Identifier
-
Mp00151:
Permutations
—to cycle type⟶
Set partitions
St001062: Set partitions ⟶ ℤ
Values
=>
Cc0009;cc-rep
[1,2]=>{{1},{2}}=>1
[2,1]=>{{1,2}}=>2
[1,2,3]=>{{1},{2},{3}}=>1
[1,3,2]=>{{1},{2,3}}=>2
[2,1,3]=>{{1,2},{3}}=>2
[2,3,1]=>{{1,2,3}}=>3
[3,1,2]=>{{1,2,3}}=>3
[3,2,1]=>{{1,3},{2}}=>2
[1,2,3,4]=>{{1},{2},{3},{4}}=>1
[1,2,4,3]=>{{1},{2},{3,4}}=>2
[1,3,2,4]=>{{1},{2,3},{4}}=>2
[1,3,4,2]=>{{1},{2,3,4}}=>3
[1,4,2,3]=>{{1},{2,3,4}}=>3
[1,4,3,2]=>{{1},{2,4},{3}}=>2
[2,1,3,4]=>{{1,2},{3},{4}}=>2
[2,1,4,3]=>{{1,2},{3,4}}=>2
[2,3,1,4]=>{{1,2,3},{4}}=>3
[2,3,4,1]=>{{1,2,3,4}}=>4
[2,4,1,3]=>{{1,2,3,4}}=>4
[2,4,3,1]=>{{1,2,4},{3}}=>3
[3,1,2,4]=>{{1,2,3},{4}}=>3
[3,1,4,2]=>{{1,2,3,4}}=>4
[3,2,1,4]=>{{1,3},{2},{4}}=>2
[3,2,4,1]=>{{1,3,4},{2}}=>3
[3,4,1,2]=>{{1,3},{2,4}}=>2
[3,4,2,1]=>{{1,2,3,4}}=>4
[4,1,2,3]=>{{1,2,3,4}}=>4
[4,1,3,2]=>{{1,2,4},{3}}=>3
[4,2,1,3]=>{{1,3,4},{2}}=>3
[4,2,3,1]=>{{1,4},{2},{3}}=>2
[4,3,1,2]=>{{1,2,3,4}}=>4
[4,3,2,1]=>{{1,4},{2,3}}=>2
[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>1
[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>2
[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>2
[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>3
[1,2,5,3,4]=>{{1},{2},{3,4,5}}=>3
[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>2
[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>2
[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>2
[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>3
[1,3,4,5,2]=>{{1},{2,3,4,5}}=>4
[1,3,5,2,4]=>{{1},{2,3,4,5}}=>4
[1,3,5,4,2]=>{{1},{2,3,5},{4}}=>3
[1,4,2,3,5]=>{{1},{2,3,4},{5}}=>3
[1,4,2,5,3]=>{{1},{2,3,4,5}}=>4
[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>2
[1,4,3,5,2]=>{{1},{2,4,5},{3}}=>3
[1,4,5,2,3]=>{{1},{2,4},{3,5}}=>2
[1,4,5,3,2]=>{{1},{2,3,4,5}}=>4
[1,5,2,3,4]=>{{1},{2,3,4,5}}=>4
[1,5,2,4,3]=>{{1},{2,3,5},{4}}=>3
[1,5,3,2,4]=>{{1},{2,4,5},{3}}=>3
[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>2
[1,5,4,2,3]=>{{1},{2,3,4,5}}=>4
[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>2
[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>2
[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>2
[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>2
[2,1,4,5,3]=>{{1,2},{3,4,5}}=>3
[2,1,5,3,4]=>{{1,2},{3,4,5}}=>3
[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>2
[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>3
[2,3,1,5,4]=>{{1,2,3},{4,5}}=>3
[2,3,4,1,5]=>{{1,2,3,4},{5}}=>4
[2,3,4,5,1]=>{{1,2,3,4,5}}=>5
[2,3,5,1,4]=>{{1,2,3,4,5}}=>5
[2,3,5,4,1]=>{{1,2,3,5},{4}}=>4
[2,4,1,3,5]=>{{1,2,3,4},{5}}=>4
[2,4,1,5,3]=>{{1,2,3,4,5}}=>5
[2,4,3,1,5]=>{{1,2,4},{3},{5}}=>3
[2,4,3,5,1]=>{{1,2,4,5},{3}}=>4
[2,4,5,1,3]=>{{1,2,4},{3,5}}=>3
[2,4,5,3,1]=>{{1,2,3,4,5}}=>5
[2,5,1,3,4]=>{{1,2,3,4,5}}=>5
[2,5,1,4,3]=>{{1,2,3,5},{4}}=>4
[2,5,3,1,4]=>{{1,2,4,5},{3}}=>4
[2,5,3,4,1]=>{{1,2,5},{3},{4}}=>3
[2,5,4,1,3]=>{{1,2,3,4,5}}=>5
[2,5,4,3,1]=>{{1,2,5},{3,4}}=>3
[3,1,2,4,5]=>{{1,2,3},{4},{5}}=>3
[3,1,2,5,4]=>{{1,2,3},{4,5}}=>3
[3,1,4,2,5]=>{{1,2,3,4},{5}}=>4
[3,1,4,5,2]=>{{1,2,3,4,5}}=>5
[3,1,5,2,4]=>{{1,2,3,4,5}}=>5
[3,1,5,4,2]=>{{1,2,3,5},{4}}=>4
[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>2
[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>2
[3,2,4,1,5]=>{{1,3,4},{2},{5}}=>3
[3,2,4,5,1]=>{{1,3,4,5},{2}}=>4
[3,2,5,1,4]=>{{1,3,4,5},{2}}=>4
[3,2,5,4,1]=>{{1,3,5},{2},{4}}=>3
[3,4,1,2,5]=>{{1,3},{2,4},{5}}=>2
[3,4,1,5,2]=>{{1,3},{2,4,5}}=>3
[3,4,2,1,5]=>{{1,2,3,4},{5}}=>4
[3,4,2,5,1]=>{{1,2,3,4,5}}=>5
[3,4,5,1,2]=>{{1,2,3,4,5}}=>5
[3,4,5,2,1]=>{{1,3,5},{2,4}}=>3
[3,5,1,2,4]=>{{1,3},{2,4,5}}=>3
[3,5,1,4,2]=>{{1,3},{2,5},{4}}=>2
[3,5,2,1,4]=>{{1,2,3,4,5}}=>5
[3,5,2,4,1]=>{{1,2,3,5},{4}}=>4
[3,5,4,1,2]=>{{1,3,4},{2,5}}=>3
[3,5,4,2,1]=>{{1,2,3,4,5}}=>5
[4,1,2,3,5]=>{{1,2,3,4},{5}}=>4
[4,1,2,5,3]=>{{1,2,3,4,5}}=>5
[4,1,3,2,5]=>{{1,2,4},{3},{5}}=>3
[4,1,3,5,2]=>{{1,2,4,5},{3}}=>4
[4,1,5,2,3]=>{{1,2,4},{3,5}}=>3
[4,1,5,3,2]=>{{1,2,3,4,5}}=>5
[4,2,1,3,5]=>{{1,3,4},{2},{5}}=>3
[4,2,1,5,3]=>{{1,3,4,5},{2}}=>4
[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>2
[4,2,3,5,1]=>{{1,4,5},{2},{3}}=>3
[4,2,5,1,3]=>{{1,4},{2},{3,5}}=>2
[4,2,5,3,1]=>{{1,3,4,5},{2}}=>4
[4,3,1,2,5]=>{{1,2,3,4},{5}}=>4
[4,3,1,5,2]=>{{1,2,3,4,5}}=>5
[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>2
[4,3,2,5,1]=>{{1,4,5},{2,3}}=>3
[4,3,5,1,2]=>{{1,4},{2,3,5}}=>3
[4,3,5,2,1]=>{{1,2,3,4,5}}=>5
[4,5,1,2,3]=>{{1,2,3,4,5}}=>5
[4,5,1,3,2]=>{{1,3,4},{2,5}}=>3
[4,5,2,1,3]=>{{1,4},{2,3,5}}=>3
[4,5,2,3,1]=>{{1,2,3,4,5}}=>5
[4,5,3,1,2]=>{{1,4},{2,5},{3}}=>2
[4,5,3,2,1]=>{{1,2,4,5},{3}}=>4
[5,1,2,3,4]=>{{1,2,3,4,5}}=>5
[5,1,2,4,3]=>{{1,2,3,5},{4}}=>4
[5,1,3,2,4]=>{{1,2,4,5},{3}}=>4
[5,1,3,4,2]=>{{1,2,5},{3},{4}}=>3
[5,1,4,2,3]=>{{1,2,3,4,5}}=>5
[5,1,4,3,2]=>{{1,2,5},{3,4}}=>3
[5,2,1,3,4]=>{{1,3,4,5},{2}}=>4
[5,2,1,4,3]=>{{1,3,5},{2},{4}}=>3
[5,2,3,1,4]=>{{1,4,5},{2},{3}}=>3
[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>2
[5,2,4,1,3]=>{{1,3,4,5},{2}}=>4
[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>2
[5,3,1,2,4]=>{{1,2,3,4,5}}=>5
[5,3,1,4,2]=>{{1,2,3,5},{4}}=>4
[5,3,2,1,4]=>{{1,4,5},{2,3}}=>3
[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>2
[5,3,4,1,2]=>{{1,2,3,4,5}}=>5
[5,3,4,2,1]=>{{1,5},{2,3,4}}=>3
[5,4,1,2,3]=>{{1,3,5},{2,4}}=>3
[5,4,1,3,2]=>{{1,2,3,4,5}}=>5
[5,4,2,1,3]=>{{1,2,3,4,5}}=>5
[5,4,2,3,1]=>{{1,5},{2,3,4}}=>3
[5,4,3,1,2]=>{{1,2,4,5},{3}}=>4
[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>2
[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>1
[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>2
[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>2
[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>3
[1,2,3,6,4,5]=>{{1},{2},{3},{4,5,6}}=>3
[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>2
[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>2
[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>2
[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>3
[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>4
[1,2,4,6,3,5]=>{{1},{2},{3,4,5,6}}=>4
[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>3
[1,2,5,3,4,6]=>{{1},{2},{3,4,5},{6}}=>3
[1,2,5,3,6,4]=>{{1},{2},{3,4,5,6}}=>4
[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>2
[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>3
[1,2,5,6,3,4]=>{{1},{2},{3,5},{4,6}}=>2
[1,2,5,6,4,3]=>{{1},{2},{3,4,5,6}}=>4
[1,2,6,3,4,5]=>{{1},{2},{3,4,5,6}}=>4
[1,2,6,3,5,4]=>{{1},{2},{3,4,6},{5}}=>3
[1,2,6,4,3,5]=>{{1},{2},{3,5,6},{4}}=>3
[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>2
[1,2,6,5,3,4]=>{{1},{2},{3,4,5,6}}=>4
[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>2
[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>2
[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>2
[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>2
[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>3
[1,3,2,6,4,5]=>{{1},{2,3},{4,5,6}}=>3
[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>2
[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>3
[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>3
[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>4
[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>5
[1,3,4,6,2,5]=>{{1},{2,3,4,5,6}}=>5
[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}}=>4
[1,3,5,2,4,6]=>{{1},{2,3,4,5},{6}}=>4
[1,3,5,2,6,4]=>{{1},{2,3,4,5,6}}=>5
[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>3
[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}}=>4
[1,3,5,6,2,4]=>{{1},{2,3,5},{4,6}}=>3
[1,3,5,6,4,2]=>{{1},{2,3,4,5,6}}=>5
[1,3,6,2,4,5]=>{{1},{2,3,4,5,6}}=>5
[1,3,6,2,5,4]=>{{1},{2,3,4,6},{5}}=>4
[1,3,6,4,2,5]=>{{1},{2,3,5,6},{4}}=>4
[1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}}=>3
[1,3,6,5,2,4]=>{{1},{2,3,4,5,6}}=>5
[1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}}=>3
[1,4,2,3,5,6]=>{{1},{2,3,4},{5},{6}}=>3
[1,4,2,3,6,5]=>{{1},{2,3,4},{5,6}}=>3
[1,4,2,5,3,6]=>{{1},{2,3,4,5},{6}}=>4
[1,4,2,5,6,3]=>{{1},{2,3,4,5,6}}=>5
[1,4,2,6,3,5]=>{{1},{2,3,4,5,6}}=>5
[1,4,2,6,5,3]=>{{1},{2,3,4,6},{5}}=>4
[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>2
[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>2
[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>3
[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}}=>4
[1,4,3,6,2,5]=>{{1},{2,4,5,6},{3}}=>4
[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}}=>3
[1,4,5,2,3,6]=>{{1},{2,4},{3,5},{6}}=>2
[1,4,5,2,6,3]=>{{1},{2,4},{3,5,6}}=>3
[1,4,5,3,2,6]=>{{1},{2,3,4,5},{6}}=>4
[1,4,5,3,6,2]=>{{1},{2,3,4,5,6}}=>5
[1,4,5,6,2,3]=>{{1},{2,3,4,5,6}}=>5
[1,4,5,6,3,2]=>{{1},{2,4,6},{3,5}}=>3
[1,4,6,2,3,5]=>{{1},{2,4},{3,5,6}}=>3
[1,4,6,2,5,3]=>{{1},{2,4},{3,6},{5}}=>2
[1,4,6,3,2,5]=>{{1},{2,3,4,5,6}}=>5
[1,4,6,3,5,2]=>{{1},{2,3,4,6},{5}}=>4
[1,4,6,5,2,3]=>{{1},{2,4,5},{3,6}}=>3
[1,4,6,5,3,2]=>{{1},{2,3,4,5,6}}=>5
[1,5,2,3,4,6]=>{{1},{2,3,4,5},{6}}=>4
[1,5,2,3,6,4]=>{{1},{2,3,4,5,6}}=>5
[1,5,2,4,3,6]=>{{1},{2,3,5},{4},{6}}=>3
[1,5,2,4,6,3]=>{{1},{2,3,5,6},{4}}=>4
[1,5,2,6,3,4]=>{{1},{2,3,5},{4,6}}=>3
[1,5,2,6,4,3]=>{{1},{2,3,4,5,6}}=>5
[1,5,3,2,4,6]=>{{1},{2,4,5},{3},{6}}=>3
[1,5,3,2,6,4]=>{{1},{2,4,5,6},{3}}=>4
[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>2
[1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}}=>3
[1,5,3,6,2,4]=>{{1},{2,5},{3},{4,6}}=>2
[1,5,3,6,4,2]=>{{1},{2,4,5,6},{3}}=>4
[1,5,4,2,3,6]=>{{1},{2,3,4,5},{6}}=>4
[1,5,4,2,6,3]=>{{1},{2,3,4,5,6}}=>5
[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>2
[1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}}=>3
[1,5,4,6,2,3]=>{{1},{2,5},{3,4,6}}=>3
[1,5,4,6,3,2]=>{{1},{2,3,4,5,6}}=>5
[1,5,6,2,3,4]=>{{1},{2,3,4,5,6}}=>5
[1,5,6,2,4,3]=>{{1},{2,4,5},{3,6}}=>3
[1,5,6,3,2,4]=>{{1},{2,5},{3,4,6}}=>3
[1,5,6,3,4,2]=>{{1},{2,3,4,5,6}}=>5
[1,5,6,4,2,3]=>{{1},{2,5},{3,6},{4}}=>2
[1,5,6,4,3,2]=>{{1},{2,3,5,6},{4}}=>4
[1,6,2,3,4,5]=>{{1},{2,3,4,5,6}}=>5
[1,6,2,3,5,4]=>{{1},{2,3,4,6},{5}}=>4
[1,6,2,4,3,5]=>{{1},{2,3,5,6},{4}}=>4
[1,6,2,4,5,3]=>{{1},{2,3,6},{4},{5}}=>3
[1,6,2,5,3,4]=>{{1},{2,3,4,5,6}}=>5
[1,6,2,5,4,3]=>{{1},{2,3,6},{4,5}}=>3
[1,6,3,2,4,5]=>{{1},{2,4,5,6},{3}}=>4
[1,6,3,2,5,4]=>{{1},{2,4,6},{3},{5}}=>3
[1,6,3,4,2,5]=>{{1},{2,5,6},{3},{4}}=>3
[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>2
[1,6,3,5,2,4]=>{{1},{2,4,5,6},{3}}=>4
[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>2
[1,6,4,2,3,5]=>{{1},{2,3,4,5,6}}=>5
[1,6,4,2,5,3]=>{{1},{2,3,4,6},{5}}=>4
[1,6,4,3,2,5]=>{{1},{2,5,6},{3,4}}=>3
[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>2
[1,6,4,5,2,3]=>{{1},{2,3,4,5,6}}=>5
[1,6,4,5,3,2]=>{{1},{2,6},{3,4,5}}=>3
[1,6,5,2,3,4]=>{{1},{2,4,6},{3,5}}=>3
[1,6,5,2,4,3]=>{{1},{2,3,4,5,6}}=>5
[1,6,5,3,2,4]=>{{1},{2,3,4,5,6}}=>5
[1,6,5,3,4,2]=>{{1},{2,6},{3,4,5}}=>3
[1,6,5,4,2,3]=>{{1},{2,3,5,6},{4}}=>4
[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>2
[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>2
[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>2
[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>2
[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>3
[2,1,3,6,4,5]=>{{1,2},{3},{4,5,6}}=>3
[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>2
[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>2
[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>2
[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>3
[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>4
[2,1,4,6,3,5]=>{{1,2},{3,4,5,6}}=>4
[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>3
[2,1,5,3,4,6]=>{{1,2},{3,4,5},{6}}=>3
[2,1,5,3,6,4]=>{{1,2},{3,4,5,6}}=>4
[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>2
[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>3
[2,1,5,6,3,4]=>{{1,2},{3,5},{4,6}}=>2
[2,1,5,6,4,3]=>{{1,2},{3,4,5,6}}=>4
[2,1,6,3,4,5]=>{{1,2},{3,4,5,6}}=>4
[2,1,6,3,5,4]=>{{1,2},{3,4,6},{5}}=>3
[2,1,6,4,3,5]=>{{1,2},{3,5,6},{4}}=>3
[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>2
[2,1,6,5,3,4]=>{{1,2},{3,4,5,6}}=>4
[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>2
[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>3
[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>3
[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>3
[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>3
[2,3,1,6,4,5]=>{{1,2,3},{4,5,6}}=>3
[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>3
[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>4
[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>4
[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>5
[2,3,4,5,6,1]=>{{1,2,3,4,5,6}}=>6
[2,3,4,6,1,5]=>{{1,2,3,4,5,6}}=>6
[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}}=>5
[2,3,5,1,4,6]=>{{1,2,3,4,5},{6}}=>5
[2,3,5,1,6,4]=>{{1,2,3,4,5,6}}=>6
[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>4
[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}}=>5
[2,3,5,6,1,4]=>{{1,2,3,5},{4,6}}=>4
[2,3,5,6,4,1]=>{{1,2,3,4,5,6}}=>6
[2,3,6,1,4,5]=>{{1,2,3,4,5,6}}=>6
[2,3,6,1,5,4]=>{{1,2,3,4,6},{5}}=>5
[2,3,6,4,1,5]=>{{1,2,3,5,6},{4}}=>5
[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}}=>4
[2,3,6,5,1,4]=>{{1,2,3,4,5,6}}=>6
[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}}=>4
[2,4,1,3,5,6]=>{{1,2,3,4},{5},{6}}=>4
[2,4,1,3,6,5]=>{{1,2,3,4},{5,6}}=>4
[2,4,1,5,3,6]=>{{1,2,3,4,5},{6}}=>5
[2,4,1,5,6,3]=>{{1,2,3,4,5,6}}=>6
[2,4,1,6,3,5]=>{{1,2,3,4,5,6}}=>6
[2,4,1,6,5,3]=>{{1,2,3,4,6},{5}}=>5
[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>3
[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>3
[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}=>4
[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}}=>5
[2,4,3,6,1,5]=>{{1,2,4,5,6},{3}}=>5
[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}}=>4
[2,4,5,1,3,6]=>{{1,2,4},{3,5},{6}}=>3
[2,4,5,1,6,3]=>{{1,2,4},{3,5,6}}=>3
[2,4,5,3,1,6]=>{{1,2,3,4,5},{6}}=>5
[2,4,5,3,6,1]=>{{1,2,3,4,5,6}}=>6
[2,4,5,6,1,3]=>{{1,2,3,4,5,6}}=>6
[2,4,5,6,3,1]=>{{1,2,4,6},{3,5}}=>4
[2,4,6,1,3,5]=>{{1,2,4},{3,5,6}}=>3
[2,4,6,1,5,3]=>{{1,2,4},{3,6},{5}}=>3
[2,4,6,3,1,5]=>{{1,2,3,4,5,6}}=>6
[2,4,6,3,5,1]=>{{1,2,3,4,6},{5}}=>5
[2,4,6,5,1,3]=>{{1,2,4,5},{3,6}}=>4
[2,4,6,5,3,1]=>{{1,2,3,4,5,6}}=>6
[2,5,1,3,4,6]=>{{1,2,3,4,5},{6}}=>5
[2,5,1,3,6,4]=>{{1,2,3,4,5,6}}=>6
[2,5,1,4,3,6]=>{{1,2,3,5},{4},{6}}=>4
[2,5,1,4,6,3]=>{{1,2,3,5,6},{4}}=>5
[2,5,1,6,3,4]=>{{1,2,3,5},{4,6}}=>4
[2,5,1,6,4,3]=>{{1,2,3,4,5,6}}=>6
[2,5,3,1,4,6]=>{{1,2,4,5},{3},{6}}=>4
[2,5,3,1,6,4]=>{{1,2,4,5,6},{3}}=>5
[2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}}=>3
[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}}=>4
[2,5,3,6,1,4]=>{{1,2,5},{3},{4,6}}=>3
[2,5,3,6,4,1]=>{{1,2,4,5,6},{3}}=>5
[2,5,4,1,3,6]=>{{1,2,3,4,5},{6}}=>5
[2,5,4,1,6,3]=>{{1,2,3,4,5,6}}=>6
[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}}=>3
[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}}=>4
[2,5,4,6,1,3]=>{{1,2,5},{3,4,6}}=>3
[2,5,4,6,3,1]=>{{1,2,3,4,5,6}}=>6
[2,5,6,1,3,4]=>{{1,2,3,4,5,6}}=>6
[2,5,6,1,4,3]=>{{1,2,4,5},{3,6}}=>4
[2,5,6,3,1,4]=>{{1,2,5},{3,4,6}}=>3
[2,5,6,3,4,1]=>{{1,2,3,4,5,6}}=>6
[2,5,6,4,1,3]=>{{1,2,5},{3,6},{4}}=>3
[2,5,6,4,3,1]=>{{1,2,3,5,6},{4}}=>5
[2,6,1,3,4,5]=>{{1,2,3,4,5,6}}=>6
[2,6,1,3,5,4]=>{{1,2,3,4,6},{5}}=>5
[2,6,1,4,3,5]=>{{1,2,3,5,6},{4}}=>5
[2,6,1,4,5,3]=>{{1,2,3,6},{4},{5}}=>4
[2,6,1,5,3,4]=>{{1,2,3,4,5,6}}=>6
[2,6,1,5,4,3]=>{{1,2,3,6},{4,5}}=>4
[2,6,3,1,4,5]=>{{1,2,4,5,6},{3}}=>5
[2,6,3,1,5,4]=>{{1,2,4,6},{3},{5}}=>4
[2,6,3,4,1,5]=>{{1,2,5,6},{3},{4}}=>4
[2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}}=>3
[2,6,3,5,1,4]=>{{1,2,4,5,6},{3}}=>5
[2,6,3,5,4,1]=>{{1,2,6},{3},{4,5}}=>3
[2,6,4,1,3,5]=>{{1,2,3,4,5,6}}=>6
[2,6,4,1,5,3]=>{{1,2,3,4,6},{5}}=>5
[2,6,4,3,1,5]=>{{1,2,5,6},{3,4}}=>4
[2,6,4,3,5,1]=>{{1,2,6},{3,4},{5}}=>3
[2,6,4,5,1,3]=>{{1,2,3,4,5,6}}=>6
[2,6,4,5,3,1]=>{{1,2,6},{3,4,5}}=>3
[2,6,5,1,3,4]=>{{1,2,4,6},{3,5}}=>4
[2,6,5,1,4,3]=>{{1,2,3,4,5,6}}=>6
[2,6,5,3,1,4]=>{{1,2,3,4,5,6}}=>6
[2,6,5,3,4,1]=>{{1,2,6},{3,4,5}}=>3
[2,6,5,4,1,3]=>{{1,2,3,5,6},{4}}=>5
[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}}=>3
[3,1,2,4,5,6]=>{{1,2,3},{4},{5},{6}}=>3
[3,1,2,4,6,5]=>{{1,2,3},{4},{5,6}}=>3
[3,1,2,5,4,6]=>{{1,2,3},{4,5},{6}}=>3
[3,1,2,5,6,4]=>{{1,2,3},{4,5,6}}=>3
[3,1,2,6,4,5]=>{{1,2,3},{4,5,6}}=>3
[3,1,2,6,5,4]=>{{1,2,3},{4,6},{5}}=>3
[3,1,4,2,5,6]=>{{1,2,3,4},{5},{6}}=>4
[3,1,4,2,6,5]=>{{1,2,3,4},{5,6}}=>4
[3,1,4,5,2,6]=>{{1,2,3,4,5},{6}}=>5
[3,1,4,5,6,2]=>{{1,2,3,4,5,6}}=>6
[3,1,4,6,2,5]=>{{1,2,3,4,5,6}}=>6
[3,1,4,6,5,2]=>{{1,2,3,4,6},{5}}=>5
[3,1,5,2,4,6]=>{{1,2,3,4,5},{6}}=>5
[3,1,5,2,6,4]=>{{1,2,3,4,5,6}}=>6
[3,1,5,4,2,6]=>{{1,2,3,5},{4},{6}}=>4
[3,1,5,4,6,2]=>{{1,2,3,5,6},{4}}=>5
[3,1,5,6,2,4]=>{{1,2,3,5},{4,6}}=>4
[3,1,5,6,4,2]=>{{1,2,3,4,5,6}}=>6
[3,1,6,2,4,5]=>{{1,2,3,4,5,6}}=>6
[3,1,6,2,5,4]=>{{1,2,3,4,6},{5}}=>5
[3,1,6,4,2,5]=>{{1,2,3,5,6},{4}}=>5
[3,1,6,4,5,2]=>{{1,2,3,6},{4},{5}}=>4
[3,1,6,5,2,4]=>{{1,2,3,4,5,6}}=>6
[3,1,6,5,4,2]=>{{1,2,3,6},{4,5}}=>4
[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>2
[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>2
[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>2
[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>3
[3,2,1,6,4,5]=>{{1,3},{2},{4,5,6}}=>3
[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>2
[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>3
[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>3
[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}}=>4
[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}}=>5
[3,2,4,6,1,5]=>{{1,3,4,5,6},{2}}=>5
[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}}=>4
[3,2,5,1,4,6]=>{{1,3,4,5},{2},{6}}=>4
[3,2,5,1,6,4]=>{{1,3,4,5,6},{2}}=>5
[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}}=>3
[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}}=>4
[3,2,5,6,1,4]=>{{1,3,5},{2},{4,6}}=>3
[3,2,5,6,4,1]=>{{1,3,4,5,6},{2}}=>5
[3,2,6,1,4,5]=>{{1,3,4,5,6},{2}}=>5
[3,2,6,1,5,4]=>{{1,3,4,6},{2},{5}}=>4
[3,2,6,4,1,5]=>{{1,3,5,6},{2},{4}}=>4
[3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}}=>3
[3,2,6,5,1,4]=>{{1,3,4,5,6},{2}}=>5
[3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}}=>3
[3,4,1,2,5,6]=>{{1,3},{2,4},{5},{6}}=>2
[3,4,1,2,6,5]=>{{1,3},{2,4},{5,6}}=>2
[3,4,1,5,2,6]=>{{1,3},{2,4,5},{6}}=>3
[3,4,1,5,6,2]=>{{1,3},{2,4,5,6}}=>4
[3,4,1,6,2,5]=>{{1,3},{2,4,5,6}}=>4
[3,4,1,6,5,2]=>{{1,3},{2,4,6},{5}}=>3
[3,4,2,1,5,6]=>{{1,2,3,4},{5},{6}}=>4
[3,4,2,1,6,5]=>{{1,2,3,4},{5,6}}=>4
[3,4,2,5,1,6]=>{{1,2,3,4,5},{6}}=>5
[3,4,2,5,6,1]=>{{1,2,3,4,5,6}}=>6
[3,4,2,6,1,5]=>{{1,2,3,4,5,6}}=>6
[3,4,2,6,5,1]=>{{1,2,3,4,6},{5}}=>5
[3,4,5,1,2,6]=>{{1,2,3,4,5},{6}}=>5
[3,4,5,1,6,2]=>{{1,2,3,4,5,6}}=>6
[3,4,5,2,1,6]=>{{1,3,5},{2,4},{6}}=>3
[3,4,5,2,6,1]=>{{1,3,5,6},{2,4}}=>4
[3,4,5,6,1,2]=>{{1,3,5},{2,4,6}}=>3
[3,4,5,6,2,1]=>{{1,2,3,4,5,6}}=>6
[3,4,6,1,2,5]=>{{1,2,3,4,5,6}}=>6
[3,4,6,1,5,2]=>{{1,2,3,4,6},{5}}=>5
[3,4,6,2,1,5]=>{{1,3,5,6},{2,4}}=>4
[3,4,6,2,5,1]=>{{1,3,6},{2,4},{5}}=>3
[3,4,6,5,1,2]=>{{1,2,3,4,5,6}}=>6
[3,4,6,5,2,1]=>{{1,3,6},{2,4,5}}=>3
[3,5,1,2,4,6]=>{{1,3},{2,4,5},{6}}=>3
[3,5,1,2,6,4]=>{{1,3},{2,4,5,6}}=>4
[3,5,1,4,2,6]=>{{1,3},{2,5},{4},{6}}=>2
[3,5,1,4,6,2]=>{{1,3},{2,5,6},{4}}=>3
[3,5,1,6,2,4]=>{{1,3},{2,5},{4,6}}=>2
[3,5,1,6,4,2]=>{{1,3},{2,4,5,6}}=>4
[3,5,2,1,4,6]=>{{1,2,3,4,5},{6}}=>5
[3,5,2,1,6,4]=>{{1,2,3,4,5,6}}=>6
[3,5,2,4,1,6]=>{{1,2,3,5},{4},{6}}=>4
[3,5,2,4,6,1]=>{{1,2,3,5,6},{4}}=>5
[3,5,2,6,1,4]=>{{1,2,3,5},{4,6}}=>4
[3,5,2,6,4,1]=>{{1,2,3,4,5,6}}=>6
[3,5,4,1,2,6]=>{{1,3,4},{2,5},{6}}=>3
[3,5,4,1,6,2]=>{{1,3,4},{2,5,6}}=>3
[3,5,4,2,1,6]=>{{1,2,3,4,5},{6}}=>5
[3,5,4,2,6,1]=>{{1,2,3,4,5,6}}=>6
[3,5,4,6,1,2]=>{{1,2,3,4,5,6}}=>6
[3,5,4,6,2,1]=>{{1,3,4,6},{2,5}}=>4
[3,5,6,1,2,4]=>{{1,3,4,6},{2,5}}=>4
[3,5,6,1,4,2]=>{{1,2,3,4,5,6}}=>6
[3,5,6,2,1,4]=>{{1,2,3,4,5,6}}=>6
[3,5,6,2,4,1]=>{{1,3,6},{2,4,5}}=>3
[3,5,6,4,1,2]=>{{1,2,3,5,6},{4}}=>5
[3,5,6,4,2,1]=>{{1,3,6},{2,5},{4}}=>3
[3,6,1,2,4,5]=>{{1,3},{2,4,5,6}}=>4
[3,6,1,2,5,4]=>{{1,3},{2,4,6},{5}}=>3
[3,6,1,4,2,5]=>{{1,3},{2,5,6},{4}}=>3
[3,6,1,4,5,2]=>{{1,3},{2,6},{4},{5}}=>2
[3,6,1,5,2,4]=>{{1,3},{2,4,5,6}}=>4
[3,6,1,5,4,2]=>{{1,3},{2,6},{4,5}}=>2
[3,6,2,1,4,5]=>{{1,2,3,4,5,6}}=>6
[3,6,2,1,5,4]=>{{1,2,3,4,6},{5}}=>5
[3,6,2,4,1,5]=>{{1,2,3,5,6},{4}}=>5
[3,6,2,4,5,1]=>{{1,2,3,6},{4},{5}}=>4
[3,6,2,5,1,4]=>{{1,2,3,4,5,6}}=>6
[3,6,2,5,4,1]=>{{1,2,3,6},{4,5}}=>4
[3,6,4,1,2,5]=>{{1,3,4},{2,5,6}}=>3
[3,6,4,1,5,2]=>{{1,3,4},{2,6},{5}}=>3
[3,6,4,2,1,5]=>{{1,2,3,4,5,6}}=>6
[3,6,4,2,5,1]=>{{1,2,3,4,6},{5}}=>5
[3,6,4,5,1,2]=>{{1,3,4,5},{2,6}}=>4
[3,6,4,5,2,1]=>{{1,2,3,4,5,6}}=>6
[3,6,5,1,2,4]=>{{1,2,3,4,5,6}}=>6
[3,6,5,1,4,2]=>{{1,3,4,5},{2,6}}=>4
[3,6,5,2,1,4]=>{{1,3,5},{2,4,6}}=>3
[3,6,5,2,4,1]=>{{1,2,3,4,5,6}}=>6
[3,6,5,4,1,2]=>{{1,3,5},{2,6},{4}}=>3
[3,6,5,4,2,1]=>{{1,2,3,5,6},{4}}=>5
[4,1,2,3,5,6]=>{{1,2,3,4},{5},{6}}=>4
[4,1,2,3,6,5]=>{{1,2,3,4},{5,6}}=>4
[4,1,2,5,3,6]=>{{1,2,3,4,5},{6}}=>5
[4,1,2,5,6,3]=>{{1,2,3,4,5,6}}=>6
[4,1,2,6,3,5]=>{{1,2,3,4,5,6}}=>6
[4,1,2,6,5,3]=>{{1,2,3,4,6},{5}}=>5
[4,1,3,2,5,6]=>{{1,2,4},{3},{5},{6}}=>3
[4,1,3,2,6,5]=>{{1,2,4},{3},{5,6}}=>3
[4,1,3,5,2,6]=>{{1,2,4,5},{3},{6}}=>4
[4,1,3,5,6,2]=>{{1,2,4,5,6},{3}}=>5
[4,1,3,6,2,5]=>{{1,2,4,5,6},{3}}=>5
[4,1,3,6,5,2]=>{{1,2,4,6},{3},{5}}=>4
[4,1,5,2,3,6]=>{{1,2,4},{3,5},{6}}=>3
[4,1,5,2,6,3]=>{{1,2,4},{3,5,6}}=>3
[4,1,5,3,2,6]=>{{1,2,3,4,5},{6}}=>5
[4,1,5,3,6,2]=>{{1,2,3,4,5,6}}=>6
[4,1,5,6,2,3]=>{{1,2,3,4,5,6}}=>6
[4,1,5,6,3,2]=>{{1,2,4,6},{3,5}}=>4
[4,1,6,2,3,5]=>{{1,2,4},{3,5,6}}=>3
[4,1,6,2,5,3]=>{{1,2,4},{3,6},{5}}=>3
[4,1,6,3,2,5]=>{{1,2,3,4,5,6}}=>6
[4,1,6,3,5,2]=>{{1,2,3,4,6},{5}}=>5
[4,1,6,5,2,3]=>{{1,2,4,5},{3,6}}=>4
[4,1,6,5,3,2]=>{{1,2,3,4,5,6}}=>6
[4,2,1,3,5,6]=>{{1,3,4},{2},{5},{6}}=>3
[4,2,1,3,6,5]=>{{1,3,4},{2},{5,6}}=>3
[4,2,1,5,3,6]=>{{1,3,4,5},{2},{6}}=>4
[4,2,1,5,6,3]=>{{1,3,4,5,6},{2}}=>5
[4,2,1,6,3,5]=>{{1,3,4,5,6},{2}}=>5
[4,2,1,6,5,3]=>{{1,3,4,6},{2},{5}}=>4
[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>2
[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>2
[4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}}=>3
[4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}}=>4
[4,2,3,6,1,5]=>{{1,4,5,6},{2},{3}}=>4
[4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}}=>3
[4,2,5,1,3,6]=>{{1,4},{2},{3,5},{6}}=>2
[4,2,5,1,6,3]=>{{1,4},{2},{3,5,6}}=>3
[4,2,5,3,1,6]=>{{1,3,4,5},{2},{6}}=>4
[4,2,5,3,6,1]=>{{1,3,4,5,6},{2}}=>5
[4,2,5,6,1,3]=>{{1,3,4,5,6},{2}}=>5
[4,2,5,6,3,1]=>{{1,4,6},{2},{3,5}}=>3
[4,2,6,1,3,5]=>{{1,4},{2},{3,5,6}}=>3
[4,2,6,1,5,3]=>{{1,4},{2},{3,6},{5}}=>2
[4,2,6,3,1,5]=>{{1,3,4,5,6},{2}}=>5
[4,2,6,3,5,1]=>{{1,3,4,6},{2},{5}}=>4
[4,2,6,5,1,3]=>{{1,4,5},{2},{3,6}}=>3
[4,2,6,5,3,1]=>{{1,3,4,5,6},{2}}=>5
[4,3,1,2,5,6]=>{{1,2,3,4},{5},{6}}=>4
[4,3,1,2,6,5]=>{{1,2,3,4},{5,6}}=>4
[4,3,1,5,2,6]=>{{1,2,3,4,5},{6}}=>5
[4,3,1,5,6,2]=>{{1,2,3,4,5,6}}=>6
[4,3,1,6,2,5]=>{{1,2,3,4,5,6}}=>6
[4,3,1,6,5,2]=>{{1,2,3,4,6},{5}}=>5
[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>2
[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>2
[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}}=>3
[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}}=>4
[4,3,2,6,1,5]=>{{1,4,5,6},{2,3}}=>4
[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}}=>3
[4,3,5,1,2,6]=>{{1,4},{2,3,5},{6}}=>3
[4,3,5,1,6,2]=>{{1,4},{2,3,5,6}}=>4
[4,3,5,2,1,6]=>{{1,2,3,4,5},{6}}=>5
[4,3,5,2,6,1]=>{{1,2,3,4,5,6}}=>6
[4,3,5,6,1,2]=>{{1,2,3,4,5,6}}=>6
[4,3,5,6,2,1]=>{{1,4,6},{2,3,5}}=>3
[4,3,6,1,2,5]=>{{1,4},{2,3,5,6}}=>4
[4,3,6,1,5,2]=>{{1,4},{2,3,6},{5}}=>3
[4,3,6,2,1,5]=>{{1,2,3,4,5,6}}=>6
[4,3,6,2,5,1]=>{{1,2,3,4,6},{5}}=>5
[4,3,6,5,1,2]=>{{1,4,5},{2,3,6}}=>3
[4,3,6,5,2,1]=>{{1,2,3,4,5,6}}=>6
[4,5,1,2,3,6]=>{{1,2,3,4,5},{6}}=>5
[4,5,1,2,6,3]=>{{1,2,3,4,5,6}}=>6
[4,5,1,3,2,6]=>{{1,3,4},{2,5},{6}}=>3
[4,5,1,3,6,2]=>{{1,3,4},{2,5,6}}=>3
[4,5,1,6,2,3]=>{{1,3,4,6},{2,5}}=>4
[4,5,1,6,3,2]=>{{1,2,3,4,5,6}}=>6
[4,5,2,1,3,6]=>{{1,4},{2,3,5},{6}}=>3
[4,5,2,1,6,3]=>{{1,4},{2,3,5,6}}=>4
[4,5,2,3,1,6]=>{{1,2,3,4,5},{6}}=>5
[4,5,2,3,6,1]=>{{1,2,3,4,5,6}}=>6
[4,5,2,6,1,3]=>{{1,2,3,4,5,6}}=>6
[4,5,2,6,3,1]=>{{1,4,6},{2,3,5}}=>3
[4,5,3,1,2,6]=>{{1,4},{2,5},{3},{6}}=>2
[4,5,3,1,6,2]=>{{1,4},{2,5,6},{3}}=>3
[4,5,3,2,1,6]=>{{1,2,4,5},{3},{6}}=>4
[4,5,3,2,6,1]=>{{1,2,4,5,6},{3}}=>5
[4,5,3,6,1,2]=>{{1,2,4,5,6},{3}}=>5
[4,5,3,6,2,1]=>{{1,4,6},{2,5},{3}}=>3
[4,5,6,1,2,3]=>{{1,4},{2,5},{3,6}}=>2
[4,5,6,1,3,2]=>{{1,4},{2,3,5,6}}=>4
[4,5,6,2,1,3]=>{{1,2,4,5},{3,6}}=>4
[4,5,6,2,3,1]=>{{1,2,3,4,5,6}}=>6
[4,5,6,3,1,2]=>{{1,2,3,4,5,6}}=>6
[4,5,6,3,2,1]=>{{1,3,4,6},{2,5}}=>4
[4,6,1,2,3,5]=>{{1,2,3,4,5,6}}=>6
[4,6,1,2,5,3]=>{{1,2,3,4,6},{5}}=>5
[4,6,1,3,2,5]=>{{1,3,4},{2,5,6}}=>3
[4,6,1,3,5,2]=>{{1,3,4},{2,6},{5}}=>3
[4,6,1,5,2,3]=>{{1,2,3,4,5,6}}=>6
[4,6,1,5,3,2]=>{{1,3,4,5},{2,6}}=>4
[4,6,2,1,3,5]=>{{1,4},{2,3,5,6}}=>4
[4,6,2,1,5,3]=>{{1,4},{2,3,6},{5}}=>3
[4,6,2,3,1,5]=>{{1,2,3,4,5,6}}=>6
[4,6,2,3,5,1]=>{{1,2,3,4,6},{5}}=>5
[4,6,2,5,1,3]=>{{1,4,5},{2,3,6}}=>3
[4,6,2,5,3,1]=>{{1,2,3,4,5,6}}=>6
[4,6,3,1,2,5]=>{{1,4},{2,5,6},{3}}=>3
[4,6,3,1,5,2]=>{{1,4},{2,6},{3},{5}}=>2
[4,6,3,2,1,5]=>{{1,2,4,5,6},{3}}=>5
[4,6,3,2,5,1]=>{{1,2,4,6},{3},{5}}=>4
[4,6,3,5,1,2]=>{{1,4,5},{2,6},{3}}=>3
[4,6,3,5,2,1]=>{{1,2,4,5,6},{3}}=>5
[4,6,5,1,2,3]=>{{1,4},{2,3,5,6}}=>4
[4,6,5,1,3,2]=>{{1,4},{2,6},{3,5}}=>2
[4,6,5,2,1,3]=>{{1,2,3,4,5,6}}=>6
[4,6,5,2,3,1]=>{{1,2,4,6},{3,5}}=>4
[4,6,5,3,1,2]=>{{1,3,4,5},{2,6}}=>4
[4,6,5,3,2,1]=>{{1,2,3,4,5,6}}=>6
[5,1,2,3,4,6]=>{{1,2,3,4,5},{6}}=>5
[5,1,2,3,6,4]=>{{1,2,3,4,5,6}}=>6
[5,1,2,4,3,6]=>{{1,2,3,5},{4},{6}}=>4
[5,1,2,4,6,3]=>{{1,2,3,5,6},{4}}=>5
[5,1,2,6,3,4]=>{{1,2,3,5},{4,6}}=>4
[5,1,2,6,4,3]=>{{1,2,3,4,5,6}}=>6
[5,1,3,2,4,6]=>{{1,2,4,5},{3},{6}}=>4
[5,1,3,2,6,4]=>{{1,2,4,5,6},{3}}=>5
[5,1,3,4,2,6]=>{{1,2,5},{3},{4},{6}}=>3
[5,1,3,4,6,2]=>{{1,2,5,6},{3},{4}}=>4
[5,1,3,6,2,4]=>{{1,2,5},{3},{4,6}}=>3
[5,1,3,6,4,2]=>{{1,2,4,5,6},{3}}=>5
[5,1,4,2,3,6]=>{{1,2,3,4,5},{6}}=>5
[5,1,4,2,6,3]=>{{1,2,3,4,5,6}}=>6
[5,1,4,3,2,6]=>{{1,2,5},{3,4},{6}}=>3
[5,1,4,3,6,2]=>{{1,2,5,6},{3,4}}=>4
[5,1,4,6,2,3]=>{{1,2,5},{3,4,6}}=>3
[5,1,4,6,3,2]=>{{1,2,3,4,5,6}}=>6
[5,1,6,2,3,4]=>{{1,2,3,4,5,6}}=>6
[5,1,6,2,4,3]=>{{1,2,4,5},{3,6}}=>4
[5,1,6,3,2,4]=>{{1,2,5},{3,4,6}}=>3
[5,1,6,3,4,2]=>{{1,2,3,4,5,6}}=>6
[5,1,6,4,2,3]=>{{1,2,5},{3,6},{4}}=>3
[5,1,6,4,3,2]=>{{1,2,3,5,6},{4}}=>5
[5,2,1,3,4,6]=>{{1,3,4,5},{2},{6}}=>4
[5,2,1,3,6,4]=>{{1,3,4,5,6},{2}}=>5
[5,2,1,4,3,6]=>{{1,3,5},{2},{4},{6}}=>3
[5,2,1,4,6,3]=>{{1,3,5,6},{2},{4}}=>4
[5,2,1,6,3,4]=>{{1,3,5},{2},{4,6}}=>3
[5,2,1,6,4,3]=>{{1,3,4,5,6},{2}}=>5
[5,2,3,1,4,6]=>{{1,4,5},{2},{3},{6}}=>3
[5,2,3,1,6,4]=>{{1,4,5,6},{2},{3}}=>4
[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>2
[5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}}=>3
[5,2,3,6,1,4]=>{{1,5},{2},{3},{4,6}}=>2
[5,2,3,6,4,1]=>{{1,4,5,6},{2},{3}}=>4
[5,2,4,1,3,6]=>{{1,3,4,5},{2},{6}}=>4
[5,2,4,1,6,3]=>{{1,3,4,5,6},{2}}=>5
[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>2
[5,2,4,3,6,1]=>{{1,5,6},{2},{3,4}}=>3
[5,2,4,6,1,3]=>{{1,5},{2},{3,4,6}}=>3
[5,2,4,6,3,1]=>{{1,3,4,5,6},{2}}=>5
[5,2,6,1,3,4]=>{{1,3,4,5,6},{2}}=>5
[5,2,6,1,4,3]=>{{1,4,5},{2},{3,6}}=>3
[5,2,6,3,1,4]=>{{1,5},{2},{3,4,6}}=>3
[5,2,6,3,4,1]=>{{1,3,4,5,6},{2}}=>5
[5,2,6,4,1,3]=>{{1,5},{2},{3,6},{4}}=>2
[5,2,6,4,3,1]=>{{1,3,5,6},{2},{4}}=>4
[5,3,1,2,4,6]=>{{1,2,3,4,5},{6}}=>5
[5,3,1,2,6,4]=>{{1,2,3,4,5,6}}=>6
[5,3,1,4,2,6]=>{{1,2,3,5},{4},{6}}=>4
[5,3,1,4,6,2]=>{{1,2,3,5,6},{4}}=>5
[5,3,1,6,2,4]=>{{1,2,3,5},{4,6}}=>4
[5,3,1,6,4,2]=>{{1,2,3,4,5,6}}=>6
[5,3,2,1,4,6]=>{{1,4,5},{2,3},{6}}=>3
[5,3,2,1,6,4]=>{{1,4,5,6},{2,3}}=>4
[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>2
[5,3,2,4,6,1]=>{{1,5,6},{2,3},{4}}=>3
[5,3,2,6,1,4]=>{{1,5},{2,3},{4,6}}=>2
[5,3,2,6,4,1]=>{{1,4,5,6},{2,3}}=>4
[5,3,4,1,2,6]=>{{1,2,3,4,5},{6}}=>5
[5,3,4,1,6,2]=>{{1,2,3,4,5,6}}=>6
[5,3,4,2,1,6]=>{{1,5},{2,3,4},{6}}=>3
[5,3,4,2,6,1]=>{{1,5,6},{2,3,4}}=>3
[5,3,4,6,1,2]=>{{1,5},{2,3,4,6}}=>4
[5,3,4,6,2,1]=>{{1,2,3,4,5,6}}=>6
[5,3,6,1,2,4]=>{{1,2,3,4,5,6}}=>6
[5,3,6,1,4,2]=>{{1,4,5},{2,3,6}}=>3
[5,3,6,2,1,4]=>{{1,5},{2,3,4,6}}=>4
[5,3,6,2,4,1]=>{{1,2,3,4,5,6}}=>6
[5,3,6,4,1,2]=>{{1,5},{2,3,6},{4}}=>3
[5,3,6,4,2,1]=>{{1,2,3,5,6},{4}}=>5
[5,4,1,2,3,6]=>{{1,3,5},{2,4},{6}}=>3
[5,4,1,2,6,3]=>{{1,3,5,6},{2,4}}=>4
[5,4,1,3,2,6]=>{{1,2,3,4,5},{6}}=>5
[5,4,1,3,6,2]=>{{1,2,3,4,5,6}}=>6
[5,4,1,6,2,3]=>{{1,2,3,4,5,6}}=>6
[5,4,1,6,3,2]=>{{1,3,5},{2,4,6}}=>3
[5,4,2,1,3,6]=>{{1,2,3,4,5},{6}}=>5
[5,4,2,1,6,3]=>{{1,2,3,4,5,6}}=>6
[5,4,2,3,1,6]=>{{1,5},{2,3,4},{6}}=>3
[5,4,2,3,6,1]=>{{1,5,6},{2,3,4}}=>3
[5,4,2,6,1,3]=>{{1,5},{2,3,4,6}}=>4
[5,4,2,6,3,1]=>{{1,2,3,4,5,6}}=>6
[5,4,3,1,2,6]=>{{1,2,4,5},{3},{6}}=>4
[5,4,3,1,6,2]=>{{1,2,4,5,6},{3}}=>5
[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>2
[5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}}=>3
[5,4,3,6,1,2]=>{{1,5},{2,4,6},{3}}=>3
[5,4,3,6,2,1]=>{{1,2,4,5,6},{3}}=>5
[5,4,6,1,2,3]=>{{1,2,4,5},{3,6}}=>4
[5,4,6,1,3,2]=>{{1,2,3,4,5,6}}=>6
[5,4,6,2,1,3]=>{{1,5},{2,4},{3,6}}=>2
[5,4,6,2,3,1]=>{{1,3,5,6},{2,4}}=>4
[5,4,6,3,1,2]=>{{1,5},{2,3,4,6}}=>4
[5,4,6,3,2,1]=>{{1,2,3,4,5,6}}=>6
[5,6,1,2,3,4]=>{{1,3,5},{2,4,6}}=>3
[5,6,1,2,4,3]=>{{1,2,3,4,5,6}}=>6
[5,6,1,3,2,4]=>{{1,2,3,4,5,6}}=>6
[5,6,1,3,4,2]=>{{1,3,4,5},{2,6}}=>4
[5,6,1,4,2,3]=>{{1,2,3,5,6},{4}}=>5
[5,6,1,4,3,2]=>{{1,3,5},{2,6},{4}}=>3
[5,6,2,1,3,4]=>{{1,2,3,4,5,6}}=>6
[5,6,2,1,4,3]=>{{1,4,5},{2,3,6}}=>3
[5,6,2,3,1,4]=>{{1,5},{2,3,4,6}}=>4
[5,6,2,3,4,1]=>{{1,2,3,4,5,6}}=>6
[5,6,2,4,1,3]=>{{1,5},{2,3,6},{4}}=>3
[5,6,2,4,3,1]=>{{1,2,3,5,6},{4}}=>5
[5,6,3,1,2,4]=>{{1,2,4,5,6},{3}}=>5
[5,6,3,1,4,2]=>{{1,4,5},{2,6},{3}}=>3
[5,6,3,2,1,4]=>{{1,5},{2,4,6},{3}}=>3
[5,6,3,2,4,1]=>{{1,2,4,5,6},{3}}=>5
[5,6,3,4,1,2]=>{{1,5},{2,6},{3},{4}}=>2
[5,6,3,4,2,1]=>{{1,2,5,6},{3},{4}}=>4
[5,6,4,1,2,3]=>{{1,2,3,4,5,6}}=>6
[5,6,4,1,3,2]=>{{1,3,4,5},{2,6}}=>4
[5,6,4,2,1,3]=>{{1,5},{2,3,4,6}}=>4
[5,6,4,2,3,1]=>{{1,2,3,4,5,6}}=>6
[5,6,4,3,1,2]=>{{1,5},{2,6},{3,4}}=>2
[5,6,4,3,2,1]=>{{1,2,5,6},{3,4}}=>4
[6,1,2,3,4,5]=>{{1,2,3,4,5,6}}=>6
[6,1,2,3,5,4]=>{{1,2,3,4,6},{5}}=>5
[6,1,2,4,3,5]=>{{1,2,3,5,6},{4}}=>5
[6,1,2,4,5,3]=>{{1,2,3,6},{4},{5}}=>4
[6,1,2,5,3,4]=>{{1,2,3,4,5,6}}=>6
[6,1,2,5,4,3]=>{{1,2,3,6},{4,5}}=>4
[6,1,3,2,4,5]=>{{1,2,4,5,6},{3}}=>5
[6,1,3,2,5,4]=>{{1,2,4,6},{3},{5}}=>4
[6,1,3,4,2,5]=>{{1,2,5,6},{3},{4}}=>4
[6,1,3,4,5,2]=>{{1,2,6},{3},{4},{5}}=>3
[6,1,3,5,2,4]=>{{1,2,4,5,6},{3}}=>5
[6,1,3,5,4,2]=>{{1,2,6},{3},{4,5}}=>3
[6,1,4,2,3,5]=>{{1,2,3,4,5,6}}=>6
[6,1,4,2,5,3]=>{{1,2,3,4,6},{5}}=>5
[6,1,4,3,2,5]=>{{1,2,5,6},{3,4}}=>4
[6,1,4,3,5,2]=>{{1,2,6},{3,4},{5}}=>3
[6,1,4,5,2,3]=>{{1,2,3,4,5,6}}=>6
[6,1,4,5,3,2]=>{{1,2,6},{3,4,5}}=>3
[6,1,5,2,3,4]=>{{1,2,4,6},{3,5}}=>4
[6,1,5,2,4,3]=>{{1,2,3,4,5,6}}=>6
[6,1,5,3,2,4]=>{{1,2,3,4,5,6}}=>6
[6,1,5,3,4,2]=>{{1,2,6},{3,4,5}}=>3
[6,1,5,4,2,3]=>{{1,2,3,5,6},{4}}=>5
[6,1,5,4,3,2]=>{{1,2,6},{3,5},{4}}=>3
[6,2,1,3,4,5]=>{{1,3,4,5,6},{2}}=>5
[6,2,1,3,5,4]=>{{1,3,4,6},{2},{5}}=>4
[6,2,1,4,3,5]=>{{1,3,5,6},{2},{4}}=>4
[6,2,1,4,5,3]=>{{1,3,6},{2},{4},{5}}=>3
[6,2,1,5,3,4]=>{{1,3,4,5,6},{2}}=>5
[6,2,1,5,4,3]=>{{1,3,6},{2},{4,5}}=>3
[6,2,3,1,4,5]=>{{1,4,5,6},{2},{3}}=>4
[6,2,3,1,5,4]=>{{1,4,6},{2},{3},{5}}=>3
[6,2,3,4,1,5]=>{{1,5,6},{2},{3},{4}}=>3
[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>2
[6,2,3,5,1,4]=>{{1,4,5,6},{2},{3}}=>4
[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>2
[6,2,4,1,3,5]=>{{1,3,4,5,6},{2}}=>5
[6,2,4,1,5,3]=>{{1,3,4,6},{2},{5}}=>4
[6,2,4,3,1,5]=>{{1,5,6},{2},{3,4}}=>3
[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>2
[6,2,4,5,1,3]=>{{1,3,4,5,6},{2}}=>5
[6,2,4,5,3,1]=>{{1,6},{2},{3,4,5}}=>3
[6,2,5,1,3,4]=>{{1,4,6},{2},{3,5}}=>3
[6,2,5,1,4,3]=>{{1,3,4,5,6},{2}}=>5
[6,2,5,3,1,4]=>{{1,3,4,5,6},{2}}=>5
[6,2,5,3,4,1]=>{{1,6},{2},{3,4,5}}=>3
[6,2,5,4,1,3]=>{{1,3,5,6},{2},{4}}=>4
[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>2
[6,3,1,2,4,5]=>{{1,2,3,4,5,6}}=>6
[6,3,1,2,5,4]=>{{1,2,3,4,6},{5}}=>5
[6,3,1,4,2,5]=>{{1,2,3,5,6},{4}}=>5
[6,3,1,4,5,2]=>{{1,2,3,6},{4},{5}}=>4
[6,3,1,5,2,4]=>{{1,2,3,4,5,6}}=>6
[6,3,1,5,4,2]=>{{1,2,3,6},{4,5}}=>4
[6,3,2,1,4,5]=>{{1,4,5,6},{2,3}}=>4
[6,3,2,1,5,4]=>{{1,4,6},{2,3},{5}}=>3
[6,3,2,4,1,5]=>{{1,5,6},{2,3},{4}}=>3
[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>2
[6,3,2,5,1,4]=>{{1,4,5,6},{2,3}}=>4
[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>2
[6,3,4,1,2,5]=>{{1,2,3,4,5,6}}=>6
[6,3,4,1,5,2]=>{{1,2,3,4,6},{5}}=>5
[6,3,4,2,1,5]=>{{1,5,6},{2,3,4}}=>3
[6,3,4,2,5,1]=>{{1,6},{2,3,4},{5}}=>3
[6,3,4,5,1,2]=>{{1,2,3,4,5,6}}=>6
[6,3,4,5,2,1]=>{{1,6},{2,3,4,5}}=>4
[6,3,5,1,2,4]=>{{1,4,6},{2,3,5}}=>3
[6,3,5,1,4,2]=>{{1,2,3,4,5,6}}=>6
[6,3,5,2,1,4]=>{{1,2,3,4,5,6}}=>6
[6,3,5,2,4,1]=>{{1,6},{2,3,4,5}}=>4
[6,3,5,4,1,2]=>{{1,2,3,5,6},{4}}=>5
[6,3,5,4,2,1]=>{{1,6},{2,3,5},{4}}=>3
[6,4,1,2,3,5]=>{{1,3,5,6},{2,4}}=>4
[6,4,1,2,5,3]=>{{1,3,6},{2,4},{5}}=>3
[6,4,1,3,2,5]=>{{1,2,3,4,5,6}}=>6
[6,4,1,3,5,2]=>{{1,2,3,4,6},{5}}=>5
[6,4,1,5,2,3]=>{{1,3,6},{2,4,5}}=>3
[6,4,1,5,3,2]=>{{1,2,3,4,5,6}}=>6
[6,4,2,1,3,5]=>{{1,2,3,4,5,6}}=>6
[6,4,2,1,5,3]=>{{1,2,3,4,6},{5}}=>5
[6,4,2,3,1,5]=>{{1,5,6},{2,3,4}}=>3
[6,4,2,3,5,1]=>{{1,6},{2,3,4},{5}}=>3
[6,4,2,5,1,3]=>{{1,2,3,4,5,6}}=>6
[6,4,2,5,3,1]=>{{1,6},{2,3,4,5}}=>4
[6,4,3,1,2,5]=>{{1,2,4,5,6},{3}}=>5
[6,4,3,1,5,2]=>{{1,2,4,6},{3},{5}}=>4
[6,4,3,2,1,5]=>{{1,5,6},{2,4},{3}}=>3
[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>2
[6,4,3,5,1,2]=>{{1,2,4,5,6},{3}}=>5
[6,4,3,5,2,1]=>{{1,6},{2,4,5},{3}}=>3
[6,4,5,1,2,3]=>{{1,2,3,4,5,6}}=>6
[6,4,5,1,3,2]=>{{1,2,4,6},{3,5}}=>4
[6,4,5,2,1,3]=>{{1,3,5,6},{2,4}}=>4
[6,4,5,2,3,1]=>{{1,6},{2,4},{3,5}}=>2
[6,4,5,3,1,2]=>{{1,2,3,4,5,6}}=>6
[6,4,5,3,2,1]=>{{1,6},{2,3,4,5}}=>4
[6,5,1,2,3,4]=>{{1,2,3,4,5,6}}=>6
[6,5,1,2,4,3]=>{{1,3,6},{2,4,5}}=>3
[6,5,1,3,2,4]=>{{1,3,4,6},{2,5}}=>4
[6,5,1,3,4,2]=>{{1,2,3,4,5,6}}=>6
[6,5,1,4,2,3]=>{{1,3,6},{2,5},{4}}=>3
[6,5,1,4,3,2]=>{{1,2,3,5,6},{4}}=>5
[6,5,2,1,3,4]=>{{1,4,6},{2,3,5}}=>3
[6,5,2,1,4,3]=>{{1,2,3,4,5,6}}=>6
[6,5,2,3,1,4]=>{{1,2,3,4,5,6}}=>6
[6,5,2,3,4,1]=>{{1,6},{2,3,4,5}}=>4
[6,5,2,4,1,3]=>{{1,2,3,5,6},{4}}=>5
[6,5,2,4,3,1]=>{{1,6},{2,3,5},{4}}=>3
[6,5,3,1,2,4]=>{{1,4,6},{2,5},{3}}=>3
[6,5,3,1,4,2]=>{{1,2,4,5,6},{3}}=>5
[6,5,3,2,1,4]=>{{1,2,4,5,6},{3}}=>5
[6,5,3,2,4,1]=>{{1,6},{2,4,5},{3}}=>3
[6,5,3,4,1,2]=>{{1,2,5,6},{3},{4}}=>4
[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>2
[6,5,4,1,2,3]=>{{1,3,4,6},{2,5}}=>4
[6,5,4,1,3,2]=>{{1,2,3,4,5,6}}=>6
[6,5,4,2,1,3]=>{{1,2,3,4,5,6}}=>6
[6,5,4,2,3,1]=>{{1,6},{2,3,4,5}}=>4
[6,5,4,3,1,2]=>{{1,2,5,6},{3,4}}=>4
[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>2
[1,2,3,4,5,6,7]=>{{1},{2},{3},{4},{5},{6},{7}}=>1
[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>2
[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>2
[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>3
[1,2,3,4,7,5,6]=>{{1},{2},{3},{4},{5,6,7}}=>3
[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>2
[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>2
[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>2
[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>3
[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>4
[1,2,3,5,7,4,6]=>{{1},{2},{3},{4,5,6,7}}=>4
[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}}=>3
[1,2,3,6,4,5,7]=>{{1},{2},{3},{4,5,6},{7}}=>3
[1,2,3,6,4,7,5]=>{{1},{2},{3},{4,5,6,7}}=>4
[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>2
[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}}=>3
[1,2,3,6,7,4,5]=>{{1},{2},{3},{4,6},{5,7}}=>2
[1,2,3,6,7,5,4]=>{{1},{2},{3},{4,5,6,7}}=>4
[1,2,3,7,4,5,6]=>{{1},{2},{3},{4,5,6,7}}=>4
[1,2,3,7,4,6,5]=>{{1},{2},{3},{4,5,7},{6}}=>3
[1,2,3,7,5,4,6]=>{{1},{2},{3},{4,6,7},{5}}=>3
[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>2
[1,2,3,7,6,4,5]=>{{1},{2},{3},{4,5,6,7}}=>4
[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>2
[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>2
[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>2
[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>2
[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>3
[1,2,4,3,7,5,6]=>{{1},{2},{3,4},{5,6,7}}=>3
[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}=>2
[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>3
[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>3
[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>4
[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,4,5,7,3,6]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}}=>4
[1,2,4,6,3,5,7]=>{{1},{2},{3,4,5,6},{7}}=>4
[1,2,4,6,3,7,5]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}}=>3
[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}}=>4
[1,2,4,6,7,3,5]=>{{1},{2},{3,4,6},{5,7}}=>3
[1,2,4,6,7,5,3]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,4,7,3,5,6]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,4,7,3,6,5]=>{{1},{2},{3,4,5,7},{6}}=>4
[1,2,4,7,5,3,6]=>{{1},{2},{3,4,6,7},{5}}=>4
[1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}}=>3
[1,2,4,7,6,3,5]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}}=>3
[1,2,5,3,4,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>3
[1,2,5,3,4,7,6]=>{{1},{2},{3,4,5},{6,7}}=>3
[1,2,5,3,6,4,7]=>{{1},{2},{3,4,5,6},{7}}=>4
[1,2,5,3,6,7,4]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,5,3,7,6,4]=>{{1},{2},{3,4,5,7},{6}}=>4
[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>2
[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>2
[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}}=>3
[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}}=>4
[1,2,5,4,7,3,6]=>{{1},{2},{3,5,6,7},{4}}=>4
[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}}=>3
[1,2,5,6,3,4,7]=>{{1},{2},{3,5},{4,6},{7}}=>2
[1,2,5,6,3,7,4]=>{{1},{2},{3,5},{4,6,7}}=>3
[1,2,5,6,4,3,7]=>{{1},{2},{3,4,5,6},{7}}=>4
[1,2,5,6,4,7,3]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,5,6,7,4,3]=>{{1},{2},{3,5,7},{4,6}}=>3
[1,2,5,7,3,4,6]=>{{1},{2},{3,5},{4,6,7}}=>3
[1,2,5,7,3,6,4]=>{{1},{2},{3,5},{4,7},{6}}=>2
[1,2,5,7,4,3,6]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,5,7,4,6,3]=>{{1},{2},{3,4,5,7},{6}}=>4
[1,2,5,7,6,3,4]=>{{1},{2},{3,5,6},{4,7}}=>3
[1,2,5,7,6,4,3]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,6,3,4,5,7]=>{{1},{2},{3,4,5,6},{7}}=>4
[1,2,6,3,4,7,5]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,6,3,5,4,7]=>{{1},{2},{3,4,6},{5},{7}}=>3
[1,2,6,3,5,7,4]=>{{1},{2},{3,4,6,7},{5}}=>4
[1,2,6,3,7,4,5]=>{{1},{2},{3,4,6},{5,7}}=>3
[1,2,6,3,7,5,4]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,6,4,3,5,7]=>{{1},{2},{3,5,6},{4},{7}}=>3
[1,2,6,4,3,7,5]=>{{1},{2},{3,5,6,7},{4}}=>4
[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>2
[1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}}=>3
[1,2,6,4,7,3,5]=>{{1},{2},{3,6},{4},{5,7}}=>2
[1,2,6,4,7,5,3]=>{{1},{2},{3,5,6,7},{4}}=>4
[1,2,6,5,3,4,7]=>{{1},{2},{3,4,5,6},{7}}=>4
[1,2,6,5,3,7,4]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>2
[1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}}=>3
[1,2,6,5,7,3,4]=>{{1},{2},{3,6},{4,5,7}}=>3
[1,2,6,5,7,4,3]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,6,7,3,4,5]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,6,7,3,5,4]=>{{1},{2},{3,5,6},{4,7}}=>3
[1,2,6,7,4,3,5]=>{{1},{2},{3,6},{4,5,7}}=>3
[1,2,6,7,4,5,3]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,6,7,5,3,4]=>{{1},{2},{3,6},{4,7},{5}}=>2
[1,2,6,7,5,4,3]=>{{1},{2},{3,4,6,7},{5}}=>4
[1,2,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,7,3,4,6,5]=>{{1},{2},{3,4,5,7},{6}}=>4
[1,2,7,3,5,4,6]=>{{1},{2},{3,4,6,7},{5}}=>4
[1,2,7,3,5,6,4]=>{{1},{2},{3,4,7},{5},{6}}=>3
[1,2,7,3,6,4,5]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,7,3,6,5,4]=>{{1},{2},{3,4,7},{5,6}}=>3
[1,2,7,4,3,5,6]=>{{1},{2},{3,5,6,7},{4}}=>4
[1,2,7,4,3,6,5]=>{{1},{2},{3,5,7},{4},{6}}=>3
[1,2,7,4,5,3,6]=>{{1},{2},{3,6,7},{4},{5}}=>3
[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>2
[1,2,7,4,6,3,5]=>{{1},{2},{3,5,6,7},{4}}=>4
[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>2
[1,2,7,5,3,4,6]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,7,5,3,6,4]=>{{1},{2},{3,4,5,7},{6}}=>4
[1,2,7,5,4,3,6]=>{{1},{2},{3,6,7},{4,5}}=>3
[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>2
[1,2,7,5,6,3,4]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,7,5,6,4,3]=>{{1},{2},{3,7},{4,5,6}}=>3
[1,2,7,6,3,4,5]=>{{1},{2},{3,5,7},{4,6}}=>3
[1,2,7,6,3,5,4]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,7,6,4,3,5]=>{{1},{2},{3,4,5,6,7}}=>5
[1,2,7,6,4,5,3]=>{{1},{2},{3,7},{4,5,6}}=>3
[1,2,7,6,5,3,4]=>{{1},{2},{3,4,6,7},{5}}=>4
[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>2
[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>2
[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>2
[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>2
[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>3
[1,3,2,4,7,5,6]=>{{1},{2,3},{4},{5,6,7}}=>3
[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}=>2
[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>2
[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>2
[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>3
[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>4
[1,3,2,5,7,4,6]=>{{1},{2,3},{4,5,6,7}}=>4
[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}}=>3
[1,3,2,6,4,5,7]=>{{1},{2,3},{4,5,6},{7}}=>3
[1,3,2,6,4,7,5]=>{{1},{2,3},{4,5,6,7}}=>4
[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>2
[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}}=>3
[1,3,2,6,7,4,5]=>{{1},{2,3},{4,6},{5,7}}=>2
[1,3,2,6,7,5,4]=>{{1},{2,3},{4,5,6,7}}=>4
[1,3,2,7,4,5,6]=>{{1},{2,3},{4,5,6,7}}=>4
[1,3,2,7,4,6,5]=>{{1},{2,3},{4,5,7},{6}}=>3
[1,3,2,7,5,4,6]=>{{1},{2,3},{4,6,7},{5}}=>3
[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>2
[1,3,2,7,6,4,5]=>{{1},{2,3},{4,5,6,7}}=>4
[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>2
[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>3
[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>3
[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>3
[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>3
[1,3,4,2,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>3
[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}}=>3
[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>4
[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>4
[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,4,5,7,2,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}}=>5
[1,3,4,6,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,3,4,6,2,7,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}}=>4
[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}}=>5
[1,3,4,6,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>4
[1,3,4,6,7,5,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,4,7,2,5,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,4,7,2,6,5]=>{{1},{2,3,4,5,7},{6}}=>5
[1,3,4,7,5,2,6]=>{{1},{2,3,4,6,7},{5}}=>5
[1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}}=>4
[1,3,4,7,6,2,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}}=>4
[1,3,5,2,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>4
[1,3,5,2,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>4
[1,3,5,2,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,3,5,2,6,7,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,5,2,7,4,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,5,2,7,6,4]=>{{1},{2,3,4,5,7},{6}}=>5
[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>3
[1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}}=>3
[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}}=>4
[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}}=>5
[1,3,5,4,7,2,6]=>{{1},{2,3,5,6,7},{4}}=>5
[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}}=>4
[1,3,5,6,2,4,7]=>{{1},{2,3,5},{4,6},{7}}=>3
[1,3,5,6,2,7,4]=>{{1},{2,3,5},{4,6,7}}=>3
[1,3,5,6,4,2,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,3,5,6,4,7,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,5,6,7,2,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,5,6,7,4,2]=>{{1},{2,3,5,7},{4,6}}=>4
[1,3,5,7,2,4,6]=>{{1},{2,3,5},{4,6,7}}=>3
[1,3,5,7,2,6,4]=>{{1},{2,3,5},{4,7},{6}}=>3
[1,3,5,7,4,2,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,5,7,4,6,2]=>{{1},{2,3,4,5,7},{6}}=>5
[1,3,5,7,6,2,4]=>{{1},{2,3,5,6},{4,7}}=>4
[1,3,5,7,6,4,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,6,2,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,3,6,2,4,7,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,6,2,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>4
[1,3,6,2,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>5
[1,3,6,2,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>4
[1,3,6,2,7,5,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,6,4,2,5,7]=>{{1},{2,3,5,6},{4},{7}}=>4
[1,3,6,4,2,7,5]=>{{1},{2,3,5,6,7},{4}}=>5
[1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}}=>3
[1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,3,6,4,7,2,5]=>{{1},{2,3,6},{4},{5,7}}=>3
[1,3,6,4,7,5,2]=>{{1},{2,3,5,6,7},{4}}=>5
[1,3,6,5,2,4,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,3,6,5,2,7,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}}=>3
[1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}}=>4
[1,3,6,5,7,2,4]=>{{1},{2,3,6},{4,5,7}}=>3
[1,3,6,5,7,4,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,6,7,2,4,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,6,7,2,5,4]=>{{1},{2,3,5,6},{4,7}}=>4
[1,3,6,7,4,2,5]=>{{1},{2,3,6},{4,5,7}}=>3
[1,3,6,7,4,5,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,6,7,5,2,4]=>{{1},{2,3,6},{4,7},{5}}=>3
[1,3,6,7,5,4,2]=>{{1},{2,3,4,6,7},{5}}=>5
[1,3,7,2,4,5,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,7,2,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>5
[1,3,7,2,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>5
[1,3,7,2,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>4
[1,3,7,2,6,4,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,7,2,6,5,4]=>{{1},{2,3,4,7},{5,6}}=>4
[1,3,7,4,2,5,6]=>{{1},{2,3,5,6,7},{4}}=>5
[1,3,7,4,2,6,5]=>{{1},{2,3,5,7},{4},{6}}=>4
[1,3,7,4,5,2,6]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}}=>3
[1,3,7,4,6,2,5]=>{{1},{2,3,5,6,7},{4}}=>5
[1,3,7,4,6,5,2]=>{{1},{2,3,7},{4},{5,6}}=>3
[1,3,7,5,2,4,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,7,5,2,6,4]=>{{1},{2,3,4,5,7},{6}}=>5
[1,3,7,5,4,2,6]=>{{1},{2,3,6,7},{4,5}}=>4
[1,3,7,5,4,6,2]=>{{1},{2,3,7},{4,5},{6}}=>3
[1,3,7,5,6,2,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,7,5,6,4,2]=>{{1},{2,3,7},{4,5,6}}=>3
[1,3,7,6,2,4,5]=>{{1},{2,3,5,7},{4,6}}=>4
[1,3,7,6,2,5,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,7,6,4,2,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,3,7,6,4,5,2]=>{{1},{2,3,7},{4,5,6}}=>3
[1,3,7,6,5,2,4]=>{{1},{2,3,4,6,7},{5}}=>5
[1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}}=>3
[1,4,2,3,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>3
[1,4,2,3,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>3
[1,4,2,3,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>3
[1,4,2,3,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>3
[1,4,2,3,7,5,6]=>{{1},{2,3,4},{5,6,7}}=>3
[1,4,2,3,7,6,5]=>{{1},{2,3,4},{5,7},{6}}=>3
[1,4,2,5,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>4
[1,4,2,5,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>4
[1,4,2,5,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,4,2,5,6,7,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,2,5,7,3,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,2,5,7,6,3]=>{{1},{2,3,4,5,7},{6}}=>5
[1,4,2,6,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,4,2,6,3,7,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,2,6,5,3,7]=>{{1},{2,3,4,6},{5},{7}}=>4
[1,4,2,6,5,7,3]=>{{1},{2,3,4,6,7},{5}}=>5
[1,4,2,6,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>4
[1,4,2,6,7,5,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,2,7,3,5,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,2,7,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>5
[1,4,2,7,5,3,6]=>{{1},{2,3,4,6,7},{5}}=>5
[1,4,2,7,5,6,3]=>{{1},{2,3,4,7},{5},{6}}=>4
[1,4,2,7,6,3,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,2,7,6,5,3]=>{{1},{2,3,4,7},{5,6}}=>4
[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>2
[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>2
[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>2
[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>3
[1,4,3,2,7,5,6]=>{{1},{2,4},{3},{5,6,7}}=>3
[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>2
[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>3
[1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}}=>3
[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}}=>4
[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}}=>5
[1,4,3,5,7,2,6]=>{{1},{2,4,5,6,7},{3}}=>5
[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,4,3,6,2,5,7]=>{{1},{2,4,5,6},{3},{7}}=>4
[1,4,3,6,2,7,5]=>{{1},{2,4,5,6,7},{3}}=>5
[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}}=>3
[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}}=>4
[1,4,3,6,7,2,5]=>{{1},{2,4,6},{3},{5,7}}=>3
[1,4,3,6,7,5,2]=>{{1},{2,4,5,6,7},{3}}=>5
[1,4,3,7,2,5,6]=>{{1},{2,4,5,6,7},{3}}=>5
[1,4,3,7,2,6,5]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,4,3,7,5,2,6]=>{{1},{2,4,6,7},{3},{5}}=>4
[1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}}=>3
[1,4,3,7,6,2,5]=>{{1},{2,4,5,6,7},{3}}=>5
[1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}}=>3
[1,4,5,2,3,6,7]=>{{1},{2,4},{3,5},{6},{7}}=>2
[1,4,5,2,3,7,6]=>{{1},{2,4},{3,5},{6,7}}=>2
[1,4,5,2,6,3,7]=>{{1},{2,4},{3,5,6},{7}}=>3
[1,4,5,2,6,7,3]=>{{1},{2,4},{3,5,6,7}}=>4
[1,4,5,2,7,3,6]=>{{1},{2,4},{3,5,6,7}}=>4
[1,4,5,2,7,6,3]=>{{1},{2,4},{3,5,7},{6}}=>3
[1,4,5,3,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>4
[1,4,5,3,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>4
[1,4,5,3,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,4,5,3,6,7,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,5,3,7,2,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,5,3,7,6,2]=>{{1},{2,3,4,5,7},{6}}=>5
[1,4,5,6,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,4,5,6,2,7,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,5,6,3,2,7]=>{{1},{2,4,6},{3,5},{7}}=>3
[1,4,5,6,3,7,2]=>{{1},{2,4,6,7},{3,5}}=>4
[1,4,5,6,7,2,3]=>{{1},{2,4,6},{3,5,7}}=>3
[1,4,5,6,7,3,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,5,7,2,3,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,5,7,2,6,3]=>{{1},{2,3,4,5,7},{6}}=>5
[1,4,5,7,3,2,6]=>{{1},{2,4,6,7},{3,5}}=>4
[1,4,5,7,3,6,2]=>{{1},{2,4,7},{3,5},{6}}=>3
[1,4,5,7,6,2,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,5,7,6,3,2]=>{{1},{2,4,7},{3,5,6}}=>3
[1,4,6,2,3,5,7]=>{{1},{2,4},{3,5,6},{7}}=>3
[1,4,6,2,3,7,5]=>{{1},{2,4},{3,5,6,7}}=>4
[1,4,6,2,5,3,7]=>{{1},{2,4},{3,6},{5},{7}}=>2
[1,4,6,2,5,7,3]=>{{1},{2,4},{3,6,7},{5}}=>3
[1,4,6,2,7,3,5]=>{{1},{2,4},{3,6},{5,7}}=>2
[1,4,6,2,7,5,3]=>{{1},{2,4},{3,5,6,7}}=>4
[1,4,6,3,2,5,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,4,6,3,2,7,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,6,3,5,2,7]=>{{1},{2,3,4,6},{5},{7}}=>4
[1,4,6,3,5,7,2]=>{{1},{2,3,4,6,7},{5}}=>5
[1,4,6,3,7,2,5]=>{{1},{2,3,4,6},{5,7}}=>4
[1,4,6,3,7,5,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,6,5,2,3,7]=>{{1},{2,4,5},{3,6},{7}}=>3
[1,4,6,5,2,7,3]=>{{1},{2,4,5},{3,6,7}}=>3
[1,4,6,5,3,2,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,4,6,5,3,7,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,6,5,7,2,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,6,5,7,3,2]=>{{1},{2,4,5,7},{3,6}}=>4
[1,4,6,7,2,3,5]=>{{1},{2,4,5,7},{3,6}}=>4
[1,4,6,7,2,5,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,6,7,3,2,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,6,7,3,5,2]=>{{1},{2,4,7},{3,5,6}}=>3
[1,4,6,7,5,2,3]=>{{1},{2,3,4,6,7},{5}}=>5
[1,4,6,7,5,3,2]=>{{1},{2,4,7},{3,6},{5}}=>3
[1,4,7,2,3,5,6]=>{{1},{2,4},{3,5,6,7}}=>4
[1,4,7,2,3,6,5]=>{{1},{2,4},{3,5,7},{6}}=>3
[1,4,7,2,5,3,6]=>{{1},{2,4},{3,6,7},{5}}=>3
[1,4,7,2,5,6,3]=>{{1},{2,4},{3,7},{5},{6}}=>2
[1,4,7,2,6,3,5]=>{{1},{2,4},{3,5,6,7}}=>4
[1,4,7,2,6,5,3]=>{{1},{2,4},{3,7},{5,6}}=>2
[1,4,7,3,2,5,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,7,3,2,6,5]=>{{1},{2,3,4,5,7},{6}}=>5
[1,4,7,3,5,2,6]=>{{1},{2,3,4,6,7},{5}}=>5
[1,4,7,3,5,6,2]=>{{1},{2,3,4,7},{5},{6}}=>4
[1,4,7,3,6,2,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,7,3,6,5,2]=>{{1},{2,3,4,7},{5,6}}=>4
[1,4,7,5,2,3,6]=>{{1},{2,4,5},{3,6,7}}=>3
[1,4,7,5,2,6,3]=>{{1},{2,4,5},{3,7},{6}}=>3
[1,4,7,5,3,2,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,7,5,3,6,2]=>{{1},{2,3,4,5,7},{6}}=>5
[1,4,7,5,6,2,3]=>{{1},{2,4,5,6},{3,7}}=>4
[1,4,7,5,6,3,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,7,6,2,3,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,7,6,2,5,3]=>{{1},{2,4,5,6},{3,7}}=>4
[1,4,7,6,3,2,5]=>{{1},{2,4,6},{3,5,7}}=>3
[1,4,7,6,3,5,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,4,7,6,5,2,3]=>{{1},{2,4,6},{3,7},{5}}=>3
[1,4,7,6,5,3,2]=>{{1},{2,3,4,6,7},{5}}=>5
[1,5,2,3,4,6,7]=>{{1},{2,3,4,5},{6},{7}}=>4
[1,5,2,3,4,7,6]=>{{1},{2,3,4,5},{6,7}}=>4
[1,5,2,3,6,4,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,5,2,3,6,7,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,2,3,7,4,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,2,3,7,6,4]=>{{1},{2,3,4,5,7},{6}}=>5
[1,5,2,4,3,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>3
[1,5,2,4,3,7,6]=>{{1},{2,3,5},{4},{6,7}}=>3
[1,5,2,4,6,3,7]=>{{1},{2,3,5,6},{4},{7}}=>4
[1,5,2,4,6,7,3]=>{{1},{2,3,5,6,7},{4}}=>5
[1,5,2,4,7,3,6]=>{{1},{2,3,5,6,7},{4}}=>5
[1,5,2,4,7,6,3]=>{{1},{2,3,5,7},{4},{6}}=>4
[1,5,2,6,3,4,7]=>{{1},{2,3,5},{4,6},{7}}=>3
[1,5,2,6,3,7,4]=>{{1},{2,3,5},{4,6,7}}=>3
[1,5,2,6,4,3,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,5,2,6,4,7,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,2,6,7,3,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,2,6,7,4,3]=>{{1},{2,3,5,7},{4,6}}=>4
[1,5,2,7,3,4,6]=>{{1},{2,3,5},{4,6,7}}=>3
[1,5,2,7,3,6,4]=>{{1},{2,3,5},{4,7},{6}}=>3
[1,5,2,7,4,3,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,2,7,4,6,3]=>{{1},{2,3,4,5,7},{6}}=>5
[1,5,2,7,6,3,4]=>{{1},{2,3,5,6},{4,7}}=>4
[1,5,2,7,6,4,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,3,2,4,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>3
[1,5,3,2,4,7,6]=>{{1},{2,4,5},{3},{6,7}}=>3
[1,5,3,2,6,4,7]=>{{1},{2,4,5,6},{3},{7}}=>4
[1,5,3,2,6,7,4]=>{{1},{2,4,5,6,7},{3}}=>5
[1,5,3,2,7,4,6]=>{{1},{2,4,5,6,7},{3}}=>5
[1,5,3,2,7,6,4]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>2
[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>2
[1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}}=>3
[1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}}=>4
[1,5,3,4,7,2,6]=>{{1},{2,5,6,7},{3},{4}}=>4
[1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}}=>3
[1,5,3,6,2,4,7]=>{{1},{2,5},{3},{4,6},{7}}=>2
[1,5,3,6,2,7,4]=>{{1},{2,5},{3},{4,6,7}}=>3
[1,5,3,6,4,2,7]=>{{1},{2,4,5,6},{3},{7}}=>4
[1,5,3,6,4,7,2]=>{{1},{2,4,5,6,7},{3}}=>5
[1,5,3,6,7,2,4]=>{{1},{2,4,5,6,7},{3}}=>5
[1,5,3,6,7,4,2]=>{{1},{2,5,7},{3},{4,6}}=>3
[1,5,3,7,2,4,6]=>{{1},{2,5},{3},{4,6,7}}=>3
[1,5,3,7,2,6,4]=>{{1},{2,5},{3},{4,7},{6}}=>2
[1,5,3,7,4,2,6]=>{{1},{2,4,5,6,7},{3}}=>5
[1,5,3,7,4,6,2]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,5,3,7,6,2,4]=>{{1},{2,5,6},{3},{4,7}}=>3
[1,5,3,7,6,4,2]=>{{1},{2,4,5,6,7},{3}}=>5
[1,5,4,2,3,6,7]=>{{1},{2,3,4,5},{6},{7}}=>4
[1,5,4,2,3,7,6]=>{{1},{2,3,4,5},{6,7}}=>4
[1,5,4,2,6,3,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,5,4,2,6,7,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,4,2,7,3,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,4,2,7,6,3]=>{{1},{2,3,4,5,7},{6}}=>5
[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>2
[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>2
[1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}}=>3
[1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}}=>4
[1,5,4,3,7,2,6]=>{{1},{2,5,6,7},{3,4}}=>4
[1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}}=>3
[1,5,4,6,2,3,7]=>{{1},{2,5},{3,4,6},{7}}=>3
[1,5,4,6,2,7,3]=>{{1},{2,5},{3,4,6,7}}=>4
[1,5,4,6,3,2,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,5,4,6,3,7,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,4,6,7,2,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,4,6,7,3,2]=>{{1},{2,5,7},{3,4,6}}=>3
[1,5,4,7,2,3,6]=>{{1},{2,5},{3,4,6,7}}=>4
[1,5,4,7,2,6,3]=>{{1},{2,5},{3,4,7},{6}}=>3
[1,5,4,7,3,2,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,4,7,3,6,2]=>{{1},{2,3,4,5,7},{6}}=>5
[1,5,4,7,6,2,3]=>{{1},{2,5,6},{3,4,7}}=>3
[1,5,4,7,6,3,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,6,2,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,6,2,4,3,7]=>{{1},{2,4,5},{3,6},{7}}=>3
[1,5,6,2,4,7,3]=>{{1},{2,4,5},{3,6,7}}=>3
[1,5,6,2,7,3,4]=>{{1},{2,4,5,7},{3,6}}=>4
[1,5,6,2,7,4,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,6,3,2,4,7]=>{{1},{2,5},{3,4,6},{7}}=>3
[1,5,6,3,2,7,4]=>{{1},{2,5},{3,4,6,7}}=>4
[1,5,6,3,4,2,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,5,6,3,4,7,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,6,3,7,2,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,6,3,7,4,2]=>{{1},{2,5,7},{3,4,6}}=>3
[1,5,6,4,2,3,7]=>{{1},{2,5},{3,6},{4},{7}}=>2
[1,5,6,4,2,7,3]=>{{1},{2,5},{3,6,7},{4}}=>3
[1,5,6,4,3,2,7]=>{{1},{2,3,5,6},{4},{7}}=>4
[1,5,6,4,3,7,2]=>{{1},{2,3,5,6,7},{4}}=>5
[1,5,6,4,7,2,3]=>{{1},{2,3,5,6,7},{4}}=>5
[1,5,6,4,7,3,2]=>{{1},{2,5,7},{3,6},{4}}=>3
[1,5,6,7,2,3,4]=>{{1},{2,5},{3,6},{4,7}}=>2
[1,5,6,7,2,4,3]=>{{1},{2,5},{3,4,6,7}}=>4
[1,5,6,7,3,2,4]=>{{1},{2,3,5,6},{4,7}}=>4
[1,5,6,7,3,4,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,6,7,4,2,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,6,7,4,3,2]=>{{1},{2,4,5,7},{3,6}}=>4
[1,5,7,2,3,4,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,7,2,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>5
[1,5,7,2,4,3,6]=>{{1},{2,4,5},{3,6,7}}=>3
[1,5,7,2,4,6,3]=>{{1},{2,4,5},{3,7},{6}}=>3
[1,5,7,2,6,3,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,7,2,6,4,3]=>{{1},{2,4,5,6},{3,7}}=>4
[1,5,7,3,2,4,6]=>{{1},{2,5},{3,4,6,7}}=>4
[1,5,7,3,2,6,4]=>{{1},{2,5},{3,4,7},{6}}=>3
[1,5,7,3,4,2,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,7,3,4,6,2]=>{{1},{2,3,4,5,7},{6}}=>5
[1,5,7,3,6,2,4]=>{{1},{2,5,6},{3,4,7}}=>3
[1,5,7,3,6,4,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,7,4,2,3,6]=>{{1},{2,5},{3,6,7},{4}}=>3
[1,5,7,4,2,6,3]=>{{1},{2,5},{3,7},{4},{6}}=>2
[1,5,7,4,3,2,6]=>{{1},{2,3,5,6,7},{4}}=>5
[1,5,7,4,3,6,2]=>{{1},{2,3,5,7},{4},{6}}=>4
[1,5,7,4,6,2,3]=>{{1},{2,5,6},{3,7},{4}}=>3
[1,5,7,4,6,3,2]=>{{1},{2,3,5,6,7},{4}}=>5
[1,5,7,6,2,3,4]=>{{1},{2,5},{3,4,6,7}}=>4
[1,5,7,6,2,4,3]=>{{1},{2,5},{3,7},{4,6}}=>2
[1,5,7,6,3,2,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,5,7,6,3,4,2]=>{{1},{2,3,5,7},{4,6}}=>4
[1,5,7,6,4,2,3]=>{{1},{2,4,5,6},{3,7}}=>4
[1,5,7,6,4,3,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,2,3,4,5,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,6,2,3,4,7,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,2,3,5,4,7]=>{{1},{2,3,4,6},{5},{7}}=>4
[1,6,2,3,5,7,4]=>{{1},{2,3,4,6,7},{5}}=>5
[1,6,2,3,7,4,5]=>{{1},{2,3,4,6},{5,7}}=>4
[1,6,2,3,7,5,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,2,4,3,5,7]=>{{1},{2,3,5,6},{4},{7}}=>4
[1,6,2,4,3,7,5]=>{{1},{2,3,5,6,7},{4}}=>5
[1,6,2,4,5,3,7]=>{{1},{2,3,6},{4},{5},{7}}=>3
[1,6,2,4,5,7,3]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,6,2,4,7,3,5]=>{{1},{2,3,6},{4},{5,7}}=>3
[1,6,2,4,7,5,3]=>{{1},{2,3,5,6,7},{4}}=>5
[1,6,2,5,3,4,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,6,2,5,3,7,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,2,5,4,3,7]=>{{1},{2,3,6},{4,5},{7}}=>3
[1,6,2,5,4,7,3]=>{{1},{2,3,6,7},{4,5}}=>4
[1,6,2,5,7,3,4]=>{{1},{2,3,6},{4,5,7}}=>3
[1,6,2,5,7,4,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,2,7,3,4,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,2,7,3,5,4]=>{{1},{2,3,5,6},{4,7}}=>4
[1,6,2,7,4,3,5]=>{{1},{2,3,6},{4,5,7}}=>3
[1,6,2,7,4,5,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,2,7,5,3,4]=>{{1},{2,3,6},{4,7},{5}}=>3
[1,6,2,7,5,4,3]=>{{1},{2,3,4,6,7},{5}}=>5
[1,6,3,2,4,5,7]=>{{1},{2,4,5,6},{3},{7}}=>4
[1,6,3,2,4,7,5]=>{{1},{2,4,5,6,7},{3}}=>5
[1,6,3,2,5,4,7]=>{{1},{2,4,6},{3},{5},{7}}=>3
[1,6,3,2,5,7,4]=>{{1},{2,4,6,7},{3},{5}}=>4
[1,6,3,2,7,4,5]=>{{1},{2,4,6},{3},{5,7}}=>3
[1,6,3,2,7,5,4]=>{{1},{2,4,5,6,7},{3}}=>5
[1,6,3,4,2,5,7]=>{{1},{2,5,6},{3},{4},{7}}=>3
[1,6,3,4,2,7,5]=>{{1},{2,5,6,7},{3},{4}}=>4
[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>2
[1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}}=>3
[1,6,3,4,7,2,5]=>{{1},{2,6},{3},{4},{5,7}}=>2
[1,6,3,4,7,5,2]=>{{1},{2,5,6,7},{3},{4}}=>4
[1,6,3,5,2,4,7]=>{{1},{2,4,5,6},{3},{7}}=>4
[1,6,3,5,2,7,4]=>{{1},{2,4,5,6,7},{3}}=>5
[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>2
[1,6,3,5,4,7,2]=>{{1},{2,6,7},{3},{4,5}}=>3
[1,6,3,5,7,2,4]=>{{1},{2,6},{3},{4,5,7}}=>3
[1,6,3,5,7,4,2]=>{{1},{2,4,5,6,7},{3}}=>5
[1,6,3,7,2,4,5]=>{{1},{2,4,5,6,7},{3}}=>5
[1,6,3,7,2,5,4]=>{{1},{2,5,6},{3},{4,7}}=>3
[1,6,3,7,4,2,5]=>{{1},{2,6},{3},{4,5,7}}=>3
[1,6,3,7,4,5,2]=>{{1},{2,4,5,6,7},{3}}=>5
[1,6,3,7,5,2,4]=>{{1},{2,6},{3},{4,7},{5}}=>2
[1,6,3,7,5,4,2]=>{{1},{2,4,6,7},{3},{5}}=>4
[1,6,4,2,3,5,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,6,4,2,3,7,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,4,2,5,3,7]=>{{1},{2,3,4,6},{5},{7}}=>4
[1,6,4,2,5,7,3]=>{{1},{2,3,4,6,7},{5}}=>5
[1,6,4,2,7,3,5]=>{{1},{2,3,4,6},{5,7}}=>4
[1,6,4,2,7,5,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,4,3,2,5,7]=>{{1},{2,5,6},{3,4},{7}}=>3
[1,6,4,3,2,7,5]=>{{1},{2,5,6,7},{3,4}}=>4
[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>2
[1,6,4,3,5,7,2]=>{{1},{2,6,7},{3,4},{5}}=>3
[1,6,4,3,7,2,5]=>{{1},{2,6},{3,4},{5,7}}=>2
[1,6,4,3,7,5,2]=>{{1},{2,5,6,7},{3,4}}=>4
[1,6,4,5,2,3,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,6,4,5,2,7,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,4,5,3,2,7]=>{{1},{2,6},{3,4,5},{7}}=>3
[1,6,4,5,3,7,2]=>{{1},{2,6,7},{3,4,5}}=>3
[1,6,4,5,7,2,3]=>{{1},{2,6},{3,4,5,7}}=>4
[1,6,4,5,7,3,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,4,7,2,3,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,4,7,2,5,3]=>{{1},{2,5,6},{3,4,7}}=>3
[1,6,4,7,3,2,5]=>{{1},{2,6},{3,4,5,7}}=>4
[1,6,4,7,3,5,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,4,7,5,2,3]=>{{1},{2,6},{3,4,7},{5}}=>3
[1,6,4,7,5,3,2]=>{{1},{2,3,4,6,7},{5}}=>5
[1,6,5,2,3,4,7]=>{{1},{2,4,6},{3,5},{7}}=>3
[1,6,5,2,3,7,4]=>{{1},{2,4,6,7},{3,5}}=>4
[1,6,5,2,4,3,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,6,5,2,4,7,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,5,2,7,3,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,5,2,7,4,3]=>{{1},{2,4,6},{3,5,7}}=>3
[1,6,5,3,2,4,7]=>{{1},{2,3,4,5,6},{7}}=>5
[1,6,5,3,2,7,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,5,3,4,2,7]=>{{1},{2,6},{3,4,5},{7}}=>3
[1,6,5,3,4,7,2]=>{{1},{2,6,7},{3,4,5}}=>3
[1,6,5,3,7,2,4]=>{{1},{2,6},{3,4,5,7}}=>4
[1,6,5,3,7,4,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,5,4,2,3,7]=>{{1},{2,3,5,6},{4},{7}}=>4
[1,6,5,4,2,7,3]=>{{1},{2,3,5,6,7},{4}}=>5
[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>2
[1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}}=>3
[1,6,5,4,7,2,3]=>{{1},{2,6},{3,5,7},{4}}=>3
[1,6,5,4,7,3,2]=>{{1},{2,3,5,6,7},{4}}=>5
[1,6,5,7,2,3,4]=>{{1},{2,3,5,6},{4,7}}=>4
[1,6,5,7,2,4,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,5,7,3,2,4]=>{{1},{2,6},{3,5},{4,7}}=>2
[1,6,5,7,3,4,2]=>{{1},{2,4,6,7},{3,5}}=>4
[1,6,5,7,4,2,3]=>{{1},{2,6},{3,4,5,7}}=>4
[1,6,5,7,4,3,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,7,2,3,4,5]=>{{1},{2,4,6},{3,5,7}}=>3
[1,6,7,2,3,5,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,7,2,4,3,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,7,2,4,5,3]=>{{1},{2,4,5,6},{3,7}}=>4
[1,6,7,2,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>5
[1,6,7,2,5,4,3]=>{{1},{2,4,6},{3,7},{5}}=>3
[1,6,7,3,2,4,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,7,3,2,5,4]=>{{1},{2,5,6},{3,4,7}}=>3
[1,6,7,3,4,2,5]=>{{1},{2,6},{3,4,5,7}}=>4
[1,6,7,3,4,5,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,7,3,5,2,4]=>{{1},{2,6},{3,4,7},{5}}=>3
[1,6,7,3,5,4,2]=>{{1},{2,3,4,6,7},{5}}=>5
[1,6,7,4,2,3,5]=>{{1},{2,3,5,6,7},{4}}=>5
[1,6,7,4,2,5,3]=>{{1},{2,5,6},{3,7},{4}}=>3
[1,6,7,4,3,2,5]=>{{1},{2,6},{3,5,7},{4}}=>3
[1,6,7,4,3,5,2]=>{{1},{2,3,5,6,7},{4}}=>5
[1,6,7,4,5,2,3]=>{{1},{2,6},{3,7},{4},{5}}=>2
[1,6,7,4,5,3,2]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,6,7,5,2,3,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,7,5,2,4,3]=>{{1},{2,4,5,6},{3,7}}=>4
[1,6,7,5,3,2,4]=>{{1},{2,6},{3,4,5,7}}=>4
[1,6,7,5,3,4,2]=>{{1},{2,3,4,5,6,7}}=>6
[1,6,7,5,4,2,3]=>{{1},{2,6},{3,7},{4,5}}=>2
[1,6,7,5,4,3,2]=>{{1},{2,3,6,7},{4,5}}=>4
[1,7,2,3,4,5,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,2,3,4,6,5]=>{{1},{2,3,4,5,7},{6}}=>5
[1,7,2,3,5,4,6]=>{{1},{2,3,4,6,7},{5}}=>5
[1,7,2,3,5,6,4]=>{{1},{2,3,4,7},{5},{6}}=>4
[1,7,2,3,6,4,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,2,3,6,5,4]=>{{1},{2,3,4,7},{5,6}}=>4
[1,7,2,4,3,5,6]=>{{1},{2,3,5,6,7},{4}}=>5
[1,7,2,4,3,6,5]=>{{1},{2,3,5,7},{4},{6}}=>4
[1,7,2,4,5,3,6]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,7,2,4,5,6,3]=>{{1},{2,3,7},{4},{5},{6}}=>3
[1,7,2,4,6,3,5]=>{{1},{2,3,5,6,7},{4}}=>5
[1,7,2,4,6,5,3]=>{{1},{2,3,7},{4},{5,6}}=>3
[1,7,2,5,3,4,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,2,5,3,6,4]=>{{1},{2,3,4,5,7},{6}}=>5
[1,7,2,5,4,3,6]=>{{1},{2,3,6,7},{4,5}}=>4
[1,7,2,5,4,6,3]=>{{1},{2,3,7},{4,5},{6}}=>3
[1,7,2,5,6,3,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,2,5,6,4,3]=>{{1},{2,3,7},{4,5,6}}=>3
[1,7,2,6,3,4,5]=>{{1},{2,3,5,7},{4,6}}=>4
[1,7,2,6,3,5,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,2,6,4,3,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,2,6,4,5,3]=>{{1},{2,3,7},{4,5,6}}=>3
[1,7,2,6,5,3,4]=>{{1},{2,3,4,6,7},{5}}=>5
[1,7,2,6,5,4,3]=>{{1},{2,3,7},{4,6},{5}}=>3
[1,7,3,2,4,5,6]=>{{1},{2,4,5,6,7},{3}}=>5
[1,7,3,2,4,6,5]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,7,3,2,5,4,6]=>{{1},{2,4,6,7},{3},{5}}=>4
[1,7,3,2,5,6,4]=>{{1},{2,4,7},{3},{5},{6}}=>3
[1,7,3,2,6,4,5]=>{{1},{2,4,5,6,7},{3}}=>5
[1,7,3,2,6,5,4]=>{{1},{2,4,7},{3},{5,6}}=>3
[1,7,3,4,2,5,6]=>{{1},{2,5,6,7},{3},{4}}=>4
[1,7,3,4,2,6,5]=>{{1},{2,5,7},{3},{4},{6}}=>3
[1,7,3,4,5,2,6]=>{{1},{2,6,7},{3},{4},{5}}=>3
[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>2
[1,7,3,4,6,2,5]=>{{1},{2,5,6,7},{3},{4}}=>4
[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>2
[1,7,3,5,2,4,6]=>{{1},{2,4,5,6,7},{3}}=>5
[1,7,3,5,2,6,4]=>{{1},{2,4,5,7},{3},{6}}=>4
[1,7,3,5,4,2,6]=>{{1},{2,6,7},{3},{4,5}}=>3
[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>2
[1,7,3,5,6,2,4]=>{{1},{2,4,5,6,7},{3}}=>5
[1,7,3,5,6,4,2]=>{{1},{2,7},{3},{4,5,6}}=>3
[1,7,3,6,2,4,5]=>{{1},{2,5,7},{3},{4,6}}=>3
[1,7,3,6,2,5,4]=>{{1},{2,4,5,6,7},{3}}=>5
[1,7,3,6,4,2,5]=>{{1},{2,4,5,6,7},{3}}=>5
[1,7,3,6,4,5,2]=>{{1},{2,7},{3},{4,5,6}}=>3
[1,7,3,6,5,2,4]=>{{1},{2,4,6,7},{3},{5}}=>4
[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>2
[1,7,4,2,3,5,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,4,2,3,6,5]=>{{1},{2,3,4,5,7},{6}}=>5
[1,7,4,2,5,3,6]=>{{1},{2,3,4,6,7},{5}}=>5
[1,7,4,2,5,6,3]=>{{1},{2,3,4,7},{5},{6}}=>4
[1,7,4,2,6,3,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,4,2,6,5,3]=>{{1},{2,3,4,7},{5,6}}=>4
[1,7,4,3,2,5,6]=>{{1},{2,5,6,7},{3,4}}=>4
[1,7,4,3,2,6,5]=>{{1},{2,5,7},{3,4},{6}}=>3
[1,7,4,3,5,2,6]=>{{1},{2,6,7},{3,4},{5}}=>3
[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>2
[1,7,4,3,6,2,5]=>{{1},{2,5,6,7},{3,4}}=>4
[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>2
[1,7,4,5,2,3,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,4,5,2,6,3]=>{{1},{2,3,4,5,7},{6}}=>5
[1,7,4,5,3,2,6]=>{{1},{2,6,7},{3,4,5}}=>3
[1,7,4,5,3,6,2]=>{{1},{2,7},{3,4,5},{6}}=>3
[1,7,4,5,6,2,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,4,5,6,3,2]=>{{1},{2,7},{3,4,5,6}}=>4
[1,7,4,6,2,3,5]=>{{1},{2,5,7},{3,4,6}}=>3
[1,7,4,6,2,5,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,4,6,3,2,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,4,6,3,5,2]=>{{1},{2,7},{3,4,5,6}}=>4
[1,7,4,6,5,2,3]=>{{1},{2,3,4,6,7},{5}}=>5
[1,7,4,6,5,3,2]=>{{1},{2,7},{3,4,6},{5}}=>3
[1,7,5,2,3,4,6]=>{{1},{2,4,6,7},{3,5}}=>4
[1,7,5,2,3,6,4]=>{{1},{2,4,7},{3,5},{6}}=>3
[1,7,5,2,4,3,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,5,2,4,6,3]=>{{1},{2,3,4,5,7},{6}}=>5
[1,7,5,2,6,3,4]=>{{1},{2,4,7},{3,5,6}}=>3
[1,7,5,2,6,4,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,5,3,2,4,6]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,5,3,2,6,4]=>{{1},{2,3,4,5,7},{6}}=>5
[1,7,5,3,4,2,6]=>{{1},{2,6,7},{3,4,5}}=>3
[1,7,5,3,4,6,2]=>{{1},{2,7},{3,4,5},{6}}=>3
[1,7,5,3,6,2,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,5,3,6,4,2]=>{{1},{2,7},{3,4,5,6}}=>4
[1,7,5,4,2,3,6]=>{{1},{2,3,5,6,7},{4}}=>5
[1,7,5,4,2,6,3]=>{{1},{2,3,5,7},{4},{6}}=>4
[1,7,5,4,3,2,6]=>{{1},{2,6,7},{3,5},{4}}=>3
[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>2
[1,7,5,4,6,2,3]=>{{1},{2,3,5,6,7},{4}}=>5
[1,7,5,4,6,3,2]=>{{1},{2,7},{3,5,6},{4}}=>3
[1,7,5,6,2,3,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,5,6,2,4,3]=>{{1},{2,3,5,7},{4,6}}=>4
[1,7,5,6,3,2,4]=>{{1},{2,4,6,7},{3,5}}=>4
[1,7,5,6,3,4,2]=>{{1},{2,7},{3,5},{4,6}}=>2
[1,7,5,6,4,2,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,5,6,4,3,2]=>{{1},{2,7},{3,4,5,6}}=>4
[1,7,6,2,3,4,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,6,2,3,5,4]=>{{1},{2,4,7},{3,5,6}}=>3
[1,7,6,2,4,3,5]=>{{1},{2,4,5,7},{3,6}}=>4
[1,7,6,2,4,5,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,6,2,5,3,4]=>{{1},{2,4,7},{3,6},{5}}=>3
[1,7,6,2,5,4,3]=>{{1},{2,3,4,6,7},{5}}=>5
[1,7,6,3,2,4,5]=>{{1},{2,5,7},{3,4,6}}=>3
[1,7,6,3,2,5,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,6,3,4,2,5]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,6,3,4,5,2]=>{{1},{2,7},{3,4,5,6}}=>4
[1,7,6,3,5,2,4]=>{{1},{2,3,4,6,7},{5}}=>5
[1,7,6,3,5,4,2]=>{{1},{2,7},{3,4,6},{5}}=>3
[1,7,6,4,2,3,5]=>{{1},{2,5,7},{3,6},{4}}=>3
[1,7,6,4,2,5,3]=>{{1},{2,3,5,6,7},{4}}=>5
[1,7,6,4,3,2,5]=>{{1},{2,3,5,6,7},{4}}=>5
[1,7,6,4,3,5,2]=>{{1},{2,7},{3,5,6},{4}}=>3
[1,7,6,4,5,2,3]=>{{1},{2,3,6,7},{4},{5}}=>4
[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>2
[1,7,6,5,2,3,4]=>{{1},{2,4,5,7},{3,6}}=>4
[1,7,6,5,2,4,3]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,6,5,3,2,4]=>{{1},{2,3,4,5,6,7}}=>6
[1,7,6,5,3,4,2]=>{{1},{2,7},{3,4,5,6}}=>4
[1,7,6,5,4,2,3]=>{{1},{2,3,6,7},{4,5}}=>4
[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>2
[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>2
[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}}=>2
[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}}=>2
[2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}}=>3
[2,1,3,4,7,5,6]=>{{1,2},{3},{4},{5,6,7}}=>3
[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}=>2
[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}}=>2
[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}}=>2
[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}}=>3
[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}}=>4
[2,1,3,5,7,4,6]=>{{1,2},{3},{4,5,6,7}}=>4
[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}}=>3
[2,1,3,6,4,5,7]=>{{1,2},{3},{4,5,6},{7}}=>3
[2,1,3,6,4,7,5]=>{{1,2},{3},{4,5,6,7}}=>4
[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>2
[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}}=>3
[2,1,3,6,7,4,5]=>{{1,2},{3},{4,6},{5,7}}=>2
[2,1,3,6,7,5,4]=>{{1,2},{3},{4,5,6,7}}=>4
[2,1,3,7,4,5,6]=>{{1,2},{3},{4,5,6,7}}=>4
[2,1,3,7,4,6,5]=>{{1,2},{3},{4,5,7},{6}}=>3
[2,1,3,7,5,4,6]=>{{1,2},{3},{4,6,7},{5}}=>3
[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>2
[2,1,3,7,6,4,5]=>{{1,2},{3},{4,5,6,7}}=>4
[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>2
[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}}=>2
[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}}=>2
[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}}=>2
[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}}=>3
[2,1,4,3,7,5,6]=>{{1,2},{3,4},{5,6,7}}=>3
[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>2
[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}}=>3
[2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}}=>3
[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}}=>4
[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,4,5,7,3,6]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}}=>4
[2,1,4,6,3,5,7]=>{{1,2},{3,4,5,6},{7}}=>4
[2,1,4,6,3,7,5]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}}=>3
[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}}=>4
[2,1,4,6,7,3,5]=>{{1,2},{3,4,6},{5,7}}=>3
[2,1,4,6,7,5,3]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,4,7,3,5,6]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,4,7,3,6,5]=>{{1,2},{3,4,5,7},{6}}=>4
[2,1,4,7,5,3,6]=>{{1,2},{3,4,6,7},{5}}=>4
[2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}}=>3
[2,1,4,7,6,3,5]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}}=>3
[2,1,5,3,4,6,7]=>{{1,2},{3,4,5},{6},{7}}=>3
[2,1,5,3,4,7,6]=>{{1,2},{3,4,5},{6,7}}=>3
[2,1,5,3,6,4,7]=>{{1,2},{3,4,5,6},{7}}=>4
[2,1,5,3,6,7,4]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,5,3,7,4,6]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,5,3,7,6,4]=>{{1,2},{3,4,5,7},{6}}=>4
[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>2
[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}=>2
[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}}=>3
[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}}=>4
[2,1,5,4,7,3,6]=>{{1,2},{3,5,6,7},{4}}=>4
[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}}=>3
[2,1,5,6,3,4,7]=>{{1,2},{3,5},{4,6},{7}}=>2
[2,1,5,6,3,7,4]=>{{1,2},{3,5},{4,6,7}}=>3
[2,1,5,6,4,3,7]=>{{1,2},{3,4,5,6},{7}}=>4
[2,1,5,6,4,7,3]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,5,6,7,3,4]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,5,6,7,4,3]=>{{1,2},{3,5,7},{4,6}}=>3
[2,1,5,7,3,4,6]=>{{1,2},{3,5},{4,6,7}}=>3
[2,1,5,7,3,6,4]=>{{1,2},{3,5},{4,7},{6}}=>2
[2,1,5,7,4,3,6]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,5,7,4,6,3]=>{{1,2},{3,4,5,7},{6}}=>4
[2,1,5,7,6,3,4]=>{{1,2},{3,5,6},{4,7}}=>3
[2,1,5,7,6,4,3]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,6,3,4,5,7]=>{{1,2},{3,4,5,6},{7}}=>4
[2,1,6,3,4,7,5]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,6,3,5,4,7]=>{{1,2},{3,4,6},{5},{7}}=>3
[2,1,6,3,5,7,4]=>{{1,2},{3,4,6,7},{5}}=>4
[2,1,6,3,7,4,5]=>{{1,2},{3,4,6},{5,7}}=>3
[2,1,6,3,7,5,4]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,6,4,3,5,7]=>{{1,2},{3,5,6},{4},{7}}=>3
[2,1,6,4,3,7,5]=>{{1,2},{3,5,6,7},{4}}=>4
[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>2
[2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}}=>3
[2,1,6,4,7,3,5]=>{{1,2},{3,6},{4},{5,7}}=>2
[2,1,6,4,7,5,3]=>{{1,2},{3,5,6,7},{4}}=>4
[2,1,6,5,3,4,7]=>{{1,2},{3,4,5,6},{7}}=>4
[2,1,6,5,3,7,4]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>2
[2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}}=>3
[2,1,6,5,7,3,4]=>{{1,2},{3,6},{4,5,7}}=>3
[2,1,6,5,7,4,3]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,6,7,3,4,5]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,6,7,3,5,4]=>{{1,2},{3,5,6},{4,7}}=>3
[2,1,6,7,4,3,5]=>{{1,2},{3,6},{4,5,7}}=>3
[2,1,6,7,4,5,3]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,6,7,5,3,4]=>{{1,2},{3,6},{4,7},{5}}=>2
[2,1,6,7,5,4,3]=>{{1,2},{3,4,6,7},{5}}=>4
[2,1,7,3,4,5,6]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,7,3,4,6,5]=>{{1,2},{3,4,5,7},{6}}=>4
[2,1,7,3,5,4,6]=>{{1,2},{3,4,6,7},{5}}=>4
[2,1,7,3,5,6,4]=>{{1,2},{3,4,7},{5},{6}}=>3
[2,1,7,3,6,4,5]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,7,3,6,5,4]=>{{1,2},{3,4,7},{5,6}}=>3
[2,1,7,4,3,5,6]=>{{1,2},{3,5,6,7},{4}}=>4
[2,1,7,4,3,6,5]=>{{1,2},{3,5,7},{4},{6}}=>3
[2,1,7,4,5,3,6]=>{{1,2},{3,6,7},{4},{5}}=>3
[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>2
[2,1,7,4,6,3,5]=>{{1,2},{3,5,6,7},{4}}=>4
[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>2
[2,1,7,5,3,4,6]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,7,5,3,6,4]=>{{1,2},{3,4,5,7},{6}}=>4
[2,1,7,5,4,3,6]=>{{1,2},{3,6,7},{4,5}}=>3
[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>2
[2,1,7,5,6,3,4]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,7,5,6,4,3]=>{{1,2},{3,7},{4,5,6}}=>3
[2,1,7,6,3,4,5]=>{{1,2},{3,5,7},{4,6}}=>3
[2,1,7,6,3,5,4]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,7,6,4,3,5]=>{{1,2},{3,4,5,6,7}}=>5
[2,1,7,6,4,5,3]=>{{1,2},{3,7},{4,5,6}}=>3
[2,1,7,6,5,3,4]=>{{1,2},{3,4,6,7},{5}}=>4
[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>2
[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>3
[2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}}=>3
[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}=>3
[2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}}=>3
[2,3,1,4,7,5,6]=>{{1,2,3},{4},{5,6,7}}=>3
[2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}}=>3
[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}=>3
[2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}}=>3
[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}=>3
[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}}=>4
[2,3,1,5,7,4,6]=>{{1,2,3},{4,5,6,7}}=>4
[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}=>3
[2,3,1,6,4,5,7]=>{{1,2,3},{4,5,6},{7}}=>3
[2,3,1,6,4,7,5]=>{{1,2,3},{4,5,6,7}}=>4
[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}=>3
[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}=>3
[2,3,1,6,7,4,5]=>{{1,2,3},{4,6},{5,7}}=>3
[2,3,1,6,7,5,4]=>{{1,2,3},{4,5,6,7}}=>4
[2,3,1,7,4,5,6]=>{{1,2,3},{4,5,6,7}}=>4
[2,3,1,7,4,6,5]=>{{1,2,3},{4,5,7},{6}}=>3
[2,3,1,7,5,4,6]=>{{1,2,3},{4,6,7},{5}}=>3
[2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}}=>3
[2,3,1,7,6,4,5]=>{{1,2,3},{4,5,6,7}}=>4
[2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}=>3
[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>4
[2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>4
[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>4
[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>4
[2,3,4,1,7,5,6]=>{{1,2,3,4},{5,6,7}}=>4
[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>4
[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}}=>7
[2,3,4,5,7,1,6]=>{{1,2,3,4,5,6,7}}=>7
[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[2,3,4,6,1,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,3,4,6,1,7,5]=>{{1,2,3,4,5,6,7}}=>7
[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>5
[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}}=>6
[2,3,4,6,7,1,5]=>{{1,2,3,4,6},{5,7}}=>5
[2,3,4,6,7,5,1]=>{{1,2,3,4,5,6,7}}=>7
[2,3,4,7,1,5,6]=>{{1,2,3,4,5,6,7}}=>7
[2,3,4,7,1,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[2,3,4,7,5,1,6]=>{{1,2,3,4,6,7},{5}}=>6
[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>5
[2,3,4,7,6,1,5]=>{{1,2,3,4,5,6,7}}=>7
[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}}=>5
[2,3,5,1,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[2,3,5,1,4,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[2,3,5,1,6,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,3,5,1,6,7,4]=>{{1,2,3,4,5,6,7}}=>7
[2,3,5,1,7,4,6]=>{{1,2,3,4,5,6,7}}=>7
[2,3,5,1,7,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}=>4
[2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}}=>4
[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}}=>5
[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}}=>6
[2,3,5,4,7,1,6]=>{{1,2,3,5,6,7},{4}}=>6
[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}=>5
[2,3,5,6,1,4,7]=>{{1,2,3,5},{4,6},{7}}=>4
[2,3,5,6,1,7,4]=>{{1,2,3,5},{4,6,7}}=>4
[2,3,5,6,4,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,3,5,6,4,7,1]=>{{1,2,3,4,5,6,7}}=>7
[2,3,5,6,7,1,4]=>{{1,2,3,4,5,6,7}}=>7
[2,3,5,6,7,4,1]=>{{1,2,3,5,7},{4,6}}=>5
[2,3,5,7,1,4,6]=>{{1,2,3,5},{4,6,7}}=>4
[2,3,5,7,1,6,4]=>{{1,2,3,5},{4,7},{6}}=>4
[2,3,5,7,4,1,6]=>{{1,2,3,4,5,6,7}}=>7
[2,3,5,7,4,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[2,3,5,7,6,1,4]=>{{1,2,3,5,6},{4,7}}=>5
[2,3,5,7,6,4,1]=>{{1,2,3,4,5,6,7}}=>7
[2,3,6,1,4,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,3,6,1,4,7,5]=>{{1,2,3,4,5,6,7}}=>7
[2,3,6,1,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>5
[2,3,6,1,5,7,4]=>{{1,2,3,4,6,7},{5}}=>6
[2,3,6,1,7,4,5]=>{{1,2,3,4,6},{5,7}}=>5
[2,3,6,1,7,5,4]=>{{1,2,3,4,5,6,7}}=>7
[2,3,6,4,1,5,7]=>{{1,2,3,5,6},{4},{7}}=>5
[2,3,6,4,1,7,5]=>{{1,2,3,5,6,7},{4}}=>6
[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}}=>4
[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}}=>5
[2,3,6,4,7,1,5]=>{{1,2,3,6},{4},{5,7}}=>4
[2,3,6,4,7,5,1]=>{{1,2,3,5,6,7},{4}}=>6
[2,3,6,5,1,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,3,6,5,1,7,4]=>{{1,2,3,4,5,6,7}}=>7
[2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}}=>4
[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}}=>5
[2,3,6,5,7,1,4]=>{{1,2,3,6},{4,5,7}}=>4
[2,3,6,5,7,4,1]=>{{1,2,3,4,5,6,7}}=>7
[2,3,6,7,1,4,5]=>{{1,2,3,4,5,6,7}}=>7
[2,3,6,7,1,5,4]=>{{1,2,3,5,6},{4,7}}=>5
[2,3,6,7,4,1,5]=>{{1,2,3,6},{4,5,7}}=>4
[2,3,6,7,4,5,1]=>{{1,2,3,4,5,6,7}}=>7
[2,3,6,7,5,1,4]=>{{1,2,3,6},{4,7},{5}}=>4
[2,3,6,7,5,4,1]=>{{1,2,3,4,6,7},{5}}=>6
[2,3,7,1,4,5,6]=>{{1,2,3,4,5,6,7}}=>7
[2,3,7,1,4,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[2,3,7,1,5,4,6]=>{{1,2,3,4,6,7},{5}}=>6
[2,3,7,1,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>5
[2,3,7,1,6,4,5]=>{{1,2,3,4,5,6,7}}=>7
[2,3,7,1,6,5,4]=>{{1,2,3,4,7},{5,6}}=>5
[2,3,7,4,1,5,6]=>{{1,2,3,5,6,7},{4}}=>6
[2,3,7,4,1,6,5]=>{{1,2,3,5,7},{4},{6}}=>5
[2,3,7,4,5,1,6]=>{{1,2,3,6,7},{4},{5}}=>5
[2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}}=>4
[2,3,7,4,6,1,5]=>{{1,2,3,5,6,7},{4}}=>6
[2,3,7,4,6,5,1]=>{{1,2,3,7},{4},{5,6}}=>4
[2,3,7,5,1,4,6]=>{{1,2,3,4,5,6,7}}=>7
[2,3,7,5,1,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[2,3,7,5,4,1,6]=>{{1,2,3,6,7},{4,5}}=>5
[2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}}=>4
[2,3,7,5,6,1,4]=>{{1,2,3,4,5,6,7}}=>7
[2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}}=>4
[2,3,7,6,1,4,5]=>{{1,2,3,5,7},{4,6}}=>5
[2,3,7,6,1,5,4]=>{{1,2,3,4,5,6,7}}=>7
[2,3,7,6,4,1,5]=>{{1,2,3,4,5,6,7}}=>7
[2,3,7,6,4,5,1]=>{{1,2,3,7},{4,5,6}}=>4
[2,3,7,6,5,1,4]=>{{1,2,3,4,6,7},{5}}=>6
[2,3,7,6,5,4,1]=>{{1,2,3,7},{4,6},{5}}=>4
[2,4,1,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>4
[2,4,1,3,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>4
[2,4,1,3,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>4
[2,4,1,3,6,7,5]=>{{1,2,3,4},{5,6,7}}=>4
[2,4,1,3,7,5,6]=>{{1,2,3,4},{5,6,7}}=>4
[2,4,1,3,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>4
[2,4,1,5,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[2,4,1,5,3,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[2,4,1,5,6,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,4,1,5,6,7,3]=>{{1,2,3,4,5,6,7}}=>7
[2,4,1,5,7,3,6]=>{{1,2,3,4,5,6,7}}=>7
[2,4,1,5,7,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[2,4,1,6,3,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,4,1,6,3,7,5]=>{{1,2,3,4,5,6,7}}=>7
[2,4,1,6,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>5
[2,4,1,6,5,7,3]=>{{1,2,3,4,6,7},{5}}=>6
[2,4,1,6,7,3,5]=>{{1,2,3,4,6},{5,7}}=>5
[2,4,1,6,7,5,3]=>{{1,2,3,4,5,6,7}}=>7
[2,4,1,7,3,5,6]=>{{1,2,3,4,5,6,7}}=>7
[2,4,1,7,3,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[2,4,1,7,5,3,6]=>{{1,2,3,4,6,7},{5}}=>6
[2,4,1,7,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>5
[2,4,1,7,6,3,5]=>{{1,2,3,4,5,6,7}}=>7
[2,4,1,7,6,5,3]=>{{1,2,3,4,7},{5,6}}=>5
[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>3
[2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>3
[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>3
[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>3
[2,4,3,1,7,5,6]=>{{1,2,4},{3},{5,6,7}}=>3
[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>3
[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>4
[2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}}=>4
[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}}=>5
[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}}=>6
[2,4,3,5,7,1,6]=>{{1,2,4,5,6,7},{3}}=>6
[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}}=>5
[2,4,3,6,1,5,7]=>{{1,2,4,5,6},{3},{7}}=>5
[2,4,3,6,1,7,5]=>{{1,2,4,5,6,7},{3}}=>6
[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}}=>4
[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}}=>5
[2,4,3,6,7,1,5]=>{{1,2,4,6},{3},{5,7}}=>4
[2,4,3,6,7,5,1]=>{{1,2,4,5,6,7},{3}}=>6
[2,4,3,7,1,5,6]=>{{1,2,4,5,6,7},{3}}=>6
[2,4,3,7,1,6,5]=>{{1,2,4,5,7},{3},{6}}=>5
[2,4,3,7,5,1,6]=>{{1,2,4,6,7},{3},{5}}=>5
[2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}}=>4
[2,4,3,7,6,1,5]=>{{1,2,4,5,6,7},{3}}=>6
[2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}}=>4
[2,4,5,1,3,6,7]=>{{1,2,4},{3,5},{6},{7}}=>3
[2,4,5,1,3,7,6]=>{{1,2,4},{3,5},{6,7}}=>3
[2,4,5,1,6,3,7]=>{{1,2,4},{3,5,6},{7}}=>3
[2,4,5,1,6,7,3]=>{{1,2,4},{3,5,6,7}}=>4
[2,4,5,1,7,3,6]=>{{1,2,4},{3,5,6,7}}=>4
[2,4,5,1,7,6,3]=>{{1,2,4},{3,5,7},{6}}=>3
[2,4,5,3,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[2,4,5,3,1,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[2,4,5,3,6,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,4,5,3,6,7,1]=>{{1,2,3,4,5,6,7}}=>7
[2,4,5,3,7,1,6]=>{{1,2,3,4,5,6,7}}=>7
[2,4,5,3,7,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[2,4,5,6,1,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,4,5,6,1,7,3]=>{{1,2,3,4,5,6,7}}=>7
[2,4,5,6,3,1,7]=>{{1,2,4,6},{3,5},{7}}=>4
[2,4,5,6,3,7,1]=>{{1,2,4,6,7},{3,5}}=>5
[2,4,5,6,7,1,3]=>{{1,2,4,6},{3,5,7}}=>4
[2,4,5,6,7,3,1]=>{{1,2,3,4,5,6,7}}=>7
[2,4,5,7,1,3,6]=>{{1,2,3,4,5,6,7}}=>7
[2,4,5,7,1,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[2,4,5,7,3,1,6]=>{{1,2,4,6,7},{3,5}}=>5
[2,4,5,7,3,6,1]=>{{1,2,4,7},{3,5},{6}}=>4
[2,4,5,7,6,1,3]=>{{1,2,3,4,5,6,7}}=>7
[2,4,5,7,6,3,1]=>{{1,2,4,7},{3,5,6}}=>4
[2,4,6,1,3,5,7]=>{{1,2,4},{3,5,6},{7}}=>3
[2,4,6,1,3,7,5]=>{{1,2,4},{3,5,6,7}}=>4
[2,4,6,1,5,3,7]=>{{1,2,4},{3,6},{5},{7}}=>3
[2,4,6,1,5,7,3]=>{{1,2,4},{3,6,7},{5}}=>3
[2,4,6,1,7,3,5]=>{{1,2,4},{3,6},{5,7}}=>3
[2,4,6,1,7,5,3]=>{{1,2,4},{3,5,6,7}}=>4
[2,4,6,3,1,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,4,6,3,1,7,5]=>{{1,2,3,4,5,6,7}}=>7
[2,4,6,3,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>5
[2,4,6,3,5,7,1]=>{{1,2,3,4,6,7},{5}}=>6
[2,4,6,3,7,1,5]=>{{1,2,3,4,6},{5,7}}=>5
[2,4,6,3,7,5,1]=>{{1,2,3,4,5,6,7}}=>7
[2,4,6,5,1,3,7]=>{{1,2,4,5},{3,6},{7}}=>4
[2,4,6,5,1,7,3]=>{{1,2,4,5},{3,6,7}}=>4
[2,4,6,5,3,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,4,6,5,3,7,1]=>{{1,2,3,4,5,6,7}}=>7
[2,4,6,5,7,1,3]=>{{1,2,3,4,5,6,7}}=>7
[2,4,6,5,7,3,1]=>{{1,2,4,5,7},{3,6}}=>5
[2,4,6,7,1,3,5]=>{{1,2,4,5,7},{3,6}}=>5
[2,4,6,7,1,5,3]=>{{1,2,3,4,5,6,7}}=>7
[2,4,6,7,3,1,5]=>{{1,2,3,4,5,6,7}}=>7
[2,4,6,7,3,5,1]=>{{1,2,4,7},{3,5,6}}=>4
[2,4,6,7,5,1,3]=>{{1,2,3,4,6,7},{5}}=>6
[2,4,6,7,5,3,1]=>{{1,2,4,7},{3,6},{5}}=>4
[2,4,7,1,3,5,6]=>{{1,2,4},{3,5,6,7}}=>4
[2,4,7,1,3,6,5]=>{{1,2,4},{3,5,7},{6}}=>3
[2,4,7,1,5,3,6]=>{{1,2,4},{3,6,7},{5}}=>3
[2,4,7,1,5,6,3]=>{{1,2,4},{3,7},{5},{6}}=>3
[2,4,7,1,6,3,5]=>{{1,2,4},{3,5,6,7}}=>4
[2,4,7,1,6,5,3]=>{{1,2,4},{3,7},{5,6}}=>3
[2,4,7,3,1,5,6]=>{{1,2,3,4,5,6,7}}=>7
[2,4,7,3,1,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[2,4,7,3,5,1,6]=>{{1,2,3,4,6,7},{5}}=>6
[2,4,7,3,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>5
[2,4,7,3,6,1,5]=>{{1,2,3,4,5,6,7}}=>7
[2,4,7,3,6,5,1]=>{{1,2,3,4,7},{5,6}}=>5
[2,4,7,5,1,3,6]=>{{1,2,4,5},{3,6,7}}=>4
[2,4,7,5,1,6,3]=>{{1,2,4,5},{3,7},{6}}=>4
[2,4,7,5,3,1,6]=>{{1,2,3,4,5,6,7}}=>7
[2,4,7,5,3,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[2,4,7,5,6,1,3]=>{{1,2,4,5,6},{3,7}}=>5
[2,4,7,5,6,3,1]=>{{1,2,3,4,5,6,7}}=>7
[2,4,7,6,1,3,5]=>{{1,2,3,4,5,6,7}}=>7
[2,4,7,6,1,5,3]=>{{1,2,4,5,6},{3,7}}=>5
[2,4,7,6,3,1,5]=>{{1,2,4,6},{3,5,7}}=>4
[2,4,7,6,3,5,1]=>{{1,2,3,4,5,6,7}}=>7
[2,4,7,6,5,1,3]=>{{1,2,4,6},{3,7},{5}}=>4
[2,4,7,6,5,3,1]=>{{1,2,3,4,6,7},{5}}=>6
[2,5,1,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[2,5,1,3,4,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[2,5,1,3,6,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,5,1,3,6,7,4]=>{{1,2,3,4,5,6,7}}=>7
[2,5,1,3,7,4,6]=>{{1,2,3,4,5,6,7}}=>7
[2,5,1,3,7,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[2,5,1,4,3,6,7]=>{{1,2,3,5},{4},{6},{7}}=>4
[2,5,1,4,3,7,6]=>{{1,2,3,5},{4},{6,7}}=>4
[2,5,1,4,6,3,7]=>{{1,2,3,5,6},{4},{7}}=>5
[2,5,1,4,6,7,3]=>{{1,2,3,5,6,7},{4}}=>6
[2,5,1,4,7,3,6]=>{{1,2,3,5,6,7},{4}}=>6
[2,5,1,4,7,6,3]=>{{1,2,3,5,7},{4},{6}}=>5
[2,5,1,6,3,4,7]=>{{1,2,3,5},{4,6},{7}}=>4
[2,5,1,6,3,7,4]=>{{1,2,3,5},{4,6,7}}=>4
[2,5,1,6,4,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,5,1,6,4,7,3]=>{{1,2,3,4,5,6,7}}=>7
[2,5,1,6,7,3,4]=>{{1,2,3,4,5,6,7}}=>7
[2,5,1,6,7,4,3]=>{{1,2,3,5,7},{4,6}}=>5
[2,5,1,7,3,4,6]=>{{1,2,3,5},{4,6,7}}=>4
[2,5,1,7,3,6,4]=>{{1,2,3,5},{4,7},{6}}=>4
[2,5,1,7,4,3,6]=>{{1,2,3,4,5,6,7}}=>7
[2,5,1,7,4,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[2,5,1,7,6,3,4]=>{{1,2,3,5,6},{4,7}}=>5
[2,5,1,7,6,4,3]=>{{1,2,3,4,5,6,7}}=>7
[2,5,3,1,4,6,7]=>{{1,2,4,5},{3},{6},{7}}=>4
[2,5,3,1,4,7,6]=>{{1,2,4,5},{3},{6,7}}=>4
[2,5,3,1,6,4,7]=>{{1,2,4,5,6},{3},{7}}=>5
[2,5,3,1,6,7,4]=>{{1,2,4,5,6,7},{3}}=>6
[2,5,3,1,7,4,6]=>{{1,2,4,5,6,7},{3}}=>6
[2,5,3,1,7,6,4]=>{{1,2,4,5,7},{3},{6}}=>5
[2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>3
[2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}}=>3
[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}}=>5
[2,5,3,4,7,1,6]=>{{1,2,5,6,7},{3},{4}}=>5
[2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}}=>4
[2,5,3,6,1,4,7]=>{{1,2,5},{3},{4,6},{7}}=>3
[2,5,3,6,1,7,4]=>{{1,2,5},{3},{4,6,7}}=>3
[2,5,3,6,4,1,7]=>{{1,2,4,5,6},{3},{7}}=>5
[2,5,3,6,4,7,1]=>{{1,2,4,5,6,7},{3}}=>6
[2,5,3,6,7,1,4]=>{{1,2,4,5,6,7},{3}}=>6
[2,5,3,6,7,4,1]=>{{1,2,5,7},{3},{4,6}}=>4
[2,5,3,7,1,4,6]=>{{1,2,5},{3},{4,6,7}}=>3
[2,5,3,7,1,6,4]=>{{1,2,5},{3},{4,7},{6}}=>3
[2,5,3,7,4,1,6]=>{{1,2,4,5,6,7},{3}}=>6
[2,5,3,7,4,6,1]=>{{1,2,4,5,7},{3},{6}}=>5
[2,5,3,7,6,1,4]=>{{1,2,5,6},{3},{4,7}}=>4
[2,5,3,7,6,4,1]=>{{1,2,4,5,6,7},{3}}=>6
[2,5,4,1,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[2,5,4,1,3,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[2,5,4,1,6,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,5,4,1,6,7,3]=>{{1,2,3,4,5,6,7}}=>7
[2,5,4,1,7,3,6]=>{{1,2,3,4,5,6,7}}=>7
[2,5,4,1,7,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}}=>3
[2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}}=>3
[2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}}=>4
[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}}=>5
[2,5,4,3,7,1,6]=>{{1,2,5,6,7},{3,4}}=>5
[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}}=>4
[2,5,4,6,1,3,7]=>{{1,2,5},{3,4,6},{7}}=>3
[2,5,4,6,1,7,3]=>{{1,2,5},{3,4,6,7}}=>4
[2,5,4,6,3,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,5,4,6,3,7,1]=>{{1,2,3,4,5,6,7}}=>7
[2,5,4,6,7,1,3]=>{{1,2,3,4,5,6,7}}=>7
[2,5,4,6,7,3,1]=>{{1,2,5,7},{3,4,6}}=>4
[2,5,4,7,1,3,6]=>{{1,2,5},{3,4,6,7}}=>4
[2,5,4,7,1,6,3]=>{{1,2,5},{3,4,7},{6}}=>3
[2,5,4,7,3,1,6]=>{{1,2,3,4,5,6,7}}=>7
[2,5,4,7,3,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[2,5,4,7,6,1,3]=>{{1,2,5,6},{3,4,7}}=>4
[2,5,4,7,6,3,1]=>{{1,2,3,4,5,6,7}}=>7
[2,5,6,1,3,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,5,6,1,3,7,4]=>{{1,2,3,4,5,6,7}}=>7
[2,5,6,1,4,3,7]=>{{1,2,4,5},{3,6},{7}}=>4
[2,5,6,1,4,7,3]=>{{1,2,4,5},{3,6,7}}=>4
[2,5,6,1,7,3,4]=>{{1,2,4,5,7},{3,6}}=>5
[2,5,6,1,7,4,3]=>{{1,2,3,4,5,6,7}}=>7
[2,5,6,3,1,4,7]=>{{1,2,5},{3,4,6},{7}}=>3
[2,5,6,3,1,7,4]=>{{1,2,5},{3,4,6,7}}=>4
[2,5,6,3,4,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,5,6,3,4,7,1]=>{{1,2,3,4,5,6,7}}=>7
[2,5,6,3,7,1,4]=>{{1,2,3,4,5,6,7}}=>7
[2,5,6,3,7,4,1]=>{{1,2,5,7},{3,4,6}}=>4
[2,5,6,4,1,3,7]=>{{1,2,5},{3,6},{4},{7}}=>3
[2,5,6,4,1,7,3]=>{{1,2,5},{3,6,7},{4}}=>3
[2,5,6,4,3,1,7]=>{{1,2,3,5,6},{4},{7}}=>5
[2,5,6,4,3,7,1]=>{{1,2,3,5,6,7},{4}}=>6
[2,5,6,4,7,1,3]=>{{1,2,3,5,6,7},{4}}=>6
[2,5,6,4,7,3,1]=>{{1,2,5,7},{3,6},{4}}=>4
[2,5,6,7,1,3,4]=>{{1,2,5},{3,6},{4,7}}=>3
[2,5,6,7,1,4,3]=>{{1,2,5},{3,4,6,7}}=>4
[2,5,6,7,3,1,4]=>{{1,2,3,5,6},{4,7}}=>5
[2,5,6,7,3,4,1]=>{{1,2,3,4,5,6,7}}=>7
[2,5,6,7,4,1,3]=>{{1,2,3,4,5,6,7}}=>7
[2,5,6,7,4,3,1]=>{{1,2,4,5,7},{3,6}}=>5
[2,5,7,1,3,4,6]=>{{1,2,3,4,5,6,7}}=>7
[2,5,7,1,3,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[2,5,7,1,4,3,6]=>{{1,2,4,5},{3,6,7}}=>4
[2,5,7,1,4,6,3]=>{{1,2,4,5},{3,7},{6}}=>4
[2,5,7,1,6,3,4]=>{{1,2,3,4,5,6,7}}=>7
[2,5,7,1,6,4,3]=>{{1,2,4,5,6},{3,7}}=>5
[2,5,7,3,1,4,6]=>{{1,2,5},{3,4,6,7}}=>4
[2,5,7,3,1,6,4]=>{{1,2,5},{3,4,7},{6}}=>3
[2,5,7,3,4,1,6]=>{{1,2,3,4,5,6,7}}=>7
[2,5,7,3,4,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[2,5,7,3,6,1,4]=>{{1,2,5,6},{3,4,7}}=>4
[2,5,7,3,6,4,1]=>{{1,2,3,4,5,6,7}}=>7
[2,5,7,4,1,3,6]=>{{1,2,5},{3,6,7},{4}}=>3
[2,5,7,4,1,6,3]=>{{1,2,5},{3,7},{4},{6}}=>3
[2,5,7,4,3,1,6]=>{{1,2,3,5,6,7},{4}}=>6
[2,5,7,4,3,6,1]=>{{1,2,3,5,7},{4},{6}}=>5
[2,5,7,4,6,1,3]=>{{1,2,5,6},{3,7},{4}}=>4
[2,5,7,4,6,3,1]=>{{1,2,3,5,6,7},{4}}=>6
[2,5,7,6,1,3,4]=>{{1,2,5},{3,4,6,7}}=>4
[2,5,7,6,1,4,3]=>{{1,2,5},{3,7},{4,6}}=>3
[2,5,7,6,3,1,4]=>{{1,2,3,4,5,6,7}}=>7
[2,5,7,6,3,4,1]=>{{1,2,3,5,7},{4,6}}=>5
[2,5,7,6,4,1,3]=>{{1,2,4,5,6},{3,7}}=>5
[2,5,7,6,4,3,1]=>{{1,2,3,4,5,6,7}}=>7
[2,6,1,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,6,1,3,4,7,5]=>{{1,2,3,4,5,6,7}}=>7
[2,6,1,3,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>5
[2,6,1,3,5,7,4]=>{{1,2,3,4,6,7},{5}}=>6
[2,6,1,3,7,4,5]=>{{1,2,3,4,6},{5,7}}=>5
[2,6,1,3,7,5,4]=>{{1,2,3,4,5,6,7}}=>7
[2,6,1,4,3,5,7]=>{{1,2,3,5,6},{4},{7}}=>5
[2,6,1,4,3,7,5]=>{{1,2,3,5,6,7},{4}}=>6
[2,6,1,4,5,3,7]=>{{1,2,3,6},{4},{5},{7}}=>4
[2,6,1,4,5,7,3]=>{{1,2,3,6,7},{4},{5}}=>5
[2,6,1,4,7,3,5]=>{{1,2,3,6},{4},{5,7}}=>4
[2,6,1,4,7,5,3]=>{{1,2,3,5,6,7},{4}}=>6
[2,6,1,5,3,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,6,1,5,3,7,4]=>{{1,2,3,4,5,6,7}}=>7
[2,6,1,5,4,3,7]=>{{1,2,3,6},{4,5},{7}}=>4
[2,6,1,5,4,7,3]=>{{1,2,3,6,7},{4,5}}=>5
[2,6,1,5,7,3,4]=>{{1,2,3,6},{4,5,7}}=>4
[2,6,1,5,7,4,3]=>{{1,2,3,4,5,6,7}}=>7
[2,6,1,7,3,4,5]=>{{1,2,3,4,5,6,7}}=>7
[2,6,1,7,3,5,4]=>{{1,2,3,5,6},{4,7}}=>5
[2,6,1,7,4,3,5]=>{{1,2,3,6},{4,5,7}}=>4
[2,6,1,7,4,5,3]=>{{1,2,3,4,5,6,7}}=>7
[2,6,1,7,5,3,4]=>{{1,2,3,6},{4,7},{5}}=>4
[2,6,1,7,5,4,3]=>{{1,2,3,4,6,7},{5}}=>6
[2,6,3,1,4,5,7]=>{{1,2,4,5,6},{3},{7}}=>5
[2,6,3,1,4,7,5]=>{{1,2,4,5,6,7},{3}}=>6
[2,6,3,1,5,4,7]=>{{1,2,4,6},{3},{5},{7}}=>4
[2,6,3,1,5,7,4]=>{{1,2,4,6,7},{3},{5}}=>5
[2,6,3,1,7,4,5]=>{{1,2,4,6},{3},{5,7}}=>4
[2,6,3,1,7,5,4]=>{{1,2,4,5,6,7},{3}}=>6
[2,6,3,4,1,5,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[2,6,3,4,1,7,5]=>{{1,2,5,6,7},{3},{4}}=>5
[2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}}=>3
[2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}}=>4
[2,6,3,4,7,1,5]=>{{1,2,6},{3},{4},{5,7}}=>3
[2,6,3,4,7,5,1]=>{{1,2,5,6,7},{3},{4}}=>5
[2,6,3,5,1,4,7]=>{{1,2,4,5,6},{3},{7}}=>5
[2,6,3,5,1,7,4]=>{{1,2,4,5,6,7},{3}}=>6
[2,6,3,5,4,1,7]=>{{1,2,6},{3},{4,5},{7}}=>3
[2,6,3,5,4,7,1]=>{{1,2,6,7},{3},{4,5}}=>4
[2,6,3,5,7,1,4]=>{{1,2,6},{3},{4,5,7}}=>3
[2,6,3,5,7,4,1]=>{{1,2,4,5,6,7},{3}}=>6
[2,6,3,7,1,4,5]=>{{1,2,4,5,6,7},{3}}=>6
[2,6,3,7,1,5,4]=>{{1,2,5,6},{3},{4,7}}=>4
[2,6,3,7,4,1,5]=>{{1,2,6},{3},{4,5,7}}=>3
[2,6,3,7,4,5,1]=>{{1,2,4,5,6,7},{3}}=>6
[2,6,3,7,5,1,4]=>{{1,2,6},{3},{4,7},{5}}=>3
[2,6,3,7,5,4,1]=>{{1,2,4,6,7},{3},{5}}=>5
[2,6,4,1,3,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,6,4,1,3,7,5]=>{{1,2,3,4,5,6,7}}=>7
[2,6,4,1,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>5
[2,6,4,1,5,7,3]=>{{1,2,3,4,6,7},{5}}=>6
[2,6,4,1,7,3,5]=>{{1,2,3,4,6},{5,7}}=>5
[2,6,4,1,7,5,3]=>{{1,2,3,4,5,6,7}}=>7
[2,6,4,3,1,5,7]=>{{1,2,5,6},{3,4},{7}}=>4
[2,6,4,3,1,7,5]=>{{1,2,5,6,7},{3,4}}=>5
[2,6,4,3,5,1,7]=>{{1,2,6},{3,4},{5},{7}}=>3
[2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}}=>4
[2,6,4,3,7,1,5]=>{{1,2,6},{3,4},{5,7}}=>3
[2,6,4,3,7,5,1]=>{{1,2,5,6,7},{3,4}}=>5
[2,6,4,5,1,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,6,4,5,1,7,3]=>{{1,2,3,4,5,6,7}}=>7
[2,6,4,5,3,1,7]=>{{1,2,6},{3,4,5},{7}}=>3
[2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}}=>4
[2,6,4,5,7,1,3]=>{{1,2,6},{3,4,5,7}}=>4
[2,6,4,5,7,3,1]=>{{1,2,3,4,5,6,7}}=>7
[2,6,4,7,1,3,5]=>{{1,2,3,4,5,6,7}}=>7
[2,6,4,7,1,5,3]=>{{1,2,5,6},{3,4,7}}=>4
[2,6,4,7,3,1,5]=>{{1,2,6},{3,4,5,7}}=>4
[2,6,4,7,3,5,1]=>{{1,2,3,4,5,6,7}}=>7
[2,6,4,7,5,1,3]=>{{1,2,6},{3,4,7},{5}}=>3
[2,6,4,7,5,3,1]=>{{1,2,3,4,6,7},{5}}=>6
[2,6,5,1,3,4,7]=>{{1,2,4,6},{3,5},{7}}=>4
[2,6,5,1,3,7,4]=>{{1,2,4,6,7},{3,5}}=>5
[2,6,5,1,4,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,6,5,1,4,7,3]=>{{1,2,3,4,5,6,7}}=>7
[2,6,5,1,7,3,4]=>{{1,2,3,4,5,6,7}}=>7
[2,6,5,1,7,4,3]=>{{1,2,4,6},{3,5,7}}=>4
[2,6,5,3,1,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[2,6,5,3,1,7,4]=>{{1,2,3,4,5,6,7}}=>7
[2,6,5,3,4,1,7]=>{{1,2,6},{3,4,5},{7}}=>3
[2,6,5,3,4,7,1]=>{{1,2,6,7},{3,4,5}}=>4
[2,6,5,3,7,1,4]=>{{1,2,6},{3,4,5,7}}=>4
[2,6,5,3,7,4,1]=>{{1,2,3,4,5,6,7}}=>7
[2,6,5,4,1,3,7]=>{{1,2,3,5,6},{4},{7}}=>5
[2,6,5,4,1,7,3]=>{{1,2,3,5,6,7},{4}}=>6
[2,6,5,4,3,1,7]=>{{1,2,6},{3,5},{4},{7}}=>3
[2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}}=>4
[2,6,5,4,7,1,3]=>{{1,2,6},{3,5,7},{4}}=>3
[2,6,5,4,7,3,1]=>{{1,2,3,5,6,7},{4}}=>6
[2,6,5,7,1,3,4]=>{{1,2,3,5,6},{4,7}}=>5
[2,6,5,7,1,4,3]=>{{1,2,3,4,5,6,7}}=>7
[2,6,5,7,3,1,4]=>{{1,2,6},{3,5},{4,7}}=>3
[2,6,5,7,3,4,1]=>{{1,2,4,6,7},{3,5}}=>5
[2,6,5,7,4,1,3]=>{{1,2,6},{3,4,5,7}}=>4
[2,6,5,7,4,3,1]=>{{1,2,3,4,5,6,7}}=>7
[2,6,7,1,3,4,5]=>{{1,2,4,6},{3,5,7}}=>4
[2,6,7,1,3,5,4]=>{{1,2,3,4,5,6,7}}=>7
[2,6,7,1,4,3,5]=>{{1,2,3,4,5,6,7}}=>7
[2,6,7,1,4,5,3]=>{{1,2,4,5,6},{3,7}}=>5
[2,6,7,1,5,3,4]=>{{1,2,3,4,6,7},{5}}=>6
[2,6,7,1,5,4,3]=>{{1,2,4,6},{3,7},{5}}=>4
[2,6,7,3,1,4,5]=>{{1,2,3,4,5,6,7}}=>7
[2,6,7,3,1,5,4]=>{{1,2,5,6},{3,4,7}}=>4
[2,6,7,3,4,1,5]=>{{1,2,6},{3,4,5,7}}=>4
[2,6,7,3,4,5,1]=>{{1,2,3,4,5,6,7}}=>7
[2,6,7,3,5,1,4]=>{{1,2,6},{3,4,7},{5}}=>3
[2,6,7,3,5,4,1]=>{{1,2,3,4,6,7},{5}}=>6
[2,6,7,4,1,3,5]=>{{1,2,3,5,6,7},{4}}=>6
[2,6,7,4,1,5,3]=>{{1,2,5,6},{3,7},{4}}=>4
[2,6,7,4,3,1,5]=>{{1,2,6},{3,5,7},{4}}=>3
[2,6,7,4,3,5,1]=>{{1,2,3,5,6,7},{4}}=>6
[2,6,7,4,5,1,3]=>{{1,2,6},{3,7},{4},{5}}=>3
[2,6,7,4,5,3,1]=>{{1,2,3,6,7},{4},{5}}=>5
[2,6,7,5,1,3,4]=>{{1,2,3,4,5,6,7}}=>7
[2,6,7,5,1,4,3]=>{{1,2,4,5,6},{3,7}}=>5
[2,6,7,5,3,1,4]=>{{1,2,6},{3,4,5,7}}=>4
[2,6,7,5,3,4,1]=>{{1,2,3,4,5,6,7}}=>7
[2,6,7,5,4,1,3]=>{{1,2,6},{3,7},{4,5}}=>3
[2,6,7,5,4,3,1]=>{{1,2,3,6,7},{4,5}}=>5
[2,7,1,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>7
[2,7,1,3,4,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[2,7,1,3,5,4,6]=>{{1,2,3,4,6,7},{5}}=>6
[2,7,1,3,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>5
[2,7,1,3,6,4,5]=>{{1,2,3,4,5,6,7}}=>7
[2,7,1,3,6,5,4]=>{{1,2,3,4,7},{5,6}}=>5
[2,7,1,4,3,5,6]=>{{1,2,3,5,6,7},{4}}=>6
[2,7,1,4,3,6,5]=>{{1,2,3,5,7},{4},{6}}=>5
[2,7,1,4,5,3,6]=>{{1,2,3,6,7},{4},{5}}=>5
[2,7,1,4,5,6,3]=>{{1,2,3,7},{4},{5},{6}}=>4
[2,7,1,4,6,3,5]=>{{1,2,3,5,6,7},{4}}=>6
[2,7,1,4,6,5,3]=>{{1,2,3,7},{4},{5,6}}=>4
[2,7,1,5,3,4,6]=>{{1,2,3,4,5,6,7}}=>7
[2,7,1,5,3,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[2,7,1,5,4,3,6]=>{{1,2,3,6,7},{4,5}}=>5
[2,7,1,5,4,6,3]=>{{1,2,3,7},{4,5},{6}}=>4
[2,7,1,5,6,3,4]=>{{1,2,3,4,5,6,7}}=>7
[2,7,1,5,6,4,3]=>{{1,2,3,7},{4,5,6}}=>4
[2,7,1,6,3,4,5]=>{{1,2,3,5,7},{4,6}}=>5
[2,7,1,6,3,5,4]=>{{1,2,3,4,5,6,7}}=>7
[2,7,1,6,4,3,5]=>{{1,2,3,4,5,6,7}}=>7
[2,7,1,6,4,5,3]=>{{1,2,3,7},{4,5,6}}=>4
[2,7,1,6,5,3,4]=>{{1,2,3,4,6,7},{5}}=>6
[2,7,1,6,5,4,3]=>{{1,2,3,7},{4,6},{5}}=>4
[2,7,3,1,4,5,6]=>{{1,2,4,5,6,7},{3}}=>6
[2,7,3,1,4,6,5]=>{{1,2,4,5,7},{3},{6}}=>5
[2,7,3,1,5,4,6]=>{{1,2,4,6,7},{3},{5}}=>5
[2,7,3,1,5,6,4]=>{{1,2,4,7},{3},{5},{6}}=>4
[2,7,3,1,6,4,5]=>{{1,2,4,5,6,7},{3}}=>6
[2,7,3,1,6,5,4]=>{{1,2,4,7},{3},{5,6}}=>4
[2,7,3,4,1,5,6]=>{{1,2,5,6,7},{3},{4}}=>5
[2,7,3,4,1,6,5]=>{{1,2,5,7},{3},{4},{6}}=>4
[2,7,3,4,5,1,6]=>{{1,2,6,7},{3},{4},{5}}=>4
[2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}}=>3
[2,7,3,4,6,1,5]=>{{1,2,5,6,7},{3},{4}}=>5
[2,7,3,4,6,5,1]=>{{1,2,7},{3},{4},{5,6}}=>3
[2,7,3,5,1,4,6]=>{{1,2,4,5,6,7},{3}}=>6
[2,7,3,5,1,6,4]=>{{1,2,4,5,7},{3},{6}}=>5
[2,7,3,5,4,1,6]=>{{1,2,6,7},{3},{4,5}}=>4
[2,7,3,5,4,6,1]=>{{1,2,7},{3},{4,5},{6}}=>3
[2,7,3,5,6,1,4]=>{{1,2,4,5,6,7},{3}}=>6
[2,7,3,5,6,4,1]=>{{1,2,7},{3},{4,5,6}}=>3
[2,7,3,6,1,4,5]=>{{1,2,5,7},{3},{4,6}}=>4
[2,7,3,6,1,5,4]=>{{1,2,4,5,6,7},{3}}=>6
[2,7,3,6,4,1,5]=>{{1,2,4,5,6,7},{3}}=>6
[2,7,3,6,4,5,1]=>{{1,2,7},{3},{4,5,6}}=>3
[2,7,3,6,5,1,4]=>{{1,2,4,6,7},{3},{5}}=>5
[2,7,3,6,5,4,1]=>{{1,2,7},{3},{4,6},{5}}=>3
[2,7,4,1,3,5,6]=>{{1,2,3,4,5,6,7}}=>7
[2,7,4,1,3,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[2,7,4,1,5,3,6]=>{{1,2,3,4,6,7},{5}}=>6
[2,7,4,1,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>5
[2,7,4,1,6,3,5]=>{{1,2,3,4,5,6,7}}=>7
[2,7,4,1,6,5,3]=>{{1,2,3,4,7},{5,6}}=>5
[2,7,4,3,1,5,6]=>{{1,2,5,6,7},{3,4}}=>5
[2,7,4,3,1,6,5]=>{{1,2,5,7},{3,4},{6}}=>4
[2,7,4,3,5,1,6]=>{{1,2,6,7},{3,4},{5}}=>4
[2,7,4,3,5,6,1]=>{{1,2,7},{3,4},{5},{6}}=>3
[2,7,4,3,6,1,5]=>{{1,2,5,6,7},{3,4}}=>5
[2,7,4,3,6,5,1]=>{{1,2,7},{3,4},{5,6}}=>3
[2,7,4,5,1,3,6]=>{{1,2,3,4,5,6,7}}=>7
[2,7,4,5,1,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[2,7,4,5,3,1,6]=>{{1,2,6,7},{3,4,5}}=>4
[2,7,4,5,3,6,1]=>{{1,2,7},{3,4,5},{6}}=>3
[2,7,4,5,6,1,3]=>{{1,2,3,4,5,6,7}}=>7
[2,7,4,5,6,3,1]=>{{1,2,7},{3,4,5,6}}=>4
[2,7,4,6,1,3,5]=>{{1,2,5,7},{3,4,6}}=>4
[2,7,4,6,1,5,3]=>{{1,2,3,4,5,6,7}}=>7
[2,7,4,6,3,1,5]=>{{1,2,3,4,5,6,7}}=>7
[2,7,4,6,3,5,1]=>{{1,2,7},{3,4,5,6}}=>4
[2,7,4,6,5,1,3]=>{{1,2,3,4,6,7},{5}}=>6
[2,7,4,6,5,3,1]=>{{1,2,7},{3,4,6},{5}}=>3
[2,7,5,1,3,4,6]=>{{1,2,4,6,7},{3,5}}=>5
[2,7,5,1,3,6,4]=>{{1,2,4,7},{3,5},{6}}=>4
[2,7,5,1,4,3,6]=>{{1,2,3,4,5,6,7}}=>7
[2,7,5,1,4,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[2,7,5,1,6,3,4]=>{{1,2,4,7},{3,5,6}}=>4
[2,7,5,1,6,4,3]=>{{1,2,3,4,5,6,7}}=>7
[2,7,5,3,1,4,6]=>{{1,2,3,4,5,6,7}}=>7
[2,7,5,3,1,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[2,7,5,3,4,1,6]=>{{1,2,6,7},{3,4,5}}=>4
[2,7,5,3,4,6,1]=>{{1,2,7},{3,4,5},{6}}=>3
[2,7,5,3,6,1,4]=>{{1,2,3,4,5,6,7}}=>7
[2,7,5,3,6,4,1]=>{{1,2,7},{3,4,5,6}}=>4
[2,7,5,4,1,3,6]=>{{1,2,3,5,6,7},{4}}=>6
[2,7,5,4,1,6,3]=>{{1,2,3,5,7},{4},{6}}=>5
[2,7,5,4,3,1,6]=>{{1,2,6,7},{3,5},{4}}=>4
[2,7,5,4,3,6,1]=>{{1,2,7},{3,5},{4},{6}}=>3
[2,7,5,4,6,1,3]=>{{1,2,3,5,6,7},{4}}=>6
[2,7,5,4,6,3,1]=>{{1,2,7},{3,5,6},{4}}=>3
[2,7,5,6,1,3,4]=>{{1,2,3,4,5,6,7}}=>7
[2,7,5,6,1,4,3]=>{{1,2,3,5,7},{4,6}}=>5
[2,7,5,6,3,1,4]=>{{1,2,4,6,7},{3,5}}=>5
[2,7,5,6,3,4,1]=>{{1,2,7},{3,5},{4,6}}=>3
[2,7,5,6,4,1,3]=>{{1,2,3,4,5,6,7}}=>7
[2,7,5,6,4,3,1]=>{{1,2,7},{3,4,5,6}}=>4
[2,7,6,1,3,4,5]=>{{1,2,3,4,5,6,7}}=>7
[2,7,6,1,3,5,4]=>{{1,2,4,7},{3,5,6}}=>4
[2,7,6,1,4,3,5]=>{{1,2,4,5,7},{3,6}}=>5
[2,7,6,1,4,5,3]=>{{1,2,3,4,5,6,7}}=>7
[2,7,6,1,5,3,4]=>{{1,2,4,7},{3,6},{5}}=>4
[2,7,6,1,5,4,3]=>{{1,2,3,4,6,7},{5}}=>6
[2,7,6,3,1,4,5]=>{{1,2,5,7},{3,4,6}}=>4
[2,7,6,3,1,5,4]=>{{1,2,3,4,5,6,7}}=>7
[2,7,6,3,4,1,5]=>{{1,2,3,4,5,6,7}}=>7
[2,7,6,3,4,5,1]=>{{1,2,7},{3,4,5,6}}=>4
[2,7,6,3,5,1,4]=>{{1,2,3,4,6,7},{5}}=>6
[2,7,6,3,5,4,1]=>{{1,2,7},{3,4,6},{5}}=>3
[2,7,6,4,1,3,5]=>{{1,2,5,7},{3,6},{4}}=>4
[2,7,6,4,1,5,3]=>{{1,2,3,5,6,7},{4}}=>6
[2,7,6,4,3,1,5]=>{{1,2,3,5,6,7},{4}}=>6
[2,7,6,4,3,5,1]=>{{1,2,7},{3,5,6},{4}}=>3
[2,7,6,4,5,1,3]=>{{1,2,3,6,7},{4},{5}}=>5
[2,7,6,4,5,3,1]=>{{1,2,7},{3,6},{4},{5}}=>3
[2,7,6,5,1,3,4]=>{{1,2,4,5,7},{3,6}}=>5
[2,7,6,5,1,4,3]=>{{1,2,3,4,5,6,7}}=>7
[2,7,6,5,3,1,4]=>{{1,2,3,4,5,6,7}}=>7
[2,7,6,5,3,4,1]=>{{1,2,7},{3,4,5,6}}=>4
[2,7,6,5,4,1,3]=>{{1,2,3,6,7},{4,5}}=>5
[2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}}=>3
[3,1,2,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>3
[3,1,2,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}}=>3
[3,1,2,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}=>3
[3,1,2,4,6,7,5]=>{{1,2,3},{4},{5,6,7}}=>3
[3,1,2,4,7,5,6]=>{{1,2,3},{4},{5,6,7}}=>3
[3,1,2,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}}=>3
[3,1,2,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}=>3
[3,1,2,5,4,7,6]=>{{1,2,3},{4,5},{6,7}}=>3
[3,1,2,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}=>3
[3,1,2,5,6,7,4]=>{{1,2,3},{4,5,6,7}}=>4
[3,1,2,5,7,4,6]=>{{1,2,3},{4,5,6,7}}=>4
[3,1,2,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}=>3
[3,1,2,6,4,5,7]=>{{1,2,3},{4,5,6},{7}}=>3
[3,1,2,6,4,7,5]=>{{1,2,3},{4,5,6,7}}=>4
[3,1,2,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}=>3
[3,1,2,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}=>3
[3,1,2,6,7,4,5]=>{{1,2,3},{4,6},{5,7}}=>3
[3,1,2,6,7,5,4]=>{{1,2,3},{4,5,6,7}}=>4
[3,1,2,7,4,5,6]=>{{1,2,3},{4,5,6,7}}=>4
[3,1,2,7,4,6,5]=>{{1,2,3},{4,5,7},{6}}=>3
[3,1,2,7,5,4,6]=>{{1,2,3},{4,6,7},{5}}=>3
[3,1,2,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}}=>3
[3,1,2,7,6,4,5]=>{{1,2,3},{4,5,6,7}}=>4
[3,1,2,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}=>3
[3,1,4,2,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>4
[3,1,4,2,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>4
[3,1,4,2,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>4
[3,1,4,2,6,7,5]=>{{1,2,3,4},{5,6,7}}=>4
[3,1,4,2,7,5,6]=>{{1,2,3,4},{5,6,7}}=>4
[3,1,4,2,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>4
[3,1,4,5,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[3,1,4,5,2,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[3,1,4,5,6,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,1,4,5,6,7,2]=>{{1,2,3,4,5,6,7}}=>7
[3,1,4,5,7,2,6]=>{{1,2,3,4,5,6,7}}=>7
[3,1,4,5,7,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[3,1,4,6,2,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,1,4,6,2,7,5]=>{{1,2,3,4,5,6,7}}=>7
[3,1,4,6,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>5
[3,1,4,6,5,7,2]=>{{1,2,3,4,6,7},{5}}=>6
[3,1,4,6,7,2,5]=>{{1,2,3,4,6},{5,7}}=>5
[3,1,4,6,7,5,2]=>{{1,2,3,4,5,6,7}}=>7
[3,1,4,7,2,5,6]=>{{1,2,3,4,5,6,7}}=>7
[3,1,4,7,2,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[3,1,4,7,5,2,6]=>{{1,2,3,4,6,7},{5}}=>6
[3,1,4,7,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>5
[3,1,4,7,6,2,5]=>{{1,2,3,4,5,6,7}}=>7
[3,1,4,7,6,5,2]=>{{1,2,3,4,7},{5,6}}=>5
[3,1,5,2,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[3,1,5,2,4,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[3,1,5,2,6,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,1,5,2,6,7,4]=>{{1,2,3,4,5,6,7}}=>7
[3,1,5,2,7,4,6]=>{{1,2,3,4,5,6,7}}=>7
[3,1,5,2,7,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[3,1,5,4,2,6,7]=>{{1,2,3,5},{4},{6},{7}}=>4
[3,1,5,4,2,7,6]=>{{1,2,3,5},{4},{6,7}}=>4
[3,1,5,4,6,2,7]=>{{1,2,3,5,6},{4},{7}}=>5
[3,1,5,4,6,7,2]=>{{1,2,3,5,6,7},{4}}=>6
[3,1,5,4,7,2,6]=>{{1,2,3,5,6,7},{4}}=>6
[3,1,5,4,7,6,2]=>{{1,2,3,5,7},{4},{6}}=>5
[3,1,5,6,2,4,7]=>{{1,2,3,5},{4,6},{7}}=>4
[3,1,5,6,2,7,4]=>{{1,2,3,5},{4,6,7}}=>4
[3,1,5,6,4,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,1,5,6,4,7,2]=>{{1,2,3,4,5,6,7}}=>7
[3,1,5,6,7,2,4]=>{{1,2,3,4,5,6,7}}=>7
[3,1,5,6,7,4,2]=>{{1,2,3,5,7},{4,6}}=>5
[3,1,5,7,2,4,6]=>{{1,2,3,5},{4,6,7}}=>4
[3,1,5,7,2,6,4]=>{{1,2,3,5},{4,7},{6}}=>4
[3,1,5,7,4,2,6]=>{{1,2,3,4,5,6,7}}=>7
[3,1,5,7,4,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[3,1,5,7,6,2,4]=>{{1,2,3,5,6},{4,7}}=>5
[3,1,5,7,6,4,2]=>{{1,2,3,4,5,6,7}}=>7
[3,1,6,2,4,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,1,6,2,4,7,5]=>{{1,2,3,4,5,6,7}}=>7
[3,1,6,2,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>5
[3,1,6,2,5,7,4]=>{{1,2,3,4,6,7},{5}}=>6
[3,1,6,2,7,4,5]=>{{1,2,3,4,6},{5,7}}=>5
[3,1,6,2,7,5,4]=>{{1,2,3,4,5,6,7}}=>7
[3,1,6,4,2,5,7]=>{{1,2,3,5,6},{4},{7}}=>5
[3,1,6,4,2,7,5]=>{{1,2,3,5,6,7},{4}}=>6
[3,1,6,4,5,2,7]=>{{1,2,3,6},{4},{5},{7}}=>4
[3,1,6,4,5,7,2]=>{{1,2,3,6,7},{4},{5}}=>5
[3,1,6,4,7,2,5]=>{{1,2,3,6},{4},{5,7}}=>4
[3,1,6,4,7,5,2]=>{{1,2,3,5,6,7},{4}}=>6
[3,1,6,5,2,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,1,6,5,2,7,4]=>{{1,2,3,4,5,6,7}}=>7
[3,1,6,5,4,2,7]=>{{1,2,3,6},{4,5},{7}}=>4
[3,1,6,5,4,7,2]=>{{1,2,3,6,7},{4,5}}=>5
[3,1,6,5,7,2,4]=>{{1,2,3,6},{4,5,7}}=>4
[3,1,6,5,7,4,2]=>{{1,2,3,4,5,6,7}}=>7
[3,1,6,7,2,4,5]=>{{1,2,3,4,5,6,7}}=>7
[3,1,6,7,2,5,4]=>{{1,2,3,5,6},{4,7}}=>5
[3,1,6,7,4,2,5]=>{{1,2,3,6},{4,5,7}}=>4
[3,1,6,7,4,5,2]=>{{1,2,3,4,5,6,7}}=>7
[3,1,6,7,5,2,4]=>{{1,2,3,6},{4,7},{5}}=>4
[3,1,6,7,5,4,2]=>{{1,2,3,4,6,7},{5}}=>6
[3,1,7,2,4,5,6]=>{{1,2,3,4,5,6,7}}=>7
[3,1,7,2,4,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[3,1,7,2,5,4,6]=>{{1,2,3,4,6,7},{5}}=>6
[3,1,7,2,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>5
[3,1,7,2,6,4,5]=>{{1,2,3,4,5,6,7}}=>7
[3,1,7,2,6,5,4]=>{{1,2,3,4,7},{5,6}}=>5
[3,1,7,4,2,5,6]=>{{1,2,3,5,6,7},{4}}=>6
[3,1,7,4,2,6,5]=>{{1,2,3,5,7},{4},{6}}=>5
[3,1,7,4,5,2,6]=>{{1,2,3,6,7},{4},{5}}=>5
[3,1,7,4,5,6,2]=>{{1,2,3,7},{4},{5},{6}}=>4
[3,1,7,4,6,2,5]=>{{1,2,3,5,6,7},{4}}=>6
[3,1,7,4,6,5,2]=>{{1,2,3,7},{4},{5,6}}=>4
[3,1,7,5,2,4,6]=>{{1,2,3,4,5,6,7}}=>7
[3,1,7,5,2,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[3,1,7,5,4,2,6]=>{{1,2,3,6,7},{4,5}}=>5
[3,1,7,5,4,6,2]=>{{1,2,3,7},{4,5},{6}}=>4
[3,1,7,5,6,2,4]=>{{1,2,3,4,5,6,7}}=>7
[3,1,7,5,6,4,2]=>{{1,2,3,7},{4,5,6}}=>4
[3,1,7,6,2,4,5]=>{{1,2,3,5,7},{4,6}}=>5
[3,1,7,6,2,5,4]=>{{1,2,3,4,5,6,7}}=>7
[3,1,7,6,4,2,5]=>{{1,2,3,4,5,6,7}}=>7
[3,1,7,6,4,5,2]=>{{1,2,3,7},{4,5,6}}=>4
[3,1,7,6,5,2,4]=>{{1,2,3,4,6,7},{5}}=>6
[3,1,7,6,5,4,2]=>{{1,2,3,7},{4,6},{5}}=>4
[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>2
[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>2
[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>2
[3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>3
[3,2,1,4,7,5,6]=>{{1,3},{2},{4},{5,6,7}}=>3
[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>2
[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>2
[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>2
[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>3
[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>4
[3,2,1,5,7,4,6]=>{{1,3},{2},{4,5,6,7}}=>4
[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>3
[3,2,1,6,4,5,7]=>{{1,3},{2},{4,5,6},{7}}=>3
[3,2,1,6,4,7,5]=>{{1,3},{2},{4,5,6,7}}=>4
[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>2
[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>3
[3,2,1,6,7,4,5]=>{{1,3},{2},{4,6},{5,7}}=>2
[3,2,1,6,7,5,4]=>{{1,3},{2},{4,5,6,7}}=>4
[3,2,1,7,4,5,6]=>{{1,3},{2},{4,5,6,7}}=>4
[3,2,1,7,4,6,5]=>{{1,3},{2},{4,5,7},{6}}=>3
[3,2,1,7,5,4,6]=>{{1,3},{2},{4,6,7},{5}}=>3
[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>2
[3,2,1,7,6,4,5]=>{{1,3},{2},{4,5,6,7}}=>4
[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>2
[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>3
[3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>3
[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>3
[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>3
[3,2,4,1,7,5,6]=>{{1,3,4},{2},{5,6,7}}=>3
[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>3
[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}}=>4
[3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}}=>4
[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}}=>5
[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,4,5,7,1,6]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[3,2,4,6,1,5,7]=>{{1,3,4,5,6},{2},{7}}=>5
[3,2,4,6,1,7,5]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}}=>5
[3,2,4,6,7,1,5]=>{{1,3,4,6},{2},{5,7}}=>4
[3,2,4,6,7,5,1]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,4,7,1,5,6]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,4,7,1,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[3,2,4,7,5,1,6]=>{{1,3,4,6,7},{2},{5}}=>5
[3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}}=>4
[3,2,4,7,6,1,5]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}}=>4
[3,2,5,1,4,6,7]=>{{1,3,4,5},{2},{6},{7}}=>4
[3,2,5,1,4,7,6]=>{{1,3,4,5},{2},{6,7}}=>4
[3,2,5,1,6,4,7]=>{{1,3,4,5,6},{2},{7}}=>5
[3,2,5,1,6,7,4]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,5,1,7,4,6]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,5,1,7,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>3
[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}}=>3
[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}}=>4
[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}}=>5
[3,2,5,4,7,1,6]=>{{1,3,5,6,7},{2},{4}}=>5
[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}}=>4
[3,2,5,6,1,4,7]=>{{1,3,5},{2},{4,6},{7}}=>3
[3,2,5,6,1,7,4]=>{{1,3,5},{2},{4,6,7}}=>3
[3,2,5,6,4,1,7]=>{{1,3,4,5,6},{2},{7}}=>5
[3,2,5,6,4,7,1]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,5,6,7,1,4]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,5,6,7,4,1]=>{{1,3,5,7},{2},{4,6}}=>4
[3,2,5,7,1,4,6]=>{{1,3,5},{2},{4,6,7}}=>3
[3,2,5,7,1,6,4]=>{{1,3,5},{2},{4,7},{6}}=>3
[3,2,5,7,4,1,6]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,5,7,4,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[3,2,5,7,6,1,4]=>{{1,3,5,6},{2},{4,7}}=>4
[3,2,5,7,6,4,1]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,6,1,4,5,7]=>{{1,3,4,5,6},{2},{7}}=>5
[3,2,6,1,4,7,5]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,6,1,5,4,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[3,2,6,1,5,7,4]=>{{1,3,4,6,7},{2},{5}}=>5
[3,2,6,1,7,4,5]=>{{1,3,4,6},{2},{5,7}}=>4
[3,2,6,1,7,5,4]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,6,4,1,5,7]=>{{1,3,5,6},{2},{4},{7}}=>4
[3,2,6,4,1,7,5]=>{{1,3,5,6,7},{2},{4}}=>5
[3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}}=>3
[3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}}=>4
[3,2,6,4,7,1,5]=>{{1,3,6},{2},{4},{5,7}}=>3
[3,2,6,4,7,5,1]=>{{1,3,5,6,7},{2},{4}}=>5
[3,2,6,5,1,4,7]=>{{1,3,4,5,6},{2},{7}}=>5
[3,2,6,5,1,7,4]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,6,5,4,1,7]=>{{1,3,6},{2},{4,5},{7}}=>3
[3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}}=>4
[3,2,6,5,7,1,4]=>{{1,3,6},{2},{4,5,7}}=>3
[3,2,6,5,7,4,1]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,6,7,1,4,5]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,6,7,1,5,4]=>{{1,3,5,6},{2},{4,7}}=>4
[3,2,6,7,4,1,5]=>{{1,3,6},{2},{4,5,7}}=>3
[3,2,6,7,4,5,1]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,6,7,5,1,4]=>{{1,3,6},{2},{4,7},{5}}=>3
[3,2,6,7,5,4,1]=>{{1,3,4,6,7},{2},{5}}=>5
[3,2,7,1,4,5,6]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,7,1,4,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[3,2,7,1,5,4,6]=>{{1,3,4,6,7},{2},{5}}=>5
[3,2,7,1,5,6,4]=>{{1,3,4,7},{2},{5},{6}}=>4
[3,2,7,1,6,4,5]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,7,1,6,5,4]=>{{1,3,4,7},{2},{5,6}}=>4
[3,2,7,4,1,5,6]=>{{1,3,5,6,7},{2},{4}}=>5
[3,2,7,4,1,6,5]=>{{1,3,5,7},{2},{4},{6}}=>4
[3,2,7,4,5,1,6]=>{{1,3,6,7},{2},{4},{5}}=>4
[3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}}=>3
[3,2,7,4,6,1,5]=>{{1,3,5,6,7},{2},{4}}=>5
[3,2,7,4,6,5,1]=>{{1,3,7},{2},{4},{5,6}}=>3
[3,2,7,5,1,4,6]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,7,5,1,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[3,2,7,5,4,1,6]=>{{1,3,6,7},{2},{4,5}}=>4
[3,2,7,5,4,6,1]=>{{1,3,7},{2},{4,5},{6}}=>3
[3,2,7,5,6,1,4]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,7,5,6,4,1]=>{{1,3,7},{2},{4,5,6}}=>3
[3,2,7,6,1,4,5]=>{{1,3,5,7},{2},{4,6}}=>4
[3,2,7,6,1,5,4]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,7,6,4,1,5]=>{{1,3,4,5,6,7},{2}}=>6
[3,2,7,6,4,5,1]=>{{1,3,7},{2},{4,5,6}}=>3
[3,2,7,6,5,1,4]=>{{1,3,4,6,7},{2},{5}}=>5
[3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}}=>3
[3,4,1,2,5,6,7]=>{{1,3},{2,4},{5},{6},{7}}=>2
[3,4,1,2,5,7,6]=>{{1,3},{2,4},{5},{6,7}}=>2
[3,4,1,2,6,5,7]=>{{1,3},{2,4},{5,6},{7}}=>2
[3,4,1,2,6,7,5]=>{{1,3},{2,4},{5,6,7}}=>3
[3,4,1,2,7,5,6]=>{{1,3},{2,4},{5,6,7}}=>3
[3,4,1,2,7,6,5]=>{{1,3},{2,4},{5,7},{6}}=>2
[3,4,1,5,2,6,7]=>{{1,3},{2,4,5},{6},{7}}=>3
[3,4,1,5,2,7,6]=>{{1,3},{2,4,5},{6,7}}=>3
[3,4,1,5,6,2,7]=>{{1,3},{2,4,5,6},{7}}=>4
[3,4,1,5,6,7,2]=>{{1,3},{2,4,5,6,7}}=>5
[3,4,1,5,7,2,6]=>{{1,3},{2,4,5,6,7}}=>5
[3,4,1,5,7,6,2]=>{{1,3},{2,4,5,7},{6}}=>4
[3,4,1,6,2,5,7]=>{{1,3},{2,4,5,6},{7}}=>4
[3,4,1,6,2,7,5]=>{{1,3},{2,4,5,6,7}}=>5
[3,4,1,6,5,2,7]=>{{1,3},{2,4,6},{5},{7}}=>3
[3,4,1,6,5,7,2]=>{{1,3},{2,4,6,7},{5}}=>4
[3,4,1,6,7,2,5]=>{{1,3},{2,4,6},{5,7}}=>3
[3,4,1,6,7,5,2]=>{{1,3},{2,4,5,6,7}}=>5
[3,4,1,7,2,5,6]=>{{1,3},{2,4,5,6,7}}=>5
[3,4,1,7,2,6,5]=>{{1,3},{2,4,5,7},{6}}=>4
[3,4,1,7,5,2,6]=>{{1,3},{2,4,6,7},{5}}=>4
[3,4,1,7,5,6,2]=>{{1,3},{2,4,7},{5},{6}}=>3
[3,4,1,7,6,2,5]=>{{1,3},{2,4,5,6,7}}=>5
[3,4,1,7,6,5,2]=>{{1,3},{2,4,7},{5,6}}=>3
[3,4,2,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>4
[3,4,2,1,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>4
[3,4,2,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>4
[3,4,2,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>4
[3,4,2,1,7,5,6]=>{{1,2,3,4},{5,6,7}}=>4
[3,4,2,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>4
[3,4,2,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[3,4,2,5,1,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[3,4,2,5,6,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,4,2,5,6,7,1]=>{{1,2,3,4,5,6,7}}=>7
[3,4,2,5,7,1,6]=>{{1,2,3,4,5,6,7}}=>7
[3,4,2,5,7,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[3,4,2,6,1,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,4,2,6,1,7,5]=>{{1,2,3,4,5,6,7}}=>7
[3,4,2,6,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>5
[3,4,2,6,5,7,1]=>{{1,2,3,4,6,7},{5}}=>6
[3,4,2,6,7,1,5]=>{{1,2,3,4,6},{5,7}}=>5
[3,4,2,6,7,5,1]=>{{1,2,3,4,5,6,7}}=>7
[3,4,2,7,1,5,6]=>{{1,2,3,4,5,6,7}}=>7
[3,4,2,7,1,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[3,4,2,7,5,1,6]=>{{1,2,3,4,6,7},{5}}=>6
[3,4,2,7,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>5
[3,4,2,7,6,1,5]=>{{1,2,3,4,5,6,7}}=>7
[3,4,2,7,6,5,1]=>{{1,2,3,4,7},{5,6}}=>5
[3,4,5,1,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[3,4,5,1,2,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[3,4,5,1,6,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,4,5,1,6,7,2]=>{{1,2,3,4,5,6,7}}=>7
[3,4,5,1,7,2,6]=>{{1,2,3,4,5,6,7}}=>7
[3,4,5,1,7,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[3,4,5,2,1,6,7]=>{{1,3,5},{2,4},{6},{7}}=>3
[3,4,5,2,1,7,6]=>{{1,3,5},{2,4},{6,7}}=>3
[3,4,5,2,6,1,7]=>{{1,3,5,6},{2,4},{7}}=>4
[3,4,5,2,6,7,1]=>{{1,3,5,6,7},{2,4}}=>5
[3,4,5,2,7,1,6]=>{{1,3,5,6,7},{2,4}}=>5
[3,4,5,2,7,6,1]=>{{1,3,5,7},{2,4},{6}}=>4
[3,4,5,6,1,2,7]=>{{1,3,5},{2,4,6},{7}}=>3
[3,4,5,6,1,7,2]=>{{1,3,5},{2,4,6,7}}=>4
[3,4,5,6,2,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,4,5,6,2,7,1]=>{{1,2,3,4,5,6,7}}=>7
[3,4,5,6,7,1,2]=>{{1,2,3,4,5,6,7}}=>7
[3,4,5,6,7,2,1]=>{{1,3,5,7},{2,4,6}}=>4
[3,4,5,7,1,2,6]=>{{1,3,5},{2,4,6,7}}=>4
[3,4,5,7,1,6,2]=>{{1,3,5},{2,4,7},{6}}=>3
[3,4,5,7,2,1,6]=>{{1,2,3,4,5,6,7}}=>7
[3,4,5,7,2,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[3,4,5,7,6,1,2]=>{{1,3,5,6},{2,4,7}}=>4
[3,4,5,7,6,2,1]=>{{1,2,3,4,5,6,7}}=>7
[3,4,6,1,2,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,4,6,1,2,7,5]=>{{1,2,3,4,5,6,7}}=>7
[3,4,6,1,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>5
[3,4,6,1,5,7,2]=>{{1,2,3,4,6,7},{5}}=>6
[3,4,6,1,7,2,5]=>{{1,2,3,4,6},{5,7}}=>5
[3,4,6,1,7,5,2]=>{{1,2,3,4,5,6,7}}=>7
[3,4,6,2,1,5,7]=>{{1,3,5,6},{2,4},{7}}=>4
[3,4,6,2,1,7,5]=>{{1,3,5,6,7},{2,4}}=>5
[3,4,6,2,5,1,7]=>{{1,3,6},{2,4},{5},{7}}=>3
[3,4,6,2,5,7,1]=>{{1,3,6,7},{2,4},{5}}=>4
[3,4,6,2,7,1,5]=>{{1,3,6},{2,4},{5,7}}=>3
[3,4,6,2,7,5,1]=>{{1,3,5,6,7},{2,4}}=>5
[3,4,6,5,1,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,4,6,5,1,7,2]=>{{1,2,3,4,5,6,7}}=>7
[3,4,6,5,2,1,7]=>{{1,3,6},{2,4,5},{7}}=>3
[3,4,6,5,2,7,1]=>{{1,3,6,7},{2,4,5}}=>4
[3,4,6,5,7,1,2]=>{{1,3,6},{2,4,5,7}}=>4
[3,4,6,5,7,2,1]=>{{1,2,3,4,5,6,7}}=>7
[3,4,6,7,1,2,5]=>{{1,2,3,4,5,6,7}}=>7
[3,4,6,7,1,5,2]=>{{1,3,5,6},{2,4,7}}=>4
[3,4,6,7,2,1,5]=>{{1,3,6},{2,4,5,7}}=>4
[3,4,6,7,2,5,1]=>{{1,2,3,4,5,6,7}}=>7
[3,4,6,7,5,1,2]=>{{1,3,6},{2,4,7},{5}}=>3
[3,4,6,7,5,2,1]=>{{1,2,3,4,6,7},{5}}=>6
[3,4,7,1,2,5,6]=>{{1,2,3,4,5,6,7}}=>7
[3,4,7,1,2,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[3,4,7,1,5,2,6]=>{{1,2,3,4,6,7},{5}}=>6
[3,4,7,1,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>5
[3,4,7,1,6,2,5]=>{{1,2,3,4,5,6,7}}=>7
[3,4,7,1,6,5,2]=>{{1,2,3,4,7},{5,6}}=>5
[3,4,7,2,1,5,6]=>{{1,3,5,6,7},{2,4}}=>5
[3,4,7,2,1,6,5]=>{{1,3,5,7},{2,4},{6}}=>4
[3,4,7,2,5,1,6]=>{{1,3,6,7},{2,4},{5}}=>4
[3,4,7,2,5,6,1]=>{{1,3,7},{2,4},{5},{6}}=>3
[3,4,7,2,6,1,5]=>{{1,3,5,6,7},{2,4}}=>5
[3,4,7,2,6,5,1]=>{{1,3,7},{2,4},{5,6}}=>3
[3,4,7,5,1,2,6]=>{{1,2,3,4,5,6,7}}=>7
[3,4,7,5,1,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[3,4,7,5,2,1,6]=>{{1,3,6,7},{2,4,5}}=>4
[3,4,7,5,2,6,1]=>{{1,3,7},{2,4,5},{6}}=>3
[3,4,7,5,6,1,2]=>{{1,2,3,4,5,6,7}}=>7
[3,4,7,5,6,2,1]=>{{1,3,7},{2,4,5,6}}=>4
[3,4,7,6,1,2,5]=>{{1,3,5,7},{2,4,6}}=>4
[3,4,7,6,1,5,2]=>{{1,2,3,4,5,6,7}}=>7
[3,4,7,6,2,1,5]=>{{1,2,3,4,5,6,7}}=>7
[3,4,7,6,2,5,1]=>{{1,3,7},{2,4,5,6}}=>4
[3,4,7,6,5,1,2]=>{{1,2,3,4,6,7},{5}}=>6
[3,4,7,6,5,2,1]=>{{1,3,7},{2,4,6},{5}}=>3
[3,5,1,2,4,6,7]=>{{1,3},{2,4,5},{6},{7}}=>3
[3,5,1,2,4,7,6]=>{{1,3},{2,4,5},{6,7}}=>3
[3,5,1,2,6,4,7]=>{{1,3},{2,4,5,6},{7}}=>4
[3,5,1,2,6,7,4]=>{{1,3},{2,4,5,6,7}}=>5
[3,5,1,2,7,4,6]=>{{1,3},{2,4,5,6,7}}=>5
[3,5,1,2,7,6,4]=>{{1,3},{2,4,5,7},{6}}=>4
[3,5,1,4,2,6,7]=>{{1,3},{2,5},{4},{6},{7}}=>2
[3,5,1,4,2,7,6]=>{{1,3},{2,5},{4},{6,7}}=>2
[3,5,1,4,6,2,7]=>{{1,3},{2,5,6},{4},{7}}=>3
[3,5,1,4,6,7,2]=>{{1,3},{2,5,6,7},{4}}=>4
[3,5,1,4,7,2,6]=>{{1,3},{2,5,6,7},{4}}=>4
[3,5,1,4,7,6,2]=>{{1,3},{2,5,7},{4},{6}}=>3
[3,5,1,6,2,4,7]=>{{1,3},{2,5},{4,6},{7}}=>2
[3,5,1,6,2,7,4]=>{{1,3},{2,5},{4,6,7}}=>3
[3,5,1,6,4,2,7]=>{{1,3},{2,4,5,6},{7}}=>4
[3,5,1,6,4,7,2]=>{{1,3},{2,4,5,6,7}}=>5
[3,5,1,6,7,2,4]=>{{1,3},{2,4,5,6,7}}=>5
[3,5,1,6,7,4,2]=>{{1,3},{2,5,7},{4,6}}=>3
[3,5,1,7,2,4,6]=>{{1,3},{2,5},{4,6,7}}=>3
[3,5,1,7,2,6,4]=>{{1,3},{2,5},{4,7},{6}}=>2
[3,5,1,7,4,2,6]=>{{1,3},{2,4,5,6,7}}=>5
[3,5,1,7,4,6,2]=>{{1,3},{2,4,5,7},{6}}=>4
[3,5,1,7,6,2,4]=>{{1,3},{2,5,6},{4,7}}=>3
[3,5,1,7,6,4,2]=>{{1,3},{2,4,5,6,7}}=>5
[3,5,2,1,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[3,5,2,1,4,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[3,5,2,1,6,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,5,2,1,6,7,4]=>{{1,2,3,4,5,6,7}}=>7
[3,5,2,1,7,4,6]=>{{1,2,3,4,5,6,7}}=>7
[3,5,2,1,7,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[3,5,2,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}=>4
[3,5,2,4,1,7,6]=>{{1,2,3,5},{4},{6,7}}=>4
[3,5,2,4,6,1,7]=>{{1,2,3,5,6},{4},{7}}=>5
[3,5,2,4,6,7,1]=>{{1,2,3,5,6,7},{4}}=>6
[3,5,2,4,7,1,6]=>{{1,2,3,5,6,7},{4}}=>6
[3,5,2,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}=>5
[3,5,2,6,1,4,7]=>{{1,2,3,5},{4,6},{7}}=>4
[3,5,2,6,1,7,4]=>{{1,2,3,5},{4,6,7}}=>4
[3,5,2,6,4,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,5,2,6,4,7,1]=>{{1,2,3,4,5,6,7}}=>7
[3,5,2,6,7,1,4]=>{{1,2,3,4,5,6,7}}=>7
[3,5,2,6,7,4,1]=>{{1,2,3,5,7},{4,6}}=>5
[3,5,2,7,1,4,6]=>{{1,2,3,5},{4,6,7}}=>4
[3,5,2,7,1,6,4]=>{{1,2,3,5},{4,7},{6}}=>4
[3,5,2,7,4,1,6]=>{{1,2,3,4,5,6,7}}=>7
[3,5,2,7,4,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[3,5,2,7,6,1,4]=>{{1,2,3,5,6},{4,7}}=>5
[3,5,2,7,6,4,1]=>{{1,2,3,4,5,6,7}}=>7
[3,5,4,1,2,6,7]=>{{1,3,4},{2,5},{6},{7}}=>3
[3,5,4,1,2,7,6]=>{{1,3,4},{2,5},{6,7}}=>3
[3,5,4,1,6,2,7]=>{{1,3,4},{2,5,6},{7}}=>3
[3,5,4,1,6,7,2]=>{{1,3,4},{2,5,6,7}}=>4
[3,5,4,1,7,2,6]=>{{1,3,4},{2,5,6,7}}=>4
[3,5,4,1,7,6,2]=>{{1,3,4},{2,5,7},{6}}=>3
[3,5,4,2,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[3,5,4,2,1,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[3,5,4,2,6,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,5,4,2,6,7,1]=>{{1,2,3,4,5,6,7}}=>7
[3,5,4,2,7,1,6]=>{{1,2,3,4,5,6,7}}=>7
[3,5,4,2,7,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[3,5,4,6,1,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,5,4,6,1,7,2]=>{{1,2,3,4,5,6,7}}=>7
[3,5,4,6,2,1,7]=>{{1,3,4,6},{2,5},{7}}=>4
[3,5,4,6,2,7,1]=>{{1,3,4,6,7},{2,5}}=>5
[3,5,4,6,7,1,2]=>{{1,3,4,6},{2,5,7}}=>4
[3,5,4,6,7,2,1]=>{{1,2,3,4,5,6,7}}=>7
[3,5,4,7,1,2,6]=>{{1,2,3,4,5,6,7}}=>7
[3,5,4,7,1,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[3,5,4,7,2,1,6]=>{{1,3,4,6,7},{2,5}}=>5
[3,5,4,7,2,6,1]=>{{1,3,4,7},{2,5},{6}}=>4
[3,5,4,7,6,1,2]=>{{1,2,3,4,5,6,7}}=>7
[3,5,4,7,6,2,1]=>{{1,3,4,7},{2,5,6}}=>4
[3,5,6,1,2,4,7]=>{{1,3,4,6},{2,5},{7}}=>4
[3,5,6,1,2,7,4]=>{{1,3,4,6,7},{2,5}}=>5
[3,5,6,1,4,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,5,6,1,4,7,2]=>{{1,2,3,4,5,6,7}}=>7
[3,5,6,1,7,2,4]=>{{1,2,3,4,5,6,7}}=>7
[3,5,6,1,7,4,2]=>{{1,3,4,6},{2,5,7}}=>4
[3,5,6,2,1,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,5,6,2,1,7,4]=>{{1,2,3,4,5,6,7}}=>7
[3,5,6,2,4,1,7]=>{{1,3,6},{2,4,5},{7}}=>3
[3,5,6,2,4,7,1]=>{{1,3,6,7},{2,4,5}}=>4
[3,5,6,2,7,1,4]=>{{1,3,6},{2,4,5,7}}=>4
[3,5,6,2,7,4,1]=>{{1,2,3,4,5,6,7}}=>7
[3,5,6,4,1,2,7]=>{{1,2,3,5,6},{4},{7}}=>5
[3,5,6,4,1,7,2]=>{{1,2,3,5,6,7},{4}}=>6
[3,5,6,4,2,1,7]=>{{1,3,6},{2,5},{4},{7}}=>3
[3,5,6,4,2,7,1]=>{{1,3,6,7},{2,5},{4}}=>4
[3,5,6,4,7,1,2]=>{{1,3,6},{2,5,7},{4}}=>3
[3,5,6,4,7,2,1]=>{{1,2,3,5,6,7},{4}}=>6
[3,5,6,7,1,2,4]=>{{1,2,3,5,6},{4,7}}=>5
[3,5,6,7,1,4,2]=>{{1,2,3,4,5,6,7}}=>7
[3,5,6,7,2,1,4]=>{{1,3,6},{2,5},{4,7}}=>3
[3,5,6,7,2,4,1]=>{{1,3,4,6,7},{2,5}}=>5
[3,5,6,7,4,1,2]=>{{1,3,6},{2,4,5,7}}=>4
[3,5,6,7,4,2,1]=>{{1,2,3,4,5,6,7}}=>7
[3,5,7,1,2,4,6]=>{{1,3,4,6,7},{2,5}}=>5
[3,5,7,1,2,6,4]=>{{1,3,4,7},{2,5},{6}}=>4
[3,5,7,1,4,2,6]=>{{1,2,3,4,5,6,7}}=>7
[3,5,7,1,4,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[3,5,7,1,6,2,4]=>{{1,3,4,7},{2,5,6}}=>4
[3,5,7,1,6,4,2]=>{{1,2,3,4,5,6,7}}=>7
[3,5,7,2,1,4,6]=>{{1,2,3,4,5,6,7}}=>7
[3,5,7,2,1,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[3,5,7,2,4,1,6]=>{{1,3,6,7},{2,4,5}}=>4
[3,5,7,2,4,6,1]=>{{1,3,7},{2,4,5},{6}}=>3
[3,5,7,2,6,1,4]=>{{1,2,3,4,5,6,7}}=>7
[3,5,7,2,6,4,1]=>{{1,3,7},{2,4,5,6}}=>4
[3,5,7,4,1,2,6]=>{{1,2,3,5,6,7},{4}}=>6
[3,5,7,4,1,6,2]=>{{1,2,3,5,7},{4},{6}}=>5
[3,5,7,4,2,1,6]=>{{1,3,6,7},{2,5},{4}}=>4
[3,5,7,4,2,6,1]=>{{1,3,7},{2,5},{4},{6}}=>3
[3,5,7,4,6,1,2]=>{{1,2,3,5,6,7},{4}}=>6
[3,5,7,4,6,2,1]=>{{1,3,7},{2,5,6},{4}}=>3
[3,5,7,6,1,2,4]=>{{1,2,3,4,5,6,7}}=>7
[3,5,7,6,1,4,2]=>{{1,2,3,5,7},{4,6}}=>5
[3,5,7,6,2,1,4]=>{{1,3,4,6,7},{2,5}}=>5
[3,5,7,6,2,4,1]=>{{1,3,7},{2,5},{4,6}}=>3
[3,5,7,6,4,1,2]=>{{1,2,3,4,5,6,7}}=>7
[3,5,7,6,4,2,1]=>{{1,3,7},{2,4,5,6}}=>4
[3,6,1,2,4,5,7]=>{{1,3},{2,4,5,6},{7}}=>4
[3,6,1,2,4,7,5]=>{{1,3},{2,4,5,6,7}}=>5
[3,6,1,2,5,4,7]=>{{1,3},{2,4,6},{5},{7}}=>3
[3,6,1,2,5,7,4]=>{{1,3},{2,4,6,7},{5}}=>4
[3,6,1,2,7,4,5]=>{{1,3},{2,4,6},{5,7}}=>3
[3,6,1,2,7,5,4]=>{{1,3},{2,4,5,6,7}}=>5
[3,6,1,4,2,5,7]=>{{1,3},{2,5,6},{4},{7}}=>3
[3,6,1,4,2,7,5]=>{{1,3},{2,5,6,7},{4}}=>4
[3,6,1,4,5,2,7]=>{{1,3},{2,6},{4},{5},{7}}=>2
[3,6,1,4,5,7,2]=>{{1,3},{2,6,7},{4},{5}}=>3
[3,6,1,4,7,2,5]=>{{1,3},{2,6},{4},{5,7}}=>2
[3,6,1,4,7,5,2]=>{{1,3},{2,5,6,7},{4}}=>4
[3,6,1,5,2,4,7]=>{{1,3},{2,4,5,6},{7}}=>4
[3,6,1,5,2,7,4]=>{{1,3},{2,4,5,6,7}}=>5
[3,6,1,5,4,2,7]=>{{1,3},{2,6},{4,5},{7}}=>2
[3,6,1,5,4,7,2]=>{{1,3},{2,6,7},{4,5}}=>3
[3,6,1,5,7,2,4]=>{{1,3},{2,6},{4,5,7}}=>3
[3,6,1,5,7,4,2]=>{{1,3},{2,4,5,6,7}}=>5
[3,6,1,7,2,4,5]=>{{1,3},{2,4,5,6,7}}=>5
[3,6,1,7,2,5,4]=>{{1,3},{2,5,6},{4,7}}=>3
[3,6,1,7,4,2,5]=>{{1,3},{2,6},{4,5,7}}=>3
[3,6,1,7,4,5,2]=>{{1,3},{2,4,5,6,7}}=>5
[3,6,1,7,5,2,4]=>{{1,3},{2,6},{4,7},{5}}=>2
[3,6,1,7,5,4,2]=>{{1,3},{2,4,6,7},{5}}=>4
[3,6,2,1,4,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,6,2,1,4,7,5]=>{{1,2,3,4,5,6,7}}=>7
[3,6,2,1,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>5
[3,6,2,1,5,7,4]=>{{1,2,3,4,6,7},{5}}=>6
[3,6,2,1,7,4,5]=>{{1,2,3,4,6},{5,7}}=>5
[3,6,2,1,7,5,4]=>{{1,2,3,4,5,6,7}}=>7
[3,6,2,4,1,5,7]=>{{1,2,3,5,6},{4},{7}}=>5
[3,6,2,4,1,7,5]=>{{1,2,3,5,6,7},{4}}=>6
[3,6,2,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}}=>4
[3,6,2,4,5,7,1]=>{{1,2,3,6,7},{4},{5}}=>5
[3,6,2,4,7,1,5]=>{{1,2,3,6},{4},{5,7}}=>4
[3,6,2,4,7,5,1]=>{{1,2,3,5,6,7},{4}}=>6
[3,6,2,5,1,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,6,2,5,1,7,4]=>{{1,2,3,4,5,6,7}}=>7
[3,6,2,5,4,1,7]=>{{1,2,3,6},{4,5},{7}}=>4
[3,6,2,5,4,7,1]=>{{1,2,3,6,7},{4,5}}=>5
[3,6,2,5,7,1,4]=>{{1,2,3,6},{4,5,7}}=>4
[3,6,2,5,7,4,1]=>{{1,2,3,4,5,6,7}}=>7
[3,6,2,7,1,4,5]=>{{1,2,3,4,5,6,7}}=>7
[3,6,2,7,1,5,4]=>{{1,2,3,5,6},{4,7}}=>5
[3,6,2,7,4,1,5]=>{{1,2,3,6},{4,5,7}}=>4
[3,6,2,7,4,5,1]=>{{1,2,3,4,5,6,7}}=>7
[3,6,2,7,5,1,4]=>{{1,2,3,6},{4,7},{5}}=>4
[3,6,2,7,5,4,1]=>{{1,2,3,4,6,7},{5}}=>6
[3,6,4,1,2,5,7]=>{{1,3,4},{2,5,6},{7}}=>3
[3,6,4,1,2,7,5]=>{{1,3,4},{2,5,6,7}}=>4
[3,6,4,1,5,2,7]=>{{1,3,4},{2,6},{5},{7}}=>3
[3,6,4,1,5,7,2]=>{{1,3,4},{2,6,7},{5}}=>3
[3,6,4,1,7,2,5]=>{{1,3,4},{2,6},{5,7}}=>3
[3,6,4,1,7,5,2]=>{{1,3,4},{2,5,6,7}}=>4
[3,6,4,2,1,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,6,4,2,1,7,5]=>{{1,2,3,4,5,6,7}}=>7
[3,6,4,2,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>5
[3,6,4,2,5,7,1]=>{{1,2,3,4,6,7},{5}}=>6
[3,6,4,2,7,1,5]=>{{1,2,3,4,6},{5,7}}=>5
[3,6,4,2,7,5,1]=>{{1,2,3,4,5,6,7}}=>7
[3,6,4,5,1,2,7]=>{{1,3,4,5},{2,6},{7}}=>4
[3,6,4,5,1,7,2]=>{{1,3,4,5},{2,6,7}}=>4
[3,6,4,5,2,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,6,4,5,2,7,1]=>{{1,2,3,4,5,6,7}}=>7
[3,6,4,5,7,1,2]=>{{1,2,3,4,5,6,7}}=>7
[3,6,4,5,7,2,1]=>{{1,3,4,5,7},{2,6}}=>5
[3,6,4,7,1,2,5]=>{{1,3,4,5,7},{2,6}}=>5
[3,6,4,7,1,5,2]=>{{1,2,3,4,5,6,7}}=>7
[3,6,4,7,2,1,5]=>{{1,2,3,4,5,6,7}}=>7
[3,6,4,7,2,5,1]=>{{1,3,4,7},{2,5,6}}=>4
[3,6,4,7,5,1,2]=>{{1,2,3,4,6,7},{5}}=>6
[3,6,4,7,5,2,1]=>{{1,3,4,7},{2,6},{5}}=>4
[3,6,5,1,2,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,6,5,1,2,7,4]=>{{1,2,3,4,5,6,7}}=>7
[3,6,5,1,4,2,7]=>{{1,3,4,5},{2,6},{7}}=>4
[3,6,5,1,4,7,2]=>{{1,3,4,5},{2,6,7}}=>4
[3,6,5,1,7,2,4]=>{{1,3,4,5,7},{2,6}}=>5
[3,6,5,1,7,4,2]=>{{1,2,3,4,5,6,7}}=>7
[3,6,5,2,1,4,7]=>{{1,3,5},{2,4,6},{7}}=>3
[3,6,5,2,1,7,4]=>{{1,3,5},{2,4,6,7}}=>4
[3,6,5,2,4,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[3,6,5,2,4,7,1]=>{{1,2,3,4,5,6,7}}=>7
[3,6,5,2,7,1,4]=>{{1,2,3,4,5,6,7}}=>7
[3,6,5,2,7,4,1]=>{{1,3,5,7},{2,4,6}}=>4
[3,6,5,4,1,2,7]=>{{1,3,5},{2,6},{4},{7}}=>3
[3,6,5,4,1,7,2]=>{{1,3,5},{2,6,7},{4}}=>3
[3,6,5,4,2,1,7]=>{{1,2,3,5,6},{4},{7}}=>5
[3,6,5,4,2,7,1]=>{{1,2,3,5,6,7},{4}}=>6
[3,6,5,4,7,1,2]=>{{1,2,3,5,6,7},{4}}=>6
[3,6,5,4,7,2,1]=>{{1,3,5,7},{2,6},{4}}=>4
[3,6,5,7,1,2,4]=>{{1,3,5},{2,6},{4,7}}=>3
[3,6,5,7,1,4,2]=>{{1,3,5},{2,4,6,7}}=>4
[3,6,5,7,2,1,4]=>{{1,2,3,5,6},{4,7}}=>5
[3,6,5,7,2,4,1]=>{{1,2,3,4,5,6,7}}=>7
[3,6,5,7,4,1,2]=>{{1,2,3,4,5,6,7}}=>7
[3,6,5,7,4,2,1]=>{{1,3,4,5,7},{2,6}}=>5
[3,6,7,1,2,4,5]=>{{1,2,3,4,5,6,7}}=>7
[3,6,7,1,2,5,4]=>{{1,3,4,7},{2,5,6}}=>4
[3,6,7,1,4,2,5]=>{{1,3,4,5,7},{2,6}}=>5
[3,6,7,1,4,5,2]=>{{1,2,3,4,5,6,7}}=>7
[3,6,7,1,5,2,4]=>{{1,3,4,7},{2,6},{5}}=>4
[3,6,7,1,5,4,2]=>{{1,2,3,4,6,7},{5}}=>6
[3,6,7,2,1,4,5]=>{{1,3,5,7},{2,4,6}}=>4
[3,6,7,2,1,5,4]=>{{1,2,3,4,5,6,7}}=>7
[3,6,7,2,4,1,5]=>{{1,2,3,4,5,6,7}}=>7
[3,6,7,2,4,5,1]=>{{1,3,7},{2,4,5,6}}=>4
[3,6,7,2,5,1,4]=>{{1,2,3,4,6,7},{5}}=>6
[3,6,7,2,5,4,1]=>{{1,3,7},{2,4,6},{5}}=>3
[3,6,7,4,1,2,5]=>{{1,3,5,7},{2,6},{4}}=>4
[3,6,7,4,1,5,2]=>{{1,2,3,5,6,7},{4}}=>6
[3,6,7,4,2,1,5]=>{{1,2,3,5,6,7},{4}}=>6
[3,6,7,4,2,5,1]=>{{1,3,7},{2,5,6},{4}}=>3
[3,6,7,4,5,1,2]=>{{1,2,3,6,7},{4},{5}}=>5
[3,6,7,4,5,2,1]=>{{1,3,7},{2,6},{4},{5}}=>3
[3,6,7,5,1,2,4]=>{{1,3,4,5,7},{2,6}}=>5
[3,6,7,5,1,4,2]=>{{1,2,3,4,5,6,7}}=>7
[3,6,7,5,2,1,4]=>{{1,2,3,4,5,6,7}}=>7
[3,6,7,5,2,4,1]=>{{1,3,7},{2,4,5,6}}=>4
[3,6,7,5,4,1,2]=>{{1,2,3,6,7},{4,5}}=>5
[3,6,7,5,4,2,1]=>{{1,3,7},{2,6},{4,5}}=>3
[3,7,1,2,4,5,6]=>{{1,3},{2,4,5,6,7}}=>5
[3,7,1,2,4,6,5]=>{{1,3},{2,4,5,7},{6}}=>4
[3,7,1,2,5,4,6]=>{{1,3},{2,4,6,7},{5}}=>4
[3,7,1,2,5,6,4]=>{{1,3},{2,4,7},{5},{6}}=>3
[3,7,1,2,6,4,5]=>{{1,3},{2,4,5,6,7}}=>5
[3,7,1,2,6,5,4]=>{{1,3},{2,4,7},{5,6}}=>3
[3,7,1,4,2,5,6]=>{{1,3},{2,5,6,7},{4}}=>4
[3,7,1,4,2,6,5]=>{{1,3},{2,5,7},{4},{6}}=>3
[3,7,1,4,5,2,6]=>{{1,3},{2,6,7},{4},{5}}=>3
[3,7,1,4,5,6,2]=>{{1,3},{2,7},{4},{5},{6}}=>2
[3,7,1,4,6,2,5]=>{{1,3},{2,5,6,7},{4}}=>4
[3,7,1,4,6,5,2]=>{{1,3},{2,7},{4},{5,6}}=>2
[3,7,1,5,2,4,6]=>{{1,3},{2,4,5,6,7}}=>5
[3,7,1,5,2,6,4]=>{{1,3},{2,4,5,7},{6}}=>4
[3,7,1,5,4,2,6]=>{{1,3},{2,6,7},{4,5}}=>3
[3,7,1,5,4,6,2]=>{{1,3},{2,7},{4,5},{6}}=>2
[3,7,1,5,6,2,4]=>{{1,3},{2,4,5,6,7}}=>5
[3,7,1,5,6,4,2]=>{{1,3},{2,7},{4,5,6}}=>3
[3,7,1,6,2,4,5]=>{{1,3},{2,5,7},{4,6}}=>3
[3,7,1,6,2,5,4]=>{{1,3},{2,4,5,6,7}}=>5
[3,7,1,6,4,2,5]=>{{1,3},{2,4,5,6,7}}=>5
[3,7,1,6,4,5,2]=>{{1,3},{2,7},{4,5,6}}=>3
[3,7,1,6,5,2,4]=>{{1,3},{2,4,6,7},{5}}=>4
[3,7,1,6,5,4,2]=>{{1,3},{2,7},{4,6},{5}}=>2
[3,7,2,1,4,5,6]=>{{1,2,3,4,5,6,7}}=>7
[3,7,2,1,4,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[3,7,2,1,5,4,6]=>{{1,2,3,4,6,7},{5}}=>6
[3,7,2,1,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>5
[3,7,2,1,6,4,5]=>{{1,2,3,4,5,6,7}}=>7
[3,7,2,1,6,5,4]=>{{1,2,3,4,7},{5,6}}=>5
[3,7,2,4,1,5,6]=>{{1,2,3,5,6,7},{4}}=>6
[3,7,2,4,1,6,5]=>{{1,2,3,5,7},{4},{6}}=>5
[3,7,2,4,5,1,6]=>{{1,2,3,6,7},{4},{5}}=>5
[3,7,2,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}}=>4
[3,7,2,4,6,1,5]=>{{1,2,3,5,6,7},{4}}=>6
[3,7,2,4,6,5,1]=>{{1,2,3,7},{4},{5,6}}=>4
[3,7,2,5,1,4,6]=>{{1,2,3,4,5,6,7}}=>7
[3,7,2,5,1,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[3,7,2,5,4,1,6]=>{{1,2,3,6,7},{4,5}}=>5
[3,7,2,5,4,6,1]=>{{1,2,3,7},{4,5},{6}}=>4
[3,7,2,5,6,1,4]=>{{1,2,3,4,5,6,7}}=>7
[3,7,2,5,6,4,1]=>{{1,2,3,7},{4,5,6}}=>4
[3,7,2,6,1,4,5]=>{{1,2,3,5,7},{4,6}}=>5
[3,7,2,6,1,5,4]=>{{1,2,3,4,5,6,7}}=>7
[3,7,2,6,4,1,5]=>{{1,2,3,4,5,6,7}}=>7
[3,7,2,6,4,5,1]=>{{1,2,3,7},{4,5,6}}=>4
[3,7,2,6,5,1,4]=>{{1,2,3,4,6,7},{5}}=>6
[3,7,2,6,5,4,1]=>{{1,2,3,7},{4,6},{5}}=>4
[3,7,4,1,2,5,6]=>{{1,3,4},{2,5,6,7}}=>4
[3,7,4,1,2,6,5]=>{{1,3,4},{2,5,7},{6}}=>3
[3,7,4,1,5,2,6]=>{{1,3,4},{2,6,7},{5}}=>3
[3,7,4,1,5,6,2]=>{{1,3,4},{2,7},{5},{6}}=>3
[3,7,4,1,6,2,5]=>{{1,3,4},{2,5,6,7}}=>4
[3,7,4,1,6,5,2]=>{{1,3,4},{2,7},{5,6}}=>3
[3,7,4,2,1,5,6]=>{{1,2,3,4,5,6,7}}=>7
[3,7,4,2,1,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[3,7,4,2,5,1,6]=>{{1,2,3,4,6,7},{5}}=>6
[3,7,4,2,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>5
[3,7,4,2,6,1,5]=>{{1,2,3,4,5,6,7}}=>7
[3,7,4,2,6,5,1]=>{{1,2,3,4,7},{5,6}}=>5
[3,7,4,5,1,2,6]=>{{1,3,4,5},{2,6,7}}=>4
[3,7,4,5,1,6,2]=>{{1,3,4,5},{2,7},{6}}=>4
[3,7,4,5,2,1,6]=>{{1,2,3,4,5,6,7}}=>7
[3,7,4,5,2,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[3,7,4,5,6,1,2]=>{{1,3,4,5,6},{2,7}}=>5
[3,7,4,5,6,2,1]=>{{1,2,3,4,5,6,7}}=>7
[3,7,4,6,1,2,5]=>{{1,2,3,4,5,6,7}}=>7
[3,7,4,6,1,5,2]=>{{1,3,4,5,6},{2,7}}=>5
[3,7,4,6,2,1,5]=>{{1,3,4,6},{2,5,7}}=>4
[3,7,4,6,2,5,1]=>{{1,2,3,4,5,6,7}}=>7
[3,7,4,6,5,1,2]=>{{1,3,4,6},{2,7},{5}}=>4
[3,7,4,6,5,2,1]=>{{1,2,3,4,6,7},{5}}=>6
[3,7,5,1,2,4,6]=>{{1,2,3,4,5,6,7}}=>7
[3,7,5,1,2,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[3,7,5,1,4,2,6]=>{{1,3,4,5},{2,6,7}}=>4
[3,7,5,1,4,6,2]=>{{1,3,4,5},{2,7},{6}}=>4
[3,7,5,1,6,2,4]=>{{1,2,3,4,5,6,7}}=>7
[3,7,5,1,6,4,2]=>{{1,3,4,5,6},{2,7}}=>5
[3,7,5,2,1,4,6]=>{{1,3,5},{2,4,6,7}}=>4
[3,7,5,2,1,6,4]=>{{1,3,5},{2,4,7},{6}}=>3
[3,7,5,2,4,1,6]=>{{1,2,3,4,5,6,7}}=>7
[3,7,5,2,4,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[3,7,5,2,6,1,4]=>{{1,3,5,6},{2,4,7}}=>4
[3,7,5,2,6,4,1]=>{{1,2,3,4,5,6,7}}=>7
[3,7,5,4,1,2,6]=>{{1,3,5},{2,6,7},{4}}=>3
[3,7,5,4,1,6,2]=>{{1,3,5},{2,7},{4},{6}}=>3
[3,7,5,4,2,1,6]=>{{1,2,3,5,6,7},{4}}=>6
[3,7,5,4,2,6,1]=>{{1,2,3,5,7},{4},{6}}=>5
[3,7,5,4,6,1,2]=>{{1,3,5,6},{2,7},{4}}=>4
[3,7,5,4,6,2,1]=>{{1,2,3,5,6,7},{4}}=>6
[3,7,5,6,1,2,4]=>{{1,3,5},{2,4,6,7}}=>4
[3,7,5,6,1,4,2]=>{{1,3,5},{2,7},{4,6}}=>3
[3,7,5,6,2,1,4]=>{{1,2,3,4,5,6,7}}=>7
[3,7,5,6,2,4,1]=>{{1,2,3,5,7},{4,6}}=>5
[3,7,5,6,4,1,2]=>{{1,3,4,5,6},{2,7}}=>5
[3,7,5,6,4,2,1]=>{{1,2,3,4,5,6,7}}=>7
[3,7,6,1,2,4,5]=>{{1,3,4,6},{2,5,7}}=>4
[3,7,6,1,2,5,4]=>{{1,2,3,4,5,6,7}}=>7
[3,7,6,1,4,2,5]=>{{1,2,3,4,5,6,7}}=>7
[3,7,6,1,4,5,2]=>{{1,3,4,5,6},{2,7}}=>5
[3,7,6,1,5,2,4]=>{{1,2,3,4,6,7},{5}}=>6
[3,7,6,1,5,4,2]=>{{1,3,4,6},{2,7},{5}}=>4
[3,7,6,2,1,4,5]=>{{1,2,3,4,5,6,7}}=>7
[3,7,6,2,1,5,4]=>{{1,3,5,6},{2,4,7}}=>4
[3,7,6,2,4,1,5]=>{{1,3,6},{2,4,5,7}}=>4
[3,7,6,2,4,5,1]=>{{1,2,3,4,5,6,7}}=>7
[3,7,6,2,5,1,4]=>{{1,3,6},{2,4,7},{5}}=>3
[3,7,6,2,5,4,1]=>{{1,2,3,4,6,7},{5}}=>6
[3,7,6,4,1,2,5]=>{{1,2,3,5,6,7},{4}}=>6
[3,7,6,4,1,5,2]=>{{1,3,5,6},{2,7},{4}}=>4
[3,7,6,4,2,1,5]=>{{1,3,6},{2,5,7},{4}}=>3
[3,7,6,4,2,5,1]=>{{1,2,3,5,6,7},{4}}=>6
[3,7,6,4,5,1,2]=>{{1,3,6},{2,7},{4},{5}}=>3
[3,7,6,4,5,2,1]=>{{1,2,3,6,7},{4},{5}}=>5
[3,7,6,5,1,2,4]=>{{1,2,3,4,5,6,7}}=>7
[3,7,6,5,1,4,2]=>{{1,3,4,5,6},{2,7}}=>5
[3,7,6,5,2,1,4]=>{{1,3,6},{2,4,5,7}}=>4
[3,7,6,5,2,4,1]=>{{1,2,3,4,5,6,7}}=>7
[3,7,6,5,4,1,2]=>{{1,3,6},{2,7},{4,5}}=>3
[3,7,6,5,4,2,1]=>{{1,2,3,6,7},{4,5}}=>5
[4,1,2,3,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>4
[4,1,2,3,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>4
[4,1,2,3,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>4
[4,1,2,3,6,7,5]=>{{1,2,3,4},{5,6,7}}=>4
[4,1,2,3,7,5,6]=>{{1,2,3,4},{5,6,7}}=>4
[4,1,2,3,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>4
[4,1,2,5,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[4,1,2,5,3,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[4,1,2,5,6,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,1,2,5,6,7,3]=>{{1,2,3,4,5,6,7}}=>7
[4,1,2,5,7,3,6]=>{{1,2,3,4,5,6,7}}=>7
[4,1,2,5,7,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[4,1,2,6,3,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,1,2,6,3,7,5]=>{{1,2,3,4,5,6,7}}=>7
[4,1,2,6,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>5
[4,1,2,6,5,7,3]=>{{1,2,3,4,6,7},{5}}=>6
[4,1,2,6,7,3,5]=>{{1,2,3,4,6},{5,7}}=>5
[4,1,2,6,7,5,3]=>{{1,2,3,4,5,6,7}}=>7
[4,1,2,7,3,5,6]=>{{1,2,3,4,5,6,7}}=>7
[4,1,2,7,3,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[4,1,2,7,5,3,6]=>{{1,2,3,4,6,7},{5}}=>6
[4,1,2,7,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>5
[4,1,2,7,6,3,5]=>{{1,2,3,4,5,6,7}}=>7
[4,1,2,7,6,5,3]=>{{1,2,3,4,7},{5,6}}=>5
[4,1,3,2,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>3
[4,1,3,2,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>3
[4,1,3,2,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>3
[4,1,3,2,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>3
[4,1,3,2,7,5,6]=>{{1,2,4},{3},{5,6,7}}=>3
[4,1,3,2,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>3
[4,1,3,5,2,6,7]=>{{1,2,4,5},{3},{6},{7}}=>4
[4,1,3,5,2,7,6]=>{{1,2,4,5},{3},{6,7}}=>4
[4,1,3,5,6,2,7]=>{{1,2,4,5,6},{3},{7}}=>5
[4,1,3,5,6,7,2]=>{{1,2,4,5,6,7},{3}}=>6
[4,1,3,5,7,2,6]=>{{1,2,4,5,6,7},{3}}=>6
[4,1,3,5,7,6,2]=>{{1,2,4,5,7},{3},{6}}=>5
[4,1,3,6,2,5,7]=>{{1,2,4,5,6},{3},{7}}=>5
[4,1,3,6,2,7,5]=>{{1,2,4,5,6,7},{3}}=>6
[4,1,3,6,5,2,7]=>{{1,2,4,6},{3},{5},{7}}=>4
[4,1,3,6,5,7,2]=>{{1,2,4,6,7},{3},{5}}=>5
[4,1,3,6,7,2,5]=>{{1,2,4,6},{3},{5,7}}=>4
[4,1,3,6,7,5,2]=>{{1,2,4,5,6,7},{3}}=>6
[4,1,3,7,2,5,6]=>{{1,2,4,5,6,7},{3}}=>6
[4,1,3,7,2,6,5]=>{{1,2,4,5,7},{3},{6}}=>5
[4,1,3,7,5,2,6]=>{{1,2,4,6,7},{3},{5}}=>5
[4,1,3,7,5,6,2]=>{{1,2,4,7},{3},{5},{6}}=>4
[4,1,3,7,6,2,5]=>{{1,2,4,5,6,7},{3}}=>6
[4,1,3,7,6,5,2]=>{{1,2,4,7},{3},{5,6}}=>4
[4,1,5,2,3,6,7]=>{{1,2,4},{3,5},{6},{7}}=>3
[4,1,5,2,3,7,6]=>{{1,2,4},{3,5},{6,7}}=>3
[4,1,5,2,6,3,7]=>{{1,2,4},{3,5,6},{7}}=>3
[4,1,5,2,6,7,3]=>{{1,2,4},{3,5,6,7}}=>4
[4,1,5,2,7,3,6]=>{{1,2,4},{3,5,6,7}}=>4
[4,1,5,2,7,6,3]=>{{1,2,4},{3,5,7},{6}}=>3
[4,1,5,3,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[4,1,5,3,2,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[4,1,5,3,6,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,1,5,3,6,7,2]=>{{1,2,3,4,5,6,7}}=>7
[4,1,5,3,7,2,6]=>{{1,2,3,4,5,6,7}}=>7
[4,1,5,3,7,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[4,1,5,6,2,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,1,5,6,2,7,3]=>{{1,2,3,4,5,6,7}}=>7
[4,1,5,6,3,2,7]=>{{1,2,4,6},{3,5},{7}}=>4
[4,1,5,6,3,7,2]=>{{1,2,4,6,7},{3,5}}=>5
[4,1,5,6,7,2,3]=>{{1,2,4,6},{3,5,7}}=>4
[4,1,5,6,7,3,2]=>{{1,2,3,4,5,6,7}}=>7
[4,1,5,7,2,3,6]=>{{1,2,3,4,5,6,7}}=>7
[4,1,5,7,2,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[4,1,5,7,3,2,6]=>{{1,2,4,6,7},{3,5}}=>5
[4,1,5,7,3,6,2]=>{{1,2,4,7},{3,5},{6}}=>4
[4,1,5,7,6,2,3]=>{{1,2,3,4,5,6,7}}=>7
[4,1,5,7,6,3,2]=>{{1,2,4,7},{3,5,6}}=>4
[4,1,6,2,3,5,7]=>{{1,2,4},{3,5,6},{7}}=>3
[4,1,6,2,3,7,5]=>{{1,2,4},{3,5,6,7}}=>4
[4,1,6,2,5,3,7]=>{{1,2,4},{3,6},{5},{7}}=>3
[4,1,6,2,5,7,3]=>{{1,2,4},{3,6,7},{5}}=>3
[4,1,6,2,7,3,5]=>{{1,2,4},{3,6},{5,7}}=>3
[4,1,6,2,7,5,3]=>{{1,2,4},{3,5,6,7}}=>4
[4,1,6,3,2,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,1,6,3,2,7,5]=>{{1,2,3,4,5,6,7}}=>7
[4,1,6,3,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>5
[4,1,6,3,5,7,2]=>{{1,2,3,4,6,7},{5}}=>6
[4,1,6,3,7,2,5]=>{{1,2,3,4,6},{5,7}}=>5
[4,1,6,3,7,5,2]=>{{1,2,3,4,5,6,7}}=>7
[4,1,6,5,2,3,7]=>{{1,2,4,5},{3,6},{7}}=>4
[4,1,6,5,2,7,3]=>{{1,2,4,5},{3,6,7}}=>4
[4,1,6,5,3,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,1,6,5,3,7,2]=>{{1,2,3,4,5,6,7}}=>7
[4,1,6,5,7,2,3]=>{{1,2,3,4,5,6,7}}=>7
[4,1,6,5,7,3,2]=>{{1,2,4,5,7},{3,6}}=>5
[4,1,6,7,2,3,5]=>{{1,2,4,5,7},{3,6}}=>5
[4,1,6,7,2,5,3]=>{{1,2,3,4,5,6,7}}=>7
[4,1,6,7,3,2,5]=>{{1,2,3,4,5,6,7}}=>7
[4,1,6,7,3,5,2]=>{{1,2,4,7},{3,5,6}}=>4
[4,1,6,7,5,2,3]=>{{1,2,3,4,6,7},{5}}=>6
[4,1,6,7,5,3,2]=>{{1,2,4,7},{3,6},{5}}=>4
[4,1,7,2,3,5,6]=>{{1,2,4},{3,5,6,7}}=>4
[4,1,7,2,3,6,5]=>{{1,2,4},{3,5,7},{6}}=>3
[4,1,7,2,5,3,6]=>{{1,2,4},{3,6,7},{5}}=>3
[4,1,7,2,5,6,3]=>{{1,2,4},{3,7},{5},{6}}=>3
[4,1,7,2,6,3,5]=>{{1,2,4},{3,5,6,7}}=>4
[4,1,7,2,6,5,3]=>{{1,2,4},{3,7},{5,6}}=>3
[4,1,7,3,2,5,6]=>{{1,2,3,4,5,6,7}}=>7
[4,1,7,3,2,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[4,1,7,3,5,2,6]=>{{1,2,3,4,6,7},{5}}=>6
[4,1,7,3,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>5
[4,1,7,3,6,2,5]=>{{1,2,3,4,5,6,7}}=>7
[4,1,7,3,6,5,2]=>{{1,2,3,4,7},{5,6}}=>5
[4,1,7,5,2,3,6]=>{{1,2,4,5},{3,6,7}}=>4
[4,1,7,5,2,6,3]=>{{1,2,4,5},{3,7},{6}}=>4
[4,1,7,5,3,2,6]=>{{1,2,3,4,5,6,7}}=>7
[4,1,7,5,3,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[4,1,7,5,6,2,3]=>{{1,2,4,5,6},{3,7}}=>5
[4,1,7,5,6,3,2]=>{{1,2,3,4,5,6,7}}=>7
[4,1,7,6,2,3,5]=>{{1,2,3,4,5,6,7}}=>7
[4,1,7,6,2,5,3]=>{{1,2,4,5,6},{3,7}}=>5
[4,1,7,6,3,2,5]=>{{1,2,4,6},{3,5,7}}=>4
[4,1,7,6,3,5,2]=>{{1,2,3,4,5,6,7}}=>7
[4,1,7,6,5,2,3]=>{{1,2,4,6},{3,7},{5}}=>4
[4,1,7,6,5,3,2]=>{{1,2,3,4,6,7},{5}}=>6
[4,2,1,3,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>3
[4,2,1,3,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>3
[4,2,1,3,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>3
[4,2,1,3,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>3
[4,2,1,3,7,5,6]=>{{1,3,4},{2},{5,6,7}}=>3
[4,2,1,3,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>3
[4,2,1,5,3,6,7]=>{{1,3,4,5},{2},{6},{7}}=>4
[4,2,1,5,3,7,6]=>{{1,3,4,5},{2},{6,7}}=>4
[4,2,1,5,6,3,7]=>{{1,3,4,5,6},{2},{7}}=>5
[4,2,1,5,6,7,3]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,1,5,7,3,6]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,1,5,7,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[4,2,1,6,3,5,7]=>{{1,3,4,5,6},{2},{7}}=>5
[4,2,1,6,3,7,5]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,1,6,5,3,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[4,2,1,6,5,7,3]=>{{1,3,4,6,7},{2},{5}}=>5
[4,2,1,6,7,3,5]=>{{1,3,4,6},{2},{5,7}}=>4
[4,2,1,6,7,5,3]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,1,7,3,5,6]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,1,7,3,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[4,2,1,7,5,3,6]=>{{1,3,4,6,7},{2},{5}}=>5
[4,2,1,7,5,6,3]=>{{1,3,4,7},{2},{5},{6}}=>4
[4,2,1,7,6,3,5]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,1,7,6,5,3]=>{{1,3,4,7},{2},{5,6}}=>4
[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>2
[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>2
[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>2
[4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>3
[4,2,3,1,7,5,6]=>{{1,4},{2},{3},{5,6,7}}=>3
[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>2
[4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>3
[4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}}=>3
[4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}}=>4
[4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}}=>5
[4,2,3,5,7,1,6]=>{{1,4,5,6,7},{2},{3}}=>5
[4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}}=>4
[4,2,3,6,1,5,7]=>{{1,4,5,6},{2},{3},{7}}=>4
[4,2,3,6,1,7,5]=>{{1,4,5,6,7},{2},{3}}=>5
[4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}}=>3
[4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}}=>4
[4,2,3,6,7,1,5]=>{{1,4,6},{2},{3},{5,7}}=>3
[4,2,3,6,7,5,1]=>{{1,4,5,6,7},{2},{3}}=>5
[4,2,3,7,1,5,6]=>{{1,4,5,6,7},{2},{3}}=>5
[4,2,3,7,1,6,5]=>{{1,4,5,7},{2},{3},{6}}=>4
[4,2,3,7,5,1,6]=>{{1,4,6,7},{2},{3},{5}}=>4
[4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}}=>3
[4,2,3,7,6,1,5]=>{{1,4,5,6,7},{2},{3}}=>5
[4,2,3,7,6,5,1]=>{{1,4,7},{2},{3},{5,6}}=>3
[4,2,5,1,3,6,7]=>{{1,4},{2},{3,5},{6},{7}}=>2
[4,2,5,1,3,7,6]=>{{1,4},{2},{3,5},{6,7}}=>2
[4,2,5,1,6,3,7]=>{{1,4},{2},{3,5,6},{7}}=>3
[4,2,5,1,6,7,3]=>{{1,4},{2},{3,5,6,7}}=>4
[4,2,5,1,7,3,6]=>{{1,4},{2},{3,5,6,7}}=>4
[4,2,5,1,7,6,3]=>{{1,4},{2},{3,5,7},{6}}=>3
[4,2,5,3,1,6,7]=>{{1,3,4,5},{2},{6},{7}}=>4
[4,2,5,3,1,7,6]=>{{1,3,4,5},{2},{6,7}}=>4
[4,2,5,3,6,1,7]=>{{1,3,4,5,6},{2},{7}}=>5
[4,2,5,3,6,7,1]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,5,3,7,1,6]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,5,3,7,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[4,2,5,6,1,3,7]=>{{1,3,4,5,6},{2},{7}}=>5
[4,2,5,6,1,7,3]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,5,6,3,1,7]=>{{1,4,6},{2},{3,5},{7}}=>3
[4,2,5,6,3,7,1]=>{{1,4,6,7},{2},{3,5}}=>4
[4,2,5,6,7,1,3]=>{{1,4,6},{2},{3,5,7}}=>3
[4,2,5,6,7,3,1]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,5,7,1,3,6]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,5,7,1,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[4,2,5,7,3,1,6]=>{{1,4,6,7},{2},{3,5}}=>4
[4,2,5,7,3,6,1]=>{{1,4,7},{2},{3,5},{6}}=>3
[4,2,5,7,6,1,3]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,5,7,6,3,1]=>{{1,4,7},{2},{3,5,6}}=>3
[4,2,6,1,3,5,7]=>{{1,4},{2},{3,5,6},{7}}=>3
[4,2,6,1,3,7,5]=>{{1,4},{2},{3,5,6,7}}=>4
[4,2,6,1,5,3,7]=>{{1,4},{2},{3,6},{5},{7}}=>2
[4,2,6,1,5,7,3]=>{{1,4},{2},{3,6,7},{5}}=>3
[4,2,6,1,7,3,5]=>{{1,4},{2},{3,6},{5,7}}=>2
[4,2,6,1,7,5,3]=>{{1,4},{2},{3,5,6,7}}=>4
[4,2,6,3,1,5,7]=>{{1,3,4,5,6},{2},{7}}=>5
[4,2,6,3,1,7,5]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,6,3,5,1,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[4,2,6,3,5,7,1]=>{{1,3,4,6,7},{2},{5}}=>5
[4,2,6,3,7,1,5]=>{{1,3,4,6},{2},{5,7}}=>4
[4,2,6,3,7,5,1]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,6,5,1,3,7]=>{{1,4,5},{2},{3,6},{7}}=>3
[4,2,6,5,1,7,3]=>{{1,4,5},{2},{3,6,7}}=>3
[4,2,6,5,3,1,7]=>{{1,3,4,5,6},{2},{7}}=>5
[4,2,6,5,3,7,1]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,6,5,7,1,3]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,6,5,7,3,1]=>{{1,4,5,7},{2},{3,6}}=>4
[4,2,6,7,1,3,5]=>{{1,4,5,7},{2},{3,6}}=>4
[4,2,6,7,1,5,3]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,6,7,3,1,5]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,6,7,3,5,1]=>{{1,4,7},{2},{3,5,6}}=>3
[4,2,6,7,5,1,3]=>{{1,3,4,6,7},{2},{5}}=>5
[4,2,6,7,5,3,1]=>{{1,4,7},{2},{3,6},{5}}=>3
[4,2,7,1,3,5,6]=>{{1,4},{2},{3,5,6,7}}=>4
[4,2,7,1,3,6,5]=>{{1,4},{2},{3,5,7},{6}}=>3
[4,2,7,1,5,3,6]=>{{1,4},{2},{3,6,7},{5}}=>3
[4,2,7,1,5,6,3]=>{{1,4},{2},{3,7},{5},{6}}=>2
[4,2,7,1,6,3,5]=>{{1,4},{2},{3,5,6,7}}=>4
[4,2,7,1,6,5,3]=>{{1,4},{2},{3,7},{5,6}}=>2
[4,2,7,3,1,5,6]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,7,3,1,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[4,2,7,3,5,1,6]=>{{1,3,4,6,7},{2},{5}}=>5
[4,2,7,3,5,6,1]=>{{1,3,4,7},{2},{5},{6}}=>4
[4,2,7,3,6,1,5]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,7,3,6,5,1]=>{{1,3,4,7},{2},{5,6}}=>4
[4,2,7,5,1,3,6]=>{{1,4,5},{2},{3,6,7}}=>3
[4,2,7,5,1,6,3]=>{{1,4,5},{2},{3,7},{6}}=>3
[4,2,7,5,3,1,6]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,7,5,3,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[4,2,7,5,6,1,3]=>{{1,4,5,6},{2},{3,7}}=>4
[4,2,7,5,6,3,1]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,7,6,1,3,5]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,7,6,1,5,3]=>{{1,4,5,6},{2},{3,7}}=>4
[4,2,7,6,3,1,5]=>{{1,4,6},{2},{3,5,7}}=>3
[4,2,7,6,3,5,1]=>{{1,3,4,5,6,7},{2}}=>6
[4,2,7,6,5,1,3]=>{{1,4,6},{2},{3,7},{5}}=>3
[4,2,7,6,5,3,1]=>{{1,3,4,6,7},{2},{5}}=>5
[4,3,1,2,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>4
[4,3,1,2,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>4
[4,3,1,2,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>4
[4,3,1,2,6,7,5]=>{{1,2,3,4},{5,6,7}}=>4
[4,3,1,2,7,5,6]=>{{1,2,3,4},{5,6,7}}=>4
[4,3,1,2,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>4
[4,3,1,5,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[4,3,1,5,2,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[4,3,1,5,6,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,3,1,5,6,7,2]=>{{1,2,3,4,5,6,7}}=>7
[4,3,1,5,7,2,6]=>{{1,2,3,4,5,6,7}}=>7
[4,3,1,5,7,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[4,3,1,6,2,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,3,1,6,2,7,5]=>{{1,2,3,4,5,6,7}}=>7
[4,3,1,6,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>5
[4,3,1,6,5,7,2]=>{{1,2,3,4,6,7},{5}}=>6
[4,3,1,6,7,2,5]=>{{1,2,3,4,6},{5,7}}=>5
[4,3,1,6,7,5,2]=>{{1,2,3,4,5,6,7}}=>7
[4,3,1,7,2,5,6]=>{{1,2,3,4,5,6,7}}=>7
[4,3,1,7,2,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[4,3,1,7,5,2,6]=>{{1,2,3,4,6,7},{5}}=>6
[4,3,1,7,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>5
[4,3,1,7,6,2,5]=>{{1,2,3,4,5,6,7}}=>7
[4,3,1,7,6,5,2]=>{{1,2,3,4,7},{5,6}}=>5
[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>2
[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>2
[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>2
[4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>3
[4,3,2,1,7,5,6]=>{{1,4},{2,3},{5,6,7}}=>3
[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>2
[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}}=>3
[4,3,2,5,1,7,6]=>{{1,4,5},{2,3},{6,7}}=>3
[4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}}=>4
[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}}=>5
[4,3,2,5,7,1,6]=>{{1,4,5,6,7},{2,3}}=>5
[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}}=>4
[4,3,2,6,1,5,7]=>{{1,4,5,6},{2,3},{7}}=>4
[4,3,2,6,1,7,5]=>{{1,4,5,6,7},{2,3}}=>5
[4,3,2,6,5,1,7]=>{{1,4,6},{2,3},{5},{7}}=>3
[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}}=>4
[4,3,2,6,7,1,5]=>{{1,4,6},{2,3},{5,7}}=>3
[4,3,2,6,7,5,1]=>{{1,4,5,6,7},{2,3}}=>5
[4,3,2,7,1,5,6]=>{{1,4,5,6,7},{2,3}}=>5
[4,3,2,7,1,6,5]=>{{1,4,5,7},{2,3},{6}}=>4
[4,3,2,7,5,1,6]=>{{1,4,6,7},{2,3},{5}}=>4
[4,3,2,7,5,6,1]=>{{1,4,7},{2,3},{5},{6}}=>3
[4,3,2,7,6,1,5]=>{{1,4,5,6,7},{2,3}}=>5
[4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}}=>3
[4,3,5,1,2,6,7]=>{{1,4},{2,3,5},{6},{7}}=>3
[4,3,5,1,2,7,6]=>{{1,4},{2,3,5},{6,7}}=>3
[4,3,5,1,6,2,7]=>{{1,4},{2,3,5,6},{7}}=>4
[4,3,5,1,6,7,2]=>{{1,4},{2,3,5,6,7}}=>5
[4,3,5,1,7,2,6]=>{{1,4},{2,3,5,6,7}}=>5
[4,3,5,1,7,6,2]=>{{1,4},{2,3,5,7},{6}}=>4
[4,3,5,2,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[4,3,5,2,1,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[4,3,5,2,6,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,3,5,2,6,7,1]=>{{1,2,3,4,5,6,7}}=>7
[4,3,5,2,7,1,6]=>{{1,2,3,4,5,6,7}}=>7
[4,3,5,2,7,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[4,3,5,6,1,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,3,5,6,1,7,2]=>{{1,2,3,4,5,6,7}}=>7
[4,3,5,6,2,1,7]=>{{1,4,6},{2,3,5},{7}}=>3
[4,3,5,6,2,7,1]=>{{1,4,6,7},{2,3,5}}=>4
[4,3,5,6,7,1,2]=>{{1,4,6},{2,3,5,7}}=>4
[4,3,5,6,7,2,1]=>{{1,2,3,4,5,6,7}}=>7
[4,3,5,7,1,2,6]=>{{1,2,3,4,5,6,7}}=>7
[4,3,5,7,1,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[4,3,5,7,2,1,6]=>{{1,4,6,7},{2,3,5}}=>4
[4,3,5,7,2,6,1]=>{{1,4,7},{2,3,5},{6}}=>3
[4,3,5,7,6,1,2]=>{{1,2,3,4,5,6,7}}=>7
[4,3,5,7,6,2,1]=>{{1,4,7},{2,3,5,6}}=>4
[4,3,6,1,2,5,7]=>{{1,4},{2,3,5,6},{7}}=>4
[4,3,6,1,2,7,5]=>{{1,4},{2,3,5,6,7}}=>5
[4,3,6,1,5,2,7]=>{{1,4},{2,3,6},{5},{7}}=>3
[4,3,6,1,5,7,2]=>{{1,4},{2,3,6,7},{5}}=>4
[4,3,6,1,7,2,5]=>{{1,4},{2,3,6},{5,7}}=>3
[4,3,6,1,7,5,2]=>{{1,4},{2,3,5,6,7}}=>5
[4,3,6,2,1,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,3,6,2,1,7,5]=>{{1,2,3,4,5,6,7}}=>7
[4,3,6,2,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>5
[4,3,6,2,5,7,1]=>{{1,2,3,4,6,7},{5}}=>6
[4,3,6,2,7,1,5]=>{{1,2,3,4,6},{5,7}}=>5
[4,3,6,2,7,5,1]=>{{1,2,3,4,5,6,7}}=>7
[4,3,6,5,1,2,7]=>{{1,4,5},{2,3,6},{7}}=>3
[4,3,6,5,1,7,2]=>{{1,4,5},{2,3,6,7}}=>4
[4,3,6,5,2,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,3,6,5,2,7,1]=>{{1,2,3,4,5,6,7}}=>7
[4,3,6,5,7,1,2]=>{{1,2,3,4,5,6,7}}=>7
[4,3,6,5,7,2,1]=>{{1,4,5,7},{2,3,6}}=>4
[4,3,6,7,1,2,5]=>{{1,4,5,7},{2,3,6}}=>4
[4,3,6,7,1,5,2]=>{{1,2,3,4,5,6,7}}=>7
[4,3,6,7,2,1,5]=>{{1,2,3,4,5,6,7}}=>7
[4,3,6,7,2,5,1]=>{{1,4,7},{2,3,5,6}}=>4
[4,3,6,7,5,1,2]=>{{1,2,3,4,6,7},{5}}=>6
[4,3,6,7,5,2,1]=>{{1,4,7},{2,3,6},{5}}=>3
[4,3,7,1,2,5,6]=>{{1,4},{2,3,5,6,7}}=>5
[4,3,7,1,2,6,5]=>{{1,4},{2,3,5,7},{6}}=>4
[4,3,7,1,5,2,6]=>{{1,4},{2,3,6,7},{5}}=>4
[4,3,7,1,5,6,2]=>{{1,4},{2,3,7},{5},{6}}=>3
[4,3,7,1,6,2,5]=>{{1,4},{2,3,5,6,7}}=>5
[4,3,7,1,6,5,2]=>{{1,4},{2,3,7},{5,6}}=>3
[4,3,7,2,1,5,6]=>{{1,2,3,4,5,6,7}}=>7
[4,3,7,2,1,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[4,3,7,2,5,1,6]=>{{1,2,3,4,6,7},{5}}=>6
[4,3,7,2,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>5
[4,3,7,2,6,1,5]=>{{1,2,3,4,5,6,7}}=>7
[4,3,7,2,6,5,1]=>{{1,2,3,4,7},{5,6}}=>5
[4,3,7,5,1,2,6]=>{{1,4,5},{2,3,6,7}}=>4
[4,3,7,5,1,6,2]=>{{1,4,5},{2,3,7},{6}}=>3
[4,3,7,5,2,1,6]=>{{1,2,3,4,5,6,7}}=>7
[4,3,7,5,2,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[4,3,7,5,6,1,2]=>{{1,4,5,6},{2,3,7}}=>4
[4,3,7,5,6,2,1]=>{{1,2,3,4,5,6,7}}=>7
[4,3,7,6,1,2,5]=>{{1,2,3,4,5,6,7}}=>7
[4,3,7,6,1,5,2]=>{{1,4,5,6},{2,3,7}}=>4
[4,3,7,6,2,1,5]=>{{1,4,6},{2,3,5,7}}=>4
[4,3,7,6,2,5,1]=>{{1,2,3,4,5,6,7}}=>7
[4,3,7,6,5,1,2]=>{{1,4,6},{2,3,7},{5}}=>3
[4,3,7,6,5,2,1]=>{{1,2,3,4,6,7},{5}}=>6
[4,5,1,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[4,5,1,2,3,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[4,5,1,2,6,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,5,1,2,6,7,3]=>{{1,2,3,4,5,6,7}}=>7
[4,5,1,2,7,3,6]=>{{1,2,3,4,5,6,7}}=>7
[4,5,1,2,7,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[4,5,1,3,2,6,7]=>{{1,3,4},{2,5},{6},{7}}=>3
[4,5,1,3,2,7,6]=>{{1,3,4},{2,5},{6,7}}=>3
[4,5,1,3,6,2,7]=>{{1,3,4},{2,5,6},{7}}=>3
[4,5,1,3,6,7,2]=>{{1,3,4},{2,5,6,7}}=>4
[4,5,1,3,7,2,6]=>{{1,3,4},{2,5,6,7}}=>4
[4,5,1,3,7,6,2]=>{{1,3,4},{2,5,7},{6}}=>3
[4,5,1,6,2,3,7]=>{{1,3,4,6},{2,5},{7}}=>4
[4,5,1,6,2,7,3]=>{{1,3,4,6,7},{2,5}}=>5
[4,5,1,6,3,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,5,1,6,3,7,2]=>{{1,2,3,4,5,6,7}}=>7
[4,5,1,6,7,2,3]=>{{1,2,3,4,5,6,7}}=>7
[4,5,1,6,7,3,2]=>{{1,3,4,6},{2,5,7}}=>4
[4,5,1,7,2,3,6]=>{{1,3,4,6,7},{2,5}}=>5
[4,5,1,7,2,6,3]=>{{1,3,4,7},{2,5},{6}}=>4
[4,5,1,7,3,2,6]=>{{1,2,3,4,5,6,7}}=>7
[4,5,1,7,3,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[4,5,1,7,6,2,3]=>{{1,3,4,7},{2,5,6}}=>4
[4,5,1,7,6,3,2]=>{{1,2,3,4,5,6,7}}=>7
[4,5,2,1,3,6,7]=>{{1,4},{2,3,5},{6},{7}}=>3
[4,5,2,1,3,7,6]=>{{1,4},{2,3,5},{6,7}}=>3
[4,5,2,1,6,3,7]=>{{1,4},{2,3,5,6},{7}}=>4
[4,5,2,1,6,7,3]=>{{1,4},{2,3,5,6,7}}=>5
[4,5,2,1,7,3,6]=>{{1,4},{2,3,5,6,7}}=>5
[4,5,2,1,7,6,3]=>{{1,4},{2,3,5,7},{6}}=>4
[4,5,2,3,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[4,5,2,3,1,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[4,5,2,3,6,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,5,2,3,6,7,1]=>{{1,2,3,4,5,6,7}}=>7
[4,5,2,3,7,1,6]=>{{1,2,3,4,5,6,7}}=>7
[4,5,2,3,7,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[4,5,2,6,1,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,5,2,6,1,7,3]=>{{1,2,3,4,5,6,7}}=>7
[4,5,2,6,3,1,7]=>{{1,4,6},{2,3,5},{7}}=>3
[4,5,2,6,3,7,1]=>{{1,4,6,7},{2,3,5}}=>4
[4,5,2,6,7,1,3]=>{{1,4,6},{2,3,5,7}}=>4
[4,5,2,6,7,3,1]=>{{1,2,3,4,5,6,7}}=>7
[4,5,2,7,1,3,6]=>{{1,2,3,4,5,6,7}}=>7
[4,5,2,7,1,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[4,5,2,7,3,1,6]=>{{1,4,6,7},{2,3,5}}=>4
[4,5,2,7,3,6,1]=>{{1,4,7},{2,3,5},{6}}=>3
[4,5,2,7,6,1,3]=>{{1,2,3,4,5,6,7}}=>7
[4,5,2,7,6,3,1]=>{{1,4,7},{2,3,5,6}}=>4
[4,5,3,1,2,6,7]=>{{1,4},{2,5},{3},{6},{7}}=>2
[4,5,3,1,2,7,6]=>{{1,4},{2,5},{3},{6,7}}=>2
[4,5,3,1,6,2,7]=>{{1,4},{2,5,6},{3},{7}}=>3
[4,5,3,1,6,7,2]=>{{1,4},{2,5,6,7},{3}}=>4
[4,5,3,1,7,2,6]=>{{1,4},{2,5,6,7},{3}}=>4
[4,5,3,1,7,6,2]=>{{1,4},{2,5,7},{3},{6}}=>3
[4,5,3,2,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>4
[4,5,3,2,1,7,6]=>{{1,2,4,5},{3},{6,7}}=>4
[4,5,3,2,6,1,7]=>{{1,2,4,5,6},{3},{7}}=>5
[4,5,3,2,6,7,1]=>{{1,2,4,5,6,7},{3}}=>6
[4,5,3,2,7,1,6]=>{{1,2,4,5,6,7},{3}}=>6
[4,5,3,2,7,6,1]=>{{1,2,4,5,7},{3},{6}}=>5
[4,5,3,6,1,2,7]=>{{1,2,4,5,6},{3},{7}}=>5
[4,5,3,6,1,7,2]=>{{1,2,4,5,6,7},{3}}=>6
[4,5,3,6,2,1,7]=>{{1,4,6},{2,5},{3},{7}}=>3
[4,5,3,6,2,7,1]=>{{1,4,6,7},{2,5},{3}}=>4
[4,5,3,6,7,1,2]=>{{1,4,6},{2,5,7},{3}}=>3
[4,5,3,6,7,2,1]=>{{1,2,4,5,6,7},{3}}=>6
[4,5,3,7,1,2,6]=>{{1,2,4,5,6,7},{3}}=>6
[4,5,3,7,1,6,2]=>{{1,2,4,5,7},{3},{6}}=>5
[4,5,3,7,2,1,6]=>{{1,4,6,7},{2,5},{3}}=>4
[4,5,3,7,2,6,1]=>{{1,4,7},{2,5},{3},{6}}=>3
[4,5,3,7,6,1,2]=>{{1,2,4,5,6,7},{3}}=>6
[4,5,3,7,6,2,1]=>{{1,4,7},{2,5,6},{3}}=>3
[4,5,6,1,2,3,7]=>{{1,4},{2,5},{3,6},{7}}=>2
[4,5,6,1,2,7,3]=>{{1,4},{2,5},{3,6,7}}=>3
[4,5,6,1,3,2,7]=>{{1,4},{2,3,5,6},{7}}=>4
[4,5,6,1,3,7,2]=>{{1,4},{2,3,5,6,7}}=>5
[4,5,6,1,7,2,3]=>{{1,4},{2,3,5,6,7}}=>5
[4,5,6,1,7,3,2]=>{{1,4},{2,5,7},{3,6}}=>3
[4,5,6,2,1,3,7]=>{{1,2,4,5},{3,6},{7}}=>4
[4,5,6,2,1,7,3]=>{{1,2,4,5},{3,6,7}}=>4
[4,5,6,2,3,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,5,6,2,3,7,1]=>{{1,2,3,4,5,6,7}}=>7
[4,5,6,2,7,1,3]=>{{1,2,3,4,5,6,7}}=>7
[4,5,6,2,7,3,1]=>{{1,2,4,5,7},{3,6}}=>5
[4,5,6,3,1,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,5,6,3,1,7,2]=>{{1,2,3,4,5,6,7}}=>7
[4,5,6,3,2,1,7]=>{{1,3,4,6},{2,5},{7}}=>4
[4,5,6,3,2,7,1]=>{{1,3,4,6,7},{2,5}}=>5
[4,5,6,3,7,1,2]=>{{1,3,4,6},{2,5,7}}=>4
[4,5,6,3,7,2,1]=>{{1,2,3,4,5,6,7}}=>7
[4,5,6,7,1,2,3]=>{{1,2,3,4,5,6,7}}=>7
[4,5,6,7,1,3,2]=>{{1,2,4,5,7},{3,6}}=>5
[4,5,6,7,2,1,3]=>{{1,3,4,6,7},{2,5}}=>5
[4,5,6,7,2,3,1]=>{{1,4,7},{2,5},{3,6}}=>3
[4,5,6,7,3,1,2]=>{{1,2,3,4,5,6,7}}=>7
[4,5,6,7,3,2,1]=>{{1,4,7},{2,3,5,6}}=>4
[4,5,7,1,2,3,6]=>{{1,4},{2,5},{3,6,7}}=>3
[4,5,7,1,2,6,3]=>{{1,4},{2,5},{3,7},{6}}=>2
[4,5,7,1,3,2,6]=>{{1,4},{2,3,5,6,7}}=>5
[4,5,7,1,3,6,2]=>{{1,4},{2,3,5,7},{6}}=>4
[4,5,7,1,6,2,3]=>{{1,4},{2,5,6},{3,7}}=>3
[4,5,7,1,6,3,2]=>{{1,4},{2,3,5,6,7}}=>5
[4,5,7,2,1,3,6]=>{{1,2,4,5},{3,6,7}}=>4
[4,5,7,2,1,6,3]=>{{1,2,4,5},{3,7},{6}}=>4
[4,5,7,2,3,1,6]=>{{1,2,3,4,5,6,7}}=>7
[4,5,7,2,3,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[4,5,7,2,6,1,3]=>{{1,2,4,5,6},{3,7}}=>5
[4,5,7,2,6,3,1]=>{{1,2,3,4,5,6,7}}=>7
[4,5,7,3,1,2,6]=>{{1,2,3,4,5,6,7}}=>7
[4,5,7,3,1,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[4,5,7,3,2,1,6]=>{{1,3,4,6,7},{2,5}}=>5
[4,5,7,3,2,6,1]=>{{1,3,4,7},{2,5},{6}}=>4
[4,5,7,3,6,1,2]=>{{1,2,3,4,5,6,7}}=>7
[4,5,7,3,6,2,1]=>{{1,3,4,7},{2,5,6}}=>4
[4,5,7,6,1,2,3]=>{{1,2,4,5,6},{3,7}}=>5
[4,5,7,6,1,3,2]=>{{1,2,3,4,5,6,7}}=>7
[4,5,7,6,2,1,3]=>{{1,4,6},{2,5},{3,7}}=>3
[4,5,7,6,2,3,1]=>{{1,3,4,6,7},{2,5}}=>5
[4,5,7,6,3,1,2]=>{{1,4,6},{2,3,5,7}}=>4
[4,5,7,6,3,2,1]=>{{1,2,3,4,5,6,7}}=>7
[4,6,1,2,3,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,6,1,2,3,7,5]=>{{1,2,3,4,5,6,7}}=>7
[4,6,1,2,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>5
[4,6,1,2,5,7,3]=>{{1,2,3,4,6,7},{5}}=>6
[4,6,1,2,7,3,5]=>{{1,2,3,4,6},{5,7}}=>5
[4,6,1,2,7,5,3]=>{{1,2,3,4,5,6,7}}=>7
[4,6,1,3,2,5,7]=>{{1,3,4},{2,5,6},{7}}=>3
[4,6,1,3,2,7,5]=>{{1,3,4},{2,5,6,7}}=>4
[4,6,1,3,5,2,7]=>{{1,3,4},{2,6},{5},{7}}=>3
[4,6,1,3,5,7,2]=>{{1,3,4},{2,6,7},{5}}=>3
[4,6,1,3,7,2,5]=>{{1,3,4},{2,6},{5,7}}=>3
[4,6,1,3,7,5,2]=>{{1,3,4},{2,5,6,7}}=>4
[4,6,1,5,2,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,6,1,5,2,7,3]=>{{1,2,3,4,5,6,7}}=>7
[4,6,1,5,3,2,7]=>{{1,3,4,5},{2,6},{7}}=>4
[4,6,1,5,3,7,2]=>{{1,3,4,5},{2,6,7}}=>4
[4,6,1,5,7,2,3]=>{{1,3,4,5,7},{2,6}}=>5
[4,6,1,5,7,3,2]=>{{1,2,3,4,5,6,7}}=>7
[4,6,1,7,2,3,5]=>{{1,2,3,4,5,6,7}}=>7
[4,6,1,7,2,5,3]=>{{1,3,4,7},{2,5,6}}=>4
[4,6,1,7,3,2,5]=>{{1,3,4,5,7},{2,6}}=>5
[4,6,1,7,3,5,2]=>{{1,2,3,4,5,6,7}}=>7
[4,6,1,7,5,2,3]=>{{1,3,4,7},{2,6},{5}}=>4
[4,6,1,7,5,3,2]=>{{1,2,3,4,6,7},{5}}=>6
[4,6,2,1,3,5,7]=>{{1,4},{2,3,5,6},{7}}=>4
[4,6,2,1,3,7,5]=>{{1,4},{2,3,5,6,7}}=>5
[4,6,2,1,5,3,7]=>{{1,4},{2,3,6},{5},{7}}=>3
[4,6,2,1,5,7,3]=>{{1,4},{2,3,6,7},{5}}=>4
[4,6,2,1,7,3,5]=>{{1,4},{2,3,6},{5,7}}=>3
[4,6,2,1,7,5,3]=>{{1,4},{2,3,5,6,7}}=>5
[4,6,2,3,1,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,6,2,3,1,7,5]=>{{1,2,3,4,5,6,7}}=>7
[4,6,2,3,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>5
[4,6,2,3,5,7,1]=>{{1,2,3,4,6,7},{5}}=>6
[4,6,2,3,7,1,5]=>{{1,2,3,4,6},{5,7}}=>5
[4,6,2,3,7,5,1]=>{{1,2,3,4,5,6,7}}=>7
[4,6,2,5,1,3,7]=>{{1,4,5},{2,3,6},{7}}=>3
[4,6,2,5,1,7,3]=>{{1,4,5},{2,3,6,7}}=>4
[4,6,2,5,3,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,6,2,5,3,7,1]=>{{1,2,3,4,5,6,7}}=>7
[4,6,2,5,7,1,3]=>{{1,2,3,4,5,6,7}}=>7
[4,6,2,5,7,3,1]=>{{1,4,5,7},{2,3,6}}=>4
[4,6,2,7,1,3,5]=>{{1,4,5,7},{2,3,6}}=>4
[4,6,2,7,1,5,3]=>{{1,2,3,4,5,6,7}}=>7
[4,6,2,7,3,1,5]=>{{1,2,3,4,5,6,7}}=>7
[4,6,2,7,3,5,1]=>{{1,4,7},{2,3,5,6}}=>4
[4,6,2,7,5,1,3]=>{{1,2,3,4,6,7},{5}}=>6
[4,6,2,7,5,3,1]=>{{1,4,7},{2,3,6},{5}}=>3
[4,6,3,1,2,5,7]=>{{1,4},{2,5,6},{3},{7}}=>3
[4,6,3,1,2,7,5]=>{{1,4},{2,5,6,7},{3}}=>4
[4,6,3,1,5,2,7]=>{{1,4},{2,6},{3},{5},{7}}=>2
[4,6,3,1,5,7,2]=>{{1,4},{2,6,7},{3},{5}}=>3
[4,6,3,1,7,2,5]=>{{1,4},{2,6},{3},{5,7}}=>2
[4,6,3,1,7,5,2]=>{{1,4},{2,5,6,7},{3}}=>4
[4,6,3,2,1,5,7]=>{{1,2,4,5,6},{3},{7}}=>5
[4,6,3,2,1,7,5]=>{{1,2,4,5,6,7},{3}}=>6
[4,6,3,2,5,1,7]=>{{1,2,4,6},{3},{5},{7}}=>4
[4,6,3,2,5,7,1]=>{{1,2,4,6,7},{3},{5}}=>5
[4,6,3,2,7,1,5]=>{{1,2,4,6},{3},{5,7}}=>4
[4,6,3,2,7,5,1]=>{{1,2,4,5,6,7},{3}}=>6
[4,6,3,5,1,2,7]=>{{1,4,5},{2,6},{3},{7}}=>3
[4,6,3,5,1,7,2]=>{{1,4,5},{2,6,7},{3}}=>3
[4,6,3,5,2,1,7]=>{{1,2,4,5,6},{3},{7}}=>5
[4,6,3,5,2,7,1]=>{{1,2,4,5,6,7},{3}}=>6
[4,6,3,5,7,1,2]=>{{1,2,4,5,6,7},{3}}=>6
[4,6,3,5,7,2,1]=>{{1,4,5,7},{2,6},{3}}=>4
[4,6,3,7,1,2,5]=>{{1,4,5,7},{2,6},{3}}=>4
[4,6,3,7,1,5,2]=>{{1,2,4,5,6,7},{3}}=>6
[4,6,3,7,2,1,5]=>{{1,2,4,5,6,7},{3}}=>6
[4,6,3,7,2,5,1]=>{{1,4,7},{2,5,6},{3}}=>3
[4,6,3,7,5,1,2]=>{{1,2,4,6,7},{3},{5}}=>5
[4,6,3,7,5,2,1]=>{{1,4,7},{2,6},{3},{5}}=>3
[4,6,5,1,2,3,7]=>{{1,4},{2,3,5,6},{7}}=>4
[4,6,5,1,2,7,3]=>{{1,4},{2,3,5,6,7}}=>5
[4,6,5,1,3,2,7]=>{{1,4},{2,6},{3,5},{7}}=>2
[4,6,5,1,3,7,2]=>{{1,4},{2,6,7},{3,5}}=>3
[4,6,5,1,7,2,3]=>{{1,4},{2,6},{3,5,7}}=>3
[4,6,5,1,7,3,2]=>{{1,4},{2,3,5,6,7}}=>5
[4,6,5,2,1,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,6,5,2,1,7,3]=>{{1,2,3,4,5,6,7}}=>7
[4,6,5,2,3,1,7]=>{{1,2,4,6},{3,5},{7}}=>4
[4,6,5,2,3,7,1]=>{{1,2,4,6,7},{3,5}}=>5
[4,6,5,2,7,1,3]=>{{1,2,4,6},{3,5,7}}=>4
[4,6,5,2,7,3,1]=>{{1,2,3,4,5,6,7}}=>7
[4,6,5,3,1,2,7]=>{{1,3,4,5},{2,6},{7}}=>4
[4,6,5,3,1,7,2]=>{{1,3,4,5},{2,6,7}}=>4
[4,6,5,3,2,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[4,6,5,3,2,7,1]=>{{1,2,3,4,5,6,7}}=>7
[4,6,5,3,7,1,2]=>{{1,2,3,4,5,6,7}}=>7
[4,6,5,3,7,2,1]=>{{1,3,4,5,7},{2,6}}=>5
[4,6,5,7,1,2,3]=>{{1,3,4,5,7},{2,6}}=>5
[4,6,5,7,1,3,2]=>{{1,2,3,4,5,6,7}}=>7
[4,6,5,7,2,1,3]=>{{1,2,3,4,5,6,7}}=>7
[4,6,5,7,2,3,1]=>{{1,4,7},{2,3,5,6}}=>4
[4,6,5,7,3,1,2]=>{{1,2,4,6,7},{3,5}}=>5
[4,6,5,7,3,2,1]=>{{1,4,7},{2,6},{3,5}}=>3
[4,6,7,1,2,3,5]=>{{1,4},{2,3,5,6,7}}=>5
[4,6,7,1,2,5,3]=>{{1,4},{2,5,6},{3,7}}=>3
[4,6,7,1,3,2,5]=>{{1,4},{2,6},{3,5,7}}=>3
[4,6,7,1,3,5,2]=>{{1,4},{2,3,5,6,7}}=>5
[4,6,7,1,5,2,3]=>{{1,4},{2,6},{3,7},{5}}=>2
[4,6,7,1,5,3,2]=>{{1,4},{2,3,6,7},{5}}=>4
[4,6,7,2,1,3,5]=>{{1,2,3,4,5,6,7}}=>7
[4,6,7,2,1,5,3]=>{{1,2,4,5,6},{3,7}}=>5
[4,6,7,2,3,1,5]=>{{1,2,4,6},{3,5,7}}=>4
[4,6,7,2,3,5,1]=>{{1,2,3,4,5,6,7}}=>7
[4,6,7,2,5,1,3]=>{{1,2,4,6},{3,7},{5}}=>4
[4,6,7,2,5,3,1]=>{{1,2,3,4,6,7},{5}}=>6
[4,6,7,3,1,2,5]=>{{1,3,4,5,7},{2,6}}=>5
[4,6,7,3,1,5,2]=>{{1,2,3,4,5,6,7}}=>7
[4,6,7,3,2,1,5]=>{{1,2,3,4,5,6,7}}=>7
[4,6,7,3,2,5,1]=>{{1,3,4,7},{2,5,6}}=>4
[4,6,7,3,5,1,2]=>{{1,2,3,4,6,7},{5}}=>6
[4,6,7,3,5,2,1]=>{{1,3,4,7},{2,6},{5}}=>4
[4,6,7,5,1,2,3]=>{{1,4,5},{2,6},{3,7}}=>3
[4,6,7,5,1,3,2]=>{{1,4,5},{2,3,6,7}}=>4
[4,6,7,5,2,1,3]=>{{1,2,4,5,6},{3,7}}=>5
[4,6,7,5,2,3,1]=>{{1,2,3,4,5,6,7}}=>7
[4,6,7,5,3,1,2]=>{{1,2,3,4,5,6,7}}=>7
[4,6,7,5,3,2,1]=>{{1,3,4,5,7},{2,6}}=>5
[4,7,1,2,3,5,6]=>{{1,2,3,4,5,6,7}}=>7
[4,7,1,2,3,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[4,7,1,2,5,3,6]=>{{1,2,3,4,6,7},{5}}=>6
[4,7,1,2,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>5
[4,7,1,2,6,3,5]=>{{1,2,3,4,5,6,7}}=>7
[4,7,1,2,6,5,3]=>{{1,2,3,4,7},{5,6}}=>5
[4,7,1,3,2,5,6]=>{{1,3,4},{2,5,6,7}}=>4
[4,7,1,3,2,6,5]=>{{1,3,4},{2,5,7},{6}}=>3
[4,7,1,3,5,2,6]=>{{1,3,4},{2,6,7},{5}}=>3
[4,7,1,3,5,6,2]=>{{1,3,4},{2,7},{5},{6}}=>3
[4,7,1,3,6,2,5]=>{{1,3,4},{2,5,6,7}}=>4
[4,7,1,3,6,5,2]=>{{1,3,4},{2,7},{5,6}}=>3
[4,7,1,5,2,3,6]=>{{1,2,3,4,5,6,7}}=>7
[4,7,1,5,2,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[4,7,1,5,3,2,6]=>{{1,3,4,5},{2,6,7}}=>4
[4,7,1,5,3,6,2]=>{{1,3,4,5},{2,7},{6}}=>4
[4,7,1,5,6,2,3]=>{{1,2,3,4,5,6,7}}=>7
[4,7,1,5,6,3,2]=>{{1,3,4,5,6},{2,7}}=>5
[4,7,1,6,2,3,5]=>{{1,3,4,6},{2,5,7}}=>4
[4,7,1,6,2,5,3]=>{{1,2,3,4,5,6,7}}=>7
[4,7,1,6,3,2,5]=>{{1,2,3,4,5,6,7}}=>7
[4,7,1,6,3,5,2]=>{{1,3,4,5,6},{2,7}}=>5
[4,7,1,6,5,2,3]=>{{1,2,3,4,6,7},{5}}=>6
[4,7,1,6,5,3,2]=>{{1,3,4,6},{2,7},{5}}=>4
[4,7,2,1,3,5,6]=>{{1,4},{2,3,5,6,7}}=>5
[4,7,2,1,3,6,5]=>{{1,4},{2,3,5,7},{6}}=>4
[4,7,2,1,5,3,6]=>{{1,4},{2,3,6,7},{5}}=>4
[4,7,2,1,5,6,3]=>{{1,4},{2,3,7},{5},{6}}=>3
[4,7,2,1,6,3,5]=>{{1,4},{2,3,5,6,7}}=>5
[4,7,2,1,6,5,3]=>{{1,4},{2,3,7},{5,6}}=>3
[4,7,2,3,1,5,6]=>{{1,2,3,4,5,6,7}}=>7
[4,7,2,3,1,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[4,7,2,3,5,1,6]=>{{1,2,3,4,6,7},{5}}=>6
[4,7,2,3,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>5
[4,7,2,3,6,1,5]=>{{1,2,3,4,5,6,7}}=>7
[4,7,2,3,6,5,1]=>{{1,2,3,4,7},{5,6}}=>5
[4,7,2,5,1,3,6]=>{{1,4,5},{2,3,6,7}}=>4
[4,7,2,5,1,6,3]=>{{1,4,5},{2,3,7},{6}}=>3
[4,7,2,5,3,1,6]=>{{1,2,3,4,5,6,7}}=>7
[4,7,2,5,3,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[4,7,2,5,6,1,3]=>{{1,4,5,6},{2,3,7}}=>4
[4,7,2,5,6,3,1]=>{{1,2,3,4,5,6,7}}=>7
[4,7,2,6,1,3,5]=>{{1,2,3,4,5,6,7}}=>7
[4,7,2,6,1,5,3]=>{{1,4,5,6},{2,3,7}}=>4
[4,7,2,6,3,1,5]=>{{1,4,6},{2,3,5,7}}=>4
[4,7,2,6,3,5,1]=>{{1,2,3,4,5,6,7}}=>7
[4,7,2,6,5,1,3]=>{{1,4,6},{2,3,7},{5}}=>3
[4,7,2,6,5,3,1]=>{{1,2,3,4,6,7},{5}}=>6
[4,7,3,1,2,5,6]=>{{1,4},{2,5,6,7},{3}}=>4
[4,7,3,1,2,6,5]=>{{1,4},{2,5,7},{3},{6}}=>3
[4,7,3,1,5,2,6]=>{{1,4},{2,6,7},{3},{5}}=>3
[4,7,3,1,5,6,2]=>{{1,4},{2,7},{3},{5},{6}}=>2
[4,7,3,1,6,2,5]=>{{1,4},{2,5,6,7},{3}}=>4
[4,7,3,1,6,5,2]=>{{1,4},{2,7},{3},{5,6}}=>2
[4,7,3,2,1,5,6]=>{{1,2,4,5,6,7},{3}}=>6
[4,7,3,2,1,6,5]=>{{1,2,4,5,7},{3},{6}}=>5
[4,7,3,2,5,1,6]=>{{1,2,4,6,7},{3},{5}}=>5
[4,7,3,2,5,6,1]=>{{1,2,4,7},{3},{5},{6}}=>4
[4,7,3,2,6,1,5]=>{{1,2,4,5,6,7},{3}}=>6
[4,7,3,2,6,5,1]=>{{1,2,4,7},{3},{5,6}}=>4
[4,7,3,5,1,2,6]=>{{1,4,5},{2,6,7},{3}}=>3
[4,7,3,5,1,6,2]=>{{1,4,5},{2,7},{3},{6}}=>3
[4,7,3,5,2,1,6]=>{{1,2,4,5,6,7},{3}}=>6
[4,7,3,5,2,6,1]=>{{1,2,4,5,7},{3},{6}}=>5
[4,7,3,5,6,1,2]=>{{1,4,5,6},{2,7},{3}}=>4
[4,7,3,5,6,2,1]=>{{1,2,4,5,6,7},{3}}=>6
[4,7,3,6,1,2,5]=>{{1,2,4,5,6,7},{3}}=>6
[4,7,3,6,1,5,2]=>{{1,4,5,6},{2,7},{3}}=>4
[4,7,3,6,2,1,5]=>{{1,4,6},{2,5,7},{3}}=>3
[4,7,3,6,2,5,1]=>{{1,2,4,5,6,7},{3}}=>6
[4,7,3,6,5,1,2]=>{{1,4,6},{2,7},{3},{5}}=>3
[4,7,3,6,5,2,1]=>{{1,2,4,6,7},{3},{5}}=>5
[4,7,5,1,2,3,6]=>{{1,4},{2,3,5,6,7}}=>5
[4,7,5,1,2,6,3]=>{{1,4},{2,3,5,7},{6}}=>4
[4,7,5,1,3,2,6]=>{{1,4},{2,6,7},{3,5}}=>3
[4,7,5,1,3,6,2]=>{{1,4},{2,7},{3,5},{6}}=>2
[4,7,5,1,6,2,3]=>{{1,4},{2,3,5,6,7}}=>5
[4,7,5,1,6,3,2]=>{{1,4},{2,7},{3,5,6}}=>3
[4,7,5,2,1,3,6]=>{{1,2,3,4,5,6,7}}=>7
[4,7,5,2,1,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[4,7,5,2,3,1,6]=>{{1,2,4,6,7},{3,5}}=>5
[4,7,5,2,3,6,1]=>{{1,2,4,7},{3,5},{6}}=>4
[4,7,5,2,6,1,3]=>{{1,2,3,4,5,6,7}}=>7
[4,7,5,2,6,3,1]=>{{1,2,4,7},{3,5,6}}=>4
[4,7,5,3,1,2,6]=>{{1,3,4,5},{2,6,7}}=>4
[4,7,5,3,1,6,2]=>{{1,3,4,5},{2,7},{6}}=>4
[4,7,5,3,2,1,6]=>{{1,2,3,4,5,6,7}}=>7
[4,7,5,3,2,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[4,7,5,3,6,1,2]=>{{1,3,4,5,6},{2,7}}=>5
[4,7,5,3,6,2,1]=>{{1,2,3,4,5,6,7}}=>7
[4,7,5,6,1,2,3]=>{{1,2,3,4,5,6,7}}=>7
[4,7,5,6,1,3,2]=>{{1,3,4,5,6},{2,7}}=>5
[4,7,5,6,2,1,3]=>{{1,4,6},{2,3,5,7}}=>4
[4,7,5,6,2,3,1]=>{{1,2,3,4,5,6,7}}=>7
[4,7,5,6,3,1,2]=>{{1,4,6},{2,7},{3,5}}=>3
[4,7,5,6,3,2,1]=>{{1,2,4,6,7},{3,5}}=>5
[4,7,6,1,2,3,5]=>{{1,4},{2,5,7},{3,6}}=>3
[4,7,6,1,2,5,3]=>{{1,4},{2,3,5,6,7}}=>5
[4,7,6,1,3,2,5]=>{{1,4},{2,3,5,6,7}}=>5
[4,7,6,1,3,5,2]=>{{1,4},{2,7},{3,5,6}}=>3
[4,7,6,1,5,2,3]=>{{1,4},{2,3,6,7},{5}}=>4
[4,7,6,1,5,3,2]=>{{1,4},{2,7},{3,6},{5}}=>2
[4,7,6,2,1,3,5]=>{{1,2,4,5,7},{3,6}}=>5
[4,7,6,2,1,5,3]=>{{1,2,3,4,5,6,7}}=>7
[4,7,6,2,3,1,5]=>{{1,2,3,4,5,6,7}}=>7
[4,7,6,2,3,5,1]=>{{1,2,4,7},{3,5,6}}=>4
[4,7,6,2,5,1,3]=>{{1,2,3,4,6,7},{5}}=>6
[4,7,6,2,5,3,1]=>{{1,2,4,7},{3,6},{5}}=>4
[4,7,6,3,1,2,5]=>{{1,2,3,4,5,6,7}}=>7
[4,7,6,3,1,5,2]=>{{1,3,4,5,6},{2,7}}=>5
[4,7,6,3,2,1,5]=>{{1,3,4,6},{2,5,7}}=>4
[4,7,6,3,2,5,1]=>{{1,2,3,4,5,6,7}}=>7
[4,7,6,3,5,1,2]=>{{1,3,4,6},{2,7},{5}}=>4
[4,7,6,3,5,2,1]=>{{1,2,3,4,6,7},{5}}=>6
[4,7,6,5,1,2,3]=>{{1,4,5},{2,3,6,7}}=>4
[4,7,6,5,1,3,2]=>{{1,4,5},{2,7},{3,6}}=>3
[4,7,6,5,2,1,3]=>{{1,2,3,4,5,6,7}}=>7
[4,7,6,5,2,3,1]=>{{1,2,4,5,7},{3,6}}=>5
[4,7,6,5,3,1,2]=>{{1,3,4,5,6},{2,7}}=>5
[4,7,6,5,3,2,1]=>{{1,2,3,4,5,6,7}}=>7
[5,1,2,3,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[5,1,2,3,4,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[5,1,2,3,6,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,1,2,3,6,7,4]=>{{1,2,3,4,5,6,7}}=>7
[5,1,2,3,7,4,6]=>{{1,2,3,4,5,6,7}}=>7
[5,1,2,3,7,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[5,1,2,4,3,6,7]=>{{1,2,3,5},{4},{6},{7}}=>4
[5,1,2,4,3,7,6]=>{{1,2,3,5},{4},{6,7}}=>4
[5,1,2,4,6,3,7]=>{{1,2,3,5,6},{4},{7}}=>5
[5,1,2,4,6,7,3]=>{{1,2,3,5,6,7},{4}}=>6
[5,1,2,4,7,3,6]=>{{1,2,3,5,6,7},{4}}=>6
[5,1,2,4,7,6,3]=>{{1,2,3,5,7},{4},{6}}=>5
[5,1,2,6,3,4,7]=>{{1,2,3,5},{4,6},{7}}=>4
[5,1,2,6,3,7,4]=>{{1,2,3,5},{4,6,7}}=>4
[5,1,2,6,4,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,1,2,6,4,7,3]=>{{1,2,3,4,5,6,7}}=>7
[5,1,2,6,7,3,4]=>{{1,2,3,4,5,6,7}}=>7
[5,1,2,6,7,4,3]=>{{1,2,3,5,7},{4,6}}=>5
[5,1,2,7,3,4,6]=>{{1,2,3,5},{4,6,7}}=>4
[5,1,2,7,3,6,4]=>{{1,2,3,5},{4,7},{6}}=>4
[5,1,2,7,4,3,6]=>{{1,2,3,4,5,6,7}}=>7
[5,1,2,7,4,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[5,1,2,7,6,3,4]=>{{1,2,3,5,6},{4,7}}=>5
[5,1,2,7,6,4,3]=>{{1,2,3,4,5,6,7}}=>7
[5,1,3,2,4,6,7]=>{{1,2,4,5},{3},{6},{7}}=>4
[5,1,3,2,4,7,6]=>{{1,2,4,5},{3},{6,7}}=>4
[5,1,3,2,6,4,7]=>{{1,2,4,5,6},{3},{7}}=>5
[5,1,3,2,6,7,4]=>{{1,2,4,5,6,7},{3}}=>6
[5,1,3,2,7,4,6]=>{{1,2,4,5,6,7},{3}}=>6
[5,1,3,2,7,6,4]=>{{1,2,4,5,7},{3},{6}}=>5
[5,1,3,4,2,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>3
[5,1,3,4,2,7,6]=>{{1,2,5},{3},{4},{6,7}}=>3
[5,1,3,4,6,2,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[5,1,3,4,6,7,2]=>{{1,2,5,6,7},{3},{4}}=>5
[5,1,3,4,7,2,6]=>{{1,2,5,6,7},{3},{4}}=>5
[5,1,3,4,7,6,2]=>{{1,2,5,7},{3},{4},{6}}=>4
[5,1,3,6,2,4,7]=>{{1,2,5},{3},{4,6},{7}}=>3
[5,1,3,6,2,7,4]=>{{1,2,5},{3},{4,6,7}}=>3
[5,1,3,6,4,2,7]=>{{1,2,4,5,6},{3},{7}}=>5
[5,1,3,6,4,7,2]=>{{1,2,4,5,6,7},{3}}=>6
[5,1,3,6,7,2,4]=>{{1,2,4,5,6,7},{3}}=>6
[5,1,3,6,7,4,2]=>{{1,2,5,7},{3},{4,6}}=>4
[5,1,3,7,2,4,6]=>{{1,2,5},{3},{4,6,7}}=>3
[5,1,3,7,2,6,4]=>{{1,2,5},{3},{4,7},{6}}=>3
[5,1,3,7,4,2,6]=>{{1,2,4,5,6,7},{3}}=>6
[5,1,3,7,4,6,2]=>{{1,2,4,5,7},{3},{6}}=>5
[5,1,3,7,6,2,4]=>{{1,2,5,6},{3},{4,7}}=>4
[5,1,3,7,6,4,2]=>{{1,2,4,5,6,7},{3}}=>6
[5,1,4,2,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[5,1,4,2,3,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[5,1,4,2,6,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,1,4,2,6,7,3]=>{{1,2,3,4,5,6,7}}=>7
[5,1,4,2,7,3,6]=>{{1,2,3,4,5,6,7}}=>7
[5,1,4,2,7,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[5,1,4,3,2,6,7]=>{{1,2,5},{3,4},{6},{7}}=>3
[5,1,4,3,2,7,6]=>{{1,2,5},{3,4},{6,7}}=>3
[5,1,4,3,6,2,7]=>{{1,2,5,6},{3,4},{7}}=>4
[5,1,4,3,6,7,2]=>{{1,2,5,6,7},{3,4}}=>5
[5,1,4,3,7,2,6]=>{{1,2,5,6,7},{3,4}}=>5
[5,1,4,3,7,6,2]=>{{1,2,5,7},{3,4},{6}}=>4
[5,1,4,6,2,3,7]=>{{1,2,5},{3,4,6},{7}}=>3
[5,1,4,6,2,7,3]=>{{1,2,5},{3,4,6,7}}=>4
[5,1,4,6,3,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,1,4,6,3,7,2]=>{{1,2,3,4,5,6,7}}=>7
[5,1,4,6,7,2,3]=>{{1,2,3,4,5,6,7}}=>7
[5,1,4,6,7,3,2]=>{{1,2,5,7},{3,4,6}}=>4
[5,1,4,7,2,3,6]=>{{1,2,5},{3,4,6,7}}=>4
[5,1,4,7,2,6,3]=>{{1,2,5},{3,4,7},{6}}=>3
[5,1,4,7,3,2,6]=>{{1,2,3,4,5,6,7}}=>7
[5,1,4,7,3,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[5,1,4,7,6,2,3]=>{{1,2,5,6},{3,4,7}}=>4
[5,1,4,7,6,3,2]=>{{1,2,3,4,5,6,7}}=>7
[5,1,6,2,3,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,1,6,2,3,7,4]=>{{1,2,3,4,5,6,7}}=>7
[5,1,6,2,4,3,7]=>{{1,2,4,5},{3,6},{7}}=>4
[5,1,6,2,4,7,3]=>{{1,2,4,5},{3,6,7}}=>4
[5,1,6,2,7,3,4]=>{{1,2,4,5,7},{3,6}}=>5
[5,1,6,2,7,4,3]=>{{1,2,3,4,5,6,7}}=>7
[5,1,6,3,2,4,7]=>{{1,2,5},{3,4,6},{7}}=>3
[5,1,6,3,2,7,4]=>{{1,2,5},{3,4,6,7}}=>4
[5,1,6,3,4,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,1,6,3,4,7,2]=>{{1,2,3,4,5,6,7}}=>7
[5,1,6,3,7,2,4]=>{{1,2,3,4,5,6,7}}=>7
[5,1,6,3,7,4,2]=>{{1,2,5,7},{3,4,6}}=>4
[5,1,6,4,2,3,7]=>{{1,2,5},{3,6},{4},{7}}=>3
[5,1,6,4,2,7,3]=>{{1,2,5},{3,6,7},{4}}=>3
[5,1,6,4,3,2,7]=>{{1,2,3,5,6},{4},{7}}=>5
[5,1,6,4,3,7,2]=>{{1,2,3,5,6,7},{4}}=>6
[5,1,6,4,7,2,3]=>{{1,2,3,5,6,7},{4}}=>6
[5,1,6,4,7,3,2]=>{{1,2,5,7},{3,6},{4}}=>4
[5,1,6,7,2,3,4]=>{{1,2,5},{3,6},{4,7}}=>3
[5,1,6,7,2,4,3]=>{{1,2,5},{3,4,6,7}}=>4
[5,1,6,7,3,2,4]=>{{1,2,3,5,6},{4,7}}=>5
[5,1,6,7,3,4,2]=>{{1,2,3,4,5,6,7}}=>7
[5,1,6,7,4,2,3]=>{{1,2,3,4,5,6,7}}=>7
[5,1,6,7,4,3,2]=>{{1,2,4,5,7},{3,6}}=>5
[5,1,7,2,3,4,6]=>{{1,2,3,4,5,6,7}}=>7
[5,1,7,2,3,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[5,1,7,2,4,3,6]=>{{1,2,4,5},{3,6,7}}=>4
[5,1,7,2,4,6,3]=>{{1,2,4,5},{3,7},{6}}=>4
[5,1,7,2,6,3,4]=>{{1,2,3,4,5,6,7}}=>7
[5,1,7,2,6,4,3]=>{{1,2,4,5,6},{3,7}}=>5
[5,1,7,3,2,4,6]=>{{1,2,5},{3,4,6,7}}=>4
[5,1,7,3,2,6,4]=>{{1,2,5},{3,4,7},{6}}=>3
[5,1,7,3,4,2,6]=>{{1,2,3,4,5,6,7}}=>7
[5,1,7,3,4,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[5,1,7,3,6,2,4]=>{{1,2,5,6},{3,4,7}}=>4
[5,1,7,3,6,4,2]=>{{1,2,3,4,5,6,7}}=>7
[5,1,7,4,2,3,6]=>{{1,2,5},{3,6,7},{4}}=>3
[5,1,7,4,2,6,3]=>{{1,2,5},{3,7},{4},{6}}=>3
[5,1,7,4,3,2,6]=>{{1,2,3,5,6,7},{4}}=>6
[5,1,7,4,3,6,2]=>{{1,2,3,5,7},{4},{6}}=>5
[5,1,7,4,6,2,3]=>{{1,2,5,6},{3,7},{4}}=>4
[5,1,7,4,6,3,2]=>{{1,2,3,5,6,7},{4}}=>6
[5,1,7,6,2,3,4]=>{{1,2,5},{3,4,6,7}}=>4
[5,1,7,6,2,4,3]=>{{1,2,5},{3,7},{4,6}}=>3
[5,1,7,6,3,2,4]=>{{1,2,3,4,5,6,7}}=>7
[5,1,7,6,3,4,2]=>{{1,2,3,5,7},{4,6}}=>5
[5,1,7,6,4,2,3]=>{{1,2,4,5,6},{3,7}}=>5
[5,1,7,6,4,3,2]=>{{1,2,3,4,5,6,7}}=>7
[5,2,1,3,4,6,7]=>{{1,3,4,5},{2},{6},{7}}=>4
[5,2,1,3,4,7,6]=>{{1,3,4,5},{2},{6,7}}=>4
[5,2,1,3,6,4,7]=>{{1,3,4,5,6},{2},{7}}=>5
[5,2,1,3,6,7,4]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,1,3,7,4,6]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,1,3,7,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[5,2,1,4,3,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>3
[5,2,1,4,3,7,6]=>{{1,3,5},{2},{4},{6,7}}=>3
[5,2,1,4,6,3,7]=>{{1,3,5,6},{2},{4},{7}}=>4
[5,2,1,4,6,7,3]=>{{1,3,5,6,7},{2},{4}}=>5
[5,2,1,4,7,3,6]=>{{1,3,5,6,7},{2},{4}}=>5
[5,2,1,4,7,6,3]=>{{1,3,5,7},{2},{4},{6}}=>4
[5,2,1,6,3,4,7]=>{{1,3,5},{2},{4,6},{7}}=>3
[5,2,1,6,3,7,4]=>{{1,3,5},{2},{4,6,7}}=>3
[5,2,1,6,4,3,7]=>{{1,3,4,5,6},{2},{7}}=>5
[5,2,1,6,4,7,3]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,1,6,7,3,4]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,1,6,7,4,3]=>{{1,3,5,7},{2},{4,6}}=>4
[5,2,1,7,3,4,6]=>{{1,3,5},{2},{4,6,7}}=>3
[5,2,1,7,3,6,4]=>{{1,3,5},{2},{4,7},{6}}=>3
[5,2,1,7,4,3,6]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,1,7,4,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[5,2,1,7,6,3,4]=>{{1,3,5,6},{2},{4,7}}=>4
[5,2,1,7,6,4,3]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,3,1,4,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>3
[5,2,3,1,4,7,6]=>{{1,4,5},{2},{3},{6,7}}=>3
[5,2,3,1,6,4,7]=>{{1,4,5,6},{2},{3},{7}}=>4
[5,2,3,1,6,7,4]=>{{1,4,5,6,7},{2},{3}}=>5
[5,2,3,1,7,4,6]=>{{1,4,5,6,7},{2},{3}}=>5
[5,2,3,1,7,6,4]=>{{1,4,5,7},{2},{3},{6}}=>4
[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>2
[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>2
[5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}}=>3
[5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}}=>4
[5,2,3,4,7,1,6]=>{{1,5,6,7},{2},{3},{4}}=>4
[5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}}=>3
[5,2,3,6,1,4,7]=>{{1,5},{2},{3},{4,6},{7}}=>2
[5,2,3,6,1,7,4]=>{{1,5},{2},{3},{4,6,7}}=>3
[5,2,3,6,4,1,7]=>{{1,4,5,6},{2},{3},{7}}=>4
[5,2,3,6,4,7,1]=>{{1,4,5,6,7},{2},{3}}=>5
[5,2,3,6,7,1,4]=>{{1,4,5,6,7},{2},{3}}=>5
[5,2,3,6,7,4,1]=>{{1,5,7},{2},{3},{4,6}}=>3
[5,2,3,7,1,4,6]=>{{1,5},{2},{3},{4,6,7}}=>3
[5,2,3,7,1,6,4]=>{{1,5},{2},{3},{4,7},{6}}=>2
[5,2,3,7,4,1,6]=>{{1,4,5,6,7},{2},{3}}=>5
[5,2,3,7,4,6,1]=>{{1,4,5,7},{2},{3},{6}}=>4
[5,2,3,7,6,1,4]=>{{1,5,6},{2},{3},{4,7}}=>3
[5,2,3,7,6,4,1]=>{{1,4,5,6,7},{2},{3}}=>5
[5,2,4,1,3,6,7]=>{{1,3,4,5},{2},{6},{7}}=>4
[5,2,4,1,3,7,6]=>{{1,3,4,5},{2},{6,7}}=>4
[5,2,4,1,6,3,7]=>{{1,3,4,5,6},{2},{7}}=>5
[5,2,4,1,6,7,3]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,4,1,7,3,6]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,4,1,7,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>2
[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>2
[5,2,4,3,6,1,7]=>{{1,5,6},{2},{3,4},{7}}=>3
[5,2,4,3,6,7,1]=>{{1,5,6,7},{2},{3,4}}=>4
[5,2,4,3,7,1,6]=>{{1,5,6,7},{2},{3,4}}=>4
[5,2,4,3,7,6,1]=>{{1,5,7},{2},{3,4},{6}}=>3
[5,2,4,6,1,3,7]=>{{1,5},{2},{3,4,6},{7}}=>3
[5,2,4,6,1,7,3]=>{{1,5},{2},{3,4,6,7}}=>4
[5,2,4,6,3,1,7]=>{{1,3,4,5,6},{2},{7}}=>5
[5,2,4,6,3,7,1]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,4,6,7,1,3]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,4,6,7,3,1]=>{{1,5,7},{2},{3,4,6}}=>3
[5,2,4,7,1,3,6]=>{{1,5},{2},{3,4,6,7}}=>4
[5,2,4,7,1,6,3]=>{{1,5},{2},{3,4,7},{6}}=>3
[5,2,4,7,3,1,6]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,4,7,3,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[5,2,4,7,6,1,3]=>{{1,5,6},{2},{3,4,7}}=>3
[5,2,4,7,6,3,1]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,6,1,3,4,7]=>{{1,3,4,5,6},{2},{7}}=>5
[5,2,6,1,3,7,4]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,6,1,4,3,7]=>{{1,4,5},{2},{3,6},{7}}=>3
[5,2,6,1,4,7,3]=>{{1,4,5},{2},{3,6,7}}=>3
[5,2,6,1,7,3,4]=>{{1,4,5,7},{2},{3,6}}=>4
[5,2,6,1,7,4,3]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,6,3,1,4,7]=>{{1,5},{2},{3,4,6},{7}}=>3
[5,2,6,3,1,7,4]=>{{1,5},{2},{3,4,6,7}}=>4
[5,2,6,3,4,1,7]=>{{1,3,4,5,6},{2},{7}}=>5
[5,2,6,3,4,7,1]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,6,3,7,1,4]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,6,3,7,4,1]=>{{1,5,7},{2},{3,4,6}}=>3
[5,2,6,4,1,3,7]=>{{1,5},{2},{3,6},{4},{7}}=>2
[5,2,6,4,1,7,3]=>{{1,5},{2},{3,6,7},{4}}=>3
[5,2,6,4,3,1,7]=>{{1,3,5,6},{2},{4},{7}}=>4
[5,2,6,4,3,7,1]=>{{1,3,5,6,7},{2},{4}}=>5
[5,2,6,4,7,1,3]=>{{1,3,5,6,7},{2},{4}}=>5
[5,2,6,4,7,3,1]=>{{1,5,7},{2},{3,6},{4}}=>3
[5,2,6,7,1,3,4]=>{{1,5},{2},{3,6},{4,7}}=>2
[5,2,6,7,1,4,3]=>{{1,5},{2},{3,4,6,7}}=>4
[5,2,6,7,3,1,4]=>{{1,3,5,6},{2},{4,7}}=>4
[5,2,6,7,3,4,1]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,6,7,4,1,3]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,6,7,4,3,1]=>{{1,4,5,7},{2},{3,6}}=>4
[5,2,7,1,3,4,6]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,7,1,3,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[5,2,7,1,4,3,6]=>{{1,4,5},{2},{3,6,7}}=>3
[5,2,7,1,4,6,3]=>{{1,4,5},{2},{3,7},{6}}=>3
[5,2,7,1,6,3,4]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,7,1,6,4,3]=>{{1,4,5,6},{2},{3,7}}=>4
[5,2,7,3,1,4,6]=>{{1,5},{2},{3,4,6,7}}=>4
[5,2,7,3,1,6,4]=>{{1,5},{2},{3,4,7},{6}}=>3
[5,2,7,3,4,1,6]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,7,3,4,6,1]=>{{1,3,4,5,7},{2},{6}}=>5
[5,2,7,3,6,1,4]=>{{1,5,6},{2},{3,4,7}}=>3
[5,2,7,3,6,4,1]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,7,4,1,3,6]=>{{1,5},{2},{3,6,7},{4}}=>3
[5,2,7,4,1,6,3]=>{{1,5},{2},{3,7},{4},{6}}=>2
[5,2,7,4,3,1,6]=>{{1,3,5,6,7},{2},{4}}=>5
[5,2,7,4,3,6,1]=>{{1,3,5,7},{2},{4},{6}}=>4
[5,2,7,4,6,1,3]=>{{1,5,6},{2},{3,7},{4}}=>3
[5,2,7,4,6,3,1]=>{{1,3,5,6,7},{2},{4}}=>5
[5,2,7,6,1,3,4]=>{{1,5},{2},{3,4,6,7}}=>4
[5,2,7,6,1,4,3]=>{{1,5},{2},{3,7},{4,6}}=>2
[5,2,7,6,3,1,4]=>{{1,3,4,5,6,7},{2}}=>6
[5,2,7,6,3,4,1]=>{{1,3,5,7},{2},{4,6}}=>4
[5,2,7,6,4,1,3]=>{{1,4,5,6},{2},{3,7}}=>4
[5,2,7,6,4,3,1]=>{{1,3,4,5,6,7},{2}}=>6
[5,3,1,2,4,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[5,3,1,2,4,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[5,3,1,2,6,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,3,1,2,6,7,4]=>{{1,2,3,4,5,6,7}}=>7
[5,3,1,2,7,4,6]=>{{1,2,3,4,5,6,7}}=>7
[5,3,1,2,7,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[5,3,1,4,2,6,7]=>{{1,2,3,5},{4},{6},{7}}=>4
[5,3,1,4,2,7,6]=>{{1,2,3,5},{4},{6,7}}=>4
[5,3,1,4,6,2,7]=>{{1,2,3,5,6},{4},{7}}=>5
[5,3,1,4,6,7,2]=>{{1,2,3,5,6,7},{4}}=>6
[5,3,1,4,7,2,6]=>{{1,2,3,5,6,7},{4}}=>6
[5,3,1,4,7,6,2]=>{{1,2,3,5,7},{4},{6}}=>5
[5,3,1,6,2,4,7]=>{{1,2,3,5},{4,6},{7}}=>4
[5,3,1,6,2,7,4]=>{{1,2,3,5},{4,6,7}}=>4
[5,3,1,6,4,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,3,1,6,4,7,2]=>{{1,2,3,4,5,6,7}}=>7
[5,3,1,6,7,2,4]=>{{1,2,3,4,5,6,7}}=>7
[5,3,1,6,7,4,2]=>{{1,2,3,5,7},{4,6}}=>5
[5,3,1,7,2,4,6]=>{{1,2,3,5},{4,6,7}}=>4
[5,3,1,7,2,6,4]=>{{1,2,3,5},{4,7},{6}}=>4
[5,3,1,7,4,2,6]=>{{1,2,3,4,5,6,7}}=>7
[5,3,1,7,4,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[5,3,1,7,6,2,4]=>{{1,2,3,5,6},{4,7}}=>5
[5,3,1,7,6,4,2]=>{{1,2,3,4,5,6,7}}=>7
[5,3,2,1,4,6,7]=>{{1,4,5},{2,3},{6},{7}}=>3
[5,3,2,1,4,7,6]=>{{1,4,5},{2,3},{6,7}}=>3
[5,3,2,1,6,4,7]=>{{1,4,5,6},{2,3},{7}}=>4
[5,3,2,1,6,7,4]=>{{1,4,5,6,7},{2,3}}=>5
[5,3,2,1,7,4,6]=>{{1,4,5,6,7},{2,3}}=>5
[5,3,2,1,7,6,4]=>{{1,4,5,7},{2,3},{6}}=>4
[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>2
[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>2
[5,3,2,4,6,1,7]=>{{1,5,6},{2,3},{4},{7}}=>3
[5,3,2,4,6,7,1]=>{{1,5,6,7},{2,3},{4}}=>4
[5,3,2,4,7,1,6]=>{{1,5,6,7},{2,3},{4}}=>4
[5,3,2,4,7,6,1]=>{{1,5,7},{2,3},{4},{6}}=>3
[5,3,2,6,1,4,7]=>{{1,5},{2,3},{4,6},{7}}=>2
[5,3,2,6,1,7,4]=>{{1,5},{2,3},{4,6,7}}=>3
[5,3,2,6,4,1,7]=>{{1,4,5,6},{2,3},{7}}=>4
[5,3,2,6,4,7,1]=>{{1,4,5,6,7},{2,3}}=>5
[5,3,2,6,7,1,4]=>{{1,4,5,6,7},{2,3}}=>5
[5,3,2,6,7,4,1]=>{{1,5,7},{2,3},{4,6}}=>3
[5,3,2,7,1,4,6]=>{{1,5},{2,3},{4,6,7}}=>3
[5,3,2,7,1,6,4]=>{{1,5},{2,3},{4,7},{6}}=>2
[5,3,2,7,4,1,6]=>{{1,4,5,6,7},{2,3}}=>5
[5,3,2,7,4,6,1]=>{{1,4,5,7},{2,3},{6}}=>4
[5,3,2,7,6,1,4]=>{{1,5,6},{2,3},{4,7}}=>3
[5,3,2,7,6,4,1]=>{{1,4,5,6,7},{2,3}}=>5
[5,3,4,1,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[5,3,4,1,2,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[5,3,4,1,6,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,3,4,1,6,7,2]=>{{1,2,3,4,5,6,7}}=>7
[5,3,4,1,7,2,6]=>{{1,2,3,4,5,6,7}}=>7
[5,3,4,1,7,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[5,3,4,2,1,6,7]=>{{1,5},{2,3,4},{6},{7}}=>3
[5,3,4,2,1,7,6]=>{{1,5},{2,3,4},{6,7}}=>3
[5,3,4,2,6,1,7]=>{{1,5,6},{2,3,4},{7}}=>3
[5,3,4,2,6,7,1]=>{{1,5,6,7},{2,3,4}}=>4
[5,3,4,2,7,1,6]=>{{1,5,6,7},{2,3,4}}=>4
[5,3,4,2,7,6,1]=>{{1,5,7},{2,3,4},{6}}=>3
[5,3,4,6,1,2,7]=>{{1,5},{2,3,4,6},{7}}=>4
[5,3,4,6,1,7,2]=>{{1,5},{2,3,4,6,7}}=>5
[5,3,4,6,2,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,3,4,6,2,7,1]=>{{1,2,3,4,5,6,7}}=>7
[5,3,4,6,7,1,2]=>{{1,2,3,4,5,6,7}}=>7
[5,3,4,6,7,2,1]=>{{1,5,7},{2,3,4,6}}=>4
[5,3,4,7,1,2,6]=>{{1,5},{2,3,4,6,7}}=>5
[5,3,4,7,1,6,2]=>{{1,5},{2,3,4,7},{6}}=>4
[5,3,4,7,2,1,6]=>{{1,2,3,4,5,6,7}}=>7
[5,3,4,7,2,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[5,3,4,7,6,1,2]=>{{1,5,6},{2,3,4,7}}=>4
[5,3,4,7,6,2,1]=>{{1,2,3,4,5,6,7}}=>7
[5,3,6,1,2,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,3,6,1,2,7,4]=>{{1,2,3,4,5,6,7}}=>7
[5,3,6,1,4,2,7]=>{{1,4,5},{2,3,6},{7}}=>3
[5,3,6,1,4,7,2]=>{{1,4,5},{2,3,6,7}}=>4
[5,3,6,1,7,2,4]=>{{1,4,5,7},{2,3,6}}=>4
[5,3,6,1,7,4,2]=>{{1,2,3,4,5,6,7}}=>7
[5,3,6,2,1,4,7]=>{{1,5},{2,3,4,6},{7}}=>4
[5,3,6,2,1,7,4]=>{{1,5},{2,3,4,6,7}}=>5
[5,3,6,2,4,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,3,6,2,4,7,1]=>{{1,2,3,4,5,6,7}}=>7
[5,3,6,2,7,1,4]=>{{1,2,3,4,5,6,7}}=>7
[5,3,6,2,7,4,1]=>{{1,5,7},{2,3,4,6}}=>4
[5,3,6,4,1,2,7]=>{{1,5},{2,3,6},{4},{7}}=>3
[5,3,6,4,1,7,2]=>{{1,5},{2,3,6,7},{4}}=>4
[5,3,6,4,2,1,7]=>{{1,2,3,5,6},{4},{7}}=>5
[5,3,6,4,2,7,1]=>{{1,2,3,5,6,7},{4}}=>6
[5,3,6,4,7,1,2]=>{{1,2,3,5,6,7},{4}}=>6
[5,3,6,4,7,2,1]=>{{1,5,7},{2,3,6},{4}}=>3
[5,3,6,7,1,2,4]=>{{1,5},{2,3,6},{4,7}}=>3
[5,3,6,7,1,4,2]=>{{1,5},{2,3,4,6,7}}=>5
[5,3,6,7,2,1,4]=>{{1,2,3,5,6},{4,7}}=>5
[5,3,6,7,2,4,1]=>{{1,2,3,4,5,6,7}}=>7
[5,3,6,7,4,1,2]=>{{1,2,3,4,5,6,7}}=>7
[5,3,6,7,4,2,1]=>{{1,4,5,7},{2,3,6}}=>4
[5,3,7,1,2,4,6]=>{{1,2,3,4,5,6,7}}=>7
[5,3,7,1,2,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[5,3,7,1,4,2,6]=>{{1,4,5},{2,3,6,7}}=>4
[5,3,7,1,4,6,2]=>{{1,4,5},{2,3,7},{6}}=>3
[5,3,7,1,6,2,4]=>{{1,2,3,4,5,6,7}}=>7
[5,3,7,1,6,4,2]=>{{1,4,5,6},{2,3,7}}=>4
[5,3,7,2,1,4,6]=>{{1,5},{2,3,4,6,7}}=>5
[5,3,7,2,1,6,4]=>{{1,5},{2,3,4,7},{6}}=>4
[5,3,7,2,4,1,6]=>{{1,2,3,4,5,6,7}}=>7
[5,3,7,2,4,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[5,3,7,2,6,1,4]=>{{1,5,6},{2,3,4,7}}=>4
[5,3,7,2,6,4,1]=>{{1,2,3,4,5,6,7}}=>7
[5,3,7,4,1,2,6]=>{{1,5},{2,3,6,7},{4}}=>4
[5,3,7,4,1,6,2]=>{{1,5},{2,3,7},{4},{6}}=>3
[5,3,7,4,2,1,6]=>{{1,2,3,5,6,7},{4}}=>6
[5,3,7,4,2,6,1]=>{{1,2,3,5,7},{4},{6}}=>5
[5,3,7,4,6,1,2]=>{{1,5,6},{2,3,7},{4}}=>3
[5,3,7,4,6,2,1]=>{{1,2,3,5,6,7},{4}}=>6
[5,3,7,6,1,2,4]=>{{1,5},{2,3,4,6,7}}=>5
[5,3,7,6,1,4,2]=>{{1,5},{2,3,7},{4,6}}=>3
[5,3,7,6,2,1,4]=>{{1,2,3,4,5,6,7}}=>7
[5,3,7,6,2,4,1]=>{{1,2,3,5,7},{4,6}}=>5
[5,3,7,6,4,1,2]=>{{1,4,5,6},{2,3,7}}=>4
[5,3,7,6,4,2,1]=>{{1,2,3,4,5,6,7}}=>7
[5,4,1,2,3,6,7]=>{{1,3,5},{2,4},{6},{7}}=>3
[5,4,1,2,3,7,6]=>{{1,3,5},{2,4},{6,7}}=>3
[5,4,1,2,6,3,7]=>{{1,3,5,6},{2,4},{7}}=>4
[5,4,1,2,6,7,3]=>{{1,3,5,6,7},{2,4}}=>5
[5,4,1,2,7,3,6]=>{{1,3,5,6,7},{2,4}}=>5
[5,4,1,2,7,6,3]=>{{1,3,5,7},{2,4},{6}}=>4
[5,4,1,3,2,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[5,4,1,3,2,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[5,4,1,3,6,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,4,1,3,6,7,2]=>{{1,2,3,4,5,6,7}}=>7
[5,4,1,3,7,2,6]=>{{1,2,3,4,5,6,7}}=>7
[5,4,1,3,7,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[5,4,1,6,2,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,4,1,6,2,7,3]=>{{1,2,3,4,5,6,7}}=>7
[5,4,1,6,3,2,7]=>{{1,3,5},{2,4,6},{7}}=>3
[5,4,1,6,3,7,2]=>{{1,3,5},{2,4,6,7}}=>4
[5,4,1,6,7,2,3]=>{{1,3,5,7},{2,4,6}}=>4
[5,4,1,6,7,3,2]=>{{1,2,3,4,5,6,7}}=>7
[5,4,1,7,2,3,6]=>{{1,2,3,4,5,6,7}}=>7
[5,4,1,7,2,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[5,4,1,7,3,2,6]=>{{1,3,5},{2,4,6,7}}=>4
[5,4,1,7,3,6,2]=>{{1,3,5},{2,4,7},{6}}=>3
[5,4,1,7,6,2,3]=>{{1,2,3,4,5,6,7}}=>7
[5,4,1,7,6,3,2]=>{{1,3,5,6},{2,4,7}}=>4
[5,4,2,1,3,6,7]=>{{1,2,3,4,5},{6},{7}}=>5
[5,4,2,1,3,7,6]=>{{1,2,3,4,5},{6,7}}=>5
[5,4,2,1,6,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,4,2,1,6,7,3]=>{{1,2,3,4,5,6,7}}=>7
[5,4,2,1,7,3,6]=>{{1,2,3,4,5,6,7}}=>7
[5,4,2,1,7,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[5,4,2,3,1,6,7]=>{{1,5},{2,3,4},{6},{7}}=>3
[5,4,2,3,1,7,6]=>{{1,5},{2,3,4},{6,7}}=>3
[5,4,2,3,6,1,7]=>{{1,5,6},{2,3,4},{7}}=>3
[5,4,2,3,6,7,1]=>{{1,5,6,7},{2,3,4}}=>4
[5,4,2,3,7,1,6]=>{{1,5,6,7},{2,3,4}}=>4
[5,4,2,3,7,6,1]=>{{1,5,7},{2,3,4},{6}}=>3
[5,4,2,6,1,3,7]=>{{1,5},{2,3,4,6},{7}}=>4
[5,4,2,6,1,7,3]=>{{1,5},{2,3,4,6,7}}=>5
[5,4,2,6,3,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,4,2,6,3,7,1]=>{{1,2,3,4,5,6,7}}=>7
[5,4,2,6,7,1,3]=>{{1,2,3,4,5,6,7}}=>7
[5,4,2,6,7,3,1]=>{{1,5,7},{2,3,4,6}}=>4
[5,4,2,7,1,3,6]=>{{1,5},{2,3,4,6,7}}=>5
[5,4,2,7,1,6,3]=>{{1,5},{2,3,4,7},{6}}=>4
[5,4,2,7,3,1,6]=>{{1,2,3,4,5,6,7}}=>7
[5,4,2,7,3,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[5,4,2,7,6,1,3]=>{{1,5,6},{2,3,4,7}}=>4
[5,4,2,7,6,3,1]=>{{1,2,3,4,5,6,7}}=>7
[5,4,3,1,2,6,7]=>{{1,2,4,5},{3},{6},{7}}=>4
[5,4,3,1,2,7,6]=>{{1,2,4,5},{3},{6,7}}=>4
[5,4,3,1,6,2,7]=>{{1,2,4,5,6},{3},{7}}=>5
[5,4,3,1,6,7,2]=>{{1,2,4,5,6,7},{3}}=>6
[5,4,3,1,7,2,6]=>{{1,2,4,5,6,7},{3}}=>6
[5,4,3,1,7,6,2]=>{{1,2,4,5,7},{3},{6}}=>5
[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>2
[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>2
[5,4,3,2,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>3
[5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>4
[5,4,3,2,7,1,6]=>{{1,5,6,7},{2,4},{3}}=>4
[5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>3
[5,4,3,6,1,2,7]=>{{1,5},{2,4,6},{3},{7}}=>3
[5,4,3,6,1,7,2]=>{{1,5},{2,4,6,7},{3}}=>4
[5,4,3,6,2,1,7]=>{{1,2,4,5,6},{3},{7}}=>5
[5,4,3,6,2,7,1]=>{{1,2,4,5,6,7},{3}}=>6
[5,4,3,6,7,1,2]=>{{1,2,4,5,6,7},{3}}=>6
[5,4,3,6,7,2,1]=>{{1,5,7},{2,4,6},{3}}=>3
[5,4,3,7,1,2,6]=>{{1,5},{2,4,6,7},{3}}=>4
[5,4,3,7,1,6,2]=>{{1,5},{2,4,7},{3},{6}}=>3
[5,4,3,7,2,1,6]=>{{1,2,4,5,6,7},{3}}=>6
[5,4,3,7,2,6,1]=>{{1,2,4,5,7},{3},{6}}=>5
[5,4,3,7,6,1,2]=>{{1,5,6},{2,4,7},{3}}=>3
[5,4,3,7,6,2,1]=>{{1,2,4,5,6,7},{3}}=>6
[5,4,6,1,2,3,7]=>{{1,2,4,5},{3,6},{7}}=>4
[5,4,6,1,2,7,3]=>{{1,2,4,5},{3,6,7}}=>4
[5,4,6,1,3,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,4,6,1,3,7,2]=>{{1,2,3,4,5,6,7}}=>7
[5,4,6,1,7,2,3]=>{{1,2,3,4,5,6,7}}=>7
[5,4,6,1,7,3,2]=>{{1,2,4,5,7},{3,6}}=>5
[5,4,6,2,1,3,7]=>{{1,5},{2,4},{3,6},{7}}=>2
[5,4,6,2,1,7,3]=>{{1,5},{2,4},{3,6,7}}=>3
[5,4,6,2,3,1,7]=>{{1,3,5,6},{2,4},{7}}=>4
[5,4,6,2,3,7,1]=>{{1,3,5,6,7},{2,4}}=>5
[5,4,6,2,7,1,3]=>{{1,3,5,6,7},{2,4}}=>5
[5,4,6,2,7,3,1]=>{{1,5,7},{2,4},{3,6}}=>3
[5,4,6,3,1,2,7]=>{{1,5},{2,3,4,6},{7}}=>4
[5,4,6,3,1,7,2]=>{{1,5},{2,3,4,6,7}}=>5
[5,4,6,3,2,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,4,6,3,2,7,1]=>{{1,2,3,4,5,6,7}}=>7
[5,4,6,3,7,1,2]=>{{1,2,3,4,5,6,7}}=>7
[5,4,6,3,7,2,1]=>{{1,5,7},{2,3,4,6}}=>4
[5,4,6,7,1,2,3]=>{{1,5},{2,3,4,6,7}}=>5
[5,4,6,7,1,3,2]=>{{1,5},{2,4,7},{3,6}}=>3
[5,4,6,7,2,1,3]=>{{1,2,3,4,5,6,7}}=>7
[5,4,6,7,2,3,1]=>{{1,2,4,5,7},{3,6}}=>5
[5,4,6,7,3,1,2]=>{{1,3,5,6},{2,4,7}}=>4
[5,4,6,7,3,2,1]=>{{1,2,3,4,5,6,7}}=>7
[5,4,7,1,2,3,6]=>{{1,2,4,5},{3,6,7}}=>4
[5,4,7,1,2,6,3]=>{{1,2,4,5},{3,7},{6}}=>4
[5,4,7,1,3,2,6]=>{{1,2,3,4,5,6,7}}=>7
[5,4,7,1,3,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[5,4,7,1,6,2,3]=>{{1,2,4,5,6},{3,7}}=>5
[5,4,7,1,6,3,2]=>{{1,2,3,4,5,6,7}}=>7
[5,4,7,2,1,3,6]=>{{1,5},{2,4},{3,6,7}}=>3
[5,4,7,2,1,6,3]=>{{1,5},{2,4},{3,7},{6}}=>2
[5,4,7,2,3,1,6]=>{{1,3,5,6,7},{2,4}}=>5
[5,4,7,2,3,6,1]=>{{1,3,5,7},{2,4},{6}}=>4
[5,4,7,2,6,1,3]=>{{1,5,6},{2,4},{3,7}}=>3
[5,4,7,2,6,3,1]=>{{1,3,5,6,7},{2,4}}=>5
[5,4,7,3,1,2,6]=>{{1,5},{2,3,4,6,7}}=>5
[5,4,7,3,1,6,2]=>{{1,5},{2,3,4,7},{6}}=>4
[5,4,7,3,2,1,6]=>{{1,2,3,4,5,6,7}}=>7
[5,4,7,3,2,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[5,4,7,3,6,1,2]=>{{1,5,6},{2,3,4,7}}=>4
[5,4,7,3,6,2,1]=>{{1,2,3,4,5,6,7}}=>7
[5,4,7,6,1,2,3]=>{{1,5},{2,4,6},{3,7}}=>3
[5,4,7,6,1,3,2]=>{{1,5},{2,3,4,6,7}}=>5
[5,4,7,6,2,1,3]=>{{1,2,4,5,6},{3,7}}=>5
[5,4,7,6,2,3,1]=>{{1,2,3,4,5,6,7}}=>7
[5,4,7,6,3,1,2]=>{{1,2,3,4,5,6,7}}=>7
[5,4,7,6,3,2,1]=>{{1,3,5,7},{2,4,6}}=>4
[5,6,1,2,3,4,7]=>{{1,3,5},{2,4,6},{7}}=>3
[5,6,1,2,3,7,4]=>{{1,3,5},{2,4,6,7}}=>4
[5,6,1,2,4,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,6,1,2,4,7,3]=>{{1,2,3,4,5,6,7}}=>7
[5,6,1,2,7,3,4]=>{{1,2,3,4,5,6,7}}=>7
[5,6,1,2,7,4,3]=>{{1,3,5,7},{2,4,6}}=>4
[5,6,1,3,2,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,6,1,3,2,7,4]=>{{1,2,3,4,5,6,7}}=>7
[5,6,1,3,4,2,7]=>{{1,3,4,5},{2,6},{7}}=>4
[5,6,1,3,4,7,2]=>{{1,3,4,5},{2,6,7}}=>4
[5,6,1,3,7,2,4]=>{{1,3,4,5,7},{2,6}}=>5
[5,6,1,3,7,4,2]=>{{1,2,3,4,5,6,7}}=>7
[5,6,1,4,2,3,7]=>{{1,2,3,5,6},{4},{7}}=>5
[5,6,1,4,2,7,3]=>{{1,2,3,5,6,7},{4}}=>6
[5,6,1,4,3,2,7]=>{{1,3,5},{2,6},{4},{7}}=>3
[5,6,1,4,3,7,2]=>{{1,3,5},{2,6,7},{4}}=>3
[5,6,1,4,7,2,3]=>{{1,3,5,7},{2,6},{4}}=>4
[5,6,1,4,7,3,2]=>{{1,2,3,5,6,7},{4}}=>6
[5,6,1,7,2,3,4]=>{{1,2,3,5,6},{4,7}}=>5
[5,6,1,7,2,4,3]=>{{1,2,3,4,5,6,7}}=>7
[5,6,1,7,3,2,4]=>{{1,3,5},{2,6},{4,7}}=>3
[5,6,1,7,3,4,2]=>{{1,3,5},{2,4,6,7}}=>4
[5,6,1,7,4,2,3]=>{{1,3,4,5,7},{2,6}}=>5
[5,6,1,7,4,3,2]=>{{1,2,3,4,5,6,7}}=>7
[5,6,2,1,3,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,6,2,1,3,7,4]=>{{1,2,3,4,5,6,7}}=>7
[5,6,2,1,4,3,7]=>{{1,4,5},{2,3,6},{7}}=>3
[5,6,2,1,4,7,3]=>{{1,4,5},{2,3,6,7}}=>4
[5,6,2,1,7,3,4]=>{{1,4,5,7},{2,3,6}}=>4
[5,6,2,1,7,4,3]=>{{1,2,3,4,5,6,7}}=>7
[5,6,2,3,1,4,7]=>{{1,5},{2,3,4,6},{7}}=>4
[5,6,2,3,1,7,4]=>{{1,5},{2,3,4,6,7}}=>5
[5,6,2,3,4,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,6,2,3,4,7,1]=>{{1,2,3,4,5,6,7}}=>7
[5,6,2,3,7,1,4]=>{{1,2,3,4,5,6,7}}=>7
[5,6,2,3,7,4,1]=>{{1,5,7},{2,3,4,6}}=>4
[5,6,2,4,1,3,7]=>{{1,5},{2,3,6},{4},{7}}=>3
[5,6,2,4,1,7,3]=>{{1,5},{2,3,6,7},{4}}=>4
[5,6,2,4,3,1,7]=>{{1,2,3,5,6},{4},{7}}=>5
[5,6,2,4,3,7,1]=>{{1,2,3,5,6,7},{4}}=>6
[5,6,2,4,7,1,3]=>{{1,2,3,5,6,7},{4}}=>6
[5,6,2,4,7,3,1]=>{{1,5,7},{2,3,6},{4}}=>3
[5,6,2,7,1,3,4]=>{{1,5},{2,3,6},{4,7}}=>3
[5,6,2,7,1,4,3]=>{{1,5},{2,3,4,6,7}}=>5
[5,6,2,7,3,1,4]=>{{1,2,3,5,6},{4,7}}=>5
[5,6,2,7,3,4,1]=>{{1,2,3,4,5,6,7}}=>7
[5,6,2,7,4,1,3]=>{{1,2,3,4,5,6,7}}=>7
[5,6,2,7,4,3,1]=>{{1,4,5,7},{2,3,6}}=>4
[5,6,3,1,2,4,7]=>{{1,2,4,5,6},{3},{7}}=>5
[5,6,3,1,2,7,4]=>{{1,2,4,5,6,7},{3}}=>6
[5,6,3,1,4,2,7]=>{{1,4,5},{2,6},{3},{7}}=>3
[5,6,3,1,4,7,2]=>{{1,4,5},{2,6,7},{3}}=>3
[5,6,3,1,7,2,4]=>{{1,4,5,7},{2,6},{3}}=>4
[5,6,3,1,7,4,2]=>{{1,2,4,5,6,7},{3}}=>6
[5,6,3,2,1,4,7]=>{{1,5},{2,4,6},{3},{7}}=>3
[5,6,3,2,1,7,4]=>{{1,5},{2,4,6,7},{3}}=>4
[5,6,3,2,4,1,7]=>{{1,2,4,5,6},{3},{7}}=>5
[5,6,3,2,4,7,1]=>{{1,2,4,5,6,7},{3}}=>6
[5,6,3,2,7,1,4]=>{{1,2,4,5,6,7},{3}}=>6
[5,6,3,2,7,4,1]=>{{1,5,7},{2,4,6},{3}}=>3
[5,6,3,4,1,2,7]=>{{1,5},{2,6},{3},{4},{7}}=>2
[5,6,3,4,1,7,2]=>{{1,5},{2,6,7},{3},{4}}=>3
[5,6,3,4,2,1,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[5,6,3,4,2,7,1]=>{{1,2,5,6,7},{3},{4}}=>5
[5,6,3,4,7,1,2]=>{{1,2,5,6,7},{3},{4}}=>5
[5,6,3,4,7,2,1]=>{{1,5,7},{2,6},{3},{4}}=>3
[5,6,3,7,1,2,4]=>{{1,5},{2,6},{3},{4,7}}=>2
[5,6,3,7,1,4,2]=>{{1,5},{2,4,6,7},{3}}=>4
[5,6,3,7,2,1,4]=>{{1,2,5,6},{3},{4,7}}=>4
[5,6,3,7,2,4,1]=>{{1,2,4,5,6,7},{3}}=>6
[5,6,3,7,4,1,2]=>{{1,2,4,5,6,7},{3}}=>6
[5,6,3,7,4,2,1]=>{{1,4,5,7},{2,6},{3}}=>4
[5,6,4,1,2,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,6,4,1,2,7,3]=>{{1,2,3,4,5,6,7}}=>7
[5,6,4,1,3,2,7]=>{{1,3,4,5},{2,6},{7}}=>4
[5,6,4,1,3,7,2]=>{{1,3,4,5},{2,6,7}}=>4
[5,6,4,1,7,2,3]=>{{1,3,4,5,7},{2,6}}=>5
[5,6,4,1,7,3,2]=>{{1,2,3,4,5,6,7}}=>7
[5,6,4,2,1,3,7]=>{{1,5},{2,3,4,6},{7}}=>4
[5,6,4,2,1,7,3]=>{{1,5},{2,3,4,6,7}}=>5
[5,6,4,2,3,1,7]=>{{1,2,3,4,5,6},{7}}=>6
[5,6,4,2,3,7,1]=>{{1,2,3,4,5,6,7}}=>7
[5,6,4,2,7,1,3]=>{{1,2,3,4,5,6,7}}=>7
[5,6,4,2,7,3,1]=>{{1,5,7},{2,3,4,6}}=>4
[5,6,4,3,1,2,7]=>{{1,5},{2,6},{3,4},{7}}=>2
[5,6,4,3,1,7,2]=>{{1,5},{2,6,7},{3,4}}=>3
[5,6,4,3,2,1,7]=>{{1,2,5,6},{3,4},{7}}=>4
[5,6,4,3,2,7,1]=>{{1,2,5,6,7},{3,4}}=>5
[5,6,4,3,7,1,2]=>{{1,2,5,6,7},{3,4}}=>5
[5,6,4,3,7,2,1]=>{{1,5,7},{2,6},{3,4}}=>3
[5,6,4,7,1,2,3]=>{{1,5},{2,6},{3,4,7}}=>3
[5,6,4,7,1,3,2]=>{{1,5},{2,3,4,6,7}}=>5
[5,6,4,7,2,1,3]=>{{1,2,5,6},{3,4,7}}=>4
[5,6,4,7,2,3,1]=>{{1,2,3,4,5,6,7}}=>7
[5,6,4,7,3,1,2]=>{{1,2,3,4,5,6,7}}=>7
[5,6,4,7,3,2,1]=>{{1,3,4,5,7},{2,6}}=>5
[5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>7
[5,6,7,1,2,4,3]=>{{1,2,4,5,6},{3,7}}=>5
[5,6,7,1,3,2,4]=>{{1,3,4,5,7},{2,6}}=>5
[5,6,7,1,3,4,2]=>{{1,2,3,4,5,6,7}}=>7
[5,6,7,1,4,2,3]=>{{1,4,5},{2,6},{3,7}}=>3
[5,6,7,1,4,3,2]=>{{1,4,5},{2,3,6,7}}=>4
[5,6,7,2,1,3,4]=>{{1,5},{2,3,4,6,7}}=>5
[5,6,7,2,1,4,3]=>{{1,5},{2,4,6},{3,7}}=>3
[5,6,7,2,3,1,4]=>{{1,2,3,4,5,6,7}}=>7
[5,6,7,2,3,4,1]=>{{1,3,5,7},{2,4,6}}=>4
[5,6,7,2,4,1,3]=>{{1,2,4,5,6},{3,7}}=>5
[5,6,7,2,4,3,1]=>{{1,2,3,4,5,6,7}}=>7
[5,6,7,3,1,2,4]=>{{1,5},{2,6},{3,4,7}}=>3
[5,6,7,3,1,4,2]=>{{1,5},{2,3,4,6,7}}=>5
[5,6,7,3,2,1,4]=>{{1,2,5,6},{3,4,7}}=>4
[5,6,7,3,2,4,1]=>{{1,2,3,4,5,6,7}}=>7
[5,6,7,3,4,1,2]=>{{1,2,3,4,5,6,7}}=>7
[5,6,7,3,4,2,1]=>{{1,3,4,5,7},{2,6}}=>5
[5,6,7,4,1,2,3]=>{{1,5},{2,6},{3,7},{4}}=>2
[5,6,7,4,1,3,2]=>{{1,5},{2,3,6,7},{4}}=>4
[5,6,7,4,2,1,3]=>{{1,2,5,6},{3,7},{4}}=>4
[5,6,7,4,2,3,1]=>{{1,2,3,5,6,7},{4}}=>6
[5,6,7,4,3,1,2]=>{{1,2,3,5,6,7},{4}}=>6
[5,6,7,4,3,2,1]=>{{1,3,5,7},{2,6},{4}}=>4
[5,7,1,2,3,4,6]=>{{1,3,5},{2,4,6,7}}=>4
[5,7,1,2,3,6,4]=>{{1,3,5},{2,4,7},{6}}=>3
[5,7,1,2,4,3,6]=>{{1,2,3,4,5,6,7}}=>7
[5,7,1,2,4,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[5,7,1,2,6,3,4]=>{{1,3,5,6},{2,4,7}}=>4
[5,7,1,2,6,4,3]=>{{1,2,3,4,5,6,7}}=>7
[5,7,1,3,2,4,6]=>{{1,2,3,4,5,6,7}}=>7
[5,7,1,3,2,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[5,7,1,3,4,2,6]=>{{1,3,4,5},{2,6,7}}=>4
[5,7,1,3,4,6,2]=>{{1,3,4,5},{2,7},{6}}=>4
[5,7,1,3,6,2,4]=>{{1,2,3,4,5,6,7}}=>7
[5,7,1,3,6,4,2]=>{{1,3,4,5,6},{2,7}}=>5
[5,7,1,4,2,3,6]=>{{1,2,3,5,6,7},{4}}=>6
[5,7,1,4,2,6,3]=>{{1,2,3,5,7},{4},{6}}=>5
[5,7,1,4,3,2,6]=>{{1,3,5},{2,6,7},{4}}=>3
[5,7,1,4,3,6,2]=>{{1,3,5},{2,7},{4},{6}}=>3
[5,7,1,4,6,2,3]=>{{1,2,3,5,6,7},{4}}=>6
[5,7,1,4,6,3,2]=>{{1,3,5,6},{2,7},{4}}=>4
[5,7,1,6,2,3,4]=>{{1,2,3,4,5,6,7}}=>7
[5,7,1,6,2,4,3]=>{{1,2,3,5,7},{4,6}}=>5
[5,7,1,6,3,2,4]=>{{1,3,5},{2,4,6,7}}=>4
[5,7,1,6,3,4,2]=>{{1,3,5},{2,7},{4,6}}=>3
[5,7,1,6,4,2,3]=>{{1,2,3,4,5,6,7}}=>7
[5,7,1,6,4,3,2]=>{{1,3,4,5,6},{2,7}}=>5
[5,7,2,1,3,4,6]=>{{1,2,3,4,5,6,7}}=>7
[5,7,2,1,3,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[5,7,2,1,4,3,6]=>{{1,4,5},{2,3,6,7}}=>4
[5,7,2,1,4,6,3]=>{{1,4,5},{2,3,7},{6}}=>3
[5,7,2,1,6,3,4]=>{{1,2,3,4,5,6,7}}=>7
[5,7,2,1,6,4,3]=>{{1,4,5,6},{2,3,7}}=>4
[5,7,2,3,1,4,6]=>{{1,5},{2,3,4,6,7}}=>5
[5,7,2,3,1,6,4]=>{{1,5},{2,3,4,7},{6}}=>4
[5,7,2,3,4,1,6]=>{{1,2,3,4,5,6,7}}=>7
[5,7,2,3,4,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[5,7,2,3,6,1,4]=>{{1,5,6},{2,3,4,7}}=>4
[5,7,2,3,6,4,1]=>{{1,2,3,4,5,6,7}}=>7
[5,7,2,4,1,3,6]=>{{1,5},{2,3,6,7},{4}}=>4
[5,7,2,4,1,6,3]=>{{1,5},{2,3,7},{4},{6}}=>3
[5,7,2,4,3,1,6]=>{{1,2,3,5,6,7},{4}}=>6
[5,7,2,4,3,6,1]=>{{1,2,3,5,7},{4},{6}}=>5
[5,7,2,4,6,1,3]=>{{1,5,6},{2,3,7},{4}}=>3
[5,7,2,4,6,3,1]=>{{1,2,3,5,6,7},{4}}=>6
[5,7,2,6,1,3,4]=>{{1,5},{2,3,4,6,7}}=>5
[5,7,2,6,1,4,3]=>{{1,5},{2,3,7},{4,6}}=>3
[5,7,2,6,3,1,4]=>{{1,2,3,4,5,6,7}}=>7
[5,7,2,6,3,4,1]=>{{1,2,3,5,7},{4,6}}=>5
[5,7,2,6,4,1,3]=>{{1,4,5,6},{2,3,7}}=>4
[5,7,2,6,4,3,1]=>{{1,2,3,4,5,6,7}}=>7
[5,7,3,1,2,4,6]=>{{1,2,4,5,6,7},{3}}=>6
[5,7,3,1,2,6,4]=>{{1,2,4,5,7},{3},{6}}=>5
[5,7,3,1,4,2,6]=>{{1,4,5},{2,6,7},{3}}=>3
[5,7,3,1,4,6,2]=>{{1,4,5},{2,7},{3},{6}}=>3
[5,7,3,1,6,2,4]=>{{1,2,4,5,6,7},{3}}=>6
[5,7,3,1,6,4,2]=>{{1,4,5,6},{2,7},{3}}=>4
[5,7,3,2,1,4,6]=>{{1,5},{2,4,6,7},{3}}=>4
[5,7,3,2,1,6,4]=>{{1,5},{2,4,7},{3},{6}}=>3
[5,7,3,2,4,1,6]=>{{1,2,4,5,6,7},{3}}=>6
[5,7,3,2,4,6,1]=>{{1,2,4,5,7},{3},{6}}=>5
[5,7,3,2,6,1,4]=>{{1,5,6},{2,4,7},{3}}=>3
[5,7,3,2,6,4,1]=>{{1,2,4,5,6,7},{3}}=>6
[5,7,3,4,1,2,6]=>{{1,5},{2,6,7},{3},{4}}=>3
[5,7,3,4,1,6,2]=>{{1,5},{2,7},{3},{4},{6}}=>2
[5,7,3,4,2,1,6]=>{{1,2,5,6,7},{3},{4}}=>5
[5,7,3,4,2,6,1]=>{{1,2,5,7},{3},{4},{6}}=>4
[5,7,3,4,6,1,2]=>{{1,5,6},{2,7},{3},{4}}=>3
[5,7,3,4,6,2,1]=>{{1,2,5,6,7},{3},{4}}=>5
[5,7,3,6,1,2,4]=>{{1,5},{2,4,6,7},{3}}=>4
[5,7,3,6,1,4,2]=>{{1,5},{2,7},{3},{4,6}}=>2
[5,7,3,6,2,1,4]=>{{1,2,4,5,6,7},{3}}=>6
[5,7,3,6,2,4,1]=>{{1,2,5,7},{3},{4,6}}=>4
[5,7,3,6,4,1,2]=>{{1,4,5,6},{2,7},{3}}=>4
[5,7,3,6,4,2,1]=>{{1,2,4,5,6,7},{3}}=>6
[5,7,4,1,2,3,6]=>{{1,2,3,4,5,6,7}}=>7
[5,7,4,1,2,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[5,7,4,1,3,2,6]=>{{1,3,4,5},{2,6,7}}=>4
[5,7,4,1,3,6,2]=>{{1,3,4,5},{2,7},{6}}=>4
[5,7,4,1,6,2,3]=>{{1,2,3,4,5,6,7}}=>7
[5,7,4,1,6,3,2]=>{{1,3,4,5,6},{2,7}}=>5
[5,7,4,2,1,3,6]=>{{1,5},{2,3,4,6,7}}=>5
[5,7,4,2,1,6,3]=>{{1,5},{2,3,4,7},{6}}=>4
[5,7,4,2,3,1,6]=>{{1,2,3,4,5,6,7}}=>7
[5,7,4,2,3,6,1]=>{{1,2,3,4,5,7},{6}}=>6
[5,7,4,2,6,1,3]=>{{1,5,6},{2,3,4,7}}=>4
[5,7,4,2,6,3,1]=>{{1,2,3,4,5,6,7}}=>7
[5,7,4,3,1,2,6]=>{{1,5},{2,6,7},{3,4}}=>3
[5,7,4,3,1,6,2]=>{{1,5},{2,7},{3,4},{6}}=>2
[5,7,4,3,2,1,6]=>{{1,2,5,6,7},{3,4}}=>5
[5,7,4,3,2,6,1]=>{{1,2,5,7},{3,4},{6}}=>4
[5,7,4,3,6,1,2]=>{{1,5,6},{2,7},{3,4}}=>3
[5,7,4,3,6,2,1]=>{{1,2,5,6,7},{3,4}}=>5
[5,7,4,6,1,2,3]=>{{1,5},{2,3,4,6,7}}=>5
[5,7,4,6,1,3,2]=>{{1,5},{2,7},{3,4,6}}=>3
[5,7,4,6,2,1,3]=>{{1,2,3,4,5,6,7}}=>7
[5,7,4,6,2,3,1]=>{{1,2,5,7},{3,4,6}}=>4
[5,7,4,6,3,1,2]=>{{1,3,4,5,6},{2,7}}=>5
[5,7,4,6,3,2,1]=>{{1,2,3,4,5,6,7}}=>7
[5,7,6,1,2,3,4]=>{{1,2,4,5,7},{3,6}}=>5
[5,7,6,1,2,4,3]=>{{1,2,3,4,5,6,7}}=>7
[5,7,6,1,3,2,4]=>{{1,2,3,4,5,6,7}}=>7
[5,7,6,1,3,4,2]=>{{1,3,4,5,6},{2,7}}=>5
[5,7,6,1,4,2,3]=>{{1,4,5},{2,3,6,7}}=>4
[5,7,6,1,4,3,2]=>{{1,4,5},{2,7},{3,6}}=>3
[5,7,6,2,1,3,4]=>{{1,5},{2,4,7},{3,6}}=>3
[5,7,6,2,1,4,3]=>{{1,5},{2,3,4,6,7}}=>5
[5,7,6,2,3,1,4]=>{{1,3,5,6},{2,4,7}}=>4
[5,7,6,2,3,4,1]=>{{1,2,3,4,5,6,7}}=>7
[5,7,6,2,4,1,3]=>{{1,2,3,4,5,6,7}}=>7
[5,7,6,2,4,3,1]=>{{1,2,4,5,7},{3,6}}=>5
[5,7,6,3,1,2,4]=>{{1,5},{2,3,4,6,7}}=>5
[5,7,6,3,1,4,2]=>{{1,5},{2,7},{3,4,6}}=>3
[5,7,6,3,2,1,4]=>{{1,2,3,4,5,6,7}}=>7
[5,7,6,3,2,4,1]=>{{1,2,5,7},{3,4,6}}=>4
[5,7,6,3,4,1,2]=>{{1,3,4,5,6},{2,7}}=>5
[5,7,6,3,4,2,1]=>{{1,2,3,4,5,6,7}}=>7
[5,7,6,4,1,2,3]=>{{1,5},{2,3,6,7},{4}}=>4
[5,7,6,4,1,3,2]=>{{1,5},{2,7},{3,6},{4}}=>2
[5,7,6,4,2,1,3]=>{{1,2,3,5,6,7},{4}}=>6
[5,7,6,4,2,3,1]=>{{1,2,5,7},{3,6},{4}}=>4
[5,7,6,4,3,1,2]=>{{1,3,5,6},{2,7},{4}}=>4
[5,7,6,4,3,2,1]=>{{1,2,3,5,6,7},{4}}=>6
[6,1,2,3,4,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,1,2,3,4,7,5]=>{{1,2,3,4,5,6,7}}=>7
[6,1,2,3,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>5
[6,1,2,3,5,7,4]=>{{1,2,3,4,6,7},{5}}=>6
[6,1,2,3,7,4,5]=>{{1,2,3,4,6},{5,7}}=>5
[6,1,2,3,7,5,4]=>{{1,2,3,4,5,6,7}}=>7
[6,1,2,4,3,5,7]=>{{1,2,3,5,6},{4},{7}}=>5
[6,1,2,4,3,7,5]=>{{1,2,3,5,6,7},{4}}=>6
[6,1,2,4,5,3,7]=>{{1,2,3,6},{4},{5},{7}}=>4
[6,1,2,4,5,7,3]=>{{1,2,3,6,7},{4},{5}}=>5
[6,1,2,4,7,3,5]=>{{1,2,3,6},{4},{5,7}}=>4
[6,1,2,4,7,5,3]=>{{1,2,3,5,6,7},{4}}=>6
[6,1,2,5,3,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,1,2,5,3,7,4]=>{{1,2,3,4,5,6,7}}=>7
[6,1,2,5,4,3,7]=>{{1,2,3,6},{4,5},{7}}=>4
[6,1,2,5,4,7,3]=>{{1,2,3,6,7},{4,5}}=>5
[6,1,2,5,7,3,4]=>{{1,2,3,6},{4,5,7}}=>4
[6,1,2,5,7,4,3]=>{{1,2,3,4,5,6,7}}=>7
[6,1,2,7,3,4,5]=>{{1,2,3,4,5,6,7}}=>7
[6,1,2,7,3,5,4]=>{{1,2,3,5,6},{4,7}}=>5
[6,1,2,7,4,3,5]=>{{1,2,3,6},{4,5,7}}=>4
[6,1,2,7,4,5,3]=>{{1,2,3,4,5,6,7}}=>7
[6,1,2,7,5,3,4]=>{{1,2,3,6},{4,7},{5}}=>4
[6,1,2,7,5,4,3]=>{{1,2,3,4,6,7},{5}}=>6
[6,1,3,2,4,5,7]=>{{1,2,4,5,6},{3},{7}}=>5
[6,1,3,2,4,7,5]=>{{1,2,4,5,6,7},{3}}=>6
[6,1,3,2,5,4,7]=>{{1,2,4,6},{3},{5},{7}}=>4
[6,1,3,2,5,7,4]=>{{1,2,4,6,7},{3},{5}}=>5
[6,1,3,2,7,4,5]=>{{1,2,4,6},{3},{5,7}}=>4
[6,1,3,2,7,5,4]=>{{1,2,4,5,6,7},{3}}=>6
[6,1,3,4,2,5,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[6,1,3,4,2,7,5]=>{{1,2,5,6,7},{3},{4}}=>5
[6,1,3,4,5,2,7]=>{{1,2,6},{3},{4},{5},{7}}=>3
[6,1,3,4,5,7,2]=>{{1,2,6,7},{3},{4},{5}}=>4
[6,1,3,4,7,2,5]=>{{1,2,6},{3},{4},{5,7}}=>3
[6,1,3,4,7,5,2]=>{{1,2,5,6,7},{3},{4}}=>5
[6,1,3,5,2,4,7]=>{{1,2,4,5,6},{3},{7}}=>5
[6,1,3,5,2,7,4]=>{{1,2,4,5,6,7},{3}}=>6
[6,1,3,5,4,2,7]=>{{1,2,6},{3},{4,5},{7}}=>3
[6,1,3,5,4,7,2]=>{{1,2,6,7},{3},{4,5}}=>4
[6,1,3,5,7,2,4]=>{{1,2,6},{3},{4,5,7}}=>3
[6,1,3,5,7,4,2]=>{{1,2,4,5,6,7},{3}}=>6
[6,1,3,7,2,4,5]=>{{1,2,4,5,6,7},{3}}=>6
[6,1,3,7,2,5,4]=>{{1,2,5,6},{3},{4,7}}=>4
[6,1,3,7,4,2,5]=>{{1,2,6},{3},{4,5,7}}=>3
[6,1,3,7,4,5,2]=>{{1,2,4,5,6,7},{3}}=>6
[6,1,3,7,5,2,4]=>{{1,2,6},{3},{4,7},{5}}=>3
[6,1,3,7,5,4,2]=>{{1,2,4,6,7},{3},{5}}=>5
[6,1,4,2,3,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,1,4,2,3,7,5]=>{{1,2,3,4,5,6,7}}=>7
[6,1,4,2,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>5
[6,1,4,2,5,7,3]=>{{1,2,3,4,6,7},{5}}=>6
[6,1,4,2,7,3,5]=>{{1,2,3,4,6},{5,7}}=>5
[6,1,4,2,7,5,3]=>{{1,2,3,4,5,6,7}}=>7
[6,1,4,3,2,5,7]=>{{1,2,5,6},{3,4},{7}}=>4
[6,1,4,3,2,7,5]=>{{1,2,5,6,7},{3,4}}=>5
[6,1,4,3,5,2,7]=>{{1,2,6},{3,4},{5},{7}}=>3
[6,1,4,3,5,7,2]=>{{1,2,6,7},{3,4},{5}}=>4
[6,1,4,3,7,2,5]=>{{1,2,6},{3,4},{5,7}}=>3
[6,1,4,3,7,5,2]=>{{1,2,5,6,7},{3,4}}=>5
[6,1,4,5,2,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,1,4,5,2,7,3]=>{{1,2,3,4,5,6,7}}=>7
[6,1,4,5,3,2,7]=>{{1,2,6},{3,4,5},{7}}=>3
[6,1,4,5,3,7,2]=>{{1,2,6,7},{3,4,5}}=>4
[6,1,4,5,7,2,3]=>{{1,2,6},{3,4,5,7}}=>4
[6,1,4,5,7,3,2]=>{{1,2,3,4,5,6,7}}=>7
[6,1,4,7,2,3,5]=>{{1,2,3,4,5,6,7}}=>7
[6,1,4,7,2,5,3]=>{{1,2,5,6},{3,4,7}}=>4
[6,1,4,7,3,2,5]=>{{1,2,6},{3,4,5,7}}=>4
[6,1,4,7,3,5,2]=>{{1,2,3,4,5,6,7}}=>7
[6,1,4,7,5,2,3]=>{{1,2,6},{3,4,7},{5}}=>3
[6,1,4,7,5,3,2]=>{{1,2,3,4,6,7},{5}}=>6
[6,1,5,2,3,4,7]=>{{1,2,4,6},{3,5},{7}}=>4
[6,1,5,2,3,7,4]=>{{1,2,4,6,7},{3,5}}=>5
[6,1,5,2,4,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,1,5,2,4,7,3]=>{{1,2,3,4,5,6,7}}=>7
[6,1,5,2,7,3,4]=>{{1,2,3,4,5,6,7}}=>7
[6,1,5,2,7,4,3]=>{{1,2,4,6},{3,5,7}}=>4
[6,1,5,3,2,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,1,5,3,2,7,4]=>{{1,2,3,4,5,6,7}}=>7
[6,1,5,3,4,2,7]=>{{1,2,6},{3,4,5},{7}}=>3
[6,1,5,3,4,7,2]=>{{1,2,6,7},{3,4,5}}=>4
[6,1,5,3,7,2,4]=>{{1,2,6},{3,4,5,7}}=>4
[6,1,5,3,7,4,2]=>{{1,2,3,4,5,6,7}}=>7
[6,1,5,4,2,3,7]=>{{1,2,3,5,6},{4},{7}}=>5
[6,1,5,4,2,7,3]=>{{1,2,3,5,6,7},{4}}=>6
[6,1,5,4,3,2,7]=>{{1,2,6},{3,5},{4},{7}}=>3
[6,1,5,4,3,7,2]=>{{1,2,6,7},{3,5},{4}}=>4
[6,1,5,4,7,2,3]=>{{1,2,6},{3,5,7},{4}}=>3
[6,1,5,4,7,3,2]=>{{1,2,3,5,6,7},{4}}=>6
[6,1,5,7,2,3,4]=>{{1,2,3,5,6},{4,7}}=>5
[6,1,5,7,2,4,3]=>{{1,2,3,4,5,6,7}}=>7
[6,1,5,7,3,2,4]=>{{1,2,6},{3,5},{4,7}}=>3
[6,1,5,7,3,4,2]=>{{1,2,4,6,7},{3,5}}=>5
[6,1,5,7,4,2,3]=>{{1,2,6},{3,4,5,7}}=>4
[6,1,5,7,4,3,2]=>{{1,2,3,4,5,6,7}}=>7
[6,1,7,2,3,4,5]=>{{1,2,4,6},{3,5,7}}=>4
[6,1,7,2,3,5,4]=>{{1,2,3,4,5,6,7}}=>7
[6,1,7,2,4,3,5]=>{{1,2,3,4,5,6,7}}=>7
[6,1,7,2,4,5,3]=>{{1,2,4,5,6},{3,7}}=>5
[6,1,7,2,5,3,4]=>{{1,2,3,4,6,7},{5}}=>6
[6,1,7,2,5,4,3]=>{{1,2,4,6},{3,7},{5}}=>4
[6,1,7,3,2,4,5]=>{{1,2,3,4,5,6,7}}=>7
[6,1,7,3,2,5,4]=>{{1,2,5,6},{3,4,7}}=>4
[6,1,7,3,4,2,5]=>{{1,2,6},{3,4,5,7}}=>4
[6,1,7,3,4,5,2]=>{{1,2,3,4,5,6,7}}=>7
[6,1,7,3,5,2,4]=>{{1,2,6},{3,4,7},{5}}=>3
[6,1,7,3,5,4,2]=>{{1,2,3,4,6,7},{5}}=>6
[6,1,7,4,2,3,5]=>{{1,2,3,5,6,7},{4}}=>6
[6,1,7,4,2,5,3]=>{{1,2,5,6},{3,7},{4}}=>4
[6,1,7,4,3,2,5]=>{{1,2,6},{3,5,7},{4}}=>3
[6,1,7,4,3,5,2]=>{{1,2,3,5,6,7},{4}}=>6
[6,1,7,4,5,2,3]=>{{1,2,6},{3,7},{4},{5}}=>3
[6,1,7,4,5,3,2]=>{{1,2,3,6,7},{4},{5}}=>5
[6,1,7,5,2,3,4]=>{{1,2,3,4,5,6,7}}=>7
[6,1,7,5,2,4,3]=>{{1,2,4,5,6},{3,7}}=>5
[6,1,7,5,3,2,4]=>{{1,2,6},{3,4,5,7}}=>4
[6,1,7,5,3,4,2]=>{{1,2,3,4,5,6,7}}=>7
[6,1,7,5,4,2,3]=>{{1,2,6},{3,7},{4,5}}=>3
[6,1,7,5,4,3,2]=>{{1,2,3,6,7},{4,5}}=>5
[6,2,1,3,4,5,7]=>{{1,3,4,5,6},{2},{7}}=>5
[6,2,1,3,4,7,5]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,1,3,5,4,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[6,2,1,3,5,7,4]=>{{1,3,4,6,7},{2},{5}}=>5
[6,2,1,3,7,4,5]=>{{1,3,4,6},{2},{5,7}}=>4
[6,2,1,3,7,5,4]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,1,4,3,5,7]=>{{1,3,5,6},{2},{4},{7}}=>4
[6,2,1,4,3,7,5]=>{{1,3,5,6,7},{2},{4}}=>5
[6,2,1,4,5,3,7]=>{{1,3,6},{2},{4},{5},{7}}=>3
[6,2,1,4,5,7,3]=>{{1,3,6,7},{2},{4},{5}}=>4
[6,2,1,4,7,3,5]=>{{1,3,6},{2},{4},{5,7}}=>3
[6,2,1,4,7,5,3]=>{{1,3,5,6,7},{2},{4}}=>5
[6,2,1,5,3,4,7]=>{{1,3,4,5,6},{2},{7}}=>5
[6,2,1,5,3,7,4]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,1,5,4,3,7]=>{{1,3,6},{2},{4,5},{7}}=>3
[6,2,1,5,4,7,3]=>{{1,3,6,7},{2},{4,5}}=>4
[6,2,1,5,7,3,4]=>{{1,3,6},{2},{4,5,7}}=>3
[6,2,1,5,7,4,3]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,1,7,3,4,5]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,1,7,3,5,4]=>{{1,3,5,6},{2},{4,7}}=>4
[6,2,1,7,4,3,5]=>{{1,3,6},{2},{4,5,7}}=>3
[6,2,1,7,4,5,3]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,1,7,5,3,4]=>{{1,3,6},{2},{4,7},{5}}=>3
[6,2,1,7,5,4,3]=>{{1,3,4,6,7},{2},{5}}=>5
[6,2,3,1,4,5,7]=>{{1,4,5,6},{2},{3},{7}}=>4
[6,2,3,1,4,7,5]=>{{1,4,5,6,7},{2},{3}}=>5
[6,2,3,1,5,4,7]=>{{1,4,6},{2},{3},{5},{7}}=>3
[6,2,3,1,5,7,4]=>{{1,4,6,7},{2},{3},{5}}=>4
[6,2,3,1,7,4,5]=>{{1,4,6},{2},{3},{5,7}}=>3
[6,2,3,1,7,5,4]=>{{1,4,5,6,7},{2},{3}}=>5
[6,2,3,4,1,5,7]=>{{1,5,6},{2},{3},{4},{7}}=>3
[6,2,3,4,1,7,5]=>{{1,5,6,7},{2},{3},{4}}=>4
[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>2
[6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}}=>3
[6,2,3,4,7,1,5]=>{{1,6},{2},{3},{4},{5,7}}=>2
[6,2,3,4,7,5,1]=>{{1,5,6,7},{2},{3},{4}}=>4
[6,2,3,5,1,4,7]=>{{1,4,5,6},{2},{3},{7}}=>4
[6,2,3,5,1,7,4]=>{{1,4,5,6,7},{2},{3}}=>5
[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>2
[6,2,3,5,4,7,1]=>{{1,6,7},{2},{3},{4,5}}=>3
[6,2,3,5,7,1,4]=>{{1,6},{2},{3},{4,5,7}}=>3
[6,2,3,5,7,4,1]=>{{1,4,5,6,7},{2},{3}}=>5
[6,2,3,7,1,4,5]=>{{1,4,5,6,7},{2},{3}}=>5
[6,2,3,7,1,5,4]=>{{1,5,6},{2},{3},{4,7}}=>3
[6,2,3,7,4,1,5]=>{{1,6},{2},{3},{4,5,7}}=>3
[6,2,3,7,4,5,1]=>{{1,4,5,6,7},{2},{3}}=>5
[6,2,3,7,5,1,4]=>{{1,6},{2},{3},{4,7},{5}}=>2
[6,2,3,7,5,4,1]=>{{1,4,6,7},{2},{3},{5}}=>4
[6,2,4,1,3,5,7]=>{{1,3,4,5,6},{2},{7}}=>5
[6,2,4,1,3,7,5]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,4,1,5,3,7]=>{{1,3,4,6},{2},{5},{7}}=>4
[6,2,4,1,5,7,3]=>{{1,3,4,6,7},{2},{5}}=>5
[6,2,4,1,7,3,5]=>{{1,3,4,6},{2},{5,7}}=>4
[6,2,4,1,7,5,3]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,4,3,1,5,7]=>{{1,5,6},{2},{3,4},{7}}=>3
[6,2,4,3,1,7,5]=>{{1,5,6,7},{2},{3,4}}=>4
[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>2
[6,2,4,3,5,7,1]=>{{1,6,7},{2},{3,4},{5}}=>3
[6,2,4,3,7,1,5]=>{{1,6},{2},{3,4},{5,7}}=>2
[6,2,4,3,7,5,1]=>{{1,5,6,7},{2},{3,4}}=>4
[6,2,4,5,1,3,7]=>{{1,3,4,5,6},{2},{7}}=>5
[6,2,4,5,1,7,3]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,4,5,3,1,7]=>{{1,6},{2},{3,4,5},{7}}=>3
[6,2,4,5,3,7,1]=>{{1,6,7},{2},{3,4,5}}=>3
[6,2,4,5,7,1,3]=>{{1,6},{2},{3,4,5,7}}=>4
[6,2,4,5,7,3,1]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,4,7,1,3,5]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,4,7,1,5,3]=>{{1,5,6},{2},{3,4,7}}=>3
[6,2,4,7,3,1,5]=>{{1,6},{2},{3,4,5,7}}=>4
[6,2,4,7,3,5,1]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,4,7,5,1,3]=>{{1,6},{2},{3,4,7},{5}}=>3
[6,2,4,7,5,3,1]=>{{1,3,4,6,7},{2},{5}}=>5
[6,2,5,1,3,4,7]=>{{1,4,6},{2},{3,5},{7}}=>3
[6,2,5,1,3,7,4]=>{{1,4,6,7},{2},{3,5}}=>4
[6,2,5,1,4,3,7]=>{{1,3,4,5,6},{2},{7}}=>5
[6,2,5,1,4,7,3]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,5,1,7,3,4]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,5,1,7,4,3]=>{{1,4,6},{2},{3,5,7}}=>3
[6,2,5,3,1,4,7]=>{{1,3,4,5,6},{2},{7}}=>5
[6,2,5,3,1,7,4]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,5,3,4,1,7]=>{{1,6},{2},{3,4,5},{7}}=>3
[6,2,5,3,4,7,1]=>{{1,6,7},{2},{3,4,5}}=>3
[6,2,5,3,7,1,4]=>{{1,6},{2},{3,4,5,7}}=>4
[6,2,5,3,7,4,1]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,5,4,1,3,7]=>{{1,3,5,6},{2},{4},{7}}=>4
[6,2,5,4,1,7,3]=>{{1,3,5,6,7},{2},{4}}=>5
[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>2
[6,2,5,4,3,7,1]=>{{1,6,7},{2},{3,5},{4}}=>3
[6,2,5,4,7,1,3]=>{{1,6},{2},{3,5,7},{4}}=>3
[6,2,5,4,7,3,1]=>{{1,3,5,6,7},{2},{4}}=>5
[6,2,5,7,1,3,4]=>{{1,3,5,6},{2},{4,7}}=>4
[6,2,5,7,1,4,3]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,5,7,3,1,4]=>{{1,6},{2},{3,5},{4,7}}=>2
[6,2,5,7,3,4,1]=>{{1,4,6,7},{2},{3,5}}=>4
[6,2,5,7,4,1,3]=>{{1,6},{2},{3,4,5,7}}=>4
[6,2,5,7,4,3,1]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,7,1,3,4,5]=>{{1,4,6},{2},{3,5,7}}=>3
[6,2,7,1,3,5,4]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,7,1,4,3,5]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,7,1,4,5,3]=>{{1,4,5,6},{2},{3,7}}=>4
[6,2,7,1,5,3,4]=>{{1,3,4,6,7},{2},{5}}=>5
[6,2,7,1,5,4,3]=>{{1,4,6},{2},{3,7},{5}}=>3
[6,2,7,3,1,4,5]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,7,3,1,5,4]=>{{1,5,6},{2},{3,4,7}}=>3
[6,2,7,3,4,1,5]=>{{1,6},{2},{3,4,5,7}}=>4
[6,2,7,3,4,5,1]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,7,3,5,1,4]=>{{1,6},{2},{3,4,7},{5}}=>3
[6,2,7,3,5,4,1]=>{{1,3,4,6,7},{2},{5}}=>5
[6,2,7,4,1,3,5]=>{{1,3,5,6,7},{2},{4}}=>5
[6,2,7,4,1,5,3]=>{{1,5,6},{2},{3,7},{4}}=>3
[6,2,7,4,3,1,5]=>{{1,6},{2},{3,5,7},{4}}=>3
[6,2,7,4,3,5,1]=>{{1,3,5,6,7},{2},{4}}=>5
[6,2,7,4,5,1,3]=>{{1,6},{2},{3,7},{4},{5}}=>2
[6,2,7,4,5,3,1]=>{{1,3,6,7},{2},{4},{5}}=>4
[6,2,7,5,1,3,4]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,7,5,1,4,3]=>{{1,4,5,6},{2},{3,7}}=>4
[6,2,7,5,3,1,4]=>{{1,6},{2},{3,4,5,7}}=>4
[6,2,7,5,3,4,1]=>{{1,3,4,5,6,7},{2}}=>6
[6,2,7,5,4,1,3]=>{{1,6},{2},{3,7},{4,5}}=>2
[6,2,7,5,4,3,1]=>{{1,3,6,7},{2},{4,5}}=>4
[6,3,1,2,4,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,3,1,2,4,7,5]=>{{1,2,3,4,5,6,7}}=>7
[6,3,1,2,5,4,7]=>{{1,2,3,4,6},{5},{7}}=>5
[6,3,1,2,5,7,4]=>{{1,2,3,4,6,7},{5}}=>6
[6,3,1,2,7,4,5]=>{{1,2,3,4,6},{5,7}}=>5
[6,3,1,2,7,5,4]=>{{1,2,3,4,5,6,7}}=>7
[6,3,1,4,2,5,7]=>{{1,2,3,5,6},{4},{7}}=>5
[6,3,1,4,2,7,5]=>{{1,2,3,5,6,7},{4}}=>6
[6,3,1,4,5,2,7]=>{{1,2,3,6},{4},{5},{7}}=>4
[6,3,1,4,5,7,2]=>{{1,2,3,6,7},{4},{5}}=>5
[6,3,1,4,7,2,5]=>{{1,2,3,6},{4},{5,7}}=>4
[6,3,1,4,7,5,2]=>{{1,2,3,5,6,7},{4}}=>6
[6,3,1,5,2,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,3,1,5,2,7,4]=>{{1,2,3,4,5,6,7}}=>7
[6,3,1,5,4,2,7]=>{{1,2,3,6},{4,5},{7}}=>4
[6,3,1,5,4,7,2]=>{{1,2,3,6,7},{4,5}}=>5
[6,3,1,5,7,2,4]=>{{1,2,3,6},{4,5,7}}=>4
[6,3,1,5,7,4,2]=>{{1,2,3,4,5,6,7}}=>7
[6,3,1,7,2,4,5]=>{{1,2,3,4,5,6,7}}=>7
[6,3,1,7,2,5,4]=>{{1,2,3,5,6},{4,7}}=>5
[6,3,1,7,4,2,5]=>{{1,2,3,6},{4,5,7}}=>4
[6,3,1,7,4,5,2]=>{{1,2,3,4,5,6,7}}=>7
[6,3,1,7,5,2,4]=>{{1,2,3,6},{4,7},{5}}=>4
[6,3,1,7,5,4,2]=>{{1,2,3,4,6,7},{5}}=>6
[6,3,2,1,4,5,7]=>{{1,4,5,6},{2,3},{7}}=>4
[6,3,2,1,4,7,5]=>{{1,4,5,6,7},{2,3}}=>5
[6,3,2,1,5,4,7]=>{{1,4,6},{2,3},{5},{7}}=>3
[6,3,2,1,5,7,4]=>{{1,4,6,7},{2,3},{5}}=>4
[6,3,2,1,7,4,5]=>{{1,4,6},{2,3},{5,7}}=>3
[6,3,2,1,7,5,4]=>{{1,4,5,6,7},{2,3}}=>5
[6,3,2,4,1,5,7]=>{{1,5,6},{2,3},{4},{7}}=>3
[6,3,2,4,1,7,5]=>{{1,5,6,7},{2,3},{4}}=>4
[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>2
[6,3,2,4,5,7,1]=>{{1,6,7},{2,3},{4},{5}}=>3
[6,3,2,4,7,1,5]=>{{1,6},{2,3},{4},{5,7}}=>2
[6,3,2,4,7,5,1]=>{{1,5,6,7},{2,3},{4}}=>4
[6,3,2,5,1,4,7]=>{{1,4,5,6},{2,3},{7}}=>4
[6,3,2,5,1,7,4]=>{{1,4,5,6,7},{2,3}}=>5
[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>2
[6,3,2,5,4,7,1]=>{{1,6,7},{2,3},{4,5}}=>3
[6,3,2,5,7,1,4]=>{{1,6},{2,3},{4,5,7}}=>3
[6,3,2,5,7,4,1]=>{{1,4,5,6,7},{2,3}}=>5
[6,3,2,7,1,4,5]=>{{1,4,5,6,7},{2,3}}=>5
[6,3,2,7,1,5,4]=>{{1,5,6},{2,3},{4,7}}=>3
[6,3,2,7,4,1,5]=>{{1,6},{2,3},{4,5,7}}=>3
[6,3,2,7,4,5,1]=>{{1,4,5,6,7},{2,3}}=>5
[6,3,2,7,5,1,4]=>{{1,6},{2,3},{4,7},{5}}=>2
[6,3,2,7,5,4,1]=>{{1,4,6,7},{2,3},{5}}=>4
[6,3,4,1,2,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,3,4,1,2,7,5]=>{{1,2,3,4,5,6,7}}=>7
[6,3,4,1,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>5
[6,3,4,1,5,7,2]=>{{1,2,3,4,6,7},{5}}=>6
[6,3,4,1,7,2,5]=>{{1,2,3,4,6},{5,7}}=>5
[6,3,4,1,7,5,2]=>{{1,2,3,4,5,6,7}}=>7
[6,3,4,2,1,5,7]=>{{1,5,6},{2,3,4},{7}}=>3
[6,3,4,2,1,7,5]=>{{1,5,6,7},{2,3,4}}=>4
[6,3,4,2,5,1,7]=>{{1,6},{2,3,4},{5},{7}}=>3
[6,3,4,2,5,7,1]=>{{1,6,7},{2,3,4},{5}}=>3
[6,3,4,2,7,1,5]=>{{1,6},{2,3,4},{5,7}}=>3
[6,3,4,2,7,5,1]=>{{1,5,6,7},{2,3,4}}=>4
[6,3,4,5,1,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,3,4,5,1,7,2]=>{{1,2,3,4,5,6,7}}=>7
[6,3,4,5,2,1,7]=>{{1,6},{2,3,4,5},{7}}=>4
[6,3,4,5,2,7,1]=>{{1,6,7},{2,3,4,5}}=>4
[6,3,4,5,7,1,2]=>{{1,6},{2,3,4,5,7}}=>5
[6,3,4,5,7,2,1]=>{{1,2,3,4,5,6,7}}=>7
[6,3,4,7,1,2,5]=>{{1,2,3,4,5,6,7}}=>7
[6,3,4,7,1,5,2]=>{{1,5,6},{2,3,4,7}}=>4
[6,3,4,7,2,1,5]=>{{1,6},{2,3,4,5,7}}=>5
[6,3,4,7,2,5,1]=>{{1,2,3,4,5,6,7}}=>7
[6,3,4,7,5,1,2]=>{{1,6},{2,3,4,7},{5}}=>4
[6,3,4,7,5,2,1]=>{{1,2,3,4,6,7},{5}}=>6
[6,3,5,1,2,4,7]=>{{1,4,6},{2,3,5},{7}}=>3
[6,3,5,1,2,7,4]=>{{1,4,6,7},{2,3,5}}=>4
[6,3,5,1,4,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,3,5,1,4,7,2]=>{{1,2,3,4,5,6,7}}=>7
[6,3,5,1,7,2,4]=>{{1,2,3,4,5,6,7}}=>7
[6,3,5,1,7,4,2]=>{{1,4,6},{2,3,5,7}}=>4
[6,3,5,2,1,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,3,5,2,1,7,4]=>{{1,2,3,4,5,6,7}}=>7
[6,3,5,2,4,1,7]=>{{1,6},{2,3,4,5},{7}}=>4
[6,3,5,2,4,7,1]=>{{1,6,7},{2,3,4,5}}=>4
[6,3,5,2,7,1,4]=>{{1,6},{2,3,4,5,7}}=>5
[6,3,5,2,7,4,1]=>{{1,2,3,4,5,6,7}}=>7
[6,3,5,4,1,2,7]=>{{1,2,3,5,6},{4},{7}}=>5
[6,3,5,4,1,7,2]=>{{1,2,3,5,6,7},{4}}=>6
[6,3,5,4,2,1,7]=>{{1,6},{2,3,5},{4},{7}}=>3
[6,3,5,4,2,7,1]=>{{1,6,7},{2,3,5},{4}}=>3
[6,3,5,4,7,1,2]=>{{1,6},{2,3,5,7},{4}}=>4
[6,3,5,4,7,2,1]=>{{1,2,3,5,6,7},{4}}=>6
[6,3,5,7,1,2,4]=>{{1,2,3,5,6},{4,7}}=>5
[6,3,5,7,1,4,2]=>{{1,2,3,4,5,6,7}}=>7
[6,3,5,7,2,1,4]=>{{1,6},{2,3,5},{4,7}}=>3
[6,3,5,7,2,4,1]=>{{1,4,6,7},{2,3,5}}=>4
[6,3,5,7,4,1,2]=>{{1,6},{2,3,4,5,7}}=>5
[6,3,5,7,4,2,1]=>{{1,2,3,4,5,6,7}}=>7
[6,3,7,1,2,4,5]=>{{1,4,6},{2,3,5,7}}=>4
[6,3,7,1,2,5,4]=>{{1,2,3,4,5,6,7}}=>7
[6,3,7,1,4,2,5]=>{{1,2,3,4,5,6,7}}=>7
[6,3,7,1,4,5,2]=>{{1,4,5,6},{2,3,7}}=>4
[6,3,7,1,5,2,4]=>{{1,2,3,4,6,7},{5}}=>6
[6,3,7,1,5,4,2]=>{{1,4,6},{2,3,7},{5}}=>3
[6,3,7,2,1,4,5]=>{{1,2,3,4,5,6,7}}=>7
[6,3,7,2,1,5,4]=>{{1,5,6},{2,3,4,7}}=>4
[6,3,7,2,4,1,5]=>{{1,6},{2,3,4,5,7}}=>5
[6,3,7,2,4,5,1]=>{{1,2,3,4,5,6,7}}=>7
[6,3,7,2,5,1,4]=>{{1,6},{2,3,4,7},{5}}=>4
[6,3,7,2,5,4,1]=>{{1,2,3,4,6,7},{5}}=>6
[6,3,7,4,1,2,5]=>{{1,2,3,5,6,7},{4}}=>6
[6,3,7,4,1,5,2]=>{{1,5,6},{2,3,7},{4}}=>3
[6,3,7,4,2,1,5]=>{{1,6},{2,3,5,7},{4}}=>4
[6,3,7,4,2,5,1]=>{{1,2,3,5,6,7},{4}}=>6
[6,3,7,4,5,1,2]=>{{1,6},{2,3,7},{4},{5}}=>3
[6,3,7,4,5,2,1]=>{{1,2,3,6,7},{4},{5}}=>5
[6,3,7,5,1,2,4]=>{{1,2,3,4,5,6,7}}=>7
[6,3,7,5,1,4,2]=>{{1,4,5,6},{2,3,7}}=>4
[6,3,7,5,2,1,4]=>{{1,6},{2,3,4,5,7}}=>5
[6,3,7,5,2,4,1]=>{{1,2,3,4,5,6,7}}=>7
[6,3,7,5,4,1,2]=>{{1,6},{2,3,7},{4,5}}=>3
[6,3,7,5,4,2,1]=>{{1,2,3,6,7},{4,5}}=>5
[6,4,1,2,3,5,7]=>{{1,3,5,6},{2,4},{7}}=>4
[6,4,1,2,3,7,5]=>{{1,3,5,6,7},{2,4}}=>5
[6,4,1,2,5,3,7]=>{{1,3,6},{2,4},{5},{7}}=>3
[6,4,1,2,5,7,3]=>{{1,3,6,7},{2,4},{5}}=>4
[6,4,1,2,7,3,5]=>{{1,3,6},{2,4},{5,7}}=>3
[6,4,1,2,7,5,3]=>{{1,3,5,6,7},{2,4}}=>5
[6,4,1,3,2,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,4,1,3,2,7,5]=>{{1,2,3,4,5,6,7}}=>7
[6,4,1,3,5,2,7]=>{{1,2,3,4,6},{5},{7}}=>5
[6,4,1,3,5,7,2]=>{{1,2,3,4,6,7},{5}}=>6
[6,4,1,3,7,2,5]=>{{1,2,3,4,6},{5,7}}=>5
[6,4,1,3,7,5,2]=>{{1,2,3,4,5,6,7}}=>7
[6,4,1,5,2,3,7]=>{{1,3,6},{2,4,5},{7}}=>3
[6,4,1,5,2,7,3]=>{{1,3,6,7},{2,4,5}}=>4
[6,4,1,5,3,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,4,1,5,3,7,2]=>{{1,2,3,4,5,6,7}}=>7
[6,4,1,5,7,2,3]=>{{1,2,3,4,5,6,7}}=>7
[6,4,1,5,7,3,2]=>{{1,3,6},{2,4,5,7}}=>4
[6,4,1,7,2,3,5]=>{{1,3,6},{2,4,5,7}}=>4
[6,4,1,7,2,5,3]=>{{1,2,3,4,5,6,7}}=>7
[6,4,1,7,3,2,5]=>{{1,2,3,4,5,6,7}}=>7
[6,4,1,7,3,5,2]=>{{1,3,5,6},{2,4,7}}=>4
[6,4,1,7,5,2,3]=>{{1,2,3,4,6,7},{5}}=>6
[6,4,1,7,5,3,2]=>{{1,3,6},{2,4,7},{5}}=>3
[6,4,2,1,3,5,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,4,2,1,3,7,5]=>{{1,2,3,4,5,6,7}}=>7
[6,4,2,1,5,3,7]=>{{1,2,3,4,6},{5},{7}}=>5
[6,4,2,1,5,7,3]=>{{1,2,3,4,6,7},{5}}=>6
[6,4,2,1,7,3,5]=>{{1,2,3,4,6},{5,7}}=>5
[6,4,2,1,7,5,3]=>{{1,2,3,4,5,6,7}}=>7
[6,4,2,3,1,5,7]=>{{1,5,6},{2,3,4},{7}}=>3
[6,4,2,3,1,7,5]=>{{1,5,6,7},{2,3,4}}=>4
[6,4,2,3,5,1,7]=>{{1,6},{2,3,4},{5},{7}}=>3
[6,4,2,3,5,7,1]=>{{1,6,7},{2,3,4},{5}}=>3
[6,4,2,3,7,1,5]=>{{1,6},{2,3,4},{5,7}}=>3
[6,4,2,3,7,5,1]=>{{1,5,6,7},{2,3,4}}=>4
[6,4,2,5,1,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,4,2,5,1,7,3]=>{{1,2,3,4,5,6,7}}=>7
[6,4,2,5,3,1,7]=>{{1,6},{2,3,4,5},{7}}=>4
[6,4,2,5,3,7,1]=>{{1,6,7},{2,3,4,5}}=>4
[6,4,2,5,7,1,3]=>{{1,6},{2,3,4,5,7}}=>5
[6,4,2,5,7,3,1]=>{{1,2,3,4,5,6,7}}=>7
[6,4,2,7,1,3,5]=>{{1,2,3,4,5,6,7}}=>7
[6,4,2,7,1,5,3]=>{{1,5,6},{2,3,4,7}}=>4
[6,4,2,7,3,1,5]=>{{1,6},{2,3,4,5,7}}=>5
[6,4,2,7,3,5,1]=>{{1,2,3,4,5,6,7}}=>7
[6,4,2,7,5,1,3]=>{{1,6},{2,3,4,7},{5}}=>4
[6,4,2,7,5,3,1]=>{{1,2,3,4,6,7},{5}}=>6
[6,4,3,1,2,5,7]=>{{1,2,4,5,6},{3},{7}}=>5
[6,4,3,1,2,7,5]=>{{1,2,4,5,6,7},{3}}=>6
[6,4,3,1,5,2,7]=>{{1,2,4,6},{3},{5},{7}}=>4
[6,4,3,1,5,7,2]=>{{1,2,4,6,7},{3},{5}}=>5
[6,4,3,1,7,2,5]=>{{1,2,4,6},{3},{5,7}}=>4
[6,4,3,1,7,5,2]=>{{1,2,4,5,6,7},{3}}=>6
[6,4,3,2,1,5,7]=>{{1,5,6},{2,4},{3},{7}}=>3
[6,4,3,2,1,7,5]=>{{1,5,6,7},{2,4},{3}}=>4
[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>2
[6,4,3,2,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>3
[6,4,3,2,7,1,5]=>{{1,6},{2,4},{3},{5,7}}=>2
[6,4,3,2,7,5,1]=>{{1,5,6,7},{2,4},{3}}=>4
[6,4,3,5,1,2,7]=>{{1,2,4,5,6},{3},{7}}=>5
[6,4,3,5,1,7,2]=>{{1,2,4,5,6,7},{3}}=>6
[6,4,3,5,2,1,7]=>{{1,6},{2,4,5},{3},{7}}=>3
[6,4,3,5,2,7,1]=>{{1,6,7},{2,4,5},{3}}=>3
[6,4,3,5,7,1,2]=>{{1,6},{2,4,5,7},{3}}=>4
[6,4,3,5,7,2,1]=>{{1,2,4,5,6,7},{3}}=>6
[6,4,3,7,1,2,5]=>{{1,2,4,5,6,7},{3}}=>6
[6,4,3,7,1,5,2]=>{{1,5,6},{2,4,7},{3}}=>3
[6,4,3,7,2,1,5]=>{{1,6},{2,4,5,7},{3}}=>4
[6,4,3,7,2,5,1]=>{{1,2,4,5,6,7},{3}}=>6
[6,4,3,7,5,1,2]=>{{1,6},{2,4,7},{3},{5}}=>3
[6,4,3,7,5,2,1]=>{{1,2,4,6,7},{3},{5}}=>5
[6,4,5,1,2,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,4,5,1,2,7,3]=>{{1,2,3,4,5,6,7}}=>7
[6,4,5,1,3,2,7]=>{{1,2,4,6},{3,5},{7}}=>4
[6,4,5,1,3,7,2]=>{{1,2,4,6,7},{3,5}}=>5
[6,4,5,1,7,2,3]=>{{1,2,4,6},{3,5,7}}=>4
[6,4,5,1,7,3,2]=>{{1,2,3,4,5,6,7}}=>7
[6,4,5,2,1,3,7]=>{{1,3,5,6},{2,4},{7}}=>4
[6,4,5,2,1,7,3]=>{{1,3,5,6,7},{2,4}}=>5
[6,4,5,2,3,1,7]=>{{1,6},{2,4},{3,5},{7}}=>2
[6,4,5,2,3,7,1]=>{{1,6,7},{2,4},{3,5}}=>3
[6,4,5,2,7,1,3]=>{{1,6},{2,4},{3,5,7}}=>3
[6,4,5,2,7,3,1]=>{{1,3,5,6,7},{2,4}}=>5
[6,4,5,3,1,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,4,5,3,1,7,2]=>{{1,2,3,4,5,6,7}}=>7
[6,4,5,3,2,1,7]=>{{1,6},{2,3,4,5},{7}}=>4
[6,4,5,3,2,7,1]=>{{1,6,7},{2,3,4,5}}=>4
[6,4,5,3,7,1,2]=>{{1,6},{2,3,4,5,7}}=>5
[6,4,5,3,7,2,1]=>{{1,2,3,4,5,6,7}}=>7
[6,4,5,7,1,2,3]=>{{1,2,3,4,5,6,7}}=>7
[6,4,5,7,1,3,2]=>{{1,3,5,6},{2,4,7}}=>4
[6,4,5,7,2,1,3]=>{{1,6},{2,3,4,5,7}}=>5
[6,4,5,7,2,3,1]=>{{1,2,3,4,5,6,7}}=>7
[6,4,5,7,3,1,2]=>{{1,6},{2,4,7},{3,5}}=>3
[6,4,5,7,3,2,1]=>{{1,2,4,6,7},{3,5}}=>5
[6,4,7,1,2,3,5]=>{{1,2,3,4,5,6,7}}=>7
[6,4,7,1,2,5,3]=>{{1,2,4,5,6},{3,7}}=>5
[6,4,7,1,3,2,5]=>{{1,2,4,6},{3,5,7}}=>4
[6,4,7,1,3,5,2]=>{{1,2,3,4,5,6,7}}=>7
[6,4,7,1,5,2,3]=>{{1,2,4,6},{3,7},{5}}=>4
[6,4,7,1,5,3,2]=>{{1,2,3,4,6,7},{5}}=>6
[6,4,7,2,1,3,5]=>{{1,3,5,6,7},{2,4}}=>5
[6,4,7,2,1,5,3]=>{{1,5,6},{2,4},{3,7}}=>3
[6,4,7,2,3,1,5]=>{{1,6},{2,4},{3,5,7}}=>3
[6,4,7,2,3,5,1]=>{{1,3,5,6,7},{2,4}}=>5
[6,4,7,2,5,1,3]=>{{1,6},{2,4},{3,7},{5}}=>2
[6,4,7,2,5,3,1]=>{{1,3,6,7},{2,4},{5}}=>4
[6,4,7,3,1,2,5]=>{{1,2,3,4,5,6,7}}=>7
[6,4,7,3,1,5,2]=>{{1,5,6},{2,3,4,7}}=>4
[6,4,7,3,2,1,5]=>{{1,6},{2,3,4,5,7}}=>5
[6,4,7,3,2,5,1]=>{{1,2,3,4,5,6,7}}=>7
[6,4,7,3,5,1,2]=>{{1,6},{2,3,4,7},{5}}=>4
[6,4,7,3,5,2,1]=>{{1,2,3,4,6,7},{5}}=>6
[6,4,7,5,1,2,3]=>{{1,2,4,5,6},{3,7}}=>5
[6,4,7,5,1,3,2]=>{{1,2,3,4,5,6,7}}=>7
[6,4,7,5,2,1,3]=>{{1,6},{2,4,5},{3,7}}=>3
[6,4,7,5,2,3,1]=>{{1,3,6,7},{2,4,5}}=>4
[6,4,7,5,3,1,2]=>{{1,6},{2,3,4,5,7}}=>5
[6,4,7,5,3,2,1]=>{{1,2,3,4,5,6,7}}=>7
[6,5,1,2,3,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,5,1,2,3,7,4]=>{{1,2,3,4,5,6,7}}=>7
[6,5,1,2,4,3,7]=>{{1,3,6},{2,4,5},{7}}=>3
[6,5,1,2,4,7,3]=>{{1,3,6,7},{2,4,5}}=>4
[6,5,1,2,7,3,4]=>{{1,3,6},{2,4,5,7}}=>4
[6,5,1,2,7,4,3]=>{{1,2,3,4,5,6,7}}=>7
[6,5,1,3,2,4,7]=>{{1,3,4,6},{2,5},{7}}=>4
[6,5,1,3,2,7,4]=>{{1,3,4,6,7},{2,5}}=>5
[6,5,1,3,4,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,5,1,3,4,7,2]=>{{1,2,3,4,5,6,7}}=>7
[6,5,1,3,7,2,4]=>{{1,2,3,4,5,6,7}}=>7
[6,5,1,3,7,4,2]=>{{1,3,4,6},{2,5,7}}=>4
[6,5,1,4,2,3,7]=>{{1,3,6},{2,5},{4},{7}}=>3
[6,5,1,4,2,7,3]=>{{1,3,6,7},{2,5},{4}}=>4
[6,5,1,4,3,2,7]=>{{1,2,3,5,6},{4},{7}}=>5
[6,5,1,4,3,7,2]=>{{1,2,3,5,6,7},{4}}=>6
[6,5,1,4,7,2,3]=>{{1,2,3,5,6,7},{4}}=>6
[6,5,1,4,7,3,2]=>{{1,3,6},{2,5,7},{4}}=>3
[6,5,1,7,2,3,4]=>{{1,3,6},{2,5},{4,7}}=>3
[6,5,1,7,2,4,3]=>{{1,3,4,6,7},{2,5}}=>5
[6,5,1,7,3,2,4]=>{{1,2,3,5,6},{4,7}}=>5
[6,5,1,7,3,4,2]=>{{1,2,3,4,5,6,7}}=>7
[6,5,1,7,4,2,3]=>{{1,2,3,4,5,6,7}}=>7
[6,5,1,7,4,3,2]=>{{1,3,6},{2,4,5,7}}=>4
[6,5,2,1,3,4,7]=>{{1,4,6},{2,3,5},{7}}=>3
[6,5,2,1,3,7,4]=>{{1,4,6,7},{2,3,5}}=>4
[6,5,2,1,4,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,5,2,1,4,7,3]=>{{1,2,3,4,5,6,7}}=>7
[6,5,2,1,7,3,4]=>{{1,2,3,4,5,6,7}}=>7
[6,5,2,1,7,4,3]=>{{1,4,6},{2,3,5,7}}=>4
[6,5,2,3,1,4,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,5,2,3,1,7,4]=>{{1,2,3,4,5,6,7}}=>7
[6,5,2,3,4,1,7]=>{{1,6},{2,3,4,5},{7}}=>4
[6,5,2,3,4,7,1]=>{{1,6,7},{2,3,4,5}}=>4
[6,5,2,3,7,1,4]=>{{1,6},{2,3,4,5,7}}=>5
[6,5,2,3,7,4,1]=>{{1,2,3,4,5,6,7}}=>7
[6,5,2,4,1,3,7]=>{{1,2,3,5,6},{4},{7}}=>5
[6,5,2,4,1,7,3]=>{{1,2,3,5,6,7},{4}}=>6
[6,5,2,4,3,1,7]=>{{1,6},{2,3,5},{4},{7}}=>3
[6,5,2,4,3,7,1]=>{{1,6,7},{2,3,5},{4}}=>3
[6,5,2,4,7,1,3]=>{{1,6},{2,3,5,7},{4}}=>4
[6,5,2,4,7,3,1]=>{{1,2,3,5,6,7},{4}}=>6
[6,5,2,7,1,3,4]=>{{1,2,3,5,6},{4,7}}=>5
[6,5,2,7,1,4,3]=>{{1,2,3,4,5,6,7}}=>7
[6,5,2,7,3,1,4]=>{{1,6},{2,3,5},{4,7}}=>3
[6,5,2,7,3,4,1]=>{{1,4,6,7},{2,3,5}}=>4
[6,5,2,7,4,1,3]=>{{1,6},{2,3,4,5,7}}=>5
[6,5,2,7,4,3,1]=>{{1,2,3,4,5,6,7}}=>7
[6,5,3,1,2,4,7]=>{{1,4,6},{2,5},{3},{7}}=>3
[6,5,3,1,2,7,4]=>{{1,4,6,7},{2,5},{3}}=>4
[6,5,3,1,4,2,7]=>{{1,2,4,5,6},{3},{7}}=>5
[6,5,3,1,4,7,2]=>{{1,2,4,5,6,7},{3}}=>6
[6,5,3,1,7,2,4]=>{{1,2,4,5,6,7},{3}}=>6
[6,5,3,1,7,4,2]=>{{1,4,6},{2,5,7},{3}}=>3
[6,5,3,2,1,4,7]=>{{1,2,4,5,6},{3},{7}}=>5
[6,5,3,2,1,7,4]=>{{1,2,4,5,6,7},{3}}=>6
[6,5,3,2,4,1,7]=>{{1,6},{2,4,5},{3},{7}}=>3
[6,5,3,2,4,7,1]=>{{1,6,7},{2,4,5},{3}}=>3
[6,5,3,2,7,1,4]=>{{1,6},{2,4,5,7},{3}}=>4
[6,5,3,2,7,4,1]=>{{1,2,4,5,6,7},{3}}=>6
[6,5,3,4,1,2,7]=>{{1,2,5,6},{3},{4},{7}}=>4
[6,5,3,4,1,7,2]=>{{1,2,5,6,7},{3},{4}}=>5
[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>2
[6,5,3,4,2,7,1]=>{{1,6,7},{2,5},{3},{4}}=>3
[6,5,3,4,7,1,2]=>{{1,6},{2,5,7},{3},{4}}=>3
[6,5,3,4,7,2,1]=>{{1,2,5,6,7},{3},{4}}=>5
[6,5,3,7,1,2,4]=>{{1,2,5,6},{3},{4,7}}=>4
[6,5,3,7,1,4,2]=>{{1,2,4,5,6,7},{3}}=>6
[6,5,3,7,2,1,4]=>{{1,6},{2,5},{3},{4,7}}=>2
[6,5,3,7,2,4,1]=>{{1,4,6,7},{2,5},{3}}=>4
[6,5,3,7,4,1,2]=>{{1,6},{2,4,5,7},{3}}=>4
[6,5,3,7,4,2,1]=>{{1,2,4,5,6,7},{3}}=>6
[6,5,4,1,2,3,7]=>{{1,3,4,6},{2,5},{7}}=>4
[6,5,4,1,2,7,3]=>{{1,3,4,6,7},{2,5}}=>5
[6,5,4,1,3,2,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,5,4,1,3,7,2]=>{{1,2,3,4,5,6,7}}=>7
[6,5,4,1,7,2,3]=>{{1,2,3,4,5,6,7}}=>7
[6,5,4,1,7,3,2]=>{{1,3,4,6},{2,5,7}}=>4
[6,5,4,2,1,3,7]=>{{1,2,3,4,5,6},{7}}=>6
[6,5,4,2,1,7,3]=>{{1,2,3,4,5,6,7}}=>7
[6,5,4,2,3,1,7]=>{{1,6},{2,3,4,5},{7}}=>4
[6,5,4,2,3,7,1]=>{{1,6,7},{2,3,4,5}}=>4
[6,5,4,2,7,1,3]=>{{1,6},{2,3,4,5,7}}=>5
[6,5,4,2,7,3,1]=>{{1,2,3,4,5,6,7}}=>7
[6,5,4,3,1,2,7]=>{{1,2,5,6},{3,4},{7}}=>4
[6,5,4,3,1,7,2]=>{{1,2,5,6,7},{3,4}}=>5
[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>2
[6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}}=>3
[6,5,4,3,7,1,2]=>{{1,6},{2,5,7},{3,4}}=>3
[6,5,4,3,7,2,1]=>{{1,2,5,6,7},{3,4}}=>5
[6,5,4,7,1,2,3]=>{{1,2,5,6},{3,4,7}}=>4
[6,5,4,7,1,3,2]=>{{1,2,3,4,5,6,7}}=>7
[6,5,4,7,2,1,3]=>{{1,6},{2,5},{3,4,7}}=>3
[6,5,4,7,2,3,1]=>{{1,3,4,6,7},{2,5}}=>5
[6,5,4,7,3,1,2]=>{{1,6},{2,3,4,5,7}}=>5
[6,5,4,7,3,2,1]=>{{1,2,3,4,5,6,7}}=>7
[6,5,7,1,2,3,4]=>{{1,3,4,6,7},{2,5}}=>5
[6,5,7,1,2,4,3]=>{{1,4,6},{2,5},{3,7}}=>3
[6,5,7,1,3,2,4]=>{{1,2,3,4,5,6,7}}=>7
[6,5,7,1,3,4,2]=>{{1,4,6},{2,3,5,7}}=>4
[6,5,7,1,4,2,3]=>{{1,2,4,5,6},{3,7}}=>5
[6,5,7,1,4,3,2]=>{{1,2,3,4,5,6,7}}=>7
[6,5,7,2,1,3,4]=>{{1,2,3,4,5,6,7}}=>7
[6,5,7,2,1,4,3]=>{{1,2,4,5,6},{3,7}}=>5
[6,5,7,2,3,1,4]=>{{1,6},{2,3,4,5,7}}=>5
[6,5,7,2,3,4,1]=>{{1,2,3,4,5,6,7}}=>7
[6,5,7,2,4,1,3]=>{{1,6},{2,4,5},{3,7}}=>3
[6,5,7,2,4,3,1]=>{{1,3,6,7},{2,4,5}}=>4
[6,5,7,3,1,2,4]=>{{1,2,5,6},{3,4,7}}=>4
[6,5,7,3,1,4,2]=>{{1,2,3,4,5,6,7}}=>7
[6,5,7,3,2,1,4]=>{{1,6},{2,5},{3,4,7}}=>3
[6,5,7,3,2,4,1]=>{{1,3,4,6,7},{2,5}}=>5
[6,5,7,3,4,1,2]=>{{1,6},{2,3,4,5,7}}=>5
[6,5,7,3,4,2,1]=>{{1,2,3,4,5,6,7}}=>7
[6,5,7,4,1,2,3]=>{{1,2,5,6},{3,7},{4}}=>4
[6,5,7,4,1,3,2]=>{{1,2,3,5,6,7},{4}}=>6
[6,5,7,4,2,1,3]=>{{1,6},{2,5},{3,7},{4}}=>2
[6,5,7,4,2,3,1]=>{{1,3,6,7},{2,5},{4}}=>4
[6,5,7,4,3,1,2]=>{{1,6},{2,3,5,7},{4}}=>4
[6,5,7,4,3,2,1]=>{{1,2,3,5,6,7},{4}}=>6
[6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>7
[6,7,1,2,3,5,4]=>{{1,3,5,6},{2,4,7}}=>4
[6,7,1,2,4,3,5]=>{{1,3,6},{2,4,5,7}}=>4
[6,7,1,2,4,5,3]=>{{1,2,3,4,5,6,7}}=>7
[6,7,1,2,5,3,4]=>{{1,3,6},{2,4,7},{5}}=>3
[6,7,1,2,5,4,3]=>{{1,2,3,4,6,7},{5}}=>6
[6,7,1,3,2,4,5]=>{{1,3,4,6},{2,5,7}}=>4
[6,7,1,3,2,5,4]=>{{1,2,3,4,5,6,7}}=>7
[6,7,1,3,4,2,5]=>{{1,2,3,4,5,6,7}}=>7
[6,7,1,3,4,5,2]=>{{1,3,4,5,6},{2,7}}=>5
[6,7,1,3,5,2,4]=>{{1,2,3,4,6,7},{5}}=>6
[6,7,1,3,5,4,2]=>{{1,3,4,6},{2,7},{5}}=>4
[6,7,1,4,2,3,5]=>{{1,3,6},{2,5,7},{4}}=>3
[6,7,1,4,2,5,3]=>{{1,2,3,5,6,7},{4}}=>6
[6,7,1,4,3,2,5]=>{{1,2,3,5,6,7},{4}}=>6
[6,7,1,4,3,5,2]=>{{1,3,5,6},{2,7},{4}}=>4
[6,7,1,4,5,2,3]=>{{1,2,3,6,7},{4},{5}}=>5
[6,7,1,4,5,3,2]=>{{1,3,6},{2,7},{4},{5}}=>3
[6,7,1,5,2,3,4]=>{{1,3,6},{2,4,5,7}}=>4
[6,7,1,5,2,4,3]=>{{1,2,3,4,5,6,7}}=>7
[6,7,1,5,3,2,4]=>{{1,2,3,4,5,6,7}}=>7
[6,7,1,5,3,4,2]=>{{1,3,4,5,6},{2,7}}=>5
[6,7,1,5,4,2,3]=>{{1,2,3,6,7},{4,5}}=>5
[6,7,1,5,4,3,2]=>{{1,3,6},{2,7},{4,5}}=>3
[6,7,2,1,3,4,5]=>{{1,4,6},{2,3,5,7}}=>4
[6,7,2,1,3,5,4]=>{{1,2,3,4,5,6,7}}=>7
[6,7,2,1,4,3,5]=>{{1,2,3,4,5,6,7}}=>7
[6,7,2,1,4,5,3]=>{{1,4,5,6},{2,3,7}}=>4
[6,7,2,1,5,3,4]=>{{1,2,3,4,6,7},{5}}=>6
[6,7,2,1,5,4,3]=>{{1,4,6},{2,3,7},{5}}=>3
[6,7,2,3,1,4,5]=>{{1,2,3,4,5,6,7}}=>7
[6,7,2,3,1,5,4]=>{{1,5,6},{2,3,4,7}}=>4
[6,7,2,3,4,1,5]=>{{1,6},{2,3,4,5,7}}=>5
[6,7,2,3,4,5,1]=>{{1,2,3,4,5,6,7}}=>7
[6,7,2,3,5,1,4]=>{{1,6},{2,3,4,7},{5}}=>4
[6,7,2,3,5,4,1]=>{{1,2,3,4,6,7},{5}}=>6
[6,7,2,4,1,3,5]=>{{1,2,3,5,6,7},{4}}=>6
[6,7,2,4,1,5,3]=>{{1,5,6},{2,3,7},{4}}=>3
[6,7,2,4,3,1,5]=>{{1,6},{2,3,5,7},{4}}=>4
[6,7,2,4,3,5,1]=>{{1,2,3,5,6,7},{4}}=>6
[6,7,2,4,5,1,3]=>{{1,6},{2,3,7},{4},{5}}=>3
[6,7,2,4,5,3,1]=>{{1,2,3,6,7},{4},{5}}=>5
[6,7,2,5,1,3,4]=>{{1,2,3,4,5,6,7}}=>7
[6,7,2,5,1,4,3]=>{{1,4,5,6},{2,3,7}}=>4
[6,7,2,5,3,1,4]=>{{1,6},{2,3,4,5,7}}=>5
[6,7,2,5,3,4,1]=>{{1,2,3,4,5,6,7}}=>7
[6,7,2,5,4,1,3]=>{{1,6},{2,3,7},{4,5}}=>3
[6,7,2,5,4,3,1]=>{{1,2,3,6,7},{4,5}}=>5
[6,7,3,1,2,4,5]=>{{1,4,6},{2,5,7},{3}}=>3
[6,7,3,1,2,5,4]=>{{1,2,4,5,6,7},{3}}=>6
[6,7,3,1,4,2,5]=>{{1,2,4,5,6,7},{3}}=>6
[6,7,3,1,4,5,2]=>{{1,4,5,6},{2,7},{3}}=>4
[6,7,3,1,5,2,4]=>{{1,2,4,6,7},{3},{5}}=>5
[6,7,3,1,5,4,2]=>{{1,4,6},{2,7},{3},{5}}=>3
[6,7,3,2,1,4,5]=>{{1,2,4,5,6,7},{3}}=>6
[6,7,3,2,1,5,4]=>{{1,5,6},{2,4,7},{3}}=>3
[6,7,3,2,4,1,5]=>{{1,6},{2,4,5,7},{3}}=>4
[6,7,3,2,4,5,1]=>{{1,2,4,5,6,7},{3}}=>6
[6,7,3,2,5,1,4]=>{{1,6},{2,4,7},{3},{5}}=>3
[6,7,3,2,5,4,1]=>{{1,2,4,6,7},{3},{5}}=>5
[6,7,3,4,1,2,5]=>{{1,2,5,6,7},{3},{4}}=>5
[6,7,3,4,1,5,2]=>{{1,5,6},{2,7},{3},{4}}=>3
[6,7,3,4,2,1,5]=>{{1,6},{2,5,7},{3},{4}}=>3
[6,7,3,4,2,5,1]=>{{1,2,5,6,7},{3},{4}}=>5
[6,7,3,4,5,1,2]=>{{1,6},{2,7},{3},{4},{5}}=>2
[6,7,3,4,5,2,1]=>{{1,2,6,7},{3},{4},{5}}=>4
[6,7,3,5,1,2,4]=>{{1,2,4,5,6,7},{3}}=>6
[6,7,3,5,1,4,2]=>{{1,4,5,6},{2,7},{3}}=>4
[6,7,3,5,2,1,4]=>{{1,6},{2,4,5,7},{3}}=>4
[6,7,3,5,2,4,1]=>{{1,2,4,5,6,7},{3}}=>6
[6,7,3,5,4,1,2]=>{{1,6},{2,7},{3},{4,5}}=>2
[6,7,3,5,4,2,1]=>{{1,2,6,7},{3},{4,5}}=>4
[6,7,4,1,2,3,5]=>{{1,3,4,6},{2,5,7}}=>4
[6,7,4,1,2,5,3]=>{{1,2,3,4,5,6,7}}=>7
[6,7,4,1,3,2,5]=>{{1,2,3,4,5,6,7}}=>7
[6,7,4,1,3,5,2]=>{{1,3,4,5,6},{2,7}}=>5
[6,7,4,1,5,2,3]=>{{1,2,3,4,6,7},{5}}=>6
[6,7,4,1,5,3,2]=>{{1,3,4,6},{2,7},{5}}=>4
[6,7,4,2,1,3,5]=>{{1,2,3,4,5,6,7}}=>7
[6,7,4,2,1,5,3]=>{{1,5,6},{2,3,4,7}}=>4
[6,7,4,2,3,1,5]=>{{1,6},{2,3,4,5,7}}=>5
[6,7,4,2,3,5,1]=>{{1,2,3,4,5,6,7}}=>7
[6,7,4,2,5,1,3]=>{{1,6},{2,3,4,7},{5}}=>4
[6,7,4,2,5,3,1]=>{{1,2,3,4,6,7},{5}}=>6
[6,7,4,3,1,2,5]=>{{1,2,5,6,7},{3,4}}=>5
[6,7,4,3,1,5,2]=>{{1,5,6},{2,7},{3,4}}=>3
[6,7,4,3,2,1,5]=>{{1,6},{2,5,7},{3,4}}=>3
[6,7,4,3,2,5,1]=>{{1,2,5,6,7},{3,4}}=>5
[6,7,4,3,5,1,2]=>{{1,6},{2,7},{3,4},{5}}=>2
[6,7,4,3,5,2,1]=>{{1,2,6,7},{3,4},{5}}=>4
[6,7,4,5,1,2,3]=>{{1,2,3,4,5,6,7}}=>7
[6,7,4,5,1,3,2]=>{{1,3,4,5,6},{2,7}}=>5
[6,7,4,5,2,1,3]=>{{1,6},{2,3,4,5,7}}=>5
[6,7,4,5,2,3,1]=>{{1,2,3,4,5,6,7}}=>7
[6,7,4,5,3,1,2]=>{{1,6},{2,7},{3,4,5}}=>3
[6,7,4,5,3,2,1]=>{{1,2,6,7},{3,4,5}}=>4
[6,7,5,1,2,3,4]=>{{1,2,3,4,5,6,7}}=>7
[6,7,5,1,2,4,3]=>{{1,4,6},{2,3,5,7}}=>4
[6,7,5,1,3,2,4]=>{{1,2,4,6,7},{3,5}}=>5
[6,7,5,1,3,4,2]=>{{1,4,6},{2,7},{3,5}}=>3
[6,7,5,1,4,2,3]=>{{1,2,3,4,5,6,7}}=>7
[6,7,5,1,4,3,2]=>{{1,3,4,5,6},{2,7}}=>5
[6,7,5,2,1,3,4]=>{{1,3,5,6},{2,4,7}}=>4
[6,7,5,2,1,4,3]=>{{1,2,3,4,5,6,7}}=>7
[6,7,5,2,3,1,4]=>{{1,6},{2,4,7},{3,5}}=>3
[6,7,5,2,3,4,1]=>{{1,2,4,6,7},{3,5}}=>5
[6,7,5,2,4,1,3]=>{{1,6},{2,3,4,5,7}}=>5
[6,7,5,2,4,3,1]=>{{1,2,3,4,5,6,7}}=>7
[6,7,5,3,1,2,4]=>{{1,2,3,4,5,6,7}}=>7
[6,7,5,3,1,4,2]=>{{1,3,4,5,6},{2,7}}=>5
[6,7,5,3,2,1,4]=>{{1,6},{2,3,4,5,7}}=>5
[6,7,5,3,2,4,1]=>{{1,2,3,4,5,6,7}}=>7
[6,7,5,3,4,1,2]=>{{1,6},{2,7},{3,4,5}}=>3
[6,7,5,3,4,2,1]=>{{1,2,6,7},{3,4,5}}=>4
[6,7,5,4,1,2,3]=>{{1,2,3,5,6,7},{4}}=>6
[6,7,5,4,1,3,2]=>{{1,3,5,6},{2,7},{4}}=>4
[6,7,5,4,2,1,3]=>{{1,6},{2,3,5,7},{4}}=>4
[6,7,5,4,2,3,1]=>{{1,2,3,5,6,7},{4}}=>6
[6,7,5,4,3,1,2]=>{{1,6},{2,7},{3,5},{4}}=>2
[6,7,5,4,3,2,1]=>{{1,2,6,7},{3,5},{4}}=>4
[7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7}}=>7
[7,1,2,3,4,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[7,1,2,3,5,4,6]=>{{1,2,3,4,6,7},{5}}=>6
[7,1,2,3,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>5
[7,1,2,3,6,4,5]=>{{1,2,3,4,5,6,7}}=>7
[7,1,2,3,6,5,4]=>{{1,2,3,4,7},{5,6}}=>5
[7,1,2,4,3,5,6]=>{{1,2,3,5,6,7},{4}}=>6
[7,1,2,4,3,6,5]=>{{1,2,3,5,7},{4},{6}}=>5
[7,1,2,4,5,3,6]=>{{1,2,3,6,7},{4},{5}}=>5
[7,1,2,4,5,6,3]=>{{1,2,3,7},{4},{5},{6}}=>4
[7,1,2,4,6,3,5]=>{{1,2,3,5,6,7},{4}}=>6
[7,1,2,4,6,5,3]=>{{1,2,3,7},{4},{5,6}}=>4
[7,1,2,5,3,4,6]=>{{1,2,3,4,5,6,7}}=>7
[7,1,2,5,3,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[7,1,2,5,4,3,6]=>{{1,2,3,6,7},{4,5}}=>5
[7,1,2,5,4,6,3]=>{{1,2,3,7},{4,5},{6}}=>4
[7,1,2,5,6,3,4]=>{{1,2,3,4,5,6,7}}=>7
[7,1,2,5,6,4,3]=>{{1,2,3,7},{4,5,6}}=>4
[7,1,2,6,3,4,5]=>{{1,2,3,5,7},{4,6}}=>5
[7,1,2,6,3,5,4]=>{{1,2,3,4,5,6,7}}=>7
[7,1,2,6,4,3,5]=>{{1,2,3,4,5,6,7}}=>7
[7,1,2,6,4,5,3]=>{{1,2,3,7},{4,5,6}}=>4
[7,1,2,6,5,3,4]=>{{1,2,3,4,6,7},{5}}=>6
[7,1,2,6,5,4,3]=>{{1,2,3,7},{4,6},{5}}=>4
[7,1,3,2,4,5,6]=>{{1,2,4,5,6,7},{3}}=>6
[7,1,3,2,4,6,5]=>{{1,2,4,5,7},{3},{6}}=>5
[7,1,3,2,5,4,6]=>{{1,2,4,6,7},{3},{5}}=>5
[7,1,3,2,5,6,4]=>{{1,2,4,7},{3},{5},{6}}=>4
[7,1,3,2,6,4,5]=>{{1,2,4,5,6,7},{3}}=>6
[7,1,3,2,6,5,4]=>{{1,2,4,7},{3},{5,6}}=>4
[7,1,3,4,2,5,6]=>{{1,2,5,6,7},{3},{4}}=>5
[7,1,3,4,2,6,5]=>{{1,2,5,7},{3},{4},{6}}=>4
[7,1,3,4,5,2,6]=>{{1,2,6,7},{3},{4},{5}}=>4
[7,1,3,4,5,6,2]=>{{1,2,7},{3},{4},{5},{6}}=>3
[7,1,3,4,6,2,5]=>{{1,2,5,6,7},{3},{4}}=>5
[7,1,3,4,6,5,2]=>{{1,2,7},{3},{4},{5,6}}=>3
[7,1,3,5,2,4,6]=>{{1,2,4,5,6,7},{3}}=>6
[7,1,3,5,2,6,4]=>{{1,2,4,5,7},{3},{6}}=>5
[7,1,3,5,4,2,6]=>{{1,2,6,7},{3},{4,5}}=>4
[7,1,3,5,4,6,2]=>{{1,2,7},{3},{4,5},{6}}=>3
[7,1,3,5,6,2,4]=>{{1,2,4,5,6,7},{3}}=>6
[7,1,3,5,6,4,2]=>{{1,2,7},{3},{4,5,6}}=>3
[7,1,3,6,2,4,5]=>{{1,2,5,7},{3},{4,6}}=>4
[7,1,3,6,2,5,4]=>{{1,2,4,5,6,7},{3}}=>6
[7,1,3,6,4,2,5]=>{{1,2,4,5,6,7},{3}}=>6
[7,1,3,6,4,5,2]=>{{1,2,7},{3},{4,5,6}}=>3
[7,1,3,6,5,2,4]=>{{1,2,4,6,7},{3},{5}}=>5
[7,1,3,6,5,4,2]=>{{1,2,7},{3},{4,6},{5}}=>3
[7,1,4,2,3,5,6]=>{{1,2,3,4,5,6,7}}=>7
[7,1,4,2,3,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[7,1,4,2,5,3,6]=>{{1,2,3,4,6,7},{5}}=>6
[7,1,4,2,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>5
[7,1,4,2,6,3,5]=>{{1,2,3,4,5,6,7}}=>7
[7,1,4,2,6,5,3]=>{{1,2,3,4,7},{5,6}}=>5
[7,1,4,3,2,5,6]=>{{1,2,5,6,7},{3,4}}=>5
[7,1,4,3,2,6,5]=>{{1,2,5,7},{3,4},{6}}=>4
[7,1,4,3,5,2,6]=>{{1,2,6,7},{3,4},{5}}=>4
[7,1,4,3,5,6,2]=>{{1,2,7},{3,4},{5},{6}}=>3
[7,1,4,3,6,2,5]=>{{1,2,5,6,7},{3,4}}=>5
[7,1,4,3,6,5,2]=>{{1,2,7},{3,4},{5,6}}=>3
[7,1,4,5,2,3,6]=>{{1,2,3,4,5,6,7}}=>7
[7,1,4,5,2,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[7,1,4,5,3,2,6]=>{{1,2,6,7},{3,4,5}}=>4
[7,1,4,5,3,6,2]=>{{1,2,7},{3,4,5},{6}}=>3
[7,1,4,5,6,2,3]=>{{1,2,3,4,5,6,7}}=>7
[7,1,4,5,6,3,2]=>{{1,2,7},{3,4,5,6}}=>4
[7,1,4,6,2,3,5]=>{{1,2,5,7},{3,4,6}}=>4
[7,1,4,6,2,5,3]=>{{1,2,3,4,5,6,7}}=>7
[7,1,4,6,3,2,5]=>{{1,2,3,4,5,6,7}}=>7
[7,1,4,6,3,5,2]=>{{1,2,7},{3,4,5,6}}=>4
[7,1,4,6,5,2,3]=>{{1,2,3,4,6,7},{5}}=>6
[7,1,4,6,5,3,2]=>{{1,2,7},{3,4,6},{5}}=>3
[7,1,5,2,3,4,6]=>{{1,2,4,6,7},{3,5}}=>5
[7,1,5,2,3,6,4]=>{{1,2,4,7},{3,5},{6}}=>4
[7,1,5,2,4,3,6]=>{{1,2,3,4,5,6,7}}=>7
[7,1,5,2,4,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[7,1,5,2,6,3,4]=>{{1,2,4,7},{3,5,6}}=>4
[7,1,5,2,6,4,3]=>{{1,2,3,4,5,6,7}}=>7
[7,1,5,3,2,4,6]=>{{1,2,3,4,5,6,7}}=>7
[7,1,5,3,2,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[7,1,5,3,4,2,6]=>{{1,2,6,7},{3,4,5}}=>4
[7,1,5,3,4,6,2]=>{{1,2,7},{3,4,5},{6}}=>3
[7,1,5,3,6,2,4]=>{{1,2,3,4,5,6,7}}=>7
[7,1,5,3,6,4,2]=>{{1,2,7},{3,4,5,6}}=>4
[7,1,5,4,2,3,6]=>{{1,2,3,5,6,7},{4}}=>6
[7,1,5,4,2,6,3]=>{{1,2,3,5,7},{4},{6}}=>5
[7,1,5,4,3,2,6]=>{{1,2,6,7},{3,5},{4}}=>4
[7,1,5,4,3,6,2]=>{{1,2,7},{3,5},{4},{6}}=>3
[7,1,5,4,6,2,3]=>{{1,2,3,5,6,7},{4}}=>6
[7,1,5,4,6,3,2]=>{{1,2,7},{3,5,6},{4}}=>3
[7,1,5,6,2,3,4]=>{{1,2,3,4,5,6,7}}=>7
[7,1,5,6,2,4,3]=>{{1,2,3,5,7},{4,6}}=>5
[7,1,5,6,3,2,4]=>{{1,2,4,6,7},{3,5}}=>5
[7,1,5,6,3,4,2]=>{{1,2,7},{3,5},{4,6}}=>3
[7,1,5,6,4,2,3]=>{{1,2,3,4,5,6,7}}=>7
[7,1,5,6,4,3,2]=>{{1,2,7},{3,4,5,6}}=>4
[7,1,6,2,3,4,5]=>{{1,2,3,4,5,6,7}}=>7
[7,1,6,2,3,5,4]=>{{1,2,4,7},{3,5,6}}=>4
[7,1,6,2,4,3,5]=>{{1,2,4,5,7},{3,6}}=>5
[7,1,6,2,4,5,3]=>{{1,2,3,4,5,6,7}}=>7
[7,1,6,2,5,3,4]=>{{1,2,4,7},{3,6},{5}}=>4
[7,1,6,2,5,4,3]=>{{1,2,3,4,6,7},{5}}=>6
[7,1,6,3,2,4,5]=>{{1,2,5,7},{3,4,6}}=>4
[7,1,6,3,2,5,4]=>{{1,2,3,4,5,6,7}}=>7
[7,1,6,3,4,2,5]=>{{1,2,3,4,5,6,7}}=>7
[7,1,6,3,4,5,2]=>{{1,2,7},{3,4,5,6}}=>4
[7,1,6,3,5,2,4]=>{{1,2,3,4,6,7},{5}}=>6
[7,1,6,3,5,4,2]=>{{1,2,7},{3,4,6},{5}}=>3
[7,1,6,4,2,3,5]=>{{1,2,5,7},{3,6},{4}}=>4
[7,1,6,4,2,5,3]=>{{1,2,3,5,6,7},{4}}=>6
[7,1,6,4,3,2,5]=>{{1,2,3,5,6,7},{4}}=>6
[7,1,6,4,3,5,2]=>{{1,2,7},{3,5,6},{4}}=>3
[7,1,6,4,5,2,3]=>{{1,2,3,6,7},{4},{5}}=>5
[7,1,6,4,5,3,2]=>{{1,2,7},{3,6},{4},{5}}=>3
[7,1,6,5,2,3,4]=>{{1,2,4,5,7},{3,6}}=>5
[7,1,6,5,2,4,3]=>{{1,2,3,4,5,6,7}}=>7
[7,1,6,5,3,2,4]=>{{1,2,3,4,5,6,7}}=>7
[7,1,6,5,3,4,2]=>{{1,2,7},{3,4,5,6}}=>4
[7,1,6,5,4,2,3]=>{{1,2,3,6,7},{4,5}}=>5
[7,1,6,5,4,3,2]=>{{1,2,7},{3,6},{4,5}}=>3
[7,2,1,3,4,5,6]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,1,3,4,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[7,2,1,3,5,4,6]=>{{1,3,4,6,7},{2},{5}}=>5
[7,2,1,3,5,6,4]=>{{1,3,4,7},{2},{5},{6}}=>4
[7,2,1,3,6,4,5]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,1,3,6,5,4]=>{{1,3,4,7},{2},{5,6}}=>4
[7,2,1,4,3,5,6]=>{{1,3,5,6,7},{2},{4}}=>5
[7,2,1,4,3,6,5]=>{{1,3,5,7},{2},{4},{6}}=>4
[7,2,1,4,5,3,6]=>{{1,3,6,7},{2},{4},{5}}=>4
[7,2,1,4,5,6,3]=>{{1,3,7},{2},{4},{5},{6}}=>3
[7,2,1,4,6,3,5]=>{{1,3,5,6,7},{2},{4}}=>5
[7,2,1,4,6,5,3]=>{{1,3,7},{2},{4},{5,6}}=>3
[7,2,1,5,3,4,6]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,1,5,3,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[7,2,1,5,4,3,6]=>{{1,3,6,7},{2},{4,5}}=>4
[7,2,1,5,4,6,3]=>{{1,3,7},{2},{4,5},{6}}=>3
[7,2,1,5,6,3,4]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,1,5,6,4,3]=>{{1,3,7},{2},{4,5,6}}=>3
[7,2,1,6,3,4,5]=>{{1,3,5,7},{2},{4,6}}=>4
[7,2,1,6,3,5,4]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,1,6,4,3,5]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,1,6,4,5,3]=>{{1,3,7},{2},{4,5,6}}=>3
[7,2,1,6,5,3,4]=>{{1,3,4,6,7},{2},{5}}=>5
[7,2,1,6,5,4,3]=>{{1,3,7},{2},{4,6},{5}}=>3
[7,2,3,1,4,5,6]=>{{1,4,5,6,7},{2},{3}}=>5
[7,2,3,1,4,6,5]=>{{1,4,5,7},{2},{3},{6}}=>4
[7,2,3,1,5,4,6]=>{{1,4,6,7},{2},{3},{5}}=>4
[7,2,3,1,5,6,4]=>{{1,4,7},{2},{3},{5},{6}}=>3
[7,2,3,1,6,4,5]=>{{1,4,5,6,7},{2},{3}}=>5
[7,2,3,1,6,5,4]=>{{1,4,7},{2},{3},{5,6}}=>3
[7,2,3,4,1,5,6]=>{{1,5,6,7},{2},{3},{4}}=>4
[7,2,3,4,1,6,5]=>{{1,5,7},{2},{3},{4},{6}}=>3
[7,2,3,4,5,1,6]=>{{1,6,7},{2},{3},{4},{5}}=>3
[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>2
[7,2,3,4,6,1,5]=>{{1,5,6,7},{2},{3},{4}}=>4
[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>2
[7,2,3,5,1,4,6]=>{{1,4,5,6,7},{2},{3}}=>5
[7,2,3,5,1,6,4]=>{{1,4,5,7},{2},{3},{6}}=>4
[7,2,3,5,4,1,6]=>{{1,6,7},{2},{3},{4,5}}=>3
[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>2
[7,2,3,5,6,1,4]=>{{1,4,5,6,7},{2},{3}}=>5
[7,2,3,5,6,4,1]=>{{1,7},{2},{3},{4,5,6}}=>3
[7,2,3,6,1,4,5]=>{{1,5,7},{2},{3},{4,6}}=>3
[7,2,3,6,1,5,4]=>{{1,4,5,6,7},{2},{3}}=>5
[7,2,3,6,4,1,5]=>{{1,4,5,6,7},{2},{3}}=>5
[7,2,3,6,4,5,1]=>{{1,7},{2},{3},{4,5,6}}=>3
[7,2,3,6,5,1,4]=>{{1,4,6,7},{2},{3},{5}}=>4
[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>2
[7,2,4,1,3,5,6]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,4,1,3,6,5]=>{{1,3,4,5,7},{2},{6}}=>5
[7,2,4,1,5,3,6]=>{{1,3,4,6,7},{2},{5}}=>5
[7,2,4,1,5,6,3]=>{{1,3,4,7},{2},{5},{6}}=>4
[7,2,4,1,6,3,5]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,4,1,6,5,3]=>{{1,3,4,7},{2},{5,6}}=>4
[7,2,4,3,1,5,6]=>{{1,5,6,7},{2},{3,4}}=>4
[7,2,4,3,1,6,5]=>{{1,5,7},{2},{3,4},{6}}=>3
[7,2,4,3,5,1,6]=>{{1,6,7},{2},{3,4},{5}}=>3
[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>2
[7,2,4,3,6,1,5]=>{{1,5,6,7},{2},{3,4}}=>4
[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>2
[7,2,4,5,1,3,6]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,4,5,1,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[7,2,4,5,3,1,6]=>{{1,6,7},{2},{3,4,5}}=>3
[7,2,4,5,3,6,1]=>{{1,7},{2},{3,4,5},{6}}=>3
[7,2,4,5,6,1,3]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,4,5,6,3,1]=>{{1,7},{2},{3,4,5,6}}=>4
[7,2,4,6,1,3,5]=>{{1,5,7},{2},{3,4,6}}=>3
[7,2,4,6,1,5,3]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,4,6,3,1,5]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,4,6,3,5,1]=>{{1,7},{2},{3,4,5,6}}=>4
[7,2,4,6,5,1,3]=>{{1,3,4,6,7},{2},{5}}=>5
[7,2,4,6,5,3,1]=>{{1,7},{2},{3,4,6},{5}}=>3
[7,2,5,1,3,4,6]=>{{1,4,6,7},{2},{3,5}}=>4
[7,2,5,1,3,6,4]=>{{1,4,7},{2},{3,5},{6}}=>3
[7,2,5,1,4,3,6]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,5,1,4,6,3]=>{{1,3,4,5,7},{2},{6}}=>5
[7,2,5,1,6,3,4]=>{{1,4,7},{2},{3,5,6}}=>3
[7,2,5,1,6,4,3]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,5,3,1,4,6]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,5,3,1,6,4]=>{{1,3,4,5,7},{2},{6}}=>5
[7,2,5,3,4,1,6]=>{{1,6,7},{2},{3,4,5}}=>3
[7,2,5,3,4,6,1]=>{{1,7},{2},{3,4,5},{6}}=>3
[7,2,5,3,6,1,4]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,5,3,6,4,1]=>{{1,7},{2},{3,4,5,6}}=>4
[7,2,5,4,1,3,6]=>{{1,3,5,6,7},{2},{4}}=>5
[7,2,5,4,1,6,3]=>{{1,3,5,7},{2},{4},{6}}=>4
[7,2,5,4,3,1,6]=>{{1,6,7},{2},{3,5},{4}}=>3
[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>2
[7,2,5,4,6,1,3]=>{{1,3,5,6,7},{2},{4}}=>5
[7,2,5,4,6,3,1]=>{{1,7},{2},{3,5,6},{4}}=>3
[7,2,5,6,1,3,4]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,5,6,1,4,3]=>{{1,3,5,7},{2},{4,6}}=>4
[7,2,5,6,3,1,4]=>{{1,4,6,7},{2},{3,5}}=>4
[7,2,5,6,3,4,1]=>{{1,7},{2},{3,5},{4,6}}=>2
[7,2,5,6,4,1,3]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,5,6,4,3,1]=>{{1,7},{2},{3,4,5,6}}=>4
[7,2,6,1,3,4,5]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,6,1,3,5,4]=>{{1,4,7},{2},{3,5,6}}=>3
[7,2,6,1,4,3,5]=>{{1,4,5,7},{2},{3,6}}=>4
[7,2,6,1,4,5,3]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,6,1,5,3,4]=>{{1,4,7},{2},{3,6},{5}}=>3
[7,2,6,1,5,4,3]=>{{1,3,4,6,7},{2},{5}}=>5
[7,2,6,3,1,4,5]=>{{1,5,7},{2},{3,4,6}}=>3
[7,2,6,3,1,5,4]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,6,3,4,1,5]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,6,3,4,5,1]=>{{1,7},{2},{3,4,5,6}}=>4
[7,2,6,3,5,1,4]=>{{1,3,4,6,7},{2},{5}}=>5
[7,2,6,3,5,4,1]=>{{1,7},{2},{3,4,6},{5}}=>3
[7,2,6,4,1,3,5]=>{{1,5,7},{2},{3,6},{4}}=>3
[7,2,6,4,1,5,3]=>{{1,3,5,6,7},{2},{4}}=>5
[7,2,6,4,3,1,5]=>{{1,3,5,6,7},{2},{4}}=>5
[7,2,6,4,3,5,1]=>{{1,7},{2},{3,5,6},{4}}=>3
[7,2,6,4,5,1,3]=>{{1,3,6,7},{2},{4},{5}}=>4
[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>2
[7,2,6,5,1,3,4]=>{{1,4,5,7},{2},{3,6}}=>4
[7,2,6,5,1,4,3]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,6,5,3,1,4]=>{{1,3,4,5,6,7},{2}}=>6
[7,2,6,5,3,4,1]=>{{1,7},{2},{3,4,5,6}}=>4
[7,2,6,5,4,1,3]=>{{1,3,6,7},{2},{4,5}}=>4
[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>2
[7,3,1,2,4,5,6]=>{{1,2,3,4,5,6,7}}=>7
[7,3,1,2,4,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[7,3,1,2,5,4,6]=>{{1,2,3,4,6,7},{5}}=>6
[7,3,1,2,5,6,4]=>{{1,2,3,4,7},{5},{6}}=>5
[7,3,1,2,6,4,5]=>{{1,2,3,4,5,6,7}}=>7
[7,3,1,2,6,5,4]=>{{1,2,3,4,7},{5,6}}=>5
[7,3,1,4,2,5,6]=>{{1,2,3,5,6,7},{4}}=>6
[7,3,1,4,2,6,5]=>{{1,2,3,5,7},{4},{6}}=>5
[7,3,1,4,5,2,6]=>{{1,2,3,6,7},{4},{5}}=>5
[7,3,1,4,5,6,2]=>{{1,2,3,7},{4},{5},{6}}=>4
[7,3,1,4,6,2,5]=>{{1,2,3,5,6,7},{4}}=>6
[7,3,1,4,6,5,2]=>{{1,2,3,7},{4},{5,6}}=>4
[7,3,1,5,2,4,6]=>{{1,2,3,4,5,6,7}}=>7
[7,3,1,5,2,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[7,3,1,5,4,2,6]=>{{1,2,3,6,7},{4,5}}=>5
[7,3,1,5,4,6,2]=>{{1,2,3,7},{4,5},{6}}=>4
[7,3,1,5,6,2,4]=>{{1,2,3,4,5,6,7}}=>7
[7,3,1,5,6,4,2]=>{{1,2,3,7},{4,5,6}}=>4
[7,3,1,6,2,4,5]=>{{1,2,3,5,7},{4,6}}=>5
[7,3,1,6,2,5,4]=>{{1,2,3,4,5,6,7}}=>7
[7,3,1,6,4,2,5]=>{{1,2,3,4,5,6,7}}=>7
[7,3,1,6,4,5,2]=>{{1,2,3,7},{4,5,6}}=>4
[7,3,1,6,5,2,4]=>{{1,2,3,4,6,7},{5}}=>6
[7,3,1,6,5,4,2]=>{{1,2,3,7},{4,6},{5}}=>4
[7,3,2,1,4,5,6]=>{{1,4,5,6,7},{2,3}}=>5
[7,3,2,1,4,6,5]=>{{1,4,5,7},{2,3},{6}}=>4
[7,3,2,1,5,4,6]=>{{1,4,6,7},{2,3},{5}}=>4
[7,3,2,1,5,6,4]=>{{1,4,7},{2,3},{5},{6}}=>3
[7,3,2,1,6,4,5]=>{{1,4,5,6,7},{2,3}}=>5
[7,3,2,1,6,5,4]=>{{1,4,7},{2,3},{5,6}}=>3
[7,3,2,4,1,5,6]=>{{1,5,6,7},{2,3},{4}}=>4
[7,3,2,4,1,6,5]=>{{1,5,7},{2,3},{4},{6}}=>3
[7,3,2,4,5,1,6]=>{{1,6,7},{2,3},{4},{5}}=>3
[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>2
[7,3,2,4,6,1,5]=>{{1,5,6,7},{2,3},{4}}=>4
[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>2
[7,3,2,5,1,4,6]=>{{1,4,5,6,7},{2,3}}=>5
[7,3,2,5,1,6,4]=>{{1,4,5,7},{2,3},{6}}=>4
[7,3,2,5,4,1,6]=>{{1,6,7},{2,3},{4,5}}=>3
[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>2
[7,3,2,5,6,1,4]=>{{1,4,5,6,7},{2,3}}=>5
[7,3,2,5,6,4,1]=>{{1,7},{2,3},{4,5,6}}=>3
[7,3,2,6,1,4,5]=>{{1,5,7},{2,3},{4,6}}=>3
[7,3,2,6,1,5,4]=>{{1,4,5,6,7},{2,3}}=>5
[7,3,2,6,4,1,5]=>{{1,4,5,6,7},{2,3}}=>5
[7,3,2,6,4,5,1]=>{{1,7},{2,3},{4,5,6}}=>3
[7,3,2,6,5,1,4]=>{{1,4,6,7},{2,3},{5}}=>4
[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>2
[7,3,4,1,2,5,6]=>{{1,2,3,4,5,6,7}}=>7
[7,3,4,1,2,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[7,3,4,1,5,2,6]=>{{1,2,3,4,6,7},{5}}=>6
[7,3,4,1,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>5
[7,3,4,1,6,2,5]=>{{1,2,3,4,5,6,7}}=>7
[7,3,4,1,6,5,2]=>{{1,2,3,4,7},{5,6}}=>5
[7,3,4,2,1,5,6]=>{{1,5,6,7},{2,3,4}}=>4
[7,3,4,2,1,6,5]=>{{1,5,7},{2,3,4},{6}}=>3
[7,3,4,2,5,1,6]=>{{1,6,7},{2,3,4},{5}}=>3
[7,3,4,2,5,6,1]=>{{1,7},{2,3,4},{5},{6}}=>3
[7,3,4,2,6,1,5]=>{{1,5,6,7},{2,3,4}}=>4
[7,3,4,2,6,5,1]=>{{1,7},{2,3,4},{5,6}}=>3
[7,3,4,5,1,2,6]=>{{1,2,3,4,5,6,7}}=>7
[7,3,4,5,1,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[7,3,4,5,2,1,6]=>{{1,6,7},{2,3,4,5}}=>4
[7,3,4,5,2,6,1]=>{{1,7},{2,3,4,5},{6}}=>4
[7,3,4,5,6,1,2]=>{{1,2,3,4,5,6,7}}=>7
[7,3,4,5,6,2,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,3,4,6,1,2,5]=>{{1,5,7},{2,3,4,6}}=>4
[7,3,4,6,1,5,2]=>{{1,2,3,4,5,6,7}}=>7
[7,3,4,6,2,1,5]=>{{1,2,3,4,5,6,7}}=>7
[7,3,4,6,2,5,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,3,4,6,5,1,2]=>{{1,2,3,4,6,7},{5}}=>6
[7,3,4,6,5,2,1]=>{{1,7},{2,3,4,6},{5}}=>4
[7,3,5,1,2,4,6]=>{{1,4,6,7},{2,3,5}}=>4
[7,3,5,1,2,6,4]=>{{1,4,7},{2,3,5},{6}}=>3
[7,3,5,1,4,2,6]=>{{1,2,3,4,5,6,7}}=>7
[7,3,5,1,4,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[7,3,5,1,6,2,4]=>{{1,4,7},{2,3,5,6}}=>4
[7,3,5,1,6,4,2]=>{{1,2,3,4,5,6,7}}=>7
[7,3,5,2,1,4,6]=>{{1,2,3,4,5,6,7}}=>7
[7,3,5,2,1,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[7,3,5,2,4,1,6]=>{{1,6,7},{2,3,4,5}}=>4
[7,3,5,2,4,6,1]=>{{1,7},{2,3,4,5},{6}}=>4
[7,3,5,2,6,1,4]=>{{1,2,3,4,5,6,7}}=>7
[7,3,5,2,6,4,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,3,5,4,1,2,6]=>{{1,2,3,5,6,7},{4}}=>6
[7,3,5,4,1,6,2]=>{{1,2,3,5,7},{4},{6}}=>5
[7,3,5,4,2,1,6]=>{{1,6,7},{2,3,5},{4}}=>3
[7,3,5,4,2,6,1]=>{{1,7},{2,3,5},{4},{6}}=>3
[7,3,5,4,6,1,2]=>{{1,2,3,5,6,7},{4}}=>6
[7,3,5,4,6,2,1]=>{{1,7},{2,3,5,6},{4}}=>4
[7,3,5,6,1,2,4]=>{{1,2,3,4,5,6,7}}=>7
[7,3,5,6,1,4,2]=>{{1,2,3,5,7},{4,6}}=>5
[7,3,5,6,2,1,4]=>{{1,4,6,7},{2,3,5}}=>4
[7,3,5,6,2,4,1]=>{{1,7},{2,3,5},{4,6}}=>3
[7,3,5,6,4,1,2]=>{{1,2,3,4,5,6,7}}=>7
[7,3,5,6,4,2,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,3,6,1,2,4,5]=>{{1,2,3,4,5,6,7}}=>7
[7,3,6,1,2,5,4]=>{{1,4,7},{2,3,5,6}}=>4
[7,3,6,1,4,2,5]=>{{1,4,5,7},{2,3,6}}=>4
[7,3,6,1,4,5,2]=>{{1,2,3,4,5,6,7}}=>7
[7,3,6,1,5,2,4]=>{{1,4,7},{2,3,6},{5}}=>3
[7,3,6,1,5,4,2]=>{{1,2,3,4,6,7},{5}}=>6
[7,3,6,2,1,4,5]=>{{1,5,7},{2,3,4,6}}=>4
[7,3,6,2,1,5,4]=>{{1,2,3,4,5,6,7}}=>7
[7,3,6,2,4,1,5]=>{{1,2,3,4,5,6,7}}=>7
[7,3,6,2,4,5,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,3,6,2,5,1,4]=>{{1,2,3,4,6,7},{5}}=>6
[7,3,6,2,5,4,1]=>{{1,7},{2,3,4,6},{5}}=>4
[7,3,6,4,1,2,5]=>{{1,5,7},{2,3,6},{4}}=>3
[7,3,6,4,1,5,2]=>{{1,2,3,5,6,7},{4}}=>6
[7,3,6,4,2,1,5]=>{{1,2,3,5,6,7},{4}}=>6
[7,3,6,4,2,5,1]=>{{1,7},{2,3,5,6},{4}}=>4
[7,3,6,4,5,1,2]=>{{1,2,3,6,7},{4},{5}}=>5
[7,3,6,4,5,2,1]=>{{1,7},{2,3,6},{4},{5}}=>3
[7,3,6,5,1,2,4]=>{{1,4,5,7},{2,3,6}}=>4
[7,3,6,5,1,4,2]=>{{1,2,3,4,5,6,7}}=>7
[7,3,6,5,2,1,4]=>{{1,2,3,4,5,6,7}}=>7
[7,3,6,5,2,4,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,3,6,5,4,1,2]=>{{1,2,3,6,7},{4,5}}=>5
[7,3,6,5,4,2,1]=>{{1,7},{2,3,6},{4,5}}=>3
[7,4,1,2,3,5,6]=>{{1,3,5,6,7},{2,4}}=>5
[7,4,1,2,3,6,5]=>{{1,3,5,7},{2,4},{6}}=>4
[7,4,1,2,5,3,6]=>{{1,3,6,7},{2,4},{5}}=>4
[7,4,1,2,5,6,3]=>{{1,3,7},{2,4},{5},{6}}=>3
[7,4,1,2,6,3,5]=>{{1,3,5,6,7},{2,4}}=>5
[7,4,1,2,6,5,3]=>{{1,3,7},{2,4},{5,6}}=>3
[7,4,1,3,2,5,6]=>{{1,2,3,4,5,6,7}}=>7
[7,4,1,3,2,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[7,4,1,3,5,2,6]=>{{1,2,3,4,6,7},{5}}=>6
[7,4,1,3,5,6,2]=>{{1,2,3,4,7},{5},{6}}=>5
[7,4,1,3,6,2,5]=>{{1,2,3,4,5,6,7}}=>7
[7,4,1,3,6,5,2]=>{{1,2,3,4,7},{5,6}}=>5
[7,4,1,5,2,3,6]=>{{1,3,6,7},{2,4,5}}=>4
[7,4,1,5,2,6,3]=>{{1,3,7},{2,4,5},{6}}=>3
[7,4,1,5,3,2,6]=>{{1,2,3,4,5,6,7}}=>7
[7,4,1,5,3,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[7,4,1,5,6,2,3]=>{{1,3,7},{2,4,5,6}}=>4
[7,4,1,5,6,3,2]=>{{1,2,3,4,5,6,7}}=>7
[7,4,1,6,2,3,5]=>{{1,2,3,4,5,6,7}}=>7
[7,4,1,6,2,5,3]=>{{1,3,7},{2,4,5,6}}=>4
[7,4,1,6,3,2,5]=>{{1,3,5,7},{2,4,6}}=>4
[7,4,1,6,3,5,2]=>{{1,2,3,4,5,6,7}}=>7
[7,4,1,6,5,2,3]=>{{1,3,7},{2,4,6},{5}}=>3
[7,4,1,6,5,3,2]=>{{1,2,3,4,6,7},{5}}=>6
[7,4,2,1,3,5,6]=>{{1,2,3,4,5,6,7}}=>7
[7,4,2,1,3,6,5]=>{{1,2,3,4,5,7},{6}}=>6
[7,4,2,1,5,3,6]=>{{1,2,3,4,6,7},{5}}=>6
[7,4,2,1,5,6,3]=>{{1,2,3,4,7},{5},{6}}=>5
[7,4,2,1,6,3,5]=>{{1,2,3,4,5,6,7}}=>7
[7,4,2,1,6,5,3]=>{{1,2,3,4,7},{5,6}}=>5
[7,4,2,3,1,5,6]=>{{1,5,6,7},{2,3,4}}=>4
[7,4,2,3,1,6,5]=>{{1,5,7},{2,3,4},{6}}=>3
[7,4,2,3,5,1,6]=>{{1,6,7},{2,3,4},{5}}=>3
[7,4,2,3,5,6,1]=>{{1,7},{2,3,4},{5},{6}}=>3
[7,4,2,3,6,1,5]=>{{1,5,6,7},{2,3,4}}=>4
[7,4,2,3,6,5,1]=>{{1,7},{2,3,4},{5,6}}=>3
[7,4,2,5,1,3,6]=>{{1,2,3,4,5,6,7}}=>7
[7,4,2,5,1,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[7,4,2,5,3,1,6]=>{{1,6,7},{2,3,4,5}}=>4
[7,4,2,5,3,6,1]=>{{1,7},{2,3,4,5},{6}}=>4
[7,4,2,5,6,1,3]=>{{1,2,3,4,5,6,7}}=>7
[7,4,2,5,6,3,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,4,2,6,1,3,5]=>{{1,5,7},{2,3,4,6}}=>4
[7,4,2,6,1,5,3]=>{{1,2,3,4,5,6,7}}=>7
[7,4,2,6,3,1,5]=>{{1,2,3,4,5,6,7}}=>7
[7,4,2,6,3,5,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,4,2,6,5,1,3]=>{{1,2,3,4,6,7},{5}}=>6
[7,4,2,6,5,3,1]=>{{1,7},{2,3,4,6},{5}}=>4
[7,4,3,1,2,5,6]=>{{1,2,4,5,6,7},{3}}=>6
[7,4,3,1,2,6,5]=>{{1,2,4,5,7},{3},{6}}=>5
[7,4,3,1,5,2,6]=>{{1,2,4,6,7},{3},{5}}=>5
[7,4,3,1,5,6,2]=>{{1,2,4,7},{3},{5},{6}}=>4
[7,4,3,1,6,2,5]=>{{1,2,4,5,6,7},{3}}=>6
[7,4,3,1,6,5,2]=>{{1,2,4,7},{3},{5,6}}=>4
[7,4,3,2,1,5,6]=>{{1,5,6,7},{2,4},{3}}=>4
[7,4,3,2,1,6,5]=>{{1,5,7},{2,4},{3},{6}}=>3
[7,4,3,2,5,1,6]=>{{1,6,7},{2,4},{3},{5}}=>3
[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>2
[7,4,3,2,6,1,5]=>{{1,5,6,7},{2,4},{3}}=>4
[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>2
[7,4,3,5,1,2,6]=>{{1,2,4,5,6,7},{3}}=>6
[7,4,3,5,1,6,2]=>{{1,2,4,5,7},{3},{6}}=>5
[7,4,3,5,2,1,6]=>{{1,6,7},{2,4,5},{3}}=>3
[7,4,3,5,2,6,1]=>{{1,7},{2,4,5},{3},{6}}=>3
[7,4,3,5,6,1,2]=>{{1,2,4,5,6,7},{3}}=>6
[7,4,3,5,6,2,1]=>{{1,7},{2,4,5,6},{3}}=>4
[7,4,3,6,1,2,5]=>{{1,5,7},{2,4,6},{3}}=>3
[7,4,3,6,1,5,2]=>{{1,2,4,5,6,7},{3}}=>6
[7,4,3,6,2,1,5]=>{{1,2,4,5,6,7},{3}}=>6
[7,4,3,6,2,5,1]=>{{1,7},{2,4,5,6},{3}}=>4
[7,4,3,6,5,1,2]=>{{1,2,4,6,7},{3},{5}}=>5
[7,4,3,6,5,2,1]=>{{1,7},{2,4,6},{3},{5}}=>3
[7,4,5,1,2,3,6]=>{{1,2,3,4,5,6,7}}=>7
[7,4,5,1,2,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[7,4,5,1,3,2,6]=>{{1,2,4,6,7},{3,5}}=>5
[7,4,5,1,3,6,2]=>{{1,2,4,7},{3,5},{6}}=>4
[7,4,5,1,6,2,3]=>{{1,2,3,4,5,6,7}}=>7
[7,4,5,1,6,3,2]=>{{1,2,4,7},{3,5,6}}=>4
[7,4,5,2,1,3,6]=>{{1,3,5,6,7},{2,4}}=>5
[7,4,5,2,1,6,3]=>{{1,3,5,7},{2,4},{6}}=>4
[7,4,5,2,3,1,6]=>{{1,6,7},{2,4},{3,5}}=>3
[7,4,5,2,3,6,1]=>{{1,7},{2,4},{3,5},{6}}=>2
[7,4,5,2,6,1,3]=>{{1,3,5,6,7},{2,4}}=>5
[7,4,5,2,6,3,1]=>{{1,7},{2,4},{3,5,6}}=>3
[7,4,5,3,1,2,6]=>{{1,2,3,4,5,6,7}}=>7
[7,4,5,3,1,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[7,4,5,3,2,1,6]=>{{1,6,7},{2,3,4,5}}=>4
[7,4,5,3,2,6,1]=>{{1,7},{2,3,4,5},{6}}=>4
[7,4,5,3,6,1,2]=>{{1,2,3,4,5,6,7}}=>7
[7,4,5,3,6,2,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,4,5,6,1,2,3]=>{{1,3,5,7},{2,4,6}}=>4
[7,4,5,6,1,3,2]=>{{1,2,3,4,5,6,7}}=>7
[7,4,5,6,2,1,3]=>{{1,2,3,4,5,6,7}}=>7
[7,4,5,6,2,3,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,4,5,6,3,1,2]=>{{1,2,4,6,7},{3,5}}=>5
[7,4,5,6,3,2,1]=>{{1,7},{2,4,6},{3,5}}=>3
[7,4,6,1,2,3,5]=>{{1,2,4,5,7},{3,6}}=>5
[7,4,6,1,2,5,3]=>{{1,2,3,4,5,6,7}}=>7
[7,4,6,1,3,2,5]=>{{1,2,3,4,5,6,7}}=>7
[7,4,6,1,3,5,2]=>{{1,2,4,7},{3,5,6}}=>4
[7,4,6,1,5,2,3]=>{{1,2,3,4,6,7},{5}}=>6
[7,4,6,1,5,3,2]=>{{1,2,4,7},{3,6},{5}}=>4
[7,4,6,2,1,3,5]=>{{1,5,7},{2,4},{3,6}}=>3
[7,4,6,2,1,5,3]=>{{1,3,5,6,7},{2,4}}=>5
[7,4,6,2,3,1,5]=>{{1,3,5,6,7},{2,4}}=>5
[7,4,6,2,3,5,1]=>{{1,7},{2,4},{3,5,6}}=>3
[7,4,6,2,5,1,3]=>{{1,3,6,7},{2,4},{5}}=>4
[7,4,6,2,5,3,1]=>{{1,7},{2,4},{3,6},{5}}=>2
[7,4,6,3,1,2,5]=>{{1,5,7},{2,3,4,6}}=>4
[7,4,6,3,1,5,2]=>{{1,2,3,4,5,6,7}}=>7
[7,4,6,3,2,1,5]=>{{1,2,3,4,5,6,7}}=>7
[7,4,6,3,2,5,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,4,6,3,5,1,2]=>{{1,2,3,4,6,7},{5}}=>6
[7,4,6,3,5,2,1]=>{{1,7},{2,3,4,6},{5}}=>4
[7,4,6,5,1,2,3]=>{{1,2,3,4,5,6,7}}=>7
[7,4,6,5,1,3,2]=>{{1,2,4,5,7},{3,6}}=>5
[7,4,6,5,2,1,3]=>{{1,3,6,7},{2,4,5}}=>4
[7,4,6,5,2,3,1]=>{{1,7},{2,4,5},{3,6}}=>3
[7,4,6,5,3,1,2]=>{{1,2,3,4,5,6,7}}=>7
[7,4,6,5,3,2,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,5,1,2,3,4,6]=>{{1,2,3,4,5,6,7}}=>7
[7,5,1,2,3,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[7,5,1,2,4,3,6]=>{{1,3,6,7},{2,4,5}}=>4
[7,5,1,2,4,6,3]=>{{1,3,7},{2,4,5},{6}}=>3
[7,5,1,2,6,3,4]=>{{1,2,3,4,5,6,7}}=>7
[7,5,1,2,6,4,3]=>{{1,3,7},{2,4,5,6}}=>4
[7,5,1,3,2,4,6]=>{{1,3,4,6,7},{2,5}}=>5
[7,5,1,3,2,6,4]=>{{1,3,4,7},{2,5},{6}}=>4
[7,5,1,3,4,2,6]=>{{1,2,3,4,5,6,7}}=>7
[7,5,1,3,4,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[7,5,1,3,6,2,4]=>{{1,3,4,7},{2,5,6}}=>4
[7,5,1,3,6,4,2]=>{{1,2,3,4,5,6,7}}=>7
[7,5,1,4,2,3,6]=>{{1,3,6,7},{2,5},{4}}=>4
[7,5,1,4,2,6,3]=>{{1,3,7},{2,5},{4},{6}}=>3
[7,5,1,4,3,2,6]=>{{1,2,3,5,6,7},{4}}=>6
[7,5,1,4,3,6,2]=>{{1,2,3,5,7},{4},{6}}=>5
[7,5,1,4,6,2,3]=>{{1,3,7},{2,5,6},{4}}=>3
[7,5,1,4,6,3,2]=>{{1,2,3,5,6,7},{4}}=>6
[7,5,1,6,2,3,4]=>{{1,3,4,6,7},{2,5}}=>5
[7,5,1,6,2,4,3]=>{{1,3,7},{2,5},{4,6}}=>3
[7,5,1,6,3,2,4]=>{{1,2,3,4,5,6,7}}=>7
[7,5,1,6,3,4,2]=>{{1,2,3,5,7},{4,6}}=>5
[7,5,1,6,4,2,3]=>{{1,3,7},{2,4,5,6}}=>4
[7,5,1,6,4,3,2]=>{{1,2,3,4,5,6,7}}=>7
[7,5,2,1,3,4,6]=>{{1,4,6,7},{2,3,5}}=>4
[7,5,2,1,3,6,4]=>{{1,4,7},{2,3,5},{6}}=>3
[7,5,2,1,4,3,6]=>{{1,2,3,4,5,6,7}}=>7
[7,5,2,1,4,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[7,5,2,1,6,3,4]=>{{1,4,7},{2,3,5,6}}=>4
[7,5,2,1,6,4,3]=>{{1,2,3,4,5,6,7}}=>7
[7,5,2,3,1,4,6]=>{{1,2,3,4,5,6,7}}=>7
[7,5,2,3,1,6,4]=>{{1,2,3,4,5,7},{6}}=>6
[7,5,2,3,4,1,6]=>{{1,6,7},{2,3,4,5}}=>4
[7,5,2,3,4,6,1]=>{{1,7},{2,3,4,5},{6}}=>4
[7,5,2,3,6,1,4]=>{{1,2,3,4,5,6,7}}=>7
[7,5,2,3,6,4,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,5,2,4,1,3,6]=>{{1,2,3,5,6,7},{4}}=>6
[7,5,2,4,1,6,3]=>{{1,2,3,5,7},{4},{6}}=>5
[7,5,2,4,3,1,6]=>{{1,6,7},{2,3,5},{4}}=>3
[7,5,2,4,3,6,1]=>{{1,7},{2,3,5},{4},{6}}=>3
[7,5,2,4,6,1,3]=>{{1,2,3,5,6,7},{4}}=>6
[7,5,2,4,6,3,1]=>{{1,7},{2,3,5,6},{4}}=>4
[7,5,2,6,1,3,4]=>{{1,2,3,4,5,6,7}}=>7
[7,5,2,6,1,4,3]=>{{1,2,3,5,7},{4,6}}=>5
[7,5,2,6,3,1,4]=>{{1,4,6,7},{2,3,5}}=>4
[7,5,2,6,3,4,1]=>{{1,7},{2,3,5},{4,6}}=>3
[7,5,2,6,4,1,3]=>{{1,2,3,4,5,6,7}}=>7
[7,5,2,6,4,3,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,5,3,1,2,4,6]=>{{1,4,6,7},{2,5},{3}}=>4
[7,5,3,1,2,6,4]=>{{1,4,7},{2,5},{3},{6}}=>3
[7,5,3,1,4,2,6]=>{{1,2,4,5,6,7},{3}}=>6
[7,5,3,1,4,6,2]=>{{1,2,4,5,7},{3},{6}}=>5
[7,5,3,1,6,2,4]=>{{1,4,7},{2,5,6},{3}}=>3
[7,5,3,1,6,4,2]=>{{1,2,4,5,6,7},{3}}=>6
[7,5,3,2,1,4,6]=>{{1,2,4,5,6,7},{3}}=>6
[7,5,3,2,1,6,4]=>{{1,2,4,5,7},{3},{6}}=>5
[7,5,3,2,4,1,6]=>{{1,6,7},{2,4,5},{3}}=>3
[7,5,3,2,4,6,1]=>{{1,7},{2,4,5},{3},{6}}=>3
[7,5,3,2,6,1,4]=>{{1,2,4,5,6,7},{3}}=>6
[7,5,3,2,6,4,1]=>{{1,7},{2,4,5,6},{3}}=>4
[7,5,3,4,1,2,6]=>{{1,2,5,6,7},{3},{4}}=>5
[7,5,3,4,1,6,2]=>{{1,2,5,7},{3},{4},{6}}=>4
[7,5,3,4,2,1,6]=>{{1,6,7},{2,5},{3},{4}}=>3
[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>2
[7,5,3,4,6,1,2]=>{{1,2,5,6,7},{3},{4}}=>5
[7,5,3,4,6,2,1]=>{{1,7},{2,5,6},{3},{4}}=>3
[7,5,3,6,1,2,4]=>{{1,2,4,5,6,7},{3}}=>6
[7,5,3,6,1,4,2]=>{{1,2,5,7},{3},{4,6}}=>4
[7,5,3,6,2,1,4]=>{{1,4,6,7},{2,5},{3}}=>4
[7,5,3,6,2,4,1]=>{{1,7},{2,5},{3},{4,6}}=>2
[7,5,3,6,4,1,2]=>{{1,2,4,5,6,7},{3}}=>6
[7,5,3,6,4,2,1]=>{{1,7},{2,4,5,6},{3}}=>4
[7,5,4,1,2,3,6]=>{{1,3,4,6,7},{2,5}}=>5
[7,5,4,1,2,6,3]=>{{1,3,4,7},{2,5},{6}}=>4
[7,5,4,1,3,2,6]=>{{1,2,3,4,5,6,7}}=>7
[7,5,4,1,3,6,2]=>{{1,2,3,4,5,7},{6}}=>6
[7,5,4,1,6,2,3]=>{{1,3,4,7},{2,5,6}}=>4
[7,5,4,1,6,3,2]=>{{1,2,3,4,5,6,7}}=>7
[7,5,4,2,1,3,6]=>{{1,2,3,4,5,6,7}}=>7
[7,5,4,2,1,6,3]=>{{1,2,3,4,5,7},{6}}=>6
[7,5,4,2,3,1,6]=>{{1,6,7},{2,3,4,5}}=>4
[7,5,4,2,3,6,1]=>{{1,7},{2,3,4,5},{6}}=>4
[7,5,4,2,6,1,3]=>{{1,2,3,4,5,6,7}}=>7
[7,5,4,2,6,3,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,5,4,3,1,2,6]=>{{1,2,5,6,7},{3,4}}=>5
[7,5,4,3,1,6,2]=>{{1,2,5,7},{3,4},{6}}=>4
[7,5,4,3,2,1,6]=>{{1,6,7},{2,5},{3,4}}=>3
[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>2
[7,5,4,3,6,1,2]=>{{1,2,5,6,7},{3,4}}=>5
[7,5,4,3,6,2,1]=>{{1,7},{2,5,6},{3,4}}=>3
[7,5,4,6,1,2,3]=>{{1,2,3,4,5,6,7}}=>7
[7,5,4,6,1,3,2]=>{{1,2,5,7},{3,4,6}}=>4
[7,5,4,6,2,1,3]=>{{1,3,4,6,7},{2,5}}=>5
[7,5,4,6,2,3,1]=>{{1,7},{2,5},{3,4,6}}=>3
[7,5,4,6,3,1,2]=>{{1,2,3,4,5,6,7}}=>7
[7,5,4,6,3,2,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,5,6,1,2,3,4]=>{{1,4,7},{2,5},{3,6}}=>3
[7,5,6,1,2,4,3]=>{{1,3,4,6,7},{2,5}}=>5
[7,5,6,1,3,2,4]=>{{1,4,7},{2,3,5,6}}=>4
[7,5,6,1,3,4,2]=>{{1,2,3,4,5,6,7}}=>7
[7,5,6,1,4,2,3]=>{{1,2,3,4,5,6,7}}=>7
[7,5,6,1,4,3,2]=>{{1,2,4,5,7},{3,6}}=>5
[7,5,6,2,1,3,4]=>{{1,2,4,5,7},{3,6}}=>5
[7,5,6,2,1,4,3]=>{{1,2,3,4,5,6,7}}=>7
[7,5,6,2,3,1,4]=>{{1,2,3,4,5,6,7}}=>7
[7,5,6,2,3,4,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,5,6,2,4,1,3]=>{{1,3,6,7},{2,4,5}}=>4
[7,5,6,2,4,3,1]=>{{1,7},{2,4,5},{3,6}}=>3
[7,5,6,3,1,2,4]=>{{1,2,3,4,5,6,7}}=>7
[7,5,6,3,1,4,2]=>{{1,2,5,7},{3,4,6}}=>4
[7,5,6,3,2,1,4]=>{{1,3,4,6,7},{2,5}}=>5
[7,5,6,3,2,4,1]=>{{1,7},{2,5},{3,4,6}}=>3
[7,5,6,3,4,1,2]=>{{1,2,3,4,5,6,7}}=>7
[7,5,6,3,4,2,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,5,6,4,1,2,3]=>{{1,2,3,5,6,7},{4}}=>6
[7,5,6,4,1,3,2]=>{{1,2,5,7},{3,6},{4}}=>4
[7,5,6,4,2,1,3]=>{{1,3,6,7},{2,5},{4}}=>4
[7,5,6,4,2,3,1]=>{{1,7},{2,5},{3,6},{4}}=>2
[7,5,6,4,3,1,2]=>{{1,2,3,5,6,7},{4}}=>6
[7,5,6,4,3,2,1]=>{{1,7},{2,3,5,6},{4}}=>4
[7,6,1,2,3,4,5]=>{{1,3,5,7},{2,4,6}}=>4
[7,6,1,2,3,5,4]=>{{1,2,3,4,5,6,7}}=>7
[7,6,1,2,4,3,5]=>{{1,2,3,4,5,6,7}}=>7
[7,6,1,2,4,5,3]=>{{1,3,7},{2,4,5,6}}=>4
[7,6,1,2,5,3,4]=>{{1,2,3,4,6,7},{5}}=>6
[7,6,1,2,5,4,3]=>{{1,3,7},{2,4,6},{5}}=>3
[7,6,1,3,2,4,5]=>{{1,2,3,4,5,6,7}}=>7
[7,6,1,3,2,5,4]=>{{1,3,4,7},{2,5,6}}=>4
[7,6,1,3,4,2,5]=>{{1,3,4,5,7},{2,6}}=>5
[7,6,1,3,4,5,2]=>{{1,2,3,4,5,6,7}}=>7
[7,6,1,3,5,2,4]=>{{1,3,4,7},{2,6},{5}}=>4
[7,6,1,3,5,4,2]=>{{1,2,3,4,6,7},{5}}=>6
[7,6,1,4,2,3,5]=>{{1,2,3,5,6,7},{4}}=>6
[7,6,1,4,2,5,3]=>{{1,3,7},{2,5,6},{4}}=>3
[7,6,1,4,3,2,5]=>{{1,3,5,7},{2,6},{4}}=>4
[7,6,1,4,3,5,2]=>{{1,2,3,5,6,7},{4}}=>6
[7,6,1,4,5,2,3]=>{{1,3,7},{2,6},{4},{5}}=>3
[7,6,1,4,5,3,2]=>{{1,2,3,6,7},{4},{5}}=>5
[7,6,1,5,2,3,4]=>{{1,2,3,4,5,6,7}}=>7
[7,6,1,5,2,4,3]=>{{1,3,7},{2,4,5,6}}=>4
[7,6,1,5,3,2,4]=>{{1,3,4,5,7},{2,6}}=>5
[7,6,1,5,3,4,2]=>{{1,2,3,4,5,6,7}}=>7
[7,6,1,5,4,2,3]=>{{1,3,7},{2,6},{4,5}}=>3
[7,6,1,5,4,3,2]=>{{1,2,3,6,7},{4,5}}=>5
[7,6,2,1,3,4,5]=>{{1,2,3,4,5,6,7}}=>7
[7,6,2,1,3,5,4]=>{{1,4,7},{2,3,5,6}}=>4
[7,6,2,1,4,3,5]=>{{1,4,5,7},{2,3,6}}=>4
[7,6,2,1,4,5,3]=>{{1,2,3,4,5,6,7}}=>7
[7,6,2,1,5,3,4]=>{{1,4,7},{2,3,6},{5}}=>3
[7,6,2,1,5,4,3]=>{{1,2,3,4,6,7},{5}}=>6
[7,6,2,3,1,4,5]=>{{1,5,7},{2,3,4,6}}=>4
[7,6,2,3,1,5,4]=>{{1,2,3,4,5,6,7}}=>7
[7,6,2,3,4,1,5]=>{{1,2,3,4,5,6,7}}=>7
[7,6,2,3,4,5,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,6,2,3,5,1,4]=>{{1,2,3,4,6,7},{5}}=>6
[7,6,2,3,5,4,1]=>{{1,7},{2,3,4,6},{5}}=>4
[7,6,2,4,1,3,5]=>{{1,5,7},{2,3,6},{4}}=>3
[7,6,2,4,1,5,3]=>{{1,2,3,5,6,7},{4}}=>6
[7,6,2,4,3,1,5]=>{{1,2,3,5,6,7},{4}}=>6
[7,6,2,4,3,5,1]=>{{1,7},{2,3,5,6},{4}}=>4
[7,6,2,4,5,1,3]=>{{1,2,3,6,7},{4},{5}}=>5
[7,6,2,4,5,3,1]=>{{1,7},{2,3,6},{4},{5}}=>3
[7,6,2,5,1,3,4]=>{{1,4,5,7},{2,3,6}}=>4
[7,6,2,5,1,4,3]=>{{1,2,3,4,5,6,7}}=>7
[7,6,2,5,3,1,4]=>{{1,2,3,4,5,6,7}}=>7
[7,6,2,5,3,4,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,6,2,5,4,1,3]=>{{1,2,3,6,7},{4,5}}=>5
[7,6,2,5,4,3,1]=>{{1,7},{2,3,6},{4,5}}=>3
[7,6,3,1,2,4,5]=>{{1,2,4,5,6,7},{3}}=>6
[7,6,3,1,2,5,4]=>{{1,4,7},{2,5,6},{3}}=>3
[7,6,3,1,4,2,5]=>{{1,4,5,7},{2,6},{3}}=>4
[7,6,3,1,4,5,2]=>{{1,2,4,5,6,7},{3}}=>6
[7,6,3,1,5,2,4]=>{{1,4,7},{2,6},{3},{5}}=>3
[7,6,3,1,5,4,2]=>{{1,2,4,6,7},{3},{5}}=>5
[7,6,3,2,1,4,5]=>{{1,5,7},{2,4,6},{3}}=>3
[7,6,3,2,1,5,4]=>{{1,2,4,5,6,7},{3}}=>6
[7,6,3,2,4,1,5]=>{{1,2,4,5,6,7},{3}}=>6
[7,6,3,2,4,5,1]=>{{1,7},{2,4,5,6},{3}}=>4
[7,6,3,2,5,1,4]=>{{1,2,4,6,7},{3},{5}}=>5
[7,6,3,2,5,4,1]=>{{1,7},{2,4,6},{3},{5}}=>3
[7,6,3,4,1,2,5]=>{{1,5,7},{2,6},{3},{4}}=>3
[7,6,3,4,1,5,2]=>{{1,2,5,6,7},{3},{4}}=>5
[7,6,3,4,2,1,5]=>{{1,2,5,6,7},{3},{4}}=>5
[7,6,3,4,2,5,1]=>{{1,7},{2,5,6},{3},{4}}=>3
[7,6,3,4,5,1,2]=>{{1,2,6,7},{3},{4},{5}}=>4
[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>2
[7,6,3,5,1,2,4]=>{{1,4,5,7},{2,6},{3}}=>4
[7,6,3,5,1,4,2]=>{{1,2,4,5,6,7},{3}}=>6
[7,6,3,5,2,1,4]=>{{1,2,4,5,6,7},{3}}=>6
[7,6,3,5,2,4,1]=>{{1,7},{2,4,5,6},{3}}=>4
[7,6,3,5,4,1,2]=>{{1,2,6,7},{3},{4,5}}=>4
[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>2
[7,6,4,1,2,3,5]=>{{1,2,3,4,5,6,7}}=>7
[7,6,4,1,2,5,3]=>{{1,3,4,7},{2,5,6}}=>4
[7,6,4,1,3,2,5]=>{{1,3,4,5,7},{2,6}}=>5
[7,6,4,1,3,5,2]=>{{1,2,3,4,5,6,7}}=>7
[7,6,4,1,5,2,3]=>{{1,3,4,7},{2,6},{5}}=>4
[7,6,4,1,5,3,2]=>{{1,2,3,4,6,7},{5}}=>6
[7,6,4,2,1,3,5]=>{{1,5,7},{2,3,4,6}}=>4
[7,6,4,2,1,5,3]=>{{1,2,3,4,5,6,7}}=>7
[7,6,4,2,3,1,5]=>{{1,2,3,4,5,6,7}}=>7
[7,6,4,2,3,5,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,6,4,2,5,1,3]=>{{1,2,3,4,6,7},{5}}=>6
[7,6,4,2,5,3,1]=>{{1,7},{2,3,4,6},{5}}=>4
[7,6,4,3,1,2,5]=>{{1,5,7},{2,6},{3,4}}=>3
[7,6,4,3,1,5,2]=>{{1,2,5,6,7},{3,4}}=>5
[7,6,4,3,2,1,5]=>{{1,2,5,6,7},{3,4}}=>5
[7,6,4,3,2,5,1]=>{{1,7},{2,5,6},{3,4}}=>3
[7,6,4,3,5,1,2]=>{{1,2,6,7},{3,4},{5}}=>4
[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>2
[7,6,4,5,1,2,3]=>{{1,3,4,5,7},{2,6}}=>5
[7,6,4,5,1,3,2]=>{{1,2,3,4,5,6,7}}=>7
[7,6,4,5,2,1,3]=>{{1,2,3,4,5,6,7}}=>7
[7,6,4,5,2,3,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,6,4,5,3,1,2]=>{{1,2,6,7},{3,4,5}}=>4
[7,6,4,5,3,2,1]=>{{1,7},{2,6},{3,4,5}}=>3
[7,6,5,1,2,3,4]=>{{1,4,7},{2,3,5,6}}=>4
[7,6,5,1,2,4,3]=>{{1,2,3,4,5,6,7}}=>7
[7,6,5,1,3,2,4]=>{{1,4,7},{2,6},{3,5}}=>3
[7,6,5,1,3,4,2]=>{{1,2,4,6,7},{3,5}}=>5
[7,6,5,1,4,2,3]=>{{1,3,4,5,7},{2,6}}=>5
[7,6,5,1,4,3,2]=>{{1,2,3,4,5,6,7}}=>7
[7,6,5,2,1,3,4]=>{{1,2,3,4,5,6,7}}=>7
[7,6,5,2,1,4,3]=>{{1,3,5,7},{2,4,6}}=>4
[7,6,5,2,3,1,4]=>{{1,2,4,6,7},{3,5}}=>5
[7,6,5,2,3,4,1]=>{{1,7},{2,4,6},{3,5}}=>3
[7,6,5,2,4,1,3]=>{{1,2,3,4,5,6,7}}=>7
[7,6,5,2,4,3,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,6,5,3,1,2,4]=>{{1,3,4,5,7},{2,6}}=>5
[7,6,5,3,1,4,2]=>{{1,2,3,4,5,6,7}}=>7
[7,6,5,3,2,1,4]=>{{1,2,3,4,5,6,7}}=>7
[7,6,5,3,2,4,1]=>{{1,7},{2,3,4,5,6}}=>5
[7,6,5,3,4,1,2]=>{{1,2,6,7},{3,4,5}}=>4
[7,6,5,3,4,2,1]=>{{1,7},{2,6},{3,4,5}}=>3
[7,6,5,4,1,2,3]=>{{1,3,5,7},{2,6},{4}}=>4
[7,6,5,4,1,3,2]=>{{1,2,3,5,6,7},{4}}=>6
[7,6,5,4,2,1,3]=>{{1,2,3,5,6,7},{4}}=>6
[7,6,5,4,2,3,1]=>{{1,7},{2,3,5,6},{4}}=>4
[7,6,5,4,3,1,2]=>{{1,2,6,7},{3,5},{4}}=>4
[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>2
[7,6,8,5,4,3,2,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,6,5,7,4,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,6,5,8,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,8,4,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,5,6,8,4,3,2,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,5,7,8,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,4,5,7,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,4,5,6,7,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,6,5,4,8,3,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,7,4,8,3,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,4,5,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,5,8,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,4,5,6,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,7,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,7,8,3,2,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,6,7,5,3,4,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,6,8,5,3,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,7,3,4,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,6,5,8,3,4,2,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[5,6,7,8,3,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,4,3,5,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,7,3,4,5,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,6,8,3,4,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,3,4,5,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,3,4,5,6,7,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,5,6,4,3,8,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,6,7,4,3,8,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,5,4,6,3,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,6,3,8,2,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,5,6,7,3,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,4,3,6,8,2,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,3,4,5,6,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,3,6,7,8,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,4,6,7,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,5,6,7,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,5,4,2,3,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,7,5,6,4,2,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,6,5,8,4,2,3,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,7,5,8,4,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,6,8,4,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,5,6,2,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,8,4,5,6,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,6,4,8,2,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,4,5,8,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,7,8,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,5,3,2,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,8,6,5,3,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,5,3,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,7,8,5,3,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,8,3,2,4,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[5,6,7,8,3,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,6,7,5,2,3,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,6,8,5,2,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,6,2,3,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,8,5,6,2,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,8,2,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,8,2,3,4,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[5,6,7,8,2,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,4,3,2,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,8,4,3,2,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,6,3,4,2,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,8,6,3,4,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,3,4,2,5,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,7,8,3,4,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,4,2,3,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,7,3,2,4,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,7,6,2,3,4,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,8,6,2,3,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,2,3,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,3,2,4,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,8,4,3,2,5,6,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,8,4,2,3,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,3,2,4,5,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,2,3,4,5,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,8,2,3,4,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,4,3,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,4,7,3,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,5,7,3,2,8,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[6,5,7,3,4,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,3,7,2,8,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,4,5,3,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,3,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,3,5,7,2,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,4,5,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,3,6,7,2,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,5,6,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,4,2,3,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,6,7,4,2,3,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,4,5,2,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,7,2,3,8,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[5,6,4,7,2,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,6,7,2,3,8,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,7,5,3,2,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,3,2,4,8,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[6,7,4,3,2,5,8,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,7,3,2,4,5,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,2,3,4,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,6,3,2,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,3,2,7,8,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[5,4,3,6,2,7,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,4,5,6,2,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,2,3,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,6,2,3,7,8,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[4,5,6,2,3,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,3,2,6,7,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,5,2,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,5,2,6,7,8,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[4,5,2,3,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,2,5,6,7,8,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[3,4,2,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,3,5,6,7,8,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,2,4,5,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,3,4,5,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,7,5,4,3,1,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[6,7,8,5,4,3,1,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,6,5,7,4,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,8,4,3,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,7,5,8,4,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,8,4,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,4,5,7,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,5,8,3,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,7,4,5,8,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,7,8,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,6,7,8,3,1,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,6,8,5,3,4,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,7,8,5,3,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,7,3,4,1,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[8,5,6,7,3,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,8,3,4,1,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,5,6,8,3,4,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,5,7,8,3,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,4,3,5,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,7,3,4,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,6,3,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,3,6,7,1,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,4,3,5,6,7,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,4,5,6,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,4,6,3,8,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,5,4,7,3,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,3,6,8,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,3,4,5,6,8,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,5,4,3,7,8,1,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[4,5,6,3,7,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,3,5,7,8,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,4,5,7,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,3,6,7,8,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,5,6,7,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,5,4,2,1,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,7,5,6,4,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,6,4,2,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,5,6,8,4,2,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,5,7,8,4,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,8,4,2,1,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,5,7,4,8,2,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,4,6,7,8,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,5,4,1,2,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[7,8,5,6,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,7,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,6,8,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,8,4,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,6,7,8,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,4,6,1,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,4,5,6,1,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,8,4,5,6,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,4,7,1,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,4,5,7,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,5,6,7,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,4,8,1,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,5,4,6,8,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,7,8,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,6,4,7,8,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,7,8,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,5,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,5,3,2,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[8,6,7,5,3,2,1,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,7,5,6,3,2,1,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[6,5,7,8,3,2,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[8,7,6,5,2,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,6,7,5,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,5,2,3,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,7,8,5,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,6,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,6,2,3,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,7,5,8,2,3,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,6,7,8,2,3,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[8,7,6,5,3,1,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,8,6,5,3,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,7,5,3,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,6,3,1,2,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[8,6,5,7,3,1,2,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,5,6,8,3,1,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,6,7,8,3,1,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[8,7,6,5,2,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,5,2,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,5,2,1,3,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,8,5,6,2,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,7,2,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,7,2,1,3,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,6,5,8,2,1,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,8,6,5,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,5,1,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,7,8,5,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,6,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,7,1,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,5,6,7,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,8,1,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,5,6,8,1,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[8,7,6,4,3,2,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,6,3,4,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,3,4,2,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,7,8,4,2,3,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,7,3,2,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,3,2,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,2,3,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,3,4,1,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,8,6,3,4,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,7,3,4,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,4,2,1,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,6,4,1,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,8,4,1,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,6,3,2,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,3,2,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,3,2,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,8,6,2,3,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,7,2,3,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,3,1,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,3,1,2,4,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,7,8,3,1,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,2,1,3,4,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,7,6,1,2,3,4,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,6,7,1,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,1,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,5,2,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,5,2,3,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[8,7,5,3,2,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,3,2,5,1,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,7,2,3,4,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,2,3,4,5,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,8,5,4,2,1,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,5,4,1,2,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,4,5,1,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,3,2,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,3,1,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,2,1,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,1,2,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,3,2,1,5,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,8,4,2,3,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,3,2,4,1,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,8,2,3,4,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,2,1,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,1,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,3,2,1,4,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,2,3,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,3,1,2,4,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,8,2,1,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,1,2,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,3,4,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,3,6,1,2,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,4,5,3,6,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,3,5,6,1,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,4,5,6,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,4,2,1,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,4,5,6,2,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,4,1,2,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,4,5,1,2,3,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,6,5,3,2,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,3,2,1,4,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,6,5,2,3,1,4,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[8,5,6,2,3,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,3,1,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,2,1,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,2,1,3,4,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,6,4,3,2,1,5,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,6,4,2,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,3,2,4,1,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,6,2,3,4,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,4,1,2,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,5,1,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,2,1,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,1,2,3,6,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,4,5,1,2,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,3,2,1,4,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,1,2,3,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,1,2,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,1,3,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,2,3,5,6,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,3,2,1,4,5,6,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,2,3,1,4,5,6,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,3,1,2,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,1,3,4,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,2,3,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,7,3,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,6,7,3,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,7,3,4,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,4,5,2,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,4,7,2,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,7,3,2,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,7,2,3,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,4,2,3,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,2,3,4,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,6,3,2,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,3,4,6,2,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,4,5,6,2,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,2,3,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,4,2,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,4,5,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,6,7,3,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,4,5,6,7,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,4,5,2,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,6,7,2,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,6,7,1,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,5,3,2,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,5,6,2,3,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,7,2,3,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,5,2,1,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,5,1,2,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,7,1,2,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,4,2,3,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,2,3,4,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,2,3,1,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,1,2,3,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,4,5,1,2,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,5,2,3,1,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,5,1,2,3,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,3,4,1,2,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,3,1,2,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,1,2,3,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,8,7,5,4,3,2,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[5,8,7,6,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,6,4,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,6,8,7,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,6,5,3,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,6,8,7,5,3,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,7,8,6,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,7,6,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,8,7,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,6,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,7,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,8,6,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,5,8,4,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[3,5,7,6,8,4,2,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,5,6,7,8,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,8,7,6,5,2,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,3,6,7,8,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,7,8,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,5,7,8,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,5,8,7,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,5,4,3,8,7,2,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[4,5,6,3,8,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,3,6,8,7,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,5,6,8,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,6,5,3,8,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,4,7,6,3,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,6,4,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,6,5,8,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,5,3,7,6,8,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,5,4,7,6,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,7,6,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,4,7,8,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,3,6,5,7,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,7,5,4,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,6,8,5,4,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,8,7,6,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,7,5,8,4,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,4,8,7,6,5,3,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,4,6,7,8,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,8,7,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,4,5,7,8,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,6,5,4,8,7,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,5,6,8,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,5,4,8,3,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,5,6,7,4,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,7,5,8,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,6,4,7,8,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,6,5,7,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,6,7,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,6,8,7,5,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,5,6,7,8,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,3,6,7,8,5,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,3,5,8,7,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,6,5,8,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,6,5,8,4,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,5,7,6,8,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,3,5,6,7,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,2,6,8,7,5,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[3,4,2,7,8,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,4,3,6,8,7,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,3,4,7,8,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,4,6,8,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,7,6,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,6,7,8,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,5,4,2,7,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,2,8,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[3,4,5,2,7,8,6,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[2,5,4,3,7,8,6,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[2,4,5,3,8,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,4,5,3,7,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,5,4,7,8,6,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[2,3,5,4,7,8,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,3,2,5,7,8,6,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[3,4,2,5,8,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[3,4,2,5,7,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,4,5,7,8,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,3,4,5,8,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,3,4,5,7,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,3,2,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,4,6,3,2,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,6,5,2,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,5,6,2,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,6,5,3,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,5,6,4,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,5,3,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,2,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,4,5,6,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,6,4,3,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,7,6,5,3,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,5,3,2,8,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[3,5,6,7,4,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,6,5,2,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,4,6,7,5,2,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,3,7,6,2,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,4,5,7,6,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,3,7,2,8,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[3,5,6,4,7,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,4,6,5,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,6,7,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,5,7,4,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,7,4,3,8,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,5,4,7,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,5,7,3,8,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,4,5,6,7,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,5,7,6,4,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,6,5,7,4,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,3,5,7,6,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,5,6,7,4,8,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[4,3,2,6,7,5,8,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[3,4,2,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,4,2,6,7,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,3,6,7,5,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,3,4,7,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,3,4,6,7,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,2,7,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,5,2,7,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,2,5,7,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,4,5,7,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,6,5,4,2,7,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,5,4,6,2,7,8,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[2,5,6,4,3,7,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,6,5,3,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,6,3,7,8,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[3,2,5,6,4,7,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,3,6,5,4,7,8,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,3,5,6,4,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,2,6,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,4,6,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,5,4,2,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,3,6,7,8,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[2,4,5,3,6,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,5,4,6,7,8,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[2,3,5,4,6,7,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,3,5,6,7,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,6,8,7,5,4,3,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,7,6,8,5,4,3,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,5,8,7,6,4,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,6,5,8,4,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,5,7,8,4,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,6,7,8,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,6,7,5,8,3,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,5,6,4,7,8,3,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,5,4,6,7,8,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,6,8,7,5,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,5,8,7,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,3,5,6,7,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,3,6,8,7,5,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,4,3,7,6,8,5,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,3,4,7,6,8,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,5,3,7,8,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,3,5,7,8,6,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,3,4,5,7,8,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,6,5,3,8,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,4,5,3,6,8,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,3,4,5,6,8,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,6,5,7,4,3,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,5,6,7,3,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,4,6,7,5,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,4,5,7,6,8,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,5,4,6,3,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,4,6,5,7,8,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,4,5,3,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,3,5,6,7,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,3,4,5,6,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,1,6,8,7,5,4,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,7,6,8,5,4,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,6,5,8,7,4,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,5,6,7,8,4,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,4,6,8,7,5,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,4,5,7,8,6,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,5,7,6,4,8,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,6,5,7,4,8,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,4,6,7,5,8,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,5,6,4,7,8,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,4,5,6,7,8,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[1,2,7,6,8,5,4,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,6,5,8,7,4,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,5,6,7,8,4,3]=>{{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
[1,2,4,5,7,8,6,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,5,7,6,4,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,5,6,4,7,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,4,5,6,7,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,6,5,3,2,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,4,6,3,2,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,3,6,5,2,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,4,5,6,2,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,4,6,5,3,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,3,5,6,4,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,5,4,2,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,3,5,2,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,4,5,3,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,4,2,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,3,4,5,6,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,7,6,5,3,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,7,6,3,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,6,7,4,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,5,7,6,4,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,5,4,7,6,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,4,5,6,7,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,5,7,6,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,6,5,7,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,4,2,6,7,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,4,6,7,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,5,4,6,3,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,4,2,6,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,6,5,7,4,3,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,4,5,6,7,3,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,3,5,7,6,4,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,3,6,5,7,4,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,3,4,6,7,5,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,5,4,6,3,7,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,3,5,6,4,7,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,4,5,3,6,7,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,3,4,5,6,7,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[2,4,1,6,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,1,4,6,3,8,5,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,1,6,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,8,1,3,5,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,4,1,6,3,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,1,4,6,3,7,8,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,1,6,3,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,7,1,3,8,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,1,4,6,7,8,3,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,1,6,7,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,7,8,1,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[2,1,4,7,3,5,8,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,1,7,3,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,7,3,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,1,4,7,8,3,5,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,1,7,8,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,8,1,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,4,5,7,3,8,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,1,5,7,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,7,1,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,4,5,7,8,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,4,8,3,5,6,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,1,8,3,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,4,5,8,3,6,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,1,5,8,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,5,6,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,4,5,6,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,1,4,5,6,8,3,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,1,5,6,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,6,1,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,5,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,4,5,6,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,4,1,5,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,6,1,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,6,7,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,3,6,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,5,6,1,3,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,1,5,3,6,8,4,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,5,1,3,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,1,3,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,5,6,8,3,4,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,5,1,6,8,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,1,3,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,5,1,6,7,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,1,5,3,6,7,8,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,5,1,3,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,1,3,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,5,6,7,3,8,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,5,1,6,7,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,1,7,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,7,8,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,5,3,7,4,8,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,5,1,3,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,7,1,3,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,3,7,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,5,1,7,8,3,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,5,7,1,8,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,3,7,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,5,1,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,5,7,8,1,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,1,5,3,8,4,6,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,5,1,3,8,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,8,1,3,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,5,1,8,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,5,1,6,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,3,5,1,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,5,6,8,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,5,6,7,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,5,1,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,5,6,7,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,6,7,3,4,8,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,6,1,7,3,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,6,3,7,8,4,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,6,1,3,7,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,7,3,8,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,6,7,1,3,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,7,1,8,3,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[2,6,7,8,1,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,7,3,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,6,1,3,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,6,1,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,1,6,3,4,7,8,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,6,1,3,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,1,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,1,7,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,7,1,8,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,1,6,8,3,4,5,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,6,1,8,3,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,6,3,4,8,5,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,6,1,3,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,1,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,3,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,3,6,1,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,3,4,6,1,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,6,1,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,4,6,1,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,6,7,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,7,3,8,4,5,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,7,1,3,8,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,1,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,1,4,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,1,7,3,4,5,8,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,7,1,3,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,1,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,7,1,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,7,1,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,3,4,7,8,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,3,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,7,1,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,4,7,1,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,4,5,7,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,4,5,7,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,5,7,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,1,8,3,4,5,6,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,8,1,3,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,1,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,8,1,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,5,8,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,5,6,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,6,2,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,4,6,1,2,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,1,4,6,2,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,1,6,2,8,5,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,4,6,8,1,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,1,2,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,4,6,7,1,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,1,4,6,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,1,6,2,7,8,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,4,6,1,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,7,1,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,6,7,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,1,6,7,8,2,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,4,6,1,7,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,7,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,1,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,1,8,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,5,7,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,1,5,7,2,8,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,1,4,5,7,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[3,4,5,1,7,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[3,1,4,8,2,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,1,8,2,5,6,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,4,8,1,2,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,5,8,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,1,5,8,2,6,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,1,4,5,6,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,4,5,1,6,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,1,4,5,6,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,1,5,6,8,2,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,4,5,6,8,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,5,6,7,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,4,5,1,6,7,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,1,4,5,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,1,5,6,7,8,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,4,5,1,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,5,6,7,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,5,2,6,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,1,5,2,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,2,6,8,4,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,5,6,1,2,8,4,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,1,5,6,8,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,6,8,2,4,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,5,6,1,8,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,1,7,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,1,5,2,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,2,6,7,8,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,5,6,1,2,7,8,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,1,5,6,7,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,6,7,2,8,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,5,6,1,7,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,7,1,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,5,2,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,2,7,4,8,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,5,7,1,2,4,8,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,1,5,2,7,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[3,1,5,7,8,2,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,5,7,8,1,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,5,2,7,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,3,5,2,7,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,3,5,2,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,5,2,8,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,2,8,4,6,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[1,3,5,2,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,5,2,6,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,5,6,8,2,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,5,2,6,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,3,5,6,7,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[3,6,1,7,2,4,8,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,6,7,1,2,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,1,2,7,8,4,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,1,6,7,2,8,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,6,7,8,1,2,4,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[3,1,6,7,2,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,6,7,1,2,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,1,6,2,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,3,6,2,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[3,1,6,2,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,1,2,4,7,8,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[1,3,6,2,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,6,7,2,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,6,2,7,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,6,8,2,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,1,8,2,4,5,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,6,8,1,2,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,6,2,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,1,2,4,8,5,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[1,3,6,2,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,6,2,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[1,3,4,6,2,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[3,1,7,2,8,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,1,2,8,4,5,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[1,3,7,2,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,7,2,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,1,2,4,5,8,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[1,3,7,2,4,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,4,7,2,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,4,7,8,2,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,7,2,4,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,3,7,2,4,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,3,4,7,2,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,3,4,5,7,2,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[3,1,8,2,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,1,2,4,5,6,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[1,3,8,2,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,4,8,2,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,4,5,8,2,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,4,5,6,8,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,5,1,2,6,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,1,5,6,2,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,5,1,2,6,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,6,2,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,6,2,8,3,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,5,1,6,8,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,1,8,2,3,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,5,6,8,1,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,2,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,1,6,7,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,1,2,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,6,2,7,8,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,5,1,6,7,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,1,7,2,8,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,5,6,7,1,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,6,7,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,2,7,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,7,2,3,8,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,5,1,2,7,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,1,5,7,2,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,5,7,8,1,2,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[4,5,1,2,7,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,1,2,5,7,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,4,2,5,7,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,4,5,7,2,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[4,1,2,5,7,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,5,7,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,5,7,2,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,2,5,7,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[1,4,5,7,8,2,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,5,1,2,8,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,8,2,3,6,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,1,2,5,8,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,5,8,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,2,5,6,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,1,2,5,6,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,5,6,8,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,2,5,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,4,2,5,6,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,4,5,6,2,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[4,1,2,5,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,5,6,7,8,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,5,6,2,7,8,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,5,6,7,8,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,6,7,2,3,8,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,6,7,1,2,3,8,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,6,1,2,7,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,7,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,6,1,7,2,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,1,2,3,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,1,2,6,3,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,4,2,6,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[4,1,2,6,3,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,6,7,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,6,7,2,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,6,8,2,3,5,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,6,1,8,2,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,8,1,2,3,5,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,6,1,2,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,6,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,6,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,6,1,2,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,1,2,6,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[1,2,4,6,3,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,4,6,7,8,3,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,7,1,2,8,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,8,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,1,2,3,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,1,2,7,8,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,7,8,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,7,8,2,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,7,1,2,3,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,7,3,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,7,3,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,4,7,3,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,4,7,8,3,5,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,7,1,2,3,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,1,2,7,3,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,4,2,7,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,2,4,5,7,3,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,8,1,2,3,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,8,3,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,8,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,4,8,3,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,4,5,8,3,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,4,5,6,8,3,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[5,1,6,2,7,3,8,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[5,6,1,2,7,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,1,2,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,1,2,8,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,1,6,7,8,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,7,8,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,1,6,2,3,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,1,2,6,7,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,5,2,6,7,3,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[5,1,6,2,3,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,6,2,3,7,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,2,6,7,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,6,2,7,8,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,6,7,8,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,6,2,8,3,4,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[5,6,1,2,8,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,1,2,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,2,3,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,6,2,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,2,6,8,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,2,6,8,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,6,2,3,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,1,2,3,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,2,3,6,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,5,6,8,3,4,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[5,1,2,3,6,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,5,2,3,6,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[5,1,2,3,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,2,3,6,7,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,5,3,6,7,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,5,6,7,3,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[5,1,7,2,8,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,1,8,2,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,2,3,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[5,1,2,7,8,3,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[1,5,7,2,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,7,2,3,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,7,2,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,2,3,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,2,3,7,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,5,3,7,4,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[5,1,2,3,7,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[5,1,7,2,3,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,5,2,3,7,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[5,1,8,2,3,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,8,2,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,2,3,8,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,2,3,8,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,5,3,8,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,1,7,2,8,3,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,1,7,8,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,7,2,3,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,2,7,3,8,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[1,6,7,2,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,7,8,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,7,1,2,3,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,2,7,3,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,2,7,3,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,6,7,3,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,1,2,3,7,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,2,3,7,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,6,3,7,8,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,1,2,7,3,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,6,2,7,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[6,1,2,3,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,6,2,3,4,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[6,1,2,3,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,2,3,4,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,6,3,4,7,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,8,1,2,3,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,2,8,3,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,2,8,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,6,8,3,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,1,2,3,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,2,3,4,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,6,3,4,8,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,1,2,3,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[7,1,8,2,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,8,2,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,1,2,3,8,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,2,3,8,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,7,3,8,4,5,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[7,1,2,3,4,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,1,2,3,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,2,3,4,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,7,3,4,5,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,7,2,3,4,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,2,3,4,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,8,3,4,5,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[5,3,7,1,2,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,4,7,1,2,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,3,6,1,2,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,2,8,1,4,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,4,8,1,2,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,1,2,3,4,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,2,8,1,3,4,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,8,1,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,4,1,3,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,6,1,2,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,1,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,1,2,3,4,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,2,5,8,1,3,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,3,5,8,1,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,6,8,1,4,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,4,8,1,3,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,4,8,1,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,5,8,1,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,8,1,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,8,1,2,4,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,2,7,8,1,3,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,7,8,1,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,8,1,2,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[7,3,5,8,1,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,8,1,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,5,6,1,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,4,7,1,3,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,5,7,1,2,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,7,2,5,1,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,2,5,1,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,8,2,6,1,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,8,4,6,1,2,3,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,8,3,5,1,2,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,8,2,7,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,7,1,3,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,8,5,7,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,6,1,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,7,1,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,4,2,5,1,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,5,2,6,1,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,3,2,8,1,5,6,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,3,2,8,1,4,5,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,4,2,8,1,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,3,8,1,2,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,3,8,1,2,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,4,8,1,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,2,5,1,4,6,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,4,2,5,1,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,3,6,1,2,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,2,7,1,4,5,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,4,2,7,1,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,3,7,1,2,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,2,7,1,3,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,7,2,4,1,3,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,2,5,1,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,3,5,1,2,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,3,5,8,1,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,2,4,8,1,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,7,4,6,8,1,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,8,3,5,7,1,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,2,4,7,1,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,8,2,6,7,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,6,7,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,3,6,7,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,8,2,5,7,1,3,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,8,4,5,7,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,8,2,4,6,1,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,2,5,6,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,3,5,6,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,2,6,8,1,4,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,4,2,6,8,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,3,6,8,1,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,2,7,8,1,5,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,5,2,7,8,1,3,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,4,2,5,8,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,3,5,8,1,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,2,6,8,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,3,6,8,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,2,6,7,1,4,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,6,2,4,7,1,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,2,5,7,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,3,5,7,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,7,2,6,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,3,8,2,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,3,4,1,2,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[4,3,8,2,7,1,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[5,3,8,2,7,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,2,7,1,3,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,4,8,3,7,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,8,2,7,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,3,8,2,5,1,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,4,8,3,5,1,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,5,8,2,6,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,2,5,1,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,6,2,5,1,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,5,7,2,6,1,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[8,6,7,2,4,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[8,6,7,3,5,1,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,5,4,2,6,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,4,2,8,1,3,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,5,3,2,8,1,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,4,2,8,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,2,8,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,3,2,6,1,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,4,2,6,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,2,4,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,3,2,7,1,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,6,4,3,7,1,2,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,7,5,2,6,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,3,6,1,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,7,6,2,4,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,2,5,1,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,4,7,2,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,3,7,2,5,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,8,4,7,2,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,7,3,5,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,8,4,6,2,5,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[5,4,3,8,2,7,1,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,5,8,2,4,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[8,5,4,7,3,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,6,4,7,3,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,7,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,3,6,2,5,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,4,6,2,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,6,2,4,1,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[8,6,5,3,2,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,3,2,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,6,3,2,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,4,2,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,6,5,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,3,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,3,6,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,3,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,1,2,3,6,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,3,8,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,3,6,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,8,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,5,3,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,5,3,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,6,3,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,1,2,6,3,4,8,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,1,2,5,3,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,5,3,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,2,5,3,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,8,6,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,8,7,3,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[4,1,2,7,6,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,5,6,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,7,6,3,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[7,1,2,5,6,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,5,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,8,6,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,5,6,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,2,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,2,6,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,2,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,1,7,2,6,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,5,2,8,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,2,6,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,2,3,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,2,3,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,2,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,2,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,2,3,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,5,2,3,4,6,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,1,5,2,3,4,8,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[6,1,5,2,3,8,4,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[8,1,5,2,3,7,4,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[6,1,5,2,3,7,8,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[5,1,4,2,8,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,2,7,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,2,6,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,2,7,3,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,1,4,2,6,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,5,2,7,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,2,6,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,2,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,2,6,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,2,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,8,2,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,5,2,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,5,2,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,6,2,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,1,7,6,2,4,8,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,1,6,5,2,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,5,2,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,6,5,2,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,5,2,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,5,2,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,5,2,3,4,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,1,8,6,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,5,2,3,8,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,1,4,5,2,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,5,2,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,5,2,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,8,6,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,8,7,2,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,1,4,7,6,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,5,6,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,7,6,2,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,1,7,5,6,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,5,6,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,5,6,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[7,1,4,5,6,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,5,8,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,8,6,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,5,6,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,5,6,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,3,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,3,6,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,3,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,7,1,3,6,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,3,8,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,3,6,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,8,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,5,3,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,5,3,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,6,3,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,7,1,6,3,4,8,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,6,1,5,3,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,5,3,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,5,3,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,8,6,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,8,7,3,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,4,1,7,6,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,5,6,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,7,6,3,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,7,1,5,6,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,5,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,8,6,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,5,6,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,2,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,2,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,2,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,2,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,2,8,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,2,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,2,6,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,2,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,3,1,2,6,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,2,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,2,8,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,2,6,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,2,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,2,3,5,8,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,4,1,2,3,8,5,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,4,1,2,3,7,5,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,4,1,2,3,7,8,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,4,1,2,8,3,6,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,4,1,2,7,3,8,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,4,1,2,6,3,5,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,4,1,2,6,3,8,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,8,1,2,7,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,1,2,6,8,3,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,4,1,2,8,7,3,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,4,1,2,6,7,3,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,4,1,2,6,7,8,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[4,3,1,8,2,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,7,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,6,2,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,8,2,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,6,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,5,2,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,5,2,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,6,2,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,3,1,6,2,4,8,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,3,1,5,2,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,5,2,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,5,2,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,6,2,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,8,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,6,2,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,1,6,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,6,2,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,5,8,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,5,7,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,8,6,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,8,7,2,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[4,3,1,7,6,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,5,6,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,7,6,2,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[7,3,1,5,6,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,5,7,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,7,6,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,5,6,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,5,8,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,8,6,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,5,6,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,5,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,1,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,1,6,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,1,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,3,7,1,6,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,5,1,8,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,1,6,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,1,3,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,4,1,3,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,1,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,1,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,1,3,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,5,1,3,4,6,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,7,5,1,3,4,8,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,6,5,1,3,8,4,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,8,5,1,3,7,4,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,6,5,1,3,7,8,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,5,4,1,8,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,1,7,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,1,6,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,1,7,3,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,7,4,1,6,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,5,1,7,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,1,6,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,1,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,1,6,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,1,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,1,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,1,2,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,1,2,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,1,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,4,1,2,3,8,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[6,8,5,1,2,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,1,2,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,1,2,8,3,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,5,4,1,2,7,3,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[6,8,5,1,2,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,1,2,7,8,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[5,3,4,1,8,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,1,7,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,1,6,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,1,7,2,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,3,4,1,6,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,5,1,7,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,1,7,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,1,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,1,6,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,1,8,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,1,6,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,1,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,8,1,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,5,1,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,5,1,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,6,1,4,5,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,3,7,6,1,4,8,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,3,6,5,1,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,5,1,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,5,1,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,5,1,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,4,5,1,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,6,5,1,3,4,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,7,8,6,1,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,5,1,3,8,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,6,4,5,1,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,5,1,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,5,1,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,5,1,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,8,6,1,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,5,1,2,8,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,3,4,5,1,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,5,1,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,5,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,8,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,8,7,1,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,3,4,7,6,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,5,6,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,7,6,1,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,3,7,5,6,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,5,6,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,5,6,1,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,7,4,5,6,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,5,6,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,5,8,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,8,6,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,5,6,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,5,6,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,6,4,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,5,2,7,4,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[3,5,2,7,4,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,2,3,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,2,3,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,5,6,2,3,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,5,6,3,1,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,5,7,3,2,8,6,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,6,7,3,8,2,5,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[4,6,7,3,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,5,7,3,1,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,1,5,7,4,8,6,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[3,5,1,7,4,8,6,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[4,5,7,1,3,8,6,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,5,7,3,1,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,3,8,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,3,8,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,8,3,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,8,1,3,4,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,6,7,1,8,3,5,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,6,1,7,8,4,5,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[2,1,6,7,8,4,5,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[4,6,7,2,8,3,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,6,7,2,8,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,7,8,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,7,8,4,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,6,2,7,8,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,7,8,5,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[4,6,7,2,8,5,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[4,6,7,2,8,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,8,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,8,2,4,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,6,7,8,1,4,2,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,6,7,1,8,5,2,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,6,1,7,8,5,2,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[2,1,6,7,8,5,3,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,6,7,8,4,1,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,3,1,5,2,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[7,3,1,5,2,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[8,4,5,1,2,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,1,2,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[6,4,5,1,2,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,6,4,1,2,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[8,6,4,1,7,2,3,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,7,4,1,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[5,7,4,1,2,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,1,8,5,3,7,4,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[3,8,1,5,2,7,4,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[4,8,5,1,2,7,3,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,8,4,1,2,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,1,7,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,1,6,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,7,1,2,3,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,8,6,1,7,2,3,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,8,1,6,7,2,4,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[2,1,8,6,7,3,4,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[7,4,6,1,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[8,4,6,1,7,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,6,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,6,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,3,1,8,6,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,1,6,2,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[7,4,8,1,6,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,6,1,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,6,1,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,7,8,6,1,2,3,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,7,8,1,6,2,3,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,7,1,8,6,2,4,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[2,1,7,8,6,3,4,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[6,8,7,5,1,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,4,7,3,8,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,3,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,3,7,6,8,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,4,3,6,8,7,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,4,2,6,7,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,2,6,7,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,2,6,8,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,8,4,2,5,1,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,3,2,1,5,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,4,2,7,8,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,2,1,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,2,1,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,2,1,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,2,8,7,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,2,6,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,8,2,1,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,8,2,1,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,8,3,2,1,4,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,8,2,1,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,6,1,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,1,6,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,1,4,6,2,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,1,3,2,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,2,1,3,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,1,8,2,3,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,8,2,3,7,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,2,8,1,3,7,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,6,8,4,7,5,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,6,8,1,3,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,8,7,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,3,8,1,2,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,1,8,7,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,7,3,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,8,7,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,5,8,7,2,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,6,8,2,1,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,8,3,7,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,2,8,7,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,5,8,7,1,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,3,5,8,7,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,4,5,8,7,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,2,5,3,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,1,4,2,6,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,2,7,1,4,3,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,5,1,4,3,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,1,7,2,5,4,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,1,4,3,7,2,6,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,1,5,3,7,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,2,6,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,8,2,6,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,1,7,3,6,4,8,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,1,7,2,6,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,2,7,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,2,6,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,1,3,2,6,4,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,1,3,2,7,4,8,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,7,1,3,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,8,1,4,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,2,8,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,5,2,8,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,5,2,8,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,8,1,5,2,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,7,2,6,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,3,7,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,4,7,2,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,7,3,8,2,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[5,1,7,3,8,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,6,3,8,1,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,3,6,2,8,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,2,4,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,3,8,2,4,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,4,2,5,8,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,5,8,3,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[4,5,2,1,6,8,3,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,3,1,6,8,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,1,4,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,6,3,8,2,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,5,1,6,3,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,3,2,8,1,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,4,5,3,8,2,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,4,5,3,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,8,3,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,3,1,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,7,1,5,8,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,3,5,8,1,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,8,3,1,5,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,7,4,8,3,5,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,1,6,7,3,8,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,4,7,1,8,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,3,1,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,8,4,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,2,7,3,8,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,7,2,1,8,3,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[5,7,3,1,8,2,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,7,1,5,2,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,4,2,5,1,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[6,7,4,2,8,3,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,7,4,2,8,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,2,1,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,3,8,2,1,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,4,7,8,2,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,8,2,5,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,4,7,8,2,1,5,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,4,1,7,8,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,2,1,8,4,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,6,1,7,2,8,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,6,7,1,8,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,5,2,4,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,6,7,8,1,5,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,6,1,7,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,1,8,4,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[8,6,1,3,4,2,5,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,3,2,7,4,1,8,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[7,2,4,5,8,3,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,4,5,3,7,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,4,5,6,1,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,5,6,2,1,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,3,6,4,1,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,1,5,6,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,8,3,2,6,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,3,6,7,2,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,3,7,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,7,1,2,8,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[7,5,8,2,1,4,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,3,6,7,8,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,4,7,8,3,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,4,7,8,3,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,5,6,7,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,1,7,8,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,7,1,4,8,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[4,3,6,7,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,5,6,7,8,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,7,8,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[5,3,1,7,8,2,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[4,5,2,7,8,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,7,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,4,2,1,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,1,3,5,8,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[7,8,4,2,1,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,1,3,4,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,2,7,1,8,5,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[3,6,2,7,1,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,3,8,2,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,2,7,8,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,8,6,2,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,4,1,5,8,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,5,8,2,1,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,6,1,7,8,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,6,7,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,6,7,8,4,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,5,6,7,8,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,2,6,7,8,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,4,7,8,5,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,6,3,4,8,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,7,5,4,8,3,6,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[5,8,6,2,4,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,7,4,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,8,4,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,7,8,2,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,2,8,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,7,8,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,2,7,1,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,1,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,7,1,3,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,8,1,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,8,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,2,3,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,3,1,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,3,1,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,3,7,8,5,6,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,5,2,3,8,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,5,4,8,1,6,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[1,5,8,3,7,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,5,1,3,8,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,1,2,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,7,3,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,8,6,5,3,4,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[6,8,1,7,2,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,6,2,4,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,6,1,2,3,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,5,2,4,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,5,1,2,3,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,7,5,3,8,4,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,1,5,2,7,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,1,2,7,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,2,7,3,6,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,4,1,6,2,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,6,1,7,2,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,7,2,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,6,8,3,4,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,6,1,8,2,3,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,7,1,2,8,3,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,1,7,2,8,4,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,1,8,2,7,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,7,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,7,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,2,7,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,2,7,4,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[1,5,8,3,7,4,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,8,7,3,4,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,1,8,7,2,4,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,8,7,1,2,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,1,2,3,4,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,8,1,6,2,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,6,2,4,5,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,2,5,4,7,1,8,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,2,5,3,7,1,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,1,5,3,6,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,3,5,2,7,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,2,7,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,1,7,2,8,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,1,5,4,7,2,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,5,3,7,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,6,1,7,5,8,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,3,6,5,7,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,4,7,1,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,3,6,1,7,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,3,7,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,6,4,7,5,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,1,6,3,7,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,2,7,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,6,3,7,1,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,6,3,7,5,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,6,4,7,5,8,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[3,2,5,1,7,4,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,6,1,7,5,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,6,5,7,1,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,1,5,2,7,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,1,6,3,7,5,8,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[3,1,6,2,7,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,2,7,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,6,1,7,4,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,6,4,7,1,8,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[5,4,6,2,7,1,8,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,4,6,1,7,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,4,7,2,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,6,5,7,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,6,5,7,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,5,7,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[5,4,6,1,7,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[5,4,6,3,7,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,5,2,1,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,5,2,4,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,5,2,4,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[2,4,5,7,3,1,8,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[8,2,5,4,6,1,3,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,6,3,5,1,4,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,7,4,3,2,1,8,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[4,7,6,3,2,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,6,7,3,2,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,4,2,1,3,8,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[8,3,7,5,1,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,7,5,3,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,7,4,8,6,3,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,4,7,6,3,5,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[3,1,5,8,6,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,6,1,4,7,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,7,6,8,1,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,6,7,5,8,2,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[2,3,5,7,6,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,6,5,7,8,3,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[3,2,6,1,4,7,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,7,3,2,1,5,8,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,6,1,3,4,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,5,7,3,2,1,6,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,3,6,7,2,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,8,2,1,7,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,2,6,5,7,4,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,7,2,5,8,6,4,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[8,7,6,3,5,1,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,2,5,1,6,8,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,6,2,5,4,8,1,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[3,5,2,4,7,1,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,2,6,5,3,8,1,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,2,1,6,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,1,4,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,4,3,8,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,3,6,2,8,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,7,5,8,3,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,2,5,8,4,1,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,8,5,7,4,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,5,4,8,7,3,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,3,8,7,6,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,1,8,7,3,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,8,7,3,1,4,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,6,5,3,2,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,3,2,8,7,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,2,7,6,3,1,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,5,2,1,7,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,6,3,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,2,4,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,6,2,4,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,5,7,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,2,7,1,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,8,3,6,2,1,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,2,6,8,1,7,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,8,1,5,7,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,2,7,5,1,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,2,8,1,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,7,6,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,7,2,8,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,6,1,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,1,6,4,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,4,2,7,3,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,4,2,6,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,6,3,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,6,2,3,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,2,8,6,4,1,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,8,5,2,7,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,1,6,8,2,3,4,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[3,2,8,7,1,4,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,8,7,2,1,3,4,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,5,8,2,3,1,4,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[8,5,7,2,1,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,8,3,1,5,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,4,2,1,3,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,1,8,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,1,7,3,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,5,1,2,8,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,2,3,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,1,3,8,5,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,2,6,1,4,8,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,7,1,8,4,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,7,2,1,8,3,5,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[7,6,1,8,2,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,7,2,3,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[1,7,8,6,2,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,1,8,7,2,3,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[4,3,5,6,1,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,3,7,5,1,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,7,1,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,6,2,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,3,5,1,7,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,2,4,6,7,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,4,8,6,5,7,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,5,4,8,1,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,1,4,6,8,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,5,4,6,7,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,3,7,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,3,8,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,7,4,2,8,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,4,1,3,5,8,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,8,4,1,7,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,3,7,4,1,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,7,2,6,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,3,8,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,7,4,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,6,1,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,8,6,5,4,7,1,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,7,4,1,6,5,8,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,6,1,2,8,7,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[2,4,1,5,8,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[7,3,5,4,6,1,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,4,1,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,3,1,5,7,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,1,4,5,6,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,5,2,1,4,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[8,5,2,7,4,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,5,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,3,4,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,8,7,4,3,6,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,8,3,7,4,2,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,8,7,4,1,2,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,1,3,5,2,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,7,3,2,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,8,6,3,1,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,6,3,2,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,1,6,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,8,1,2,7,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,4,2,5,7,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,3,5,2,7,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,2,1,7,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,2,5,1,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,1,4,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,7,1,5,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[5,7,8,6,3,4,1,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,1,8,5,4,3,6,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,1,8,3,6,5,2,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,4,8,1,7,2,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,4,1,3,7,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,2,4,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[6,8,2,4,3,5,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,8,2,3,5,1,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,2,1,4,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,8,1,3,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,4,1,6,5,3,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,8,7,6,1,4,5,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,8,5,3,6,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,5,6,7,4,1,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,5,8,6,1,4,3,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,5,8,2,1,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,6,2,1,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,7,6,1,4,8,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,1,6,7,4,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[5,1,2,6,4,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,1,2,8,6,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,1,6,8,7,3,4,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,1,6,8,4,3,5,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,1,2,8,4,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,6,8,2,3,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,8,3,6,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,4,8,6,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,4,8,6,5,2,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,7,5,6,8,4,1,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,6,5,2,8,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,2,5,8,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,1,6,5,8,3,4,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,1,6,7,8,3,5,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,1,2,6,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,2,5,6,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,8,4,2,1,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,2,1,6,5,3,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[7,8,2,6,4,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,8,2,6,4,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[6,1,2,5,8,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,7,6,4,2,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,1,7,5,6,8,4,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,6,7,3,8,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,6,1,8,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[4,6,5,7,1,2,8,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,1,6,3,4,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,7,1,4,2,3,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,7,6,4,3,8,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,1,4,2,7,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,6,2,4,7,8,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[6,1,4,2,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,8,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,6,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,7,8,2,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,3,7,5,6,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,5,2,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,8,2,1,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,6,7,8,5,1,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,7,8,5,1,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,6,2,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,8,6,3,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,5,1,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,8,6,7,5,1,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,4,2,7,1,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,5,1,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,3,6,1,7,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,3,6,2,4,8,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[4,3,7,1,2,5,8,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,6,2,7,1,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,4,1,2,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,7,1,5,2,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,1,2,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,2,3,8,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[8,6,4,2,3,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,2,3,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[3,7,6,1,4,8,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,8,2,6,3,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,6,2,7,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,1,4,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[5,3,7,2,4,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,4,6,3,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[8,4,6,3,7,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,3,7,1,8,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,1,2,7,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,4,8,5,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,8,2,7,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,8,7,1,2,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[5,8,7,1,6,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,8,7,6,1,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,6,1,2,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,6,4,5,7,2,8,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,3,2,5,1,8,4,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,2,6,3,4,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,7,3,4,5,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,7,6,2,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,3,5,2,4,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,7,6,2,4,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,2,3,7,1,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[8,5,2,1,7,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,2,3,1,8,4,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,4,8,6,2,7,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,8,2,1,7,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,6,3,7,2,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,2,7,3,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,1,7,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,1,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,7,3,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,7,1,8,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,3,7,1,2,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,5,8,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,1,3,6,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,1,6,8,2,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,4,6,3,8,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,4,5,8,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,2,8,7,1,4,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,3,1,8,7,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,3,7,6,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,8,1,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,2,3,5,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[3,7,8,2,4,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,4,7,8,2,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,8,7,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,8,6,1,3,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,1,8,7,3,4,5,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[1,2,8,7,3,4,5,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,3,8,7,2,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,8,3,6,2,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,1,6,7,3,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,7,3,2,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,1,5,3,6,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,3,2,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,4,3,2,7,5,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,1,5,4,6,7,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,5,3,6,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,4,3,2,5,6,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,4,1,3,2,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,4,8,3,2,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,3,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,3,2,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,5,1,4,6,8,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,4,8,3,2,5,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,4,3,8,2,5,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,3,7,2,5,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,3,1,7,2,8,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,3,1,2,7,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,4,1,8,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,3,2,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,3,2,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[6,4,3,1,2,8,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,3,8,2,7,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,3,8,7,2,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,3,1,8,2,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,1,8,3,2,4,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,6,1,8,4,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,1,4,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[7,6,8,1,3,2,5,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,4,8,3,2,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,7,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,3,7,8,2,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,3,7,2,8,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,2,1,3,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,3,7,8,2,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,7,8,4,3,5,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[7,8,1,2,5,4,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,1,3,7,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,7,1,8,2,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[1,8,2,4,3,5,6,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,7,2,5,3,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,2,5,3,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,2,8,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,2,8,3,6,5,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,7,2,6,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,2,6,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,2,5,3,6,4,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,6,2,5,3,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,2,3,4,6,5,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,8,2,3,4,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,2,4,3,7,5,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,6,2,4,3,8,5,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,6,2,5,3,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,2,5,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,2,6,3,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,2,8,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,2,8,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,2,8,3,6,4,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[5,6,8,3,4,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,3,4,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,6,7,2,4,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,8,4,3,1,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,6,2,8,5,1,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,7,8,1,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,7,8,1,3,5,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,7,2,8,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[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]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,7,8,1,4,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,8,1,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,8,3,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,8,3,1,4,6,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,7,3,8,1,5,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,5,2,3,8,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,5,3,2,8,1,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,3,8,2,1,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,7,3,8,1,2,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,7,8,3,1,2,4,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[3,2,7,8,1,5,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,7,8,2,1,4,3,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,7,8,1,4,3,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[6,7,8,1,4,2,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,7,8,1,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,1,2,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,1,2,5,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,7,8,1,3,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,2,1,3,6,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[3,2,7,8,1,4,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,8,4,5,6,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,6,5,7,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,4,8,5,1,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,7,5,2,1,8,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,5,2,7,4,1,8,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[3,5,2,6,4,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,3,1,8,6,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,6,1,8,7,2,4,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[2,3,4,8,6,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,4,8,6,5,1,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[7,3,5,6,8,4,2,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,3,5,1,8,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,1,5,8,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,7,6,5,8,3,4,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[3,6,4,7,8,2,5,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[3,1,4,6,8,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,4,5,7,1,8,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[1,8,4,5,2,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,8,6,4,3,7,2,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[6,4,7,5,1,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,5,6,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,5,7,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,8,6,7,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,6,1,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,1,6,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,5,8,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,1,7,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,1,7,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,5,7,1,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,7,2,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,3,2,6,7,4,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[6,2,1,4,3,7,8,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[1,8,4,7,2,6,5,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[3,6,4,8,2,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,8,1,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,6,7,5,4,2,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[3,5,7,8,6,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,1,8,3,5,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,3,5,1,7,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,1,7,5,8,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,6,8,4,1,7,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,7,5,6,1,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,1,7,5,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,7,5,3,1,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,1,2,7,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,2,6,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,2,7,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,7,6,1,5,8,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,5,1,7,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,6,7,1,5,8,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,6,5,8,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,6,8,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,5,2,1,7,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,3,5,2,7,6,8,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,7,6,2,5,8,3,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[7,6,2,1,5,8,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,1,5,7,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,2,4,1,7,5,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,1,6,4,8,2,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,5,2,3,7,6,8,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[8,4,2,6,7,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,2,7,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,2,5,7,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,1,3,7,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,3,5,7,6,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,3,7,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,7,8,3,4,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,5,6,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,5,6,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,2,4,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,8,4,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,7,4,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,2,8,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,8,7,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,5,1,7,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,8,3,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,5,8,7,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,1,8,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,7,3,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,8,2,3,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,8,3,2,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,7,2,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,7,2,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,2,5,6,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,7,8,6,4,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,7,1,2,8,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,7,1,5,3,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,1,6,3,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,1,3,6,5,2,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,7,2,8,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,7,1,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,8,3,4,7,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,8,2,1,7,3,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,5,7,2,3,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,5,4,7,1,6,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,7,6,2,4,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,7,6,1,2,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,7,2,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,8,4,3,7,5,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[6,8,7,3,2,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,7,3,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,3,1,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,7,3,1,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,7,1,2,6,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,8,4,1,7,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,7,1,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,5,7,1,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,1,7,2,6,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[8,5,3,7,1,2,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,8,1,3,7,2,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[4,6,2,8,1,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,4,8,3,7,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,7,6,1,3,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,3,2,7,1,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,5,2,7,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,4,5,7,1,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,5,2,3,7,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,5,2,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[8,5,4,2,1,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,2,1,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[6,5,4,2,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,5,4,1,3,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[8,7,4,1,6,3,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,7,4,1,6,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,1,6,5,3,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,5,4,1,3,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>6
[8,3,2,5,1,7,4,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,5,4,3,1,7,2,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,5,4,1,3,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,3,6,2,1,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,3,2,7,6,4,1,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[2,1,8,7,6,4,3,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[8,7,6,5,2,4,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,7,4,2,6,3,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,7,4,2,6,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,7,6,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,5,4,7,2,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,3,1,7,6,5,2,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,3,1,7,6,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,2,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,2,6,5,1,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,7,6,5,3,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,5,1,3,4,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,7,6,5,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,5,4,1,3,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,7,4,3,6,1,5,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,3,2,7,6,1,5,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[2,1,8,7,6,3,5,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[8,7,6,5,1,4,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,7,6,5,1,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,1,8,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,1,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,1,8,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,4,2,7,5,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[2,5,3,1,7,8,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,4,1,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,6,5,1,7,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,1,6,8,2,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[6,5,1,2,8,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,2,8,5,3,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,3,1,2,8,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,1,5,6,8,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,5,7,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,6,8,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,1,6,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,2,1,3,8,7,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,5,1,3,8,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,1,4,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,4,7,8,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,1,4,6,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,1,3,5,8,2,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,2,7,3,4,1,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,8,6,7,3,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,4,1,5,2,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,1,7,3,5,2,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,1,8,6,7,3,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,5,7,3,4,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,3,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,1,8,4,7,3,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,8,5,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,4,6,2,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,7,3,6,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,3,6,2,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,3,6,2,5,1,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,2,5,1,7,3,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,4,1,7,3,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,6,2,3,1,8,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,2,3,1,7,4,8,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,5,6,2,3,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,8,5,6,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,6,2,8,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,1,6,2,8,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,8,4,6,2,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,2,7,3,8,4,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,5,1,6,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,8,5,6,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,7,4,8,5,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,7,3,8,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,6,1,3,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,8,1,3,6,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,1,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,5,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,5,3,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,3,1,2,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,6,7,8,3,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,7,8,2,1,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[2,5,7,6,8,1,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,1,6,8,4,5,3,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,7,1,8,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,7,6,8,5,4,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,4,2,8,6,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,8,3,6,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,6,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,6,1,3,4,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[7,6,5,8,1,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,1,4,8,3,5,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[7,1,6,5,3,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,7,1,8,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[5,6,7,4,2,8,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,1,5,2,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,2,8,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,3,8,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,1,5,3,2,8,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,5,6,4,1,2,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,4,6,1,2,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,8,1,3,7,5,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,4,6,3,1,5,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,8,1,2,3,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,5,7,2,3,8,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,8,2,3,7,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,5,1,7,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,4,7,8,5,6,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,7,6,8,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,7,5,8,6,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[4,1,8,6,7,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,7,6,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[5,8,4,7,6,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,3,1,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,8,7,1,3,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,3,8,7,2,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,1,2,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,1,2,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,8,5,2,4,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,8,5,3,1,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,5,1,2,6,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,7,1,2,8,6,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,5,2,7,8,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,2,8,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,2,7,5,3,8,6,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,1,2,7,3,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,7,2,4,8,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,4,1,7,8,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,7,5,1,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,4,1,5,8,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,7,1,5,8,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,2,8,1,3,7,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,7,3,6,8,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,8,3,6,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,1,3,6,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,7,3,1,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[4,6,8,3,1,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,8,2,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,3,8,1,2,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,7,4,1,6,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,8,5,3,1,7,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,4,5,1,2,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,3,2,7,8,5,1,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,5,7,8,3,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,5,8,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,4,6,7,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,8,7,3,4,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,3,4,1,2,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,4,8,7,2,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,8,7,6,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,6,5,1,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,4,7,5,1,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,5,8,7,6,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,7,6,1,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,5,8,7,1,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,5,8,1,7,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,4,8,7,1,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,2,4,6,1,5,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,4,6,2,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,8,7,2,6,3,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[2,5,8,3,7,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,3,8,2,7,6,4,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,8,3,2,7,5,4,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[2,8,3,1,7,5,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,3,8,1,7,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,2,1,7,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,6,1,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,2,7,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,3,2,7,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,8,7,2,1,4,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[8,5,6,1,2,4,3,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[5,8,7,1,2,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,8,1,2,7,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,3,7,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,3,7,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,1,8,7,2,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,3,1,2,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,8,1,2,7,5,4,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,1,8,2,7,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,8,1,3,7,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,3,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[1,8,2,3,7,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,6,2,5,8,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,4,2,6,5,8,3,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,5,4,2,6,8,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,4,2,5,8,3,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,5,2,6,4,8,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,2,6,3,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,1,6,2,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,6,4,2,8,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,6,5,2,7,3,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,2,8,6,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,7,1,8,2,5,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[7,1,8,3,2,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,8,7,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,1,5,4,2,7,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,3,1,7,2,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,2,6,3,8,7,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,6,2,7,3,8,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,1,8,3,2,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,2,1,8,6,3,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,4,2,8,7,6,3,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,2,8,6,3,7,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,1,7,3,6,5,8,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[6,1,4,8,3,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,1,8,6,3,4,5,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,4,5,8,3,7,2,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[5,8,7,6,2,4,1,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,4,8,6,3,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,4,1,8,2,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,8,1,6,2,4,3,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,3,8,5,1,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,8,6,1,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,6,7,1,3,5,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,3,8,5,6,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,4,5,6,3,1,8,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,6,4,1,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,1,3,8,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,7,1,3,6,5,8,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[7,8,1,6,3,4,2,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,4,1,8,3,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,8,6,4,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,6,7,4,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,8,6,1,7,3,4,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,3,8,1,6,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,8,1,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,6,1,4,3,5,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,5,6,3,4,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,8,6,2,4,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,1,6,5,2,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,1,8,2,6,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,8,2,4,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,3,8,2,7,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,8,7,1,3,5,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,7,6,1,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,6,7,1,4,5,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[7,5,8,3,1,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,8,4,2,7,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[6,7,1,2,4,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,7,2,3,6,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[8,7,1,2,3,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,1,3,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,2,3,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,7,4,5,1,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,7,6,8,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,4,5,7,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,6,7,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,7,1,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,2,7,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,1,7,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,1,8,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,8,6,2,3,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,5,6,2,8,4,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[2,5,6,3,4,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,6,8,5,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[2,4,1,6,8,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,7,6,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,2,6,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,1,8,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,2,1,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,2,8,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,3,4,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,3,4,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,7,2,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,5,7,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,2,3,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[5,2,7,4,8,1,6,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[5,7,2,3,8,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,7,2,3,8,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,2,1,3,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,6,1,3,2,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,3,2,8,1,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,1,7,4,8,2,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,8,3,1,4,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[6,1,7,8,4,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,7,8,4,3,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,7,1,8,3,2,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,7,2,8,1,3,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,7,2,8,3,5,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,2,7,8,4,5,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,7,8,1,4,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,7,1,8,4,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,1,7,8,5,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,1,2,7,8,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,7,1,2,8,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,1,7,2,8,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,6,7,8,3,5,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,7,1,8,2,5,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,7,8,2,4,1,3,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,7,8,2,4,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,7,8,5,3,4,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[6,1,7,8,5,4,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,3,8,5,2,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,8,4,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,5,8,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,4,8,7,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,4,8,5,7,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,1,4,8,6,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,7,1,8,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,8,5,6,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,1,2,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,6,4,2,8,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,5,2,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,7,4,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,4,6,7,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,8,4,3,7,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,8,6,7,1,4,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[5,3,8,7,4,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,8,7,3,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,4,2,7,3,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,4,1,5,3,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,7,4,3,5,8,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,5,4,3,1,8,2,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,5,4,1,8,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,5,2,8,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,4,6,3,1,8,2,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,8,2,6,4,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,3,2,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,8,6,3,7,5,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,7,5,2,6,4,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[2,8,1,7,3,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,8,5,7,3,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,1,7,6,8,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,2,8,5,3,4,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[7,1,2,8,3,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,1,5,8,3,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,3,1,6,8,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,7,5,6,8,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[6,5,4,8,2,7,3,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[5,4,8,1,7,2,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[7,2,8,6,4,3,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,7,6,5,2,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,3,8,7,4,6,2,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[5,8,6,7,3,4,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[3,8,6,7,4,5,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[2,8,6,7,4,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,6,7,4,5,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,5,7,4,6,2,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[6,8,1,7,4,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,7,4,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,8,5,6,1,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,5,6,2,7,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,8,1,7,3,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,2,6,3,5,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,8,2,7,3,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,7,3,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,8,4,7,3,6,2,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[2,8,4,7,3,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,5,7,2,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,6,7,2,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,7,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,7,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,7,1,4,2,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,8,6,7,1,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,8,6,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,8,4,6,1,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,3,6,1,5,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,8,4,7,1,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,2,6,1,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,1,6,2,8,4,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[5,8,1,6,2,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,2,5,1,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,2,5,1,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,6,1,7,3,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,8,2,6,1,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,3,6,2,8,4,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[2,7,3,6,1,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,4,8,3,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,5,2,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,6,3,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,8,3,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,4,6,3,7,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[5,6,4,8,3,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,3,7,2,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,4,6,2,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,5,2,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,8,2,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,3,8,2,4,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,3,5,2,8,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,3,6,2,5,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,8,3,5,2,4,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,3,6,2,7,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,3,8,2,7,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,7,3,6,2,8,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,3,5,2,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,5,8,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,7,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,8,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,3,8,2,4,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,4,7,2,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,3,7,2,4,1,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,7,3,8,2,5,1,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,3,5,2,7,1,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,7,5,2,1,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,8,5,2,1,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[4,6,5,2,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,6,4,2,3,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,4,5,3,1,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,4,6,1,3,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,6,8,1,7,3,2,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,7,8,1,6,3,5,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[7,4,8,1,6,5,3,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[5,4,8,1,3,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>6
[8,4,5,3,1,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>6
[5,4,7,1,3,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[6,4,8,1,7,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,3,2,8,7,4,1,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[2,1,6,8,7,4,3,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,7,8,6,4,5,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[7,3,2,8,6,4,5,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,8,4,2,3,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[7,8,4,2,6,5,3,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,8,6,2,7,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[3,6,1,8,7,4,2,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,7,1,8,6,4,5,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,8,1,6,7,5,2,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,7,1,6,8,2,5,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[4,7,6,2,8,1,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,7,4,2,8,1,5,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[2,1,8,6,7,5,3,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[8,3,2,6,7,5,1,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,6,4,3,7,5,1,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,6,4,3,8,1,5,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,3,2,6,8,1,5,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[2,1,7,6,8,3,5,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[6,1,8,3,4,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,5,2,1,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,5,2,8,4,1,3,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,3,8,5,2,1,4,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[8,3,1,5,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,8,2,6,1,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,2,3,8,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,1,2,3,6,5,8,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,7,2,6,3,4,1,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[4,8,1,6,3,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,8,6,4,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,6,7,4,3,2,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[3,5,8,7,2,4,1,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,6,1,3,7,2,4,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[2,8,1,3,6,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,8,2,3,4,1,5,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[1,6,2,4,8,5,3,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[7,2,3,1,8,5,6,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,2,5,1,7,3,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,3,6,4,7,5,8,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[6,2,1,3,7,8,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,6,4,2,3,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,4,2,6,8,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[8,2,5,4,6,7,1,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,2,7,4,1,3,5,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[1,7,4,2,3,5,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[6,8,4,1,3,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,1,2,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,6,7,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,3,6,1,2,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,3,2,7,8,4,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[6,3,4,1,2,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[1,8,3,2,4,5,6,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[8,5,3,2,6,7,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,2,5,6,7,8,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,3,6,7,1,8,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[7,2,3,1,4,5,8,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,3,1,6,5,2,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,7,5,1,8,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,6,2,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,1,2,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[5,7,2,8,1,3,4,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,1,5,8,2,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,8,6,7,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,4,2,7,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[5,3,7,1,8,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,2,1,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,8,2,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,4,2,7,3,8,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,1,7,8,3,4,6,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[4,7,8,5,6,2,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,6,3,7,2,1,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,7,8,4,3,5,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,7,8,4,2,5,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,7,8,3,2,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,3,8,2,1,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,4,8,3,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,4,7,3,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,2,8,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,4,2,7,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,6,5,8,7,2,1,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[2,6,5,7,8,3,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,5,4,2,7,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,2,6,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,3,2,6,1,8,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,3,7,2,1,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,5,4,2,7,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,5,3,2,7,1,8,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,5,4,2,6,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,6,4,8,5,1,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,5,2,3,7,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,2,5,3,8,1,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,1,5,3,8,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,8,3,2,6,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,3,8,5,2,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,7,3,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,3,1,5,7,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,3,4,1,2,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,2,4,1,3,7,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,6,2,1,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,2,1,4,6,3,8,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[3,6,5,1,2,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,2,1,4,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,5,8,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,5,1,8,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,5,8,2,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,6,2,1,7,8,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,5,6,2,7,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,4,6,3,7,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,4,6,8,2,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,2,8,7,5,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,5,6,2,7,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,6,7,2,8,3,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,5,6,8,7,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,8,6,7,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,8,7,2,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,5,6,7,2,1,8,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[2,5,1,6,7,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,6,7,4,8,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,4,8,6,1,7,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,5,6,7,1,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,5,6,7,3,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,8,7,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,8,6,7,4,3,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[8,2,5,3,7,1,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,8,2,4,3,7,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,2,5,6,1,8,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,6,8,2,4,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,1,5,8,2,4,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,2,5,1,8,4,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,1,5,7,8,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,5,6,1,7,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,7,6,1,8,3,4,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,1,5,8,7,3,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,2,5,1,8,7,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,8,6,5,1,7,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[3,7,6,5,1,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,7,8,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,5,1,6,7,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,5,1,7,4,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,1,8,4,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,5,7,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,1,7,3,4,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[3,6,8,5,1,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,5,1,7,8,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,8,5,1,6,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,1,8,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,5,1,6,4,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,4,3,6,7,1,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,5,4,6,8,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,1,7,5,8,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,4,1,7,5,3,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,4,1,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,3,2,6,1,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,3,2,6,7,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,8,2,6,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,2,6,7,8,1,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,3,7,8,2,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,5,7,4,8,1,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,2,5,7,8,1,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,5,2,1,7,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,7,5,3,8,6,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[6,3,2,7,1,4,8,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,3,2,1,4,7,8,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[3,5,2,1,7,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,2,1,7,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[5,8,4,2,1,7,3,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[2,4,1,7,3,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,7,1,4,8,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,5,8,2,1,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,3,7,2,1,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,7,2,8,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,2,1,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,3,2,1,8,4,6,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,8,3,2,1,5,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,8,2,1,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,2,4,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,3,5,1,4,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[8,3,7,5,6,2,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,3,7,2,4,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,5,1,4,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,7,1,5,3,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,7,5,6,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,4,6,1,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,3,7,1,6,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,5,6,1,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[8,1,7,3,4,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,3,6,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,2,6,4,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,2,7,3,6,1,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,3,2,7,4,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,1,8,3,7,4,6,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[8,1,5,2,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,2,7,3,4,1,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,7,2,3,1,6,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,2,3,1,7,4,6,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,5,7,2,6,3,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,5,7,2,6,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,7,5,6,1,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,6,7,2,5,1,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,1,7,5,6,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,2,6,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,7,1,6,4,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,2,7,4,6,1,5,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,4,7,2,6,1,5,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,4,7,1,6,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,4,6,2,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,1,8,5,7,3,6,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[8,5,7,1,6,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,3,6,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,3,6,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,5,8,1,3,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,5,8,6,3,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,5,8,7,3,1,2,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[1,5,8,7,3,6,2,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,7,2,8,4,6,5,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[6,7,2,8,4,1,5,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[3,6,2,8,4,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,1,8,4,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,4,6,1,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,1,8,4,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,6,8,4,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,6,8,4,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,7,8,4,1,5,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[1,3,7,8,4,6,5,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[3,6,7,8,4,2,5,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,6,1,8,4,2,5,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,6,8,7,3,2,1,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[2,7,6,8,4,3,5,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,5,8,6,3,4,2,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,4,8,3,6,5,1,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,8,1,5,3,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,4,2,8,5,3,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,8,4,2,5,3,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[8,1,5,3,2,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,1,5,2,4,6,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[1,5,2,8,4,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,2,7,8,4,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,2,7,4,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[8,3,5,1,4,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,5,4,7,3,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[1,2,8,5,7,4,3,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,4,8,7,5,3,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,1,2,8,7,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,2,8,4,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,7,1,4,2,8,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,7,8,1,5,2,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,2,8,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,6,1,3,2,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,7,5,8,3,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,5,8,7,3,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[2,8,1,7,3,5,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,6,1,3,2,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,1,7,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,8,7,4,5,3,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[8,3,7,1,5,2,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,6,1,4,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,4,2,7,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,6,2,7,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,7,6,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,2,8,3,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,2,7,3,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,1,8,3,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,7,3,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[5,6,2,7,3,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,3,8,4,7,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,2,8,4,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,2,8,3,7,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,6,2,8,3,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,8,3,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,3,5,2,4,1,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,8,3,5,1,7,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,5,7,6,2,3,8,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[2,5,7,3,6,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,3,7,6,1,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,2,3,5,4,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,2,7,3,6,4,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,4,7,6,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,7,6,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,3,7,6,8,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,1,3,5,8,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,4,7,6,1,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[2,8,4,7,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,4,7,2,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,1,7,6,8,5,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[1,4,2,7,8,6,5,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[8,4,2,7,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,7,2,1,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,5,7,2,8,6,4,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[2,5,7,1,8,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,7,4,5,8,1,3,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,4,7,6,8,1,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,4,8,7,6,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,8,2,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,1,2,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,1,7,2,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,7,1,8,4,5,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[2,6,5,1,8,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,4,5,7,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,4,6,1,8,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,1,8,7,2,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,5,6,1,8,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,6,1,2,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,3,5,7,2,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,2,5,7,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,1,4,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,2,1,4,3,8,6,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[7,3,1,4,2,8,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,4,1,2,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,4,1,3,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,7,1,4,3,8,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,6,7,2,3,5,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,7,1,2,3,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,1,2,4,8,6,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[2,7,1,3,4,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,1,4,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,5,2,1,8,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,4,2,3,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[7,4,1,2,3,8,6,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,4,2,1,3,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,1,2,4,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,3,4,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[7,2,1,3,4,8,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,4,6,3,5,8,1,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,2,6,5,8,1,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,4,1,6,5,8,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,4,3,8,7,5,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[2,4,6,8,1,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,1,6,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,1,4,6,8,5,3,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,1,6,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,8,1,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,8,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,3,1,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,3,8,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,3,8,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,3,6,8,5,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,4,6,8,3,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,6,2,8,5,7,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,4,2,8,7,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,1,8,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,4,8,7,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,6,4,7,3,8,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,1,6,3,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,3,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,1,7,3,4,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,7,3,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,8,6,3,7,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,3,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,1,8,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,3,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[5,1,2,4,8,3,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,1,3,4,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,1,3,7,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,3,2,8,4,6,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[6,4,2,1,5,8,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,8,3,6,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,4,8,7,1,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,1,4,8,7,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,2,1,5,4,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,2,1,6,4,5,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,4,2,5,1,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,2,1,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,7,2,1,4,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,1,4,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,1,5,7,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,7,2,1,4,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,2,8,6,1,7,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,8,1,6,7,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,8,2,1,7,4,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,2,8,1,7,4,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,7,1,6,4,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,7,6,1,3,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,8,7,1,3,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,7,8,3,4,1,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[3,7,2,1,8,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,8,7,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,6,7,1,8,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,6,1,7,8,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,3,6,4,8,7,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,8,5,4,2,6,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[6,3,7,5,4,8,1,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[3,6,8,5,4,7,1,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[1,8,2,5,7,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,8,1,2,4,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,3,1,4,2,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,3,8,5,4,1,6,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,8,1,5,2,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,5,1,6,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,1,5,7,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,5,8,6,4,3,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,4,6,1,5,8,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,4,1,5,3,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,6,8,7,4,3,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,6,1,7,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,1,7,6,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,8,7,6,4,3,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,1,7,5,6,3,8,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[3,1,6,7,5,8,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,1,6,5,3,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,6,1,3,7,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,8,1,4,6,3,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,6,4,7,8,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,8,5,7,4,3,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,5,7,1,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,5,7,8,4,3,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,8,5,4,1,3,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,5,6,4,1,8,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,6,4,5,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[1,6,5,8,4,3,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,6,5,1,4,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,1,2,5,4,7,8,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[1,6,7,4,8,3,5,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,4,6,3,7,5,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,6,7,2,5,8,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,4,1,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,3,2,7,1,8,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,6,3,2,7,1,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[2,5,4,1,6,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,7,5,8,2,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,6,3,2,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,6,4,3,2,1,8,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[3,6,7,2,8,1,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,3,5,2,1,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,4,1,7,8,3,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,7,2,8,6,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,3,2,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,5,2,1,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,2,8,6,1,4,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,4,1,6,2,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,7,1,6,2,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,5,1,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,5,1,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,7,6,1,4,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,1,8,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,7,6,3,8,4,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,7,3,6,2,8,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,7,6,4,1,8,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,3,5,1,8,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,3,5,1,8,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,8,7,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,4,8,5,7,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,3,5,4,8,1,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,4,3,5,8,7,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,1,4,5,8,7,3,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,3,4,8,7,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,6,8,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,5,8,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,5,8,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,7,8,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,7,8,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,3,4,8,7,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,8,1,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[7,4,3,5,8,2,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,5,4,8,2,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,3,4,8,5,1,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,4,8,1,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,4,8,1,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,8,2,6,1,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,6,7,2,5,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,5,7,2,6,3,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[5,8,1,7,2,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,8,6,7,1,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,5,7,1,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,8,2,7,4,6,3,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[2,8,1,7,4,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,2,7,1,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,2,7,4,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,5,2,8,6,4,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,4,8,6,1,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[1,6,7,4,2,8,5,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,6,7,3,8,5,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,3,8,6,2,5,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,4,2,8,6,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,8,4,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,8,4,1,5,3,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,3,1,4,8,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,6,3,7,8,4,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,4,7,3,6,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,3,7,8,1,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,1,4,8,2,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,8,2,3,6,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,8,2,3,5,7,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,4,7,8,3,6,2,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[5,3,8,2,4,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,8,1,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,8,1,4,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,3,6,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,8,4,1,2,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[3,5,7,1,8,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,2,5,7,1,8,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,4,5,8,2,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,6,8,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,7,2,5,4,8,6,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,4,2,5,7,3,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[3,1,6,5,4,8,2,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,1,6,5,8,3,2,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[5,1,6,8,4,3,2,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,5,4,7,6,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[5,7,1,8,4,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[2,7,1,5,4,3,8,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,5,6,7,1,3,2,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,4,6,1,7,3,2,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,7,6,1,4,3,8,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,7,8,5,1,3,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,7,6,8,2,3,4,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,7,6,2,8,3,5,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,3,6,2,4,7,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,7,6,3,2,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[5,7,6,8,4,1,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,7,6,5,8,1,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[3,7,6,5,1,8,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[3,6,4,8,7,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,3,8,7,1,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[4,6,8,5,3,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,5,3,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,1,3,4,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,1,7,8,2,4,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,1,3,2,7,5,8,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,4,1,7,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,8,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,7,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,6,4,7,8,1,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[2,8,5,7,4,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,7,1,2,6,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[7,5,8,4,1,2,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,5,7,8,4,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,7,3,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,6,3,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,8,4,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,6,8,4,2,3,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,1,4,2,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,8,6,5,3,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,5,1,2,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,7,5,8,2,1,4,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[1,7,5,8,2,6,4,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,3,8,5,7,6,2,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[6,3,8,5,7,1,2,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[8,3,1,5,6,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,8,5,2,1,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,8,2,5,6,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,1,5,6,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,2,5,6,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,8,2,5,7,6,3,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[8,6,1,5,7,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,6,5,8,1,2,4,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,1,7,6,8,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[8,1,6,5,7,3,2,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[3,5,8,6,2,7,1,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,1,4,2,6,5,8,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[5,4,7,3,6,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,5,8,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,6,4,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,8,6,4,7,3,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,6,8,1,3,2,4,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[4,2,8,3,1,7,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,3,7,4,8,2,5,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[2,4,7,3,6,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,6,3,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,6,8,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,2,1,4,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,6,4,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,8,2,7,4,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[6,8,1,7,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,6,1,7,4,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,1,7,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,6,4,8,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,1,7,8,5,3,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,5,7,3,4,8,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[1,6,4,7,5,8,2,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[4,7,5,6,3,2,8,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[6,1,7,5,3,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,6,2,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,4,2,7,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,5,2,4,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,1,6,2,4,5,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,4,7,1,8,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,4,3,8,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,4,2,1,7,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,4,2,8,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,7,6,8,4,5,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[2,4,8,6,7,3,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,3,5,8,4,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,3,8,6,7,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,4,2,8,7,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,5,8,7,3,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,1,8,5,7,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,1,5,8,7,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,1,8,7,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,6,7,4,3,2,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,8,7,5,6,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,1,4,3,8,5,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,2,4,1,3,8,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,6,4,1,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,4,2,1,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[8,4,2,1,3,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,2,1,6,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,4,3,8,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,4,1,3,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,2,1,4,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,4,6,3,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,6,4,8,1,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,1,6,3,8,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,1,8,6,3,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,2,1,6,4,3,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,4,1,8,3,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,1,4,8,6,3,5,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,4,8,6,1,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,8,6,1,3,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,6,8,2,1,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,4,1,3,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,6,8,1,4,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,8,6,4,3,5,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[4,8,6,2,1,3,5,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,8,4,2,1,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,2,8,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,7,2,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,3,8,2,6,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,8,1,7,2,6,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,1,8,3,4,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,4,8,1,3,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,7,1,8,5,6,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,3,6,5,8,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,5,4,7,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,4,6,1,3,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,6,3,4,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,6,3,7,2,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,3,5,2,6,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,2,4,1,7,3,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,7,6,8,1,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,7,1,8,5,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,4,1,8,5,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,6,8,2,4,1,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[2,1,7,3,8,5,6,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[7,1,3,2,8,5,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,1,8,5,6,2,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[7,1,8,2,6,4,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,4,7,2,6,3,8,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,5,8,1,7,2,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,1,7,4,8,3,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,4,6,3,8,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,4,1,3,8,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,8,3,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,8,4,3,2,6,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,5,7,3,8,4,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,4,7,8,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,5,7,3,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[3,8,4,7,6,5,2,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[1,6,8,5,3,7,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,4,8,1,7,3,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,6,4,1,3,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,4,6,3,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,4,3,7,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,2,4,8,3,7,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,6,3,4,1,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,6,7,3,1,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,8,3,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,1,3,6,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,1,7,3,5,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,8,2,6,3,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,6,3,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,6,1,2,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,2,7,4,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[1,8,5,2,6,7,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,2,1,8,6,7,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,8,1,6,4,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,8,6,1,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,2,1,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[8,5,2,7,4,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,5,7,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,6,3,8,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[2,8,4,6,3,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,7,3,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,3,7,1,4,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,1,8,5,7,4,3,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[6,5,1,4,7,8,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,4,7,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,3,7,1,2,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,8,6,4,1,7,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,8,6,7,4,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,8,2,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,6,2,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,2,8,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,6,4,2,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[2,6,7,5,4,8,1,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,6,2,1,8,7,5,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,4,6,1,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,2,7,1,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,2,7,6,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,7,6,5,1,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,8,7,2,6,5,1,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,8,7,2,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,2,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,7,3,2,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,7,3,6,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,3,6,1,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[4,8,7,3,6,5,2,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[5,8,7,6,3,4,2,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,8,7,6,3,1,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[5,8,7,6,3,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,6,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,6,4,2,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,8,7,6,4,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,6,4,3,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,2,1,5,7,4,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,4,6,7,3,8,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,5,6,7,8,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[5,2,1,6,7,8,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,6,7,1,8,3,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,4,5,7,2,1,8,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,4,6,7,2,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,2,7,1,8,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[4,3,6,2,7,8,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[4,2,1,5,7,3,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,5,6,7,8,4,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,4,6,7,1,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,4,8,3,7,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,1,8,2,3,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,5,2,3,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[5,1,2,3,8,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,2,8,1,3,5,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,1,4,2,8,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,6,4,2,8,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,5,1,3,8,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,8,3,7,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,3,7,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,2,3,8,4,7,1,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[4,8,2,3,7,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,2,3,7,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,2,3,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[1,4,8,3,7,2,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,3,8,1,5,2,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,8,1,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,5,1,2,8,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,6,4,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,1,6,2,8,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,8,2,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[4,1,2,5,8,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[1,3,5,2,8,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,5,1,2,8,7,4,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,6,2,8,7,5,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,3,1,5,8,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,2,8,7,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,7,2,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,8,1,7,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,4,8,7,2,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,4,8,1,2,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[3,4,8,2,7,1,6,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[2,3,5,1,8,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[7,8,2,1,5,3,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,7,5,4,1,8,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[7,8,1,5,4,2,6,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[7,8,2,5,4,1,3,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[5,3,6,2,4,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,3,7,5,8,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,2,6,7,4,8,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,7,6,5,3,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,6,5,2,4,8,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,7,6,5,3,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,7,1,4,8,3,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,7,6,4,8,5,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,7,6,5,2,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,7,6,5,2,8,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,6,5,3,2,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,2,6,8,3,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,7,6,3,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,1,2,5,3,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,7,6,5,2,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,7,6,5,8,2,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,7,6,5,1,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,7,6,5,1,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,2,1,7,3,5,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,1,5,4,2,8,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,3,7,2,1,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,5,3,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,4,1,3,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,7,6,2,4,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,2,7,5,3,8,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,1,8,5,3,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,2,6,1,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,1,7,2,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,5,4,8,3,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,5,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,8,4,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,3,8,7,4,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,2,8,1,7,3,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,7,8,5,2,4,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,8,7,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,6,1,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,7,6,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,6,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,3,6,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,6,2,5,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,6,5,1,2,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,8,5,7,2,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,8,4,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,6,4,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,1,5,8,7,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,5,8,7,3,4,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,1,8,4,7,2,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,8,7,5,2,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,1,6,3,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,2,3,7,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,3,8,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,1,2,3,5,8,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,1,4,3,7,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,3,2,4,1,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,1,7,3,4,8,6,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[7,1,2,3,6,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,3,8,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,8,3,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,1,4,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,1,4,2,8,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,6,2,8,3,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,2,7,3,1,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,1,7,5,4,3,2,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[6,1,2,3,8,7,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[5,1,2,3,7,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,3,8,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[8,6,3,2,4,7,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,2,4,3,1,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,1,2,3,5,7,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,1,2,3,6,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,3,6,8,4,7,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,4,8,5,7,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,1,4,2,6,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,8,1,4,7,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,6,2,3,8,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,8,2,7,6,3,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[5,1,8,2,7,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,2,7,6,3,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,1,6,3,8,5,4,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,5,3,8,7,4,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,2,5,3,8,7,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[3,5,8,7,1,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,8,7,6,3,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,1,8,7,6,5,3,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[5,6,1,2,4,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,5,8,1,7,2,3,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,5,1,8,7,4,6,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[4,3,6,1,2,8,5,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,5,8,3,1,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,7,6,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,8,7,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,8,7,6,5,1,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[1,3,4,8,7,6,2,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[3,2,5,8,7,4,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,5,8,3,1,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>6
[6,8,1,3,7,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,1,3,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,2,6,7,3,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,1,2,6,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,5,7,1,3,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,8,1,6,7,3,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,8,1,6,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,5,7,4,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,4,7,1,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,2,3,5,7,1,6,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,7,1,2,4,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,1,4,6,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,4,7,1,3,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,3,5,7,1,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,1,3,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,4,7,1,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,4,7,1,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[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},{2,3,4,5,6,7,8}}=>7
[5,6,2,8,1,7,4,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[1,8,4,5,7,2,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,3,5,7,1,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,5,7,3,1,6,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[8,4,2,5,7,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,7,2,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,3,7,2,4,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,8,4,5,7,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,5,2,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,2,3,4,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,2,8,5,3,7,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,8,4,3,7,5,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,3,4,8,2,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,1,8,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,4,5,2,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,4,2,8,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,5,3,2,8,7,1,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,3,2,1,7,8,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,3,2,7,8,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,1,6,3,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,4,2,7,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,4,3,7,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,7,4,2,6,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,3,2,6,4,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,7,5,6,2,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,5,6,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,7,5,6,1,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,4,1,7,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,4,6,2,1,8,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,3,1,6,8,7,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,3,5,1,8,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,8,5,1,7,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,1,8,6,7,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,3,8,6,7,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,3,2,6,7,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,3,8,7,1,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,3,7,8,6,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,7,8,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,5,7,6,2,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[5,4,1,7,6,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,5,8,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,5,1,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,6,4,3,1,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,7,5,1,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,7,5,4,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,1,2,4,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,2,4,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,1,2,6,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,1,3,6,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,1,5,3,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,1,2,5,7,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,1,2,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,1,4,2,7,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,8,1,2,4,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,7,8,1,3,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,7,6,3,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[6,1,2,8,7,5,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,1,2,4,8,7,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,7,6,4,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,4,6,8,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,1,2,7,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,1,3,8,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,5,3,2,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,5,2,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,3,1,5,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,1,7,5,3,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,1,2,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,1,7,2,6,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,1,2,8,6,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,8,4,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,2,7,3,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,5,3,1,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,3,1,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,5,3,6,1,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,5,6,3,4,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,6,3,1,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,3,6,1,2,8,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,3,1,6,4,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,3,6,4,1,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,3,8,1,4,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,3,1,8,2,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,3,1,8,4,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,3,8,6,1,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,8,3,6,4,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,5,8,3,6,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,3,1,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,5,3,8,4,1,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,8,6,3,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,6,8,3,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,6,3,8,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,6,3,1,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,3,6,1,8,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,3,1,6,8,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,3,1,4,8,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,5,2,8,4,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[5,4,7,3,2,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,3,2,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[4,7,6,3,8,5,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,8,6,3,7,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,3,2,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[5,3,2,7,4,8,6,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,7,4,3,2,8,6,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[4,7,5,3,2,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,3,8,5,2,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,3,2,6,8,5,4,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,5,7,6,4,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,4,6,3,7,5,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,4,6,3,8,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,2,6,8,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,2,8,6,5,4,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,6,2,8,7,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,3,7,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,3,6,5,2,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[6,8,5,7,4,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,3,7,5,2,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,3,2,8,7,5,4,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,6,8,3,5,7,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,1,2,4,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,3,6,8,4,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,5,8,2,4,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[5,4,8,3,2,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,2,7,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,3,2,1,8,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,1,7,3,2,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,7,8,2,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,5,1,2,7,8,6,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[7,5,1,4,8,2,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,4,7,3,8,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,4,7,6,3,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[5,3,7,6,4,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,8,3,6,2,7,5,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[6,4,8,7,5,3,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,7,6,2,8,4,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,1,3,2,6,8,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,5,3,2,7,4,8,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[6,3,2,1,8,5,4,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[2,8,5,3,1,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,7,1,8,2,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,7,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,2,1,8,4,5,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[7,1,8,2,4,5,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,3,7,6,2,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,5,2,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,3,6,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,6,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,1,7,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,1,8,6,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,6,4,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,7,2,4,3,8,6,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,8,7,6,5,2,4,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[8,1,7,3,2,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,6,5,3,2,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,1,7,4,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,3,7,2,5,8,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[7,4,8,3,1,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,8,7,2,5,4,6,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,8,5,3,7,2,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,3,1,8,7,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,8,6,3,5,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,4,6,8,7,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[1,6,2,4,8,7,5,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[8,4,1,6,7,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,2,8,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,7,2,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,6,2,4,1,8,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,3,8,2,1,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,3,5,2,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,4,3,1,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,8,7,2,1,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,7,1,5,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,6,8,2,1,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,6,1,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[8,6,1,7,3,5,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[1,8,2,4,6,7,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[2,1,5,8,6,4,3,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[1,2,5,7,8,4,3,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[7,1,8,6,3,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,7,6,3,5,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,7,4,6,3,2,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[7,1,5,8,3,4,6,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,1,4,6,5,8,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,5,4,6,2,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,5,1,7,4,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,5,1,4,7,8,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,2,4,7,8,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,6,2,4,8,7,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,8,7,2,3,1,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[6,5,7,8,2,4,1,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,6,8,1,3,5,2,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,3,8,1,2,7,5,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,8,7,1,5,4,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,8,1,2,3,6,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[7,6,5,1,3,8,2,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,6,5,1,3,4,8,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[8,4,5,3,7,2,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,3,8,4,1,5,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,2,8,3,6,1,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,8,5,7,2,1,3,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,3,5,2,1,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,6,5,4,2,8,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,6,5,8,2,4,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,8,2,4,3,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,6,2,4,3,7,8,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,6,5,7,2,4,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,6,7,2,4,3,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,7,8,3,2,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,4,2,8,6,5,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,6,7,5,2,3,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,5,2,8,4,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,4,6,2,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,8,5,2,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,6,4,2,3,7,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,4,2,3,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,6,7,4,2,3,8,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,6,4,2,3,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,4,2,3,8,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[7,3,5,6,1,4,8,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[1,6,7,4,3,5,8,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[7,6,1,4,3,5,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,4,7,6,5,8,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[6,1,7,4,3,5,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,6,4,2,7,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,4,1,3,7,2,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,4,1,3,8,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,6,4,2,8,5,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[6,8,1,4,2,7,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,8,6,4,2,7,5,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[6,8,5,7,3,2,1,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[3,7,8,4,6,2,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,7,4,6,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[1,4,7,3,8,2,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,6,8,3,2,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,7,5,4,8,2,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,7,3,8,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,6,8,4,1,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,7,4,8,5,2,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,4,8,3,6,2,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,8,6,3,2,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,5,8,7,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,6,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,8,6,2,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,7,8,6,5,2,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,8,7,3,6,2,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,8,7,5,3,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,8,3,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,8,4,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,4,7,6,8,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,7,4,6,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,5,4,8,6,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,2,7,5,8,3,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,8,4,6,5,7,2,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,8,2,6,5,7,3,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,5,2,7,6,8,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,8,5,6,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,6,8,2,4,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,8,2,1,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,1,2,4,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,5,8,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,5,7,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,6,5,3,7,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,3,7,5,2,6,8,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,4,7,3,2,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,5,3,2,8,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,4,6,8,2,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,7,5,1,8,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,7,4,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,2,4,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,7,1,2,4,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,6,8,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,2,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,3,7,4,1,8,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,6,4,7,5,1,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,7,6,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,1,2,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,8,7,3,5,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,7,4,2,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,4,3,8,2,5,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,1,5,8,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,5,8,7,3,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,1,5,8,7,4,6,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[8,3,5,6,7,4,1,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,4,8,7,3,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,8,3,1,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,2,8,5,6,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,1,8,5,2,7,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,5,2,7,6,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,8,4,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,1,2,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,8,4,2,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,1,4,8,7,3,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,2,8,4,3,5,6,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,7,8,1,3,5,6,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,8,2,7,3,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,7,2,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,1,7,2,5,6,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[8,2,3,7,1,5,6,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[4,3,8,2,7,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,4,2,1,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,8,2,4,3,5,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,3,7,1,5,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,2,7,3,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,3,2,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,6,2,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,2,8,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,1,4,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,2,4,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,2,4,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,1,2,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,6,2,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,5,8,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,8,6,2,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,1,4,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,8,4,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,6,1,7,4,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,4,1,8,6,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,4,1,3,6,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,1,8,3,7,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[2,8,6,3,7,1,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,6,1,2,8,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,4,6,1,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,4,8,7,1,3,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,5,1,6,2,3,8,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,5,1,6,8,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,1,8,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,5,1,4,8,3,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,3,7,1,4,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,4,1,5,3,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,5,3,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,4,1,5,3,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,1,6,4,2,5,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,3,8,1,4,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,8,1,4,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,2,5,4,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,4,1,5,3,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,5,3,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,7,3,8,4,5,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,4,5,1,8,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,7,5,6,2,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,7,5,6,1,8,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,7,5,6,3,8,1,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[3,7,5,8,4,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,3,8,6,7,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,4,7,1,8,2,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,6,1,8,2,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,8,1,6,5,7,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,4,5,1,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,2,3,1,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,6,2,8,1,4,3,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[3,6,4,5,2,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,8,3,6,1,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,8,2,5,3,4,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,8,1,5,3,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,6,4,8,2,7,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,6,4,7,3,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,2,5,3,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,1,5,3,8,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[6,7,5,8,1,4,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,8,6,7,2,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,8,2,3,1,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,2,6,1,4,3,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,8,1,4,3,7,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,5,1,8,2,7,3,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,4,1,8,2,7,5,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,4,1,8,6,7,2,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,4,2,8,1,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,2,5,1,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,2,8,1,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,3,6,1,8,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,6,7,1,4,2,5,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,6,1,7,3,2,5,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,6,1,8,3,5,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,6,1,3,8,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,3,8,5,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[8,7,1,5,2,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,1,5,2,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,3,1,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[8,6,2,3,7,1,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,6,2,7,3,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,7,2,4,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,1,7,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,2,7,1,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,7,2,1,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,8,7,3,1,4,2,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[8,5,7,2,1,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,7,1,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,1,3,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[8,7,4,1,2,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,1,2,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,3,1,7,2,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,7,4,1,2,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,4,7,5,1,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,7,5,1,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,5,1,2,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[4,8,7,3,1,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,3,1,6,2,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,3,1,2,4,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,2,1,7,4,6,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,3,2,7,1,5,6,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,4,7,2,1,5,6,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,7,2,1,6,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,1,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,2,1,3,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,8,6,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,7,8,6,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,3,6,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,4,2,8,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,4,7,6,3,8,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[6,4,7,8,5,3,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,1,3,7,6,2,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,1,6,3,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,7,1,5,2,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,2,6,8,4,7,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,6,1,3,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,8,6,7,3,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,3,8,2,1,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,7,5,8,1,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,4,8,5,7,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,2,8,4,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,7,6,1,4,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,2,1,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,8,7,3,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,2,8,4,3,5,1,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,8,2,7,6,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,2,7,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,1,2,6,7,4,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[5,8,4,3,2,7,1,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,3,8,2,4,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,8,4,2,3,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,2,4,3,1,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,3,1,6,4,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,2,1,3,4,7,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,3,8,2,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,2,3,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,3,8,2,4,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,8,2,3,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,7,8,2,5,3,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,7,8,2,4,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,8,3,6,4,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,8,2,3,6,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,2,7,8,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,8,2,4,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,7,4,5,1,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,4,1,2,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,6,8,5,7,1,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,3,8,1,6,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,1,7,6,8,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,7,6,1,8,2,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,8,6,5,7,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,6,1,7,2,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,8,3,1,6,7,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,3,1,7,8,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,4,6,8,1,7,2,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,8,6,7,5,1,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,8,1,7,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,4,6,3,7,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,6,5,3,7,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,3,2,6,4,1,5,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[1,2,7,6,3,8,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[2,6,3,1,8,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,2,6,3,1,8,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,2,8,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,8,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,7,4,2,3,5,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,5,2,8,7,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,7,3,6,4,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,7,3,4,8,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,5,2,3,8,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,2,1,8,3,7,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,6,5,7,1,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,7,6,1,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,8,6,7,2,3,5,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,8,6,7,1,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,6,1,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,8,5,7,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,6,2,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,7,3,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,7,2,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,7,2,1,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[4,8,6,7,2,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,7,5,2,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,6,7,1,5,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[3,2,4,8,6,1,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,8,6,7,1,3,2,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,8,6,7,2,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,4,7,1,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,8,4,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,1,2,6,7,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,8,6,7,3,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,6,7,3,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,7,3,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[5,8,6,7,4,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,7,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,7,4,1,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[4,8,6,7,3,1,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[4,1,7,5,3,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,6,1,4,2,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,4,7,1,5,8,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,1,3,5,7,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,6,1,4,3,8,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,1,7,3,8,4,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,1,7,6,5,8,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,2,6,7,5,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[4,8,1,6,7,5,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[1,3,8,6,2,7,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,1,3,2,7,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,7,8,6,2,1,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[2,8,4,6,5,1,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,5,8,6,1,2,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,6,8,7,3,1,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,5,4,3,6,8,1,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[3,8,5,4,6,2,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,8,2,1,3,7,5,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[6,4,1,2,7,5,8,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[4,3,7,8,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,8,7,6,3,4,1,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,8,2,6,3,4,1,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[4,1,7,5,8,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,5,8,7,1,3,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[1,5,2,7,4,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,7,1,2,8,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,8,6,1,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,8,1,5,7,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,1,2,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,8,3,1,6,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,7,2,1,8,5,6,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[1,2,7,6,8,3,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[7,4,2,1,6,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,1,8,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,3,1,8,5,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[2,7,4,1,6,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,6,8,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,6,8,5,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[3,1,7,6,8,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,8,1,2,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[1,3,7,6,8,2,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,4,2,6,8,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,4,1,2,6,8,5,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,1,4,2,8,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,6,8,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,2,6,8,5,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,6,8,2,3,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,8,3,1,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[2,7,1,6,8,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,3,1,8,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,1,8,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,2,1,6,8,5,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,5,6,7,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,6,7,1,2,8,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,3,6,7,2,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,2,6,7,3,1,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,4,1,5,8,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,3,5,2,7,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,1,7,2,4,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,3,2,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,4,1,3,5,2,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,2,3,7,8,5,1,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[6,4,3,7,8,5,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,2,7,4,8,1,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,3,2,5,7,8,1,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,7,5,8,3,2,1,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,6,8,5,3,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,6,8,4,3,7,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,5,8,6,3,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,3,7,2,8,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,1,4,2,8,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,2,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[5,4,1,3,7,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,8,6,5,3,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,6,3,2,1,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[5,4,8,7,3,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,8,3,2,1,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[4,7,6,8,3,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,8,5,3,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,6,3,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,2,6,3,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,8,1,6,2,5,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,8,7,1,3,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,1,6,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,8,5,3,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,3,1,8,2,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,7,8,5,2,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,8,4,7,3,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,8,3,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,8,5,2,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,1,4,8,2,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,7,2,8,3,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,8,2,6,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,8,2,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,4,5,8,3,1,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,6,1,5,8,4,2,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[6,1,4,5,8,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,8,1,3,2,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,5,4,3,8,2,1,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[5,8,4,3,7,2,6,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,4,6,3,2,8,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[1,4,3,6,2,7,8,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,7,8,5,3,1,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,7,8,3,6,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,1,3,4,2,8,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,8,2,3,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,2,3,1,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,6,4,7,2,3,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,7,5,2,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,2,7,6,3,8,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,2,1,7,8,4,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[3,7,1,8,4,2,5,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[8,1,3,7,4,2,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,3,7,6,2,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,5,2,7,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,7,2,6,5,4,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,2,7,8,6,1,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,2,1,6,3,7,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,8,3,1,7,5,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,1,6,7,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,6,8,1,5,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,8,1,6,2,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,6,7,5,1,4,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,8,4,3,2,1,6,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,4,7,3,2,1,8,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,4,7,3,2,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,8,3,6,2,1,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,7,8,2,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,3,7,6,2,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,3,7,2,5,1,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,7,2,5,1,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,2,6,5,1,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,4,3,1,7,8,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[5,4,7,3,1,8,6,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,3,7,8,1,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,2,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,8,7,2,1,5,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,3,7,2,1,4,8,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,5,2,7,1,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,2,6,1,8,3,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,8,4,1,6,7,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[5,4,7,1,6,8,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,8,2,1,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,4,1,7,5,8,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,3,1,7,5,4,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,1,6,7,4,8,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[4,3,1,6,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,8,1,7,2,4,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[3,4,5,6,8,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,5,8,2,6,7,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,2,3,5,6,7,1,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,1,2,3,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,3,5,6,2,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,2,1,3,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,7,2,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,4,1,7,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,2,8,3,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,1,8,2,5,3,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,7,6,3,2,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[8,1,7,6,3,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,1,7,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,6,3,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,8,6,5,4,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,7,2,1,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,3,7,5,2,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,3,7,4,6,8,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,8,3,7,6,2,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,2,6,3,8,5,1,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,8,2,4,7,5,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,7,4,3,6,1,8,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[4,2,3,5,8,1,6,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,3,4,5,7,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,2,4,5,6,8,1,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,5,7,8,4,6,2,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,3,5,7,8,6,2,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[3,5,7,8,6,1,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,1,5,6,8,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,5,6,8,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,5,1,6,8,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,1,2,6,8,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,1,8,6,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[1,5,2,7,8,6,3,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[6,1,7,5,2,8,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,6,7,5,1,8,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,1,7,8,6,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,2,4,1,8,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,7,2,5,3,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,5,2,1,8,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,1,7,8,6,4,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,5,7,8,6,3,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,1,7,8,6,3,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[1,6,7,5,3,8,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,7,5,1,4,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,1,5,2,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,3,1,7,5,8,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,6,1,3,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,1,8,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,6,7,3,8,5,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[3,6,5,1,8,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,6,5,1,8,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,4,8,1,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,6,1,5,8,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,6,2,8,4,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[2,3,4,7,8,1,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[8,3,4,6,2,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,2,1,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,6,8,4,1,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,5,3,2,8,4,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,4,5,7,3,8,6,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,2,5,6,8,3,1,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,5,6,1,8,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,8,1,4,2,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,5,6,8,1,3,2,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[1,4,5,6,8,3,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,5,6,3,8,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,3,8,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,7,4,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,7,3,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,3,7,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,7,8,3,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,7,2,4,1,8,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,2,1,4,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,3,1,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,3,1,2,7,8,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,1,3,2,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,3,7,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,2,8,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,2,8,4,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,3,8,4,2,1,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,7,2,1,3,8,6,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,6,2,7,8,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,8,1,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,7,8,2,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,2,1,7,3,8,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,7,1,8,5,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,1,7,8,5,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[2,4,6,5,8,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,2,1,6,8,4,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[1,3,4,6,5,8,2,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[2,8,4,1,7,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,4,2,7,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,3,2,8,7,4,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[5,8,7,4,6,2,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,7,4,8,2,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,5,8,6,7,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,2,5,6,8,7,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,1,8,5,6,7,3,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[4,2,3,7,1,8,6,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,2,1,6,7,3,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,7,8,5,4,1,3,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[3,5,2,7,4,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,7,1,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,4,6,7,1,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,8,2,3,6,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,3,4,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,1,4,2,8,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[4,7,6,5,8,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,1,6,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,4,1,8,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,3,4,7,1,8,6,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[8,6,4,1,3,2,5,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,4,2,1,6,5,3,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,6,4,2,1,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,4,1,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,3,4,8,5,7,2,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[4,7,1,6,5,8,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,8,7,6,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,5,1,4,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[5,4,2,1,6,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,7,3,8,1,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,3,8,2,7,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,7,8,4,2,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,4,8,7,2,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,7,8,3,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,4,3,8,7,2,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,8,7,4,1,2,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[8,4,7,2,1,3,5,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,6,4,2,3,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,7,2,6,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,3,6,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,1,7,6,8,2,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[6,3,5,8,7,2,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[2,5,7,8,4,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,5,1,6,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,7,1,8,5,4,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,7,8,3,5,4,6,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[3,4,6,2,8,5,1,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,4,7,2,1,8,6,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,4,8,2,1,5,6,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,5,6,2,8,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,2,8,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,1,8,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,2,8,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,2,1,4,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,2,8,4,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,1,4,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,7,3,8,6,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,1,6,3,8,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,7,3,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,3,2,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,3,2,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,3,2,1,6,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,6,7,3,2,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,2,3,1,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,6,8,4,3,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,6,2,7,8,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,3,4,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,7,2,3,4,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,3,4,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,2,3,7,8,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,1,2,3,8,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,2,7,8,5,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,1,7,8,4,5,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,1,8,3,4,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,3,4,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,8,4,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,3,4,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,2,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,8,6,1,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,6,8,2,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,2,7,5,3,1,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,6,5,2,4,8,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,8,1,5,3,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,6,5,7,3,2,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,8,5,6,7,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,7,6,5,3,2,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[6,3,7,1,5,8,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,1,8,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,1,6,5,8,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,3,5,4,6,8,2,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[7,5,4,2,6,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,5,1,8,4,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,7,2,1,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,1,5,8,7,4,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[6,4,7,2,3,5,8,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,4,7,8,6,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,3,5,7,8,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,1,8,4,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,4,7,3,8,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,3,2,4,1,8,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,1,3,6,7,8,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,7,6,3,2,5,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,5,3,6,2,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[3,6,2,1,7,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,1,8,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[4,7,2,6,5,8,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,4,7,8,2,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,6,1,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,3,4,1,7,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,1,4,6,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,4,2,5,8,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,4,2,7,8,5,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,2,6,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,5,8,7,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,2,4,8,7,3,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,3,8,2,6,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,6,2,4,8,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,5,3,7,4,8,6,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,3,7,4,2,8,6,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,8,3,5,2,7,4,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,3,7,6,2,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,3,8,7,4,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,6,7,3,4,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,4,7,6,3,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,6,2,1,7,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,2,7,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,7,5,8,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,1,2,7,8,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,7,4,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,6,1,3,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,1,2,4,8,7,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,6,1,5,4,8,3,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[5,2,4,1,7,8,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,1,6,2,8,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,5,6,3,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,5,7,3,6,4,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,3,7,1,6,5,4,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,1,7,2,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,5,7,6,4,1,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[8,3,7,6,5,1,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,6,1,5,2,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,1,3,2,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,4,2,5,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,2,5,1,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,7,6,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,3,7,6,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,5,8,1,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,5,3,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,6,3,7,4,8,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,4,7,5,8,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,1,5,2,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,3,7,1,5,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,8,3,7,1,4,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,1,3,2,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,4,7,1,3,2,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,8,4,7,1,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,8,1,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[3,7,6,8,1,4,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[3,7,6,8,2,5,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,7,6,8,2,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,8,2,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,4,8,2,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,4,8,1,5,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[3,7,2,6,1,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,6,5,8,4,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,2,8,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,3,7,2,1,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,6,4,2,5,1,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,6,2,8,4,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,3,7,4,5,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,4,8,7,2,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,3,8,4,7,2,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,5,7,8,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,3,6,8,2,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,7,3,4,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,7,8,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,2,4,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,8,2,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,3,5,7,2,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,3,5,6,7,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,3,7,2,5,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,4,8,2,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[5,3,8,2,4,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,2,5,1,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,3,5,8,2,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,5,8,7,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,2,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,2,3,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,5,3,8,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,5,3,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,8,5,3,1,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,4,2,7,3,1,8,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,4,5,3,7,1,8,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,7,4,2,3,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,4,2,5,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,3,7,2,4,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,7,3,6,2,5,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,7,3,6,8,2,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,7,3,5,8,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,6,7,1,8,2,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,3,4,6,7,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,3,5,7,8,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,5,7,3,6,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,8,6,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[1,3,8,2,4,6,5,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,7,2,3,6,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,2,5,3,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,8,2,3,6,4,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,3,5,2,8,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,5,8,2,3,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,8,2,3,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,3,6,1,2,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[7,1,5,8,4,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,5,8,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,7,2,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,1,7,5,8,3,4,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[7,1,5,4,8,2,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,1,4,8,5,2,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,1,6,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,7,4,2,3,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,3,7,1,2,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,1,2,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,3,7,5,1,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,6,1,2,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,7,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,5,4,2,3,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[7,6,3,1,2,4,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,1,2,3,8,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,3,1,2,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,6,8,5,7,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,1,2,5,4,8,3,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[7,2,1,5,8,3,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,3,6,8,7,4,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,1,6,8,4,3,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[4,8,1,2,5,7,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,7,4,8,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,4,6,8,1,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,8,7,1,6,4,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[1,5,2,8,7,4,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,4,2,7,8,1,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,5,8,7,1,4,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,1,7,3,5,4,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,3,1,2,5,8,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,6,8,7,2,4,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,8,5,7,1,2,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,8,2,1,5,7,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,5,6,8,4,3,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,7,8,1,4,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,3,6,5,2,8,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,3,8,7,5,2,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,7,4,2,3,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,4,5,2,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,1,3,5,4,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,8,6,1,2,4,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[2,5,6,3,4,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,8,7,3,5,2,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,7,2,6,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,4,8,7,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,2,7,1,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,5,3,6,2,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,4,1,3,8,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,1,8,6,3,4,2,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,8,2,5,3,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,1,4,7,5,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,5,8,4,7,2,3,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[7,1,3,6,2,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,7,4,1,5,3,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,4,8,6,2,3,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[2,7,1,4,6,3,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,5,4,1,3,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,8,6,5,3,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,7,4,3,6,2,8,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[2,6,3,8,4,7,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,1,2,6,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,6,8,3,2,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,5,7,2,8,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,2,8,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,3,6,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,8,2,7,4,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,5,8,2,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,5,6,4,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,1,6,4,7,8,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[2,3,5,1,8,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,6,1,8,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,5,4,8,6,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[1,2,7,6,4,8,5,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,7,3,6,8,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[2,3,6,1,8,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,2,5,8,4,7,3,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,4,6,8,3,2,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,6,7,3,8,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[3,1,5,7,6,8,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,5,4,6,8,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,2,7,5,6,8,4,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,6,2,7,5,8,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,5,7,4,8,2,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,7,6,8,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,5,8,7,2,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,4,5,7,2,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,7,2,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[5,3,6,2,7,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,7,4,5,6,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,7,3,6,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,2,8,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,1,2,8,4,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,4,1,3,8,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,5,2,3,6,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,1,7,3,4,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,1,6,2,3,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,1,6,2,3,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,5,7,2,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,8,2,4,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,8,3,4,5,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,7,8,3,4,5,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,2,8,4,5,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[4,6,3,8,7,1,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,5,8,7,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,3,4,8,7,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,3,7,2,4,5,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[3,8,1,7,2,4,5,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[4,7,8,2,6,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,1,4,5,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[2,8,6,1,3,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,1,3,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,7,6,2,3,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,6,2,3,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,8,7,2,4,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,1,3,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,5,3,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,2,8,3,7,5,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,1,3,2,8,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,6,3,8,7,4,2,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[3,6,8,7,1,2,5,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[3,1,4,6,2,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,4,8,7,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,1,6,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,8,2,1,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,4,2,7,1,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,1,6,3,4,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,8,7,1,4,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,1,2,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,1,4,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,5,3,6,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,2,1,5,8,7,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,5,4,6,1,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,5,7,6,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,4,7,6,2,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,3,6,1,7,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,2,5,1,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,5,2,6,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,3,6,2,7,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,2,4,7,3,8,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[3,1,8,6,2,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,8,2,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,6,1,8,2,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,8,6,1,7,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,8,7,1,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,3,7,5,1,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,6,7,1,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,5,1,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,5,2,1,7,3,8,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,6,7,1,2,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,1,2,8,6,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[7,6,1,2,8,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,3,8,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,7,2,3,8,6,5,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,8,1,2,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,8,1,6,2,7,5,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[5,6,8,1,2,7,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,3,6,4,2,8,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,5,3,8,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,6,4,5,2,8,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,5,4,2,7,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,4,2,1,8,3,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[8,6,2,5,7,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,7,2,5,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[1,7,6,8,3,2,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,2,8,5,3,4,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,7,8,4,3,5,6,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[3,1,5,8,4,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,8,3,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,8,7,3,4,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,4,7,5,3,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,8,3,2,6,4,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,3,8,2,6,4,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[4,6,8,2,7,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,7,2,5,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[1,7,6,5,2,4,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,6,5,3,2,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,8,7,4,6,2,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,1,8,6,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,7,5,3,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,5,4,3,1,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[7,1,8,2,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,5,2,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,2,7,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,8,2,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,8,2,7,3,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,1,7,2,8,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,7,2,5,3,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,1,7,2,4,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,5,2,4,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,2,4,3,8,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,1,6,2,8,3,5,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,1,8,2,6,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,6,4,7,2,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,8,4,2,6,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,4,8,1,5,2,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,8,5,4,7,2,6,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[4,1,7,3,2,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,5,4,8,2,3,6,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,1,6,3,2,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,5,1,7,3,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,8,6,1,5,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,4,1,7,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[5,4,2,7,3,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[3,1,6,2,8,7,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,3,1,7,8,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,1,7,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,2,6,3,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,4,2,1,6,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,3,1,6,7,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,8,1,2,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,8,3,1,2,5,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,7,1,3,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,2,8,3,1,7,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,3,4,7,8,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,5,4,6,8,2,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,7,3,2,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,2,4,7,8,1,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,5,7,6,1,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,5,2,8,6,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,8,3,2,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,5,7,6,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,5,4,2,1,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,5,4,8,1,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,5,8,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,8,4,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,5,2,1,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[7,8,6,3,2,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,3,2,1,6,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,8,1,3,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,7,3,1,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,1,4,6,7,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,4,6,7,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,4,6,7,2,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,6,7,3,2,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[2,5,4,6,7,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,1,7,3,2,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,3,4,1,6,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,3,1,7,2,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,6,1,4,7,3,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,3,2,1,7,4,8,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[1,3,4,5,8,7,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,3,2,5,6,8,1,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[3,7,5,4,6,8,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,4,6,5,8,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,4,5,8,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,4,5,8,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,1,7,6,5,8,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,1,4,6,7,8,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,7,5,2,6,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,5,2,6,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,4,6,5,8,3,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[2,7,4,6,1,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,5,8,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,4,5,8,6,2,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,3,4,5,8,2,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[6,3,4,5,8,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,5,8,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,4,5,8,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,7,4,6,5,8,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,5,4,6,8,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,3,2,5,6,8,4,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,7,4,6,1,8,3,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,3,4,5,8,1,2,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,3,4,5,8,2,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,3,4,5,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,6,1,7,5,2,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,7,8,2,6,1,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,6,4,2,7,5,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,4,7,3,6,5,1,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[6,4,7,1,8,3,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[2,1,8,6,3,5,4,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,6,3,1,4,8,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,1,6,8,3,7,4,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[8,4,3,6,1,7,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,2,4,1,7,5,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,1,7,3,4,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,7,1,8,3,5,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[2,1,8,3,6,4,5,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[2,1,8,3,6,7,4,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[6,1,5,8,2,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,2,7,8,3,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,1,2,8,7,4,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,1,6,2,8,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,6,3,8,5,4,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,7,3,2,8,4,5,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[3,1,7,8,6,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,7,2,4,5,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,3,2,6,4,5,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[3,7,4,8,6,5,1,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,8,7,6,5,1,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,6,3,2,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,7,6,3,1,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,1,4,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,2,4,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,7,1,5,2,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,7,4,1,5,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,3,2,7,1,5,8,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[1,8,2,7,4,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,3,2,6,4,8,1,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,1,6,3,5,8,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,4,5,3,8,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,1,2,7,6,5,8,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,4,1,6,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[5,6,7,3,2,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,8,1,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,8,2,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,5,2,4,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,8,4,2,3,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[6,4,2,8,3,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,8,2,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,5,4,8,3,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,7,4,8,5,3,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,5,4,8,3,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,3,2,5,8,4,6,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[7,4,6,3,8,5,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[2,5,6,8,3,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,7,8,4,1,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,5,6,8,4,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,8,1,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,8,3,1,4,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[2,5,7,8,3,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,3,8,1,5,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,4,7,3,8,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,7,8,3,1,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,6,7,8,1,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,8,1,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,8,1,2,5,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[4,5,7,8,2,1,6,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[5,4,7,2,8,1,6,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,6,7,8,1,5,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,6,7,8,1,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,3,5,4,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,3,4,8,2,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,3,1,6,2,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,8,6,2,1,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,7,5,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,1,6,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,1,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,8,2,3,5,7,4,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[2,6,1,3,5,8,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,5,2,6,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,2,8,1,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,2,7,5,3,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[4,5,6,2,7,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,5,1,2,6,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,2,7,4,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,2,1,7,8,5,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,5,8,3,6,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,3,7,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,2,8,3,7,1,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,3,8,4,1,5,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[7,2,3,5,8,1,4,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[7,8,2,3,6,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,8,1,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,6,4,8,1,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,1,4,2,8,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[2,6,4,5,1,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,8,5,4,1,2,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,5,1,2,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,5,1,2,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,3,1,8,5,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[3,5,8,4,1,2,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,4,2,1,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,4,2,1,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,5,1,4,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,1,2,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,1,8,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,6,5,1,8,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,1,4,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,6,2,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,1,2,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,5,3,1,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,6,4,5,7,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,5,6,8,1,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,4,5,6,1,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,4,1,6,5,7,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,7,1,3,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,8,7,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,1,8,4,5,6,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[6,2,3,8,4,7,5,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[7,1,3,8,6,4,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,3,5,8,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,1,8,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,6,2,5,3,8,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,5,4,2,8,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,3,1,8,7,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,1,4,3,8,5,2,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[4,7,6,2,8,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,8,1,5,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,2,8,7,4,5,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,8,5,7,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,8,5,1,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,1,4,8,7,5,3,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[3,6,8,2,4,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,6,2,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,5,3,6,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,6,4,1,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,6,8,3,5,1,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,6,4,8,3,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,5,6,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,5,6,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,8,5,3,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,2,4,6,7,8,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[4,1,5,3,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,5,3,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,6,3,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,6,4,1,7,8,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[3,5,2,1,6,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,3,1,6,7,8,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[1,5,3,2,6,7,8,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[8,4,6,5,1,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,4,6,1,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,5,6,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,2,1,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,4,7,3,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,2,7,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,4,1,3,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,4,2,3,6,8,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[6,8,4,1,2,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,1,4,6,7,8,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[5,4,1,3,6,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,5,3,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,4,1,3,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,2,5,7,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,8,1,6,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,1,3,8,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,7,1,3,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,5,8,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,6,5,3,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,7,6,1,4,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,6,8,5,1,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,6,2,1,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,7,5,3,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,2,1,8,3,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,1,8,7,6,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,1,7,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,1,8,6,3,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,6,1,7,4,8,2,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[8,4,2,5,7,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,2,7,3,6,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,4,8,7,3,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,3,7,2,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,4,2,7,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,5,8,4,6,3,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,4,8,3,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,3,8,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,4,8,6,3,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,3,6,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,6,3,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,3,1,8,2,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[3,5,2,1,8,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[5,4,2,1,7,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,2,7,1,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,3,7,4,1,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,3,2,4,5,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,1,7,2,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,1,2,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,1,5,4,7,3,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[5,8,2,3,1,4,6,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,4,1,3,6,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[8,5,4,1,3,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,6,7,3,1,5,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,1,8,3,5,7,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,5,7,2,3,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,2,7,1,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,3,1,4,8,5,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,2,4,8,1,5,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,3,1,6,7,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,6,1,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,8,7,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,8,7,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,1,7,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,8,7,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,4,3,1,8,7,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,4,2,1,8,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[6,3,2,1,8,7,5,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,1,4,2,3,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[8,6,1,4,2,3,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,4,2,3,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,2,3,8,1,4,5,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[4,8,2,3,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,3,6,4,1,5,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,4,3,6,2,1,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,8,4,3,6,1,5,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[2,6,3,8,1,4,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,6,4,2,1,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,3,6,4,1,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,6,2,4,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,1,3,6,4,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,8,2,4,1,5,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[1,6,4,2,7,5,8,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,5,4,2,7,8,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[7,1,5,3,6,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,5,2,4,8,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[7,8,1,4,2,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,2,8,5,7,3,6,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,6,3,7,8,5,2,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,6,2,3,7,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,2,6,3,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,5,3,8,4,2,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,4,8,6,2,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,1,8,2,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,4,1,6,3,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,6,4,8,3,5,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[6,4,8,1,3,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,8,1,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,6,1,8,3,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,4,6,3,8,5,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[2,4,1,8,3,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,1,6,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,4,8,6,3,5,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[4,1,8,6,3,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,4,1,3,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,4,1,3,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,4,2,1,3,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,8,6,5,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,1,8,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,5,7,4,6,8,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,4,1,7,2,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[5,4,6,1,7,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,1,8,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,7,2,8,3,1,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,8,3,1,4,2,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,3,1,4,2,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,8,3,1,4,7,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,7,2,8,5,1,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,8,1,4,7,3,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,8,7,3,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,2,7,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,1,4,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,8,1,4,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,3,5,2,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,4,6,3,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,4,3,2,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,6,2,5,4,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,5,4,7,3,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,4,3,2,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,8,6,2,3,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,8,2,6,3,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,6,2,5,8,4,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,5,2,8,1,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[2,8,3,5,1,7,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,8,6,5,1,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,2,8,3,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,5,3,1,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,8,6,4,1,7,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,4,8,6,2,1,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,7,8,6,1,2,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,4,7,8,3,1,2,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,3,4,8,2,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,3,1,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,8,7,3,1,5,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[8,3,4,7,2,5,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[3,4,8,7,1,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,5,1,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,8,7,6,3,2,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,8,6,2,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,1,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,1,7,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,4,7,6,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,3,5,8,4,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,4,5,2,7,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,7,1,6,8,5,4,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[7,3,5,4,6,8,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,7,6,4,8,5,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,8,4,5,2,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[6,4,8,5,3,1,2,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,3,5,8,4,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,4,6,5,8,1,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,4,7,5,1,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,4,7,1,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,4,6,1,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,5,8,4,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,4,8,5,3,2,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[1,8,4,5,2,3,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,4,8,5,3,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,8,4,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,5,4,6,7,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,5,7,4,6,3,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,1,8,4,6,3,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,6,2,4,3,5,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[5,8,2,4,7,3,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,3,2,4,7,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,1,3,4,5,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,1,2,5,4,3,6,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[3,2,8,6,1,5,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,6,1,2,4,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,2,5,4,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,6,2,4,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,7,2,5,1,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,1,8,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,6,1,8,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,3,6,4,7,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,5,4,1,3,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,3,8,5,4,1,2,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,1,2,3,5,7,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,6,1,4,7,3,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,6,3,7,1,4,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,4,7,1,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,1,3,4,2,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[8,5,1,7,6,3,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,5,2,6,7,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,8,4,7,5,1,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,4,7,5,1,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,2,8,3,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,8,3,1,7,2,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,7,2,5,6,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,4,7,2,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,3,6,4,7,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,6,4,7,1,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,1,7,4,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,1,7,3,5,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,3,8,1,6,5,2,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,8,1,7,6,5,3,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,6,4,7,1,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,3,8,7,5,1,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,8,7,1,6,5,2,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,7,4,6,1,5,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[6,5,7,8,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,4,7,8,1,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,1,6,7,4,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,4,7,6,1,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,8,1,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,8,4,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,6,8,1,5,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,5,6,7,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,7,5,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,5,1,4,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,6,8,7,1,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[2,4,6,7,1,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,5,1,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,5,4,2,8,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[5,4,1,3,6,7,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,3,8,1,5,4,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,8,1,5,4,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,2,1,5,8,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,2,1,7,5,3,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[2,3,8,1,5,7,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,1,2,6,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,6,1,4,3,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,6,4,1,7,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,8,7,1,4,3,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,8,5,7,1,4,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,6,5,7,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,8,1,4,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,2,4,1,8,5,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,5,1,6,3,4,8,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,1,5,8,4,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,6,1,4,5,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,1,2,5,8,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,5,6,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,5,1,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,5,6,4,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,5,4,8,3,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,7,6,1,4,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,6,8,1,4,3,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[7,8,6,5,1,4,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[5,3,7,2,8,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,4,5,2,8,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[3,7,4,5,8,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,4,2,6,3,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[8,7,4,5,2,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,8,6,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,3,5,6,7,2,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,8,1,5,6,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,8,4,6,7,3,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[4,3,8,2,1,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,4,2,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,5,6,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,6,8,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,8,2,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,8,6,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,5,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,5,2,1,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,5,6,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,5,6,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,5,6,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,8,5,6,7,3,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,5,3,8,6,7,4,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,3,5,8,1,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,8,6,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,5,6,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,5,6,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,7,1,5,6,2,8,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[4,7,1,5,6,8,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,5,2,6,7,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,6,3,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,6,2,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,2,3,8,1,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,3,7,2,4,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,5,1,8,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,1,4,5,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,7,2,4,3,1,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,6,4,1,7,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,6,3,1,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,7,4,2,3,1,8,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,7,5,3,1,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,4,1,8,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,2,1,6,3,7,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,8,1,7,4,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,1,8,3,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,7,6,8,4,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,7,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,5,4,7,8,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,6,3,5,8,7,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,5,6,1,4,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,7,5,2,1,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,1,6,8,4,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,5,6,4,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,4,6,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,8,4,7,5,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,5,8,6,1,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,6,1,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,8,4,6,2,5,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,3,1,4,6,2,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,2,8,5,7,1,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,1,8,4,7,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,8,7,1,4,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,3,1,5,6,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,7,5,1,6,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,7,8,2,6,4,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,1,5,8,3,2,4,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,7,8,1,3,2,5,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[7,1,4,2,3,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,4,7,5,6,8,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,1,8,5,2,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,5,7,3,4,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,6,1,4,5,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,1,7,8,2,5,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,5,1,2,3,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,5,2,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,8,7,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,1,8,2,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[6,7,3,1,4,8,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,4,1,2,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,2,3,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,2,3,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,7,4,1,2,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,6,2,5,3,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,7,2,3,1,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,8,2,3,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,1,8,3,7,5,4,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[6,1,5,8,2,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[1,3,8,2,5,7,4,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[2,8,7,1,6,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,5,6,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,4,8,6,2,7,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,4,5,7,1,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,6,1,2,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,3,4,8,2,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,4,8,3,2,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[3,4,8,7,5,2,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,2,5,6,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,8,6,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,1,6,8,3,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,6,8,4,1,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,5,6,8,3,4,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,5,8,1,6,3,2,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,5,7,3,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,3,7,8,2,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,3,1,7,8,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,3,7,8,5,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,5,3,6,7,8,4,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[5,2,3,6,7,8,4,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[6,7,1,3,2,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,6,3,7,8,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,7,3,2,1,4,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,1,8,3,4,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,4,1,8,3,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,4,8,6,1,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,4,8,6,2,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[3,5,7,2,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,8,2,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,4,7,1,8,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,7,1,8,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,2,7,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,8,5,4,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,8,2,4,6,3,5,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[3,6,2,7,1,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,5,3,7,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,3,8,6,7,1,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[4,2,3,5,6,8,1,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[5,2,6,4,7,8,3,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,2,6,7,3,8,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,6,2,7,4,5,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[6,4,2,5,8,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,5,3,8,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,8,2,7,4,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,2,4,5,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,6,4,5,8,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,8,7,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,3,6,8,7,5,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[6,4,8,7,2,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,7,5,2,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,6,8,2,7,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,1,4,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[7,5,1,8,3,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,3,5,8,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,3,1,7,8,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,7,4,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,2,5,8,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,4,8,2,7,5,1,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,8,4,7,2,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,1,6,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,6,8,3,4,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,1,2,4,6,7,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,2,3,7,4,8,6,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,7,5,1,8,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,2,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,6,4,2,8,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,7,8,2,1,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,2,8,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,2,5,8,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,2,5,4,8,7,1,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[2,5,6,8,7,3,4,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[3,4,5,1,8,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,8,2,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,5,2,8,7,1,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,2,4,5,8,7,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,6,2,5,4,1,3,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[6,7,5,3,8,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,3,4,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,2,3,7,8,4,5,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[7,5,8,2,6,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,6,5,8,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,5,6,7,3,4,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,7,8,2,1,4,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,4,7,6,2,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,3,8,4,7,2,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,3,7,6,4,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,1,7,8,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,5,8,2,7,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,6,4,7,1,3,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,8,5,7,2,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,6,3,7,1,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,5,7,6,3,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,8,3,1,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,6,7,1,5,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[1,3,7,5,8,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[5,7,8,4,3,1,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,7,4,5,8,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,1,4,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,5,3,8,4,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,3,2,4,7,5,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[3,2,4,7,8,5,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,6,4,3,8,5,1,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[3,8,2,1,6,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,8,3,2,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,2,6,5,3,1,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,4,8,3,7,2,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,3,8,5,1,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,7,6,2,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,7,8,3,1,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,1,6,4,2,8,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,6,1,2,7,5,8,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,7,6,2,5,8,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,2,5,8,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,3,6,7,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[4,7,2,6,3,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,2,4,6,1,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,4,8,7,2,5,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,2,1,3,8,7,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,5,2,8,1,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,7,6,8,1,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,3,7,2,1,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,5,4,8,3,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,6,4,3,2,8,5,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,3,1,4,8,2,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,7,2,4,6,8,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,7,5,1,6,2,8,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[7,5,1,4,3,2,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,4,2,3,7,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[5,4,2,7,3,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,1,2,7,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,6,8,4,3,5,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,5,8,6,2,1,3,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[2,8,1,3,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,8,7,3,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,4,2,6,8,7,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,3,8,4,1,2,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,5,6,3,7,1,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,5,6,8,2,1,4,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,1,6,5,2,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,7,4,2,1,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,7,1,6,5,2,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,3,7,1,6,8,5,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,2,4,8,6,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,4,6,1,8,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,4,3,5,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,7,3,6,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,8,7,6,1,2,4,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,8,7,6,2,1,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[4,2,7,3,6,1,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,8,5,6,2,4,1,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,8,6,5,3,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,7,5,6,3,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,8,7,3,4,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,5,3,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,5,4,3,1,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,1,7,5,6,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,8,7,6,1,3,2,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[3,2,8,6,7,1,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,8,7,2,3,5,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,7,2,5,3,4,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[3,6,8,5,1,2,4,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,1,2,8,3,5,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,5,7,6,8,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,8,4,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,8,4,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,6,8,4,7,3,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,4,7,8,5,2,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,4,8,5,1,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,7,4,8,1,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,1,3,5,4,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,1,4,8,2,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,8,5,2,1,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,6,3,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,3,7,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,2,3,4,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,7,2,4,5,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[8,1,3,6,2,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,7,1,6,3,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,1,5,6,2,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,1,6,2,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,2,1,3,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,1,6,2,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,1,2,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,8,5,2,3,4,1,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[3,4,6,1,7,8,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,4,8,6,7,1,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,6,4,8,7,1,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,6,5,1,4,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,7,6,3,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,2,5,7,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,6,5,1,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,1,5,2,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,6,7,5,1,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,2,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,2,5,1,8,3,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,6,5,2,8,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,6,5,8,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,5,1,6,7,2,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,8,5,1,6,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,2,8,1,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,5,1,8,6,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,8,6,7,4,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[5,2,3,8,6,7,4,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,3,5,4,6,7,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,1,3,8,6,7,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,2,5,8,6,7,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,6,3,2,8,1,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,7,5,8,1,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,8,5,1,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,4,8,7,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,3,8,1,4,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,5,8,2,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,6,8,2,4,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,5,8,2,6,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,8,1,6,7,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,5,8,4,6,7,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,1,8,2,6,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,1,6,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,3,2,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,3,6,4,2,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,3,8,6,4,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,2,7,3,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,3,2,8,7,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,1,4,8,3,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,6,7,2,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,4,8,6,1,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,4,8,3,2,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[5,4,7,1,3,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,4,8,2,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,5,8,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,4,8,5,1,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,6,4,2,1,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,1,5,8,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,6,4,1,8,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,4,8,7,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,1,3,2,8,6,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,7,1,2,5,8,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,4,1,2,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,1,6,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,1,7,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,8,7,6,2,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,4,1,8,7,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,8,7,2,4,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[5,8,4,1,7,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,6,1,7,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,5,8,6,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,7,6,2,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[3,1,8,7,6,5,2,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[1,7,4,5,2,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,6,7,3,4,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,2,8,4,7,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,2,8,5,7,3,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,8,4,7,3,5,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,5,6,2,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,2,8,4,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,6,2,8,4,5,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,8,6,2,4,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,1,6,3,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,3,7,4,8,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,4,8,2,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,3,8,1,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[8,6,4,1,2,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,2,8,6,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,8,1,3,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,4,1,8,2,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,1,3,8,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,5,8,6,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,1,8,2,7,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,3,2,5,8,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,1,4,6,5,2,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,4,2,7,5,3,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,4,7,2,6,8,5,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,4,7,1,6,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,7,5,8,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,7,3,5,1,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,7,1,3,5,2,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,4,7,1,6,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,4,7,1,6,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,1,3,7,2,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[5,4,7,3,6,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,4,1,5,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,7,3,6,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,8,7,4,3,1,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,4,7,3,6,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,2,8,4,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,3,8,4,1,6,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[5,3,2,8,6,4,1,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,7,5,3,6,2,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,5,4,3,8,2,6,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,4,5,3,8,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,5,6,3,8,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,3,7,2,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,5,7,3,4,2,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,5,8,4,3,2,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,8,3,4,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,5,8,3,4,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,3,6,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,3,5,2,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,4,7,3,5,2,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,8,3,7,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,3,7,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,4,7,2,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,4,7,3,8,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,2,4,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,2,4,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,1,5,6,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,1,5,7,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,7,5,8,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,3,1,5,7,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,3,1,6,7,8,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[4,2,1,6,8,7,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,1,6,8,5,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,6,1,8,4,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,6,1,8,7,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,3,1,6,7,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,1,8,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,7,1,8,3,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,1,7,8,3,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,8,6,2,4,5,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,4,3,1,8,2,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,3,8,5,2,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,8,2,4,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,8,2,5,7,4,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,3,7,8,2,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,7,2,6,8,1,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,3,8,2,4,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,2,6,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,2,3,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,2,4,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,3,6,8,2,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,4,6,2,3,8,1,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,6,4,2,1,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,8,6,3,4,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,1,7,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,4,2,1,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,2,1,5,7,8,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,7,8,6,3,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,8,5,7,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,6,2,1,8,4,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,8,5,6,4,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,4,2,1,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,6,4,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,3,8,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,1,3,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,2,1,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,7,6,2,1,4,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,7,6,2,1,3,8,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,5,6,1,8,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,8,4,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,8,3,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,3,2,8,4,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,2,6,3,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,5,3,7,4,2,8,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,7,6,3,4,2,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,6,3,2,5,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[7,8,5,2,1,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,3,4,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,3,2,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,8,7,1,5,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,8,7,2,1,4,6,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[7,8,6,1,3,4,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,6,8,1,3,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,7,1,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,1,3,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,7,1,3,2,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,7,1,2,4,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,1,2,4,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,8,2,7,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,7,3,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,8,1,2,5,3,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,1,7,8,4,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,2,6,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,1,5,8,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,7,3,8,4,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[8,6,5,2,7,3,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,4,8,5,6,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,7,8,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,2,5,6,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[4,8,1,5,2,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,8,4,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,6,4,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,3,8,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,8,7,4,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,5,4,8,6,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,1,6,3,7,5,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,3,6,7,8,5,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,6,3,7,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,1,6,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,3,8,7,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,5,1,8,4,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,8,3,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,6,1,3,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,1,4,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,5,7,4,6,8,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,3,5,4,7,2,8,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,3,5,7,4,8,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,5,7,8,4,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,7,2,5,4,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,3,7,5,2,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,5,2,7,8,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,7,4,8,3,2,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[2,5,7,4,3,8,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,6,3,7,2,8,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,2,4,8,1,5,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,6,7,2,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,6,7,8,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,4,8,3,1,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,3,8,7,2,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,7,3,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,7,2,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,7,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,4,2,8,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,4,8,2,3,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[4,7,6,8,2,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,6,4,7,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,3,7,4,1,6,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,7,4,8,2,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,8,6,2,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,3,1,5,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,6,2,3,1,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,1,7,6,4,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,5,3,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,5,3,1,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,5,1,8,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,5,8,1,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,6,1,5,8,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,6,1,8,5,7,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,8,5,1,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,8,3,1,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,6,8,1,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,1,6,8,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,3,6,8,7,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,6,1,8,7,5,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,3,6,8,1,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,8,7,3,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,6,3,8,1,7,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,1,6,3,8,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,6,3,8,7,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,6,1,8,3,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,8,1,3,7,5,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[6,2,8,5,7,3,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,4,8,7,1,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,8,7,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,4,7,8,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,1,4,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,3,7,8,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[5,4,7,6,2,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,6,4,8,2,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,3,7,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,2,1,6,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,1,8,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,6,8,4,2,1,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,3,2,6,1,8,5,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[1,5,8,2,7,4,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,2,3,4,8,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,3,2,1,4,5,8,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[7,8,1,4,3,5,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,1,2,3,4,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,1,2,3,4,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,8,2,1,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[7,4,1,8,3,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,8,1,5,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[1,8,7,3,5,4,2,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[5,1,8,2,7,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,2,8,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,7,1,3,4,8,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[6,8,1,3,4,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,2,3,4,6,8,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,6,2,3,4,8,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[7,6,2,3,4,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,2,3,4,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,7,3,5,4,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,2,7,4,5,1,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,7,2,3,4,1,8,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,6,2,3,4,8,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[8,6,2,3,4,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,1,2,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,1,5,2,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[5,8,1,2,4,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,8,7,6,4,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[7,8,2,6,5,1,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,8,7,6,3,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,2,6,5,8,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[6,4,2,1,7,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,1,6,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,7,2,6,8,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,7,5,6,3,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[2,8,7,6,4,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,6,2,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,6,1,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,6,4,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,6,8,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,5,8,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,6,1,2,5,8,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,3,6,5,7,8,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,3,2,5,1,4,8,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[7,1,4,2,3,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,3,1,2,4,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,3,8,1,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,4,8,6,2,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,1,6,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,5,7,2,6,8,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,3,5,2,6,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,3,6,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,6,3,5,7,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,8,6,4,3,7,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,3,2,6,4,7,1,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[2,3,8,7,6,5,1,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,5,8,7,1,2,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[1,5,8,7,3,2,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,6,8,1,7,5,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[3,5,8,4,7,2,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,6,8,2,3,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,8,4,3,7,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,1,2,8,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[7,3,1,8,6,2,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[1,6,2,8,7,5,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,6,4,8,7,2,1,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[3,1,5,8,7,2,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,1,4,8,7,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,8,3,7,1,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,6,1,3,8,2,5,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[2,3,5,4,8,7,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,1,4,2,8,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,1,5,4,2,8,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,1,5,2,3,8,6,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,1,2,4,3,8,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,4,2,6,7,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,3,5,4,1,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,1,2,7,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,1,5,8,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,5,1,6,8,3,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,6,1,2,7,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,1,2,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,1,4,6,8,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,1,4,2,7,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,5,4,1,8,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,4,2,1,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,6,1,5,3,2,4,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,4,6,1,5,2,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,6,2,1,5,4,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,5,2,6,1,4,3,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,8,2,1,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,2,7,5,1,3,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,1,7,5,2,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,2,6,1,7,4,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,7,4,3,2,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,5,7,3,2,6,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[6,5,7,1,8,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,7,3,8,1,2,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,6,4,7,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,3,7,4,1,2,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,1,7,3,2,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,8,1,7,3,2,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,3,1,7,4,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,6,8,1,7,2,3,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,5,8,1,2,7,3,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,4,8,2,1,3,6,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,4,3,8,1,2,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,5,2,6,8,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,4,6,8,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,5,3,6,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,4,6,8,1,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,3,5,2,6,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,7,1,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,4,1,7,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,5,6,7,4,8,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,1,6,7,3,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,1,3,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,7,3,4,5,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,3,6,1,2,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,6,7,4,8,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,2,6,1,3,7,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,7,2,4,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,2,8,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,2,4,8,1,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,7,2,5,8,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,2,4,5,7,3,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,4,5,1,7,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,2,6,1,7,8,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,6,4,1,2,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,5,1,2,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,7,1,3,8,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,4,6,3,1,7,8,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[8,4,5,2,6,1,3,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,5,4,2,1,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,5,3,1,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,5,4,2,1,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,5,4,2,1,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,4,5,3,1,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,4,3,5,6,1,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,3,7,4,1,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,7,3,1,4,8,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,6,7,3,1,8,2,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,6,3,7,8,1,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,3,7,2,4,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,4,5,2,8,1,3,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,7,3,2,4,8,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,3,2,4,1,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,3,2,7,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,3,2,7,4,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,5,2,7,3,8,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,4,5,2,7,8,1,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,4,5,2,6,1,8,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,5,6,2,1,3,8,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,7,3,5,1,2,8,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,7,2,1,8,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,7,8,5,6,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,8,5,6,3,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,3,8,6,4,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,5,7,8,6,3,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,7,8,3,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,8,1,5,6,3,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,1,8,5,6,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,8,3,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,1,7,5,8,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,1,5,3,8,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,3,5,8,1,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,3,7,1,8,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,7,5,3,8,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,7,8,5,3,6,4,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[5,7,8,6,3,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,6,1,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,1,6,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,8,6,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,8,3,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,7,1,3,8,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,3,1,5,8,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,5,1,2,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,3,5,1,2,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,3,5,8,1,2,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,7,5,1,2,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,5,7,3,8,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,5,8,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,6,3,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,2,7,8,3,4,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,1,8,2,3,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,4,7,6,2,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,1,5,4,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,1,5,6,7,2,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[2,8,3,6,7,5,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,2,1,7,6,3,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,6,3,2,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,3,2,1,8,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,8,1,7,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,1,3,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,1,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,2,1,5,6,8,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,7,2,6,4,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,2,5,3,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,1,7,3,6,8,5,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[6,4,1,5,7,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,1,2,5,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,5,8,3,7,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,8,3,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,5,3,4,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,3,7,2,8,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,8,7,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,5,1,4,7,3,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,2,3,5,1,8,6,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,4,5,1,8,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>6
[1,6,4,2,8,7,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,4,2,5,1,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,7,5,1,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,2,5,1,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,4,8,7,1,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,1,7,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,7,2,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,2,8,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,4,1,2,8,7,5,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[4,7,5,6,8,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,4,7,5,3,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,5,2,6,4,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,8,7,5,6,3,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[1,6,5,2,8,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[6,8,5,3,2,1,4,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[4,1,7,3,6,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,2,7,3,6,5,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[8,1,2,7,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,8,7,1,4,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,4,8,3,1,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,2,7,1,5,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,3,1,8,4,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,2,1,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,5,8,6,4,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,6,1,4,3,7,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,4,1,3,7,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,5,7,1,3,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,8,7,6,3,5,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[8,2,1,7,6,4,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,4,1,8,5,7,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,2,1,7,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,1,8,3,6,5,4,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[1,2,8,5,3,4,6,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,8,4,2,3,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,4,8,5,1,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,5,6,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,5,1,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,2,5,1,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,5,1,2,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,5,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,1,2,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,8,7,1,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,5,7,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,8,7,1,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,8,6,7,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,8,6,7,5,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,1,8,6,2,7,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[1,3,8,6,7,5,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,2,8,4,7,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,8,5,7,2,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,3,7,2,5,6,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[5,7,1,8,2,3,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,1,8,2,3,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,7,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,2,4,1,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,2,7,1,6,3,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,8,7,2,3,6,4,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,8,7,2,6,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,2,7,4,1,5,6,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,3,1,6,7,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,1,6,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,2,8,6,7,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,8,6,7,5,3,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,8,3,6,7,5,2,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[8,2,3,6,7,5,1,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,1,7,2,6,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,2,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,3,7,2,5,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,7,8,2,3,6,5,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[3,1,8,5,7,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,5,7,4,2,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[2,7,5,8,4,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,1,7,6,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,6,2,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,1,6,8,7,5,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,3,5,8,4,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,6,4,2,8,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,3,6,2,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,4,6,3,2,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,5,2,3,1,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,5,8,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,6,5,8,1,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,3,2,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,7,2,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,6,1,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,4,2,5,6,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,3,7,8,2,5,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,3,8,2,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,8,2,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,7,8,5,6,3,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,3,8,6,7,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,8,6,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,4,8,2,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,4,2,8,1,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,6,2,8,7,1,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,7,4,3,6,8,1,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[5,7,3,8,6,2,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,8,5,7,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,3,7,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,4,6,8,2,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,2,6,4,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[1,7,4,8,6,2,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,6,2,5,7,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,7,4,6,8,1,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,1,3,6,7,2,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,4,2,7,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,3,8,2,7,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,7,5,2,8,6,3,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[3,6,4,8,1,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,7,1,8,2,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,5,1,2,3,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,5,1,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,3,2,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,8,2,3,1,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,2,4,1,5,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,5,2,6,4,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[2,5,1,6,4,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,2,6,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,1,6,3,7,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,1,3,2,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,5,7,1,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,4,6,1,7,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,2,6,4,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,4,2,6,1,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,2,3,1,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,6,2,7,5,4,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,6,1,7,3,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,7,6,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,7,1,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,5,6,8,7,3,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[3,6,5,2,7,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,7,8,4,2,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,4,6,8,5,7,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,5,6,3,1,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,6,2,1,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,3,7,6,1,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,5,1,7,3,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,7,6,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,6,3,1,7,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,5,7,2,8,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,6,1,3,7,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,1,6,2,7,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,1,6,2,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,7,8,2,5,4,3,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[8,7,3,6,1,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,4,2,1,7,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,7,8,3,5,2,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,6,2,1,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,2,1,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,6,4,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,1,4,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,1,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,7,4,1,8,5,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,6,3,2,7,5,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,7,5,1,3,8,6,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[3,4,2,8,7,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,8,5,2,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,7,8,4,3,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,3,1,7,8,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,7,6,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,3,1,8,4,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,7,3,1,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,6,8,5,7,4,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,7,4,6,2,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,8,3,4,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,8,3,5,1,4,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,2,7,1,8,3,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,7,2,4,3,8,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,3,8,6,7,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,8,2,7,4,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,5,4,8,3,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,5,6,4,7,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[5,7,3,6,4,8,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,2,7,1,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,7,1,6,2,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,8,5,6,4,7,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,1,6,4,8,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,6,5,8,3,7,1,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[3,4,2,6,5,8,1,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,5,4,6,2,8,1,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,4,2,7,1,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,7,2,3,1,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,4,3,8,1,7,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,5,3,8,4,7,1,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,3,8,1,7,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,7,1,8,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,2,6,8,3,7,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,1,6,8,7,4,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,8,2,5,3,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,8,4,2,7,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,4,7,5,8,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,7,5,3,8,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,6,2,8,3,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,8,2,7,3,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,8,5,2,3,7,4,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,5,2,3,8,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,6,4,7,8,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,5,8,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,1,2,7,4,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,8,3,4,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,8,4,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,5,7,8,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,5,7,6,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,5,6,8,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,5,8,6,2,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,5,8,6,2,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,6,7,2,3,5,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,8,1,2,3,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,7,2,3,5,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,4,5,7,6,2,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,6,8,2,3,5,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,4,5,7,6,2,8,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,8,1,2,3,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,1,2,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,2,1,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,2,4,3,1,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,6,5,2,8,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,4,5,8,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,8,7,4,5,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[2,8,5,3,1,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,4,8,3,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,1,5,3,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,1,5,3,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,3,8,4,2,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,1,8,4,3,5,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,4,1,3,8,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[6,2,7,8,4,3,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,6,7,4,8,3,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,2,7,8,6,3,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[2,6,7,1,8,5,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,6,7,8,5,3,4,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,2,1,8,4,5,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,7,2,8,4,5,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,7,1,2,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,6,7,4,8,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[4,6,1,8,3,2,5,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[4,7,1,8,3,5,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,1,7,8,6,2,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[1,6,5,8,7,3,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,8,7,6,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,7,3,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,6,3,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,1,6,3,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,1,2,3,7,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,8,1,5,3,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,2,4,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,7,3,4,8,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,8,1,7,6,4,2,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[8,7,2,4,3,5,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,7,4,6,3,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,7,6,5,3,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,5,7,3,4,6,8,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[8,7,2,5,3,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,1,2,3,5,4,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,1,2,3,5,8,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,1,2,3,8,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,5,6,3,4,7,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,6,5,2,4,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,5,3,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,3,7,4,5,1,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,4,7,3,2,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,3,1,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[7,3,4,6,8,5,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[4,8,1,5,6,7,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,8,1,3,4,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,7,6,1,8,5,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,1,3,6,4,8,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,1,4,8,5,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,2,3,8,4,5,1,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,6,1,8,4,5,2,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[6,8,2,3,1,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,7,4,8,3,1,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[3,7,5,2,8,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,6,3,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,5,2,7,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,4,8,1,3,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,1,8,6,7,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,8,3,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,6,3,8,1,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,8,1,4,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,4,3,6,2,1,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[3,8,2,5,1,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[4,3,8,2,5,1,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,1,5,2,4,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,7,2,1,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,4,7,5,8,2,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,4,7,6,2,8,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,7,4,1,6,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,2,4,8,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,6,3,7,4,8,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,6,7,4,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,2,8,6,7,4,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,4,8,2,6,7,3,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,4,8,6,2,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,5,7,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,8,5,7,2,3,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,6,8,2,4,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,3,2,8,7,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,3,8,2,7,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,6,5,8,7,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,3,6,8,2,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,2,8,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,3,7,8,4,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,8,4,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,7,8,2,4,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,4,8,6,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,3,8,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,5,6,8,4,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,8,7,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,1,7,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,4,1,7,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,8,2,5,6,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,7,5,6,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,5,2,6,4,7,8,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,2,5,7,1,4,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,6,5,8,3,4,1,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,7,8,4,6,1,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,1,2,8,3,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,4,2,6,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[2,6,5,7,3,8,1,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[6,5,2,1,8,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,3,8,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,8,7,6,2,5,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,7,6,3,1,5,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[2,4,8,5,3,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,2,1,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,2,7,8,1,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,1,4,6,3,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,2,1,7,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,1,5,6,7,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,1,8,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,6,7,1,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,4,1,6,8,7,5,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[8,1,4,6,2,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,6,7,8,4,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[4,5,6,1,7,8,3,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[8,1,5,6,7,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,5,8,7,4,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,7,8,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,1,4,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,1,3,4,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,3,4,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,6,3,4,7,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,6,3,4,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,6,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,4,7,3,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,5,4,7,3,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,8,5,4,7,3,2,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[8,6,4,2,7,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,5,4,7,3,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,2,5,4,7,3,1,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,6,4,5,2,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,6,4,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,6,5,2,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,3,6,5,2,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,6,5,2,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,5,1,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,8,6,3,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,7,6,3,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,5,8,7,6,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,2,1,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,4,2,5,1,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,6,8,1,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,8,5,2,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,5,2,1,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,8,1,7,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,5,7,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,1,4,7,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[2,6,8,1,5,7,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,1,5,8,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,8,6,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,5,1,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,1,6,2,7,3,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,5,1,8,7,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,7,1,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,7,1,2,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,6,8,3,7,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,1,2,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,8,7,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,5,1,7,2,8,3,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[5,6,8,7,4,1,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,8,5,7,4,1,2,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,6,2,7,1,4,8,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,2,3,8,1,7,4,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[2,4,3,7,8,1,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,1,2,7,6,8,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,5,6,4,7,8,1,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,2,7,6,4,1,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,5,4,1,7,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,2,1,4,7,8,3,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,4,2,1,7,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,5,2,1,8,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,8,7,2,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,5,8,4,7,3,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[4,3,1,6,2,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,1,7,2,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,3,1,7,8,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,4,2,1,6,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,4,2,1,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[5,3,2,1,6,7,8,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,2,8,3,7,4,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,8,6,5,7,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,4,2,8,3,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,5,3,8,4,7,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,2,8,4,3,7,1,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,2,8,3,7,4,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,2,7,3,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,3,7,1,2,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,2,8,4,3,1,5,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[7,5,3,8,4,2,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,4,8,2,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,7,8,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,7,8,4,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,1,3,5,2,8,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,2,7,1,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,1,3,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,5,6,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,5,6,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,5,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,1,7,6,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,7,1,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,1,3,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,1,6,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,5,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,1,7,8,4,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,4,7,5,6,8,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,7,6,5,8,2,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[3,7,5,2,4,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,6,1,7,4,2,8,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,7,3,1,6,8,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,1,2,3,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,6,8,1,2,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,5,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,4,1,2,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,1,3,5,2,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,7,2,3,6,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,7,5,8,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,5,1,6,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,5,1,3,6,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,4,6,1,3,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,7,1,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,6,8,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,4,1,5,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,5,4,2,1,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,2,5,1,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,5,8,2,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,5,2,4,6,8,3,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[2,6,5,1,4,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,8,4,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,7,5,8,2,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,4,2,6,7,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,7,6,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[5,1,7,2,3,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,2,1,6,3,5,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,1,2,5,3,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,3,1,2,4,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,5,8,1,2,7,4,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,6,8,1,2,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,3,8,7,2,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,5,8,1,7,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,1,7,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,2,8,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,2,8,6,1,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,1,7,8,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,7,4,2,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,1,8,7,5,3,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,2,7,3,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,7,2,6,3,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,4,3,7,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,2,7,3,5,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,8,7,2,4,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,1,8,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,8,2,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,2,1,8,7,3,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,5,2,7,4,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,2,7,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,7,1,8,3,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,7,5,4,8,3,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,5,1,2,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,1,6,2,3,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,5,4,6,1,8,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,7,6,1,2,5,8,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[2,4,1,7,6,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,1,7,8,5,6,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[7,5,4,3,1,8,6,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,5,6,2,7,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,4,2,5,6,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,5,4,1,7,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,3,6,7,5,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,4,7,8,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,7,8,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,4,7,8,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,7,1,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,4,7,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,6,4,7,2,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,7,8,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,2,7,3,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,8,1,2,7,4,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,1,5,7,2,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,1,2,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,6,2,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,6,5,7,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,6,3,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,6,4,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,2,1,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,3,6,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,2,3,7,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,6,1,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,1,3,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,6,7,4,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,4,2,7,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,6,8,7,3,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,2,8,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,7,4,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,1,7,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,6,8,7,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,8,2,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,8,3,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,1,3,7,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,7,1,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,3,6,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,3,4,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,8,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,2,8,4,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,2,4,3,1,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,3,8,1,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,2,4,1,6,3,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,3,1,7,5,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,3,1,4,6,8,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,2,1,4,8,5,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,2,3,1,4,7,8,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[7,1,8,3,5,4,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,2,4,8,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,2,1,3,4,5,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,7,1,4,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,3,8,7,5,2,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,7,2,1,5,8,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,6,8,1,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,8,7,4,1,3,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[1,8,3,5,6,2,4,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,2,8,5,3,7,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,1,4,8,2,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,5,6,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,1,2,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,4,2,5,3,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[6,7,4,2,1,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,2,3,1,5,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[3,7,5,2,4,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,1,3,2,8,4,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,8,3,1,4,5,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,4,8,2,3,1,5,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,3,7,2,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,4,1,8,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,4,5,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,2,8,3,5,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,8,4,1,3,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,5,8,1,3,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,7,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,2,7,8,1,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[4,6,2,8,7,1,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[4,8,6,3,7,5,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[5,6,2,7,4,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,2,3,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,3,8,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,3,8,2,1,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,4,2,5,7,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,6,5,1,2,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,1,3,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,7,1,8,2,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,7,2,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,8,6,4,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,8,4,6,3,2,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[1,8,6,5,3,7,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,2,5,3,6,7,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,6,5,7,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,2,6,8,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,4,5,2,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,5,7,8,1,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,8,4,6,1,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,3,7,1,8,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,3,7,8,4,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,6,2,1,4,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,4,2,5,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[6,8,2,3,7,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[8,6,2,7,4,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,3,8,1,5,6,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[5,2,8,3,7,1,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,1,5,8,4,3,6,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,8,3,2,7,1,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,1,3,8,2,5,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,1,8,3,7,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,1,6,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,1,6,2,3,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[2,4,3,8,1,5,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,1,8,4,2,5,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,8,4,2,1,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,4,1,5,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,4,2,8,1,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,5,2,7,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,2,6,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,8,4,1,5,6,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[2,8,4,3,1,5,6,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[5,7,4,3,8,1,6,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,1,7,5,2,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,3,2,8,1,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,7,4,8,2,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,3,8,2,1,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,7,5,8,1,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,1,2,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,7,4,8,1,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,7,5,1,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,8,1,3,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[6,7,5,8,4,1,3,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,7,4,8,2,1,3,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,7,4,8,1,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,6,3,4,8,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,7,3,4,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[5,8,6,2,3,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,6,7,2,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,2,1,7,4,3,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,1,5,7,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,5,1,7,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,5,7,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,8,6,5,7,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,7,2,8,5,3,4,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,2,7,8,6,3,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,1,8,6,7,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,1,7,8,6,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,3,2,6,1,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,8,1,2,6,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,6,8,1,5,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,2,8,1,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,7,5,8,4,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,2,1,8,4,5,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,7,8,5,4,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,1,5,7,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,1,8,6,5,3,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,3,7,8,5,1,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,1,2,8,7,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,8,7,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,6,8,4,5,3,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[7,1,6,5,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,1,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,5,8,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,5,3,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,4,2,8,6,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,1,8,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,3,8,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,6,4,7,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,7,4,1,8,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,5,1,8,6,3,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,1,8,7,5,3,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,5,8,6,3,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,4,2,5,8,6,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[8,6,3,1,7,4,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,4,2,5,3,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,4,2,8,6,3,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[1,8,5,2,7,4,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,5,2,1,7,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,4,6,3,8,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,1,5,7,8,4,3,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,1,7,4,8,3,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,7,2,8,3,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,6,2,7,3,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,8,4,1,7,3,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,3,4,8,1,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,8,1,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,8,4,1,7,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,2,8,6,7,1,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,8,5,7,6,2,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,6,7,5,2,3,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[2,8,7,4,1,3,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,8,6,1,3,2,5,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,4,2,7,6,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,1,4,5,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[4,6,1,8,7,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,3,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,1,4,8,7,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,3,5,2,8,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,2,8,6,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,1,6,8,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,1,5,6,4,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,4,1,8,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,7,4,6,8,2,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,8,2,6,3,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[5,3,1,8,4,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,8,4,6,1,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,2,7,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,8,5,3,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,3,2,8,5,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,5,7,6,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,4,6,1,7,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[3,7,4,6,5,2,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,4,7,3,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,3,7,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,8,3,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,4,2,1,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,5,8,4,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,6,1,8,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,2,3,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,1,5,4,2,3,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[3,7,1,5,2,8,6,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[7,1,8,6,2,4,3,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,1,6,2,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,2,3,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,3,1,4,8,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,1,8,2,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,7,4,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,4,8,2,1,5,3,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,1,7,3,2,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,1,6,3,8,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[6,2,1,5,3,8,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,3,8,1,5,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,1,5,3,2,8,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,3,4,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,6,1,7,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,7,1,3,8,5,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,4,1,5,8,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,7,3,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,3,1,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,3,1,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,7,2,8,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,7,2,8,1,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,7,2,1,5,8,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,2,7,1,4,8,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,7,4,2,1,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,2,5,3,1,8,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,5,4,1,3,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,6,4,8,1,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,7,5,3,8,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,2,3,7,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[2,8,5,6,1,4,3,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,2,6,8,4,1,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,6,4,8,3,2,5,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,4,8,3,2,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,6,8,2,1,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,4,8,1,3,6,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[2,7,4,1,8,3,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[5,3,1,8,6,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,4,7,5,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,1,4,7,5,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,3,8,1,6,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,6,2,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,2,1,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,7,6,1,3,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,3,8,6,5,1,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,6,4,3,2,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,3,6,4,2,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,1,6,3,4,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,7,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,5,3,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,6,5,2,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,5,4,7,8,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[1,7,4,2,6,3,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,4,1,2,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,7,6,3,8,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,5,2,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,5,1,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,6,1,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,6,8,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,5,8,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,8,7,6,4,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,2,7,6,1,5,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,1,7,6,5,3,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,5,6,2,3,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,3,8,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,2,4,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,5,2,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,6,1,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,7,8,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,2,8,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,7,5,8,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,4,3,1,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,5,1,7,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,3,2,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,5,1,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,5,8,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,6,2,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,1,5,3,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,3,8,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,7,2,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,6,1,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,5,7,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,6,8,3,1,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,7,6,2,4,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,2,3,8,6,1,5,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,2,7,1,4,5,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,1,5,3,8,7,4,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,8,3,2,4,1,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,4,8,7,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,3,7,4,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,5,8,3,7,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,3,8,6,2,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,6,7,8,4,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,5,4,7,3,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,5,8,6,4,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,5,8,3,2,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[5,2,8,6,4,7,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,8,4,6,7,3,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,2,8,5,6,7,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,4,6,8,7,2,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,5,1,3,4,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,2,8,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,6,3,7,1,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,5,7,1,2,4,6,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,5,7,1,3,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,1,6,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,8,5,2,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,7,5,2,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,7,8,2,5,1,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,7,1,2,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,1,3,4,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,8,2,1,6,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,3,6,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,2,6,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,8,1,2,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,7,8,5,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,5,1,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,3,4,8,7,5,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,1,7,4,3,8,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,4,1,3,8,2,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,8,2,3,1,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,7,4,1,8,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,8,4,2,3,6,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[3,8,4,6,5,2,1,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,4,7,3,6,2,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,5,7,3,4,1,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[5,8,2,6,4,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,3,5,8,7,1,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,8,4,5,6,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,5,4,2,1,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[5,1,4,8,6,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,8,4,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,3,8,4,1,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,5,8,1,7,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,7,4,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,3,7,1,5,8,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[2,4,8,3,1,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,8,1,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,3,8,1,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,8,6,5,2,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,2,6,3,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[7,3,6,5,2,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,3,4,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,3,1,4,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,1,5,3,8,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,4,2,1,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,2,6,1,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,8,1,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,2,5,3,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,1,2,4,3,5,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,8,7,4,6,3,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,8,7,6,3,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,6,5,2,4,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,4,7,6,3,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,4,7,3,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,8,7,6,2,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,7,6,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,4,7,6,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,4,6,1,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,5,2,7,6,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,3,7,6,1,2,8,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[3,5,7,2,6,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,7,2,1,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,3,7,1,6,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,7,1,4,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,5,7,1,4,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,7,2,1,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,2,7,4,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,4,7,1,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,5,4,7,1,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,4,2,7,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,4,7,2,1,8,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,5,4,7,1,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,3,1,8,4,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[3,5,7,4,1,2,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,2,5,7,4,1,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,5,7,2,1,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,1,4,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,2,5,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,7,5,1,8,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,7,2,5,1,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,1,7,5,8,4,6,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,8,7,2,4,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,4,1,8,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,2,8,7,6,1,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,7,8,2,4,1,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,2,5,8,1,7,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,2,6,5,1,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,2,5,6,1,4,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[7,4,2,8,5,1,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,5,7,1,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,8,3,4,5,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[6,4,2,7,3,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,8,7,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,4,3,8,5,6,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,3,7,2,1,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,3,2,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,3,1,6,7,4,2,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,8,5,6,7,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,6,8,7,2,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[2,5,8,7,4,1,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,7,4,2,5,1,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,2,1,5,6,7,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,4,6,5,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,1,2,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,3,1,2,7,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,3,1,5,2,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,3,7,5,2,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[5,7,1,3,2,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,1,7,5,2,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,1,5,3,2,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,7,5,3,2,4,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[2,8,5,1,7,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,8,7,4,3,2,6,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[8,5,6,2,7,4,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,7,6,3,4,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,2,3,6,8,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,7,5,4,8,1,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,5,1,4,8,7,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,4,2,8,7,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,5,2,4,8,1,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,5,6,4,8,7,2,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[7,6,1,3,5,4,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,6,4,2,8,5,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,6,5,8,2,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,8,3,1,4,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,1,5,6,3,8,4,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,3,6,5,1,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,3,1,4,8,6,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,5,6,1,4,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,1,3,4,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,1,5,3,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,1,5,4,3,8,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[1,6,4,5,8,3,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,6,5,8,1,3,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,4,6,8,7,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,8,1,7,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[2,5,4,7,3,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,1,8,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,3,7,1,2,8,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,5,2,3,7,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,1,8,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,4,5,1,8,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,6,2,4,7,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,6,8,2,3,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,6,4,5,1,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,7,5,3,4,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,2,3,8,7,4,1,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[2,4,7,3,5,8,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,6,5,3,7,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,4,7,6,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[1,5,4,7,3,6,8,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,2,8,3,4,1,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,6,2,7,3,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,3,8,2,4,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,2,6,5,7,8,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,1,8,3,6,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,8,1,7,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,7,6,8,5,1,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,5,8,7,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,8,2,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,6,4,8,2,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,3,1,7,4,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,3,8,1,7,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,1,3,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,8,7,5,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,6,4,2,1,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,2,7,6,4,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,3,5,7,6,4,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[1,8,2,7,5,3,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[7,5,2,1,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,2,1,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,4,8,7,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,3,1,4,7,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,7,6,3,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,2,1,6,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,6,3,5,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,4,6,3,1,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,4,7,5,3,8,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[6,3,5,2,8,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,2,7,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,4,2,6,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,6,2,7,1,5,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[7,6,8,3,1,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,2,8,1,5,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,5,2,8,6,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,2,8,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,6,5,3,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,4,1,6,2,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,7,1,3,6,5,4,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[1,8,5,7,4,2,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,7,5,3,8,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,5,4,7,2,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,5,8,7,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,8,7,3,5,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,6,8,5,7,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,8,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,6,7,1,2,8,5,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,7,4,1,2,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,4,2,1,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,3,2,1,5,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,7,8,2,1,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,6,1,4,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,2,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,5,4,6,2,3,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[2,8,5,4,6,1,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,5,8,4,7,3,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,4,2,7,8,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,5,8,4,7,1,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,5,8,4,7,3,6,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[7,6,1,3,8,4,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[1,6,4,2,7,8,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,6,4,1,7,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,8,6,1,4,2,5]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,6,1,3,5,8,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,6,1,8,5,4,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,7,4,8,1,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,3,7,1,6,2,8,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,4,8,1,6,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,7,8,6,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,6,8,3,7,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,2,7,3,8,5,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,5,2,6,8,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,3,4,7,6,2,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,4,5,1,6,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,3,5,6,2,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,8,4,1,3,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,6,8,4,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,1,5,7,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,4,7,8,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,7,8,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,8,1,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,7,6,1,8,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,6,8,1,7,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,3,6,2,1,8,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,3,7,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,2,3,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,3,7,2,1,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,5,6,4,7,1,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,4,7,3,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[1,5,2,7,4,6,8,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[4,1,2,7,3,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,1,2,8,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,1,8,2,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,7,2,3,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,3,4,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,6,2,4,5,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,3,5,7,2,6,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[2,3,4,6,8,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,5,7,4,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,3,7,8,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,8,4,2,6,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,2,7,8,5,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,5,2,6,7,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,1,7,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,8,7,1,5,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,7,3,2,6,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,1,6,7,8,4,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[8,6,2,3,5,1,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,2,4,5,7,3,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,6,3,8,7,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,6,2,4,1,5,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,4,1,6,5,3,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,6,1,5,4,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,2,5,7,4,1,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,3,1,7,5,4,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,1,3,8,7,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,6,1,8,7,5,4,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,5,2,8,7,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,8,7,1,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,1,8,5,7,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,2,7,1,4,5,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,7,3,4,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,3,1,7,2,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,7,2,6,4,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[8,1,7,5,2,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,4,8,5,7,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,2,7,3,1,5,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,1,8,7,5,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,1,8,2,7,5,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,1,7,3,5,2,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,1,5,2,7,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,7,2,4,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,1,3,7,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,1,4,8,7,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,6,3,2,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,1,3,2,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,3,2,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,1,3,2,4,6,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,5,8,2,1,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,2,5,4,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,1,2,5,7,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,7,8,2,3,5,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,8,2,3,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,6,5,2,3,8,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,7,4,2,1,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,6,3,2,8,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,4,2,1,7,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,8,1,7,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,2,3,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,8,5,3,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,5,8,2,6,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,7,6,1,5,2,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,7,6,2,8,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,8,5,1,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,6,1,8,4,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,1,2,6,3,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,8,4,2,5,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,8,5,6,4,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,2,7,5,8,3,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,6,2,7,3,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,3,1,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,3,5,1,4,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,3,8,2,5,7,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,1,8,6,4,7,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[7,5,2,3,8,4,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[4,5,1,7,6,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,5,2,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,3,6,1,7,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,4,5,3,8,2,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,3,4,6,8,1,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[5,6,8,1,3,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,1,2,5,8,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,4,8,1,7,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,1,7,8,5,4,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,1,8,4,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,8,3,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,6,8,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,8,1,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,8,7,2,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[2,3,7,6,5,1,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,8,4,6,3,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,7,6,4,8,1,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,7,2,5,3,8,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,4,8,3,7,1,5,6]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,6,5,2,1,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,1,8,3,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,7,4,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,1,3,2,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,7,6,3,5,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,7,6,3,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,4,2,3,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,7,8,3,2,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,8,3,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,1,3,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,3,7,1,4,5,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[2,8,3,7,1,4,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,6,2,7,4,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,5,1,7,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,7,6,5,1,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,6,7,1,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,6,1,8,4,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,7,2,6,1,3,8,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[3,8,7,5,6,1,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,8,4,7,2,1,5,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,4,6,5,1,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,8,2,1,3,5,6,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[2,6,7,3,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,5,7,4,3,8,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[1,5,8,7,4,3,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,4,1,3,8,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,1,2,3,8,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,3,7,2,5,4,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,7,3,2,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,7,2,6,3,4,8,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,7,5,4,6,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,3,2,1,7,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,1,7,5,3,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,3,7,2,8,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,6,5,7,2,8,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[4,6,5,3,8,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[2,6,5,8,7,3,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,3,8,4,1,7,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,2,8,1,6,4,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,2,8,6,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,7,8,5,3,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,8,7,3,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,5,6,7,3,1,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,5,1,6,4,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,4,3,7,8,2,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,1,2,7,5,8,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,5,6,7,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,2,8,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,7,2,8,6,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,3,6,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,6,3,1,5,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,6,3,8,7,5,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,8,4,5,1,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[3,5,8,2,7,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,6,1,8,7,5,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[2,3,6,8,7,5,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[8,1,4,7,6,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,6,4,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,6,2,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,6,5,3,8,4,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,7,4,8,1,2,3,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[8,2,1,5,3,7,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,7,1,5,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,7,6,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,6,8,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,1,2,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,5,7,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,2,7,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,6,1,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,6,3,1,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,1,3,4,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,4,8,2,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,8,6,1,4,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,1,8,2,4,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,6,8,4,1,5,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,3,2,8,1,5,4,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,4,7,3,2,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,5,3,8,4,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,4,5,7,8,1,3,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,3,2,8,4,5,1,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,1,8,3,5,4,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,5,2,4,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,6,4,8,3,5,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,4,8,6,3,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[4,8,2,5,3,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,2,7,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,3,7,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,2,1,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,2,1,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,5,7,3,4,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,3,5,8,6,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,7,3,8,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,2,7,5,8,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,1,5,4,7,8,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,5,7,2,3,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,1,4,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,5,8,7,4,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,7,5,3,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,2,4,7,1,3,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,5,1,4,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,7,1,3,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,7,5,3,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,4,3,1,5,6,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,7,1,4,3,5,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,1,8,4,7,3,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,7,3,6,1,2,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,2,1,7,4,3,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,7,6,2,3,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,2,5,3,4,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,6,1,8,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,7,5,3,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,4,1,7,5,2,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,7,8,2,3,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,7,1,2,5,6,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[2,8,7,4,1,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,2,1,5,7,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,8,6,7,5,2,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,7,5,3,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,5,7,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,5,8,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,8,5,3,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,5,6,8,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,1,8,7,2,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[1,3,8,5,2,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,8,6,7,2,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,4,6,8,5,2,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,2,6,7,8,1,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,5,6,8,1,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,8,6,1,2,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,2,6,8,7,1,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,4,6,8,7,2,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,5,3,8,1,7,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,5,8,4,1,7,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,4,8,1,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,6,4,8,5,1,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,3,7,5,2,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,7,4,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,4,1,3,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,6,8,3,5,4,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,2,4,6,1,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,6,5,2,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,5,2,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,6,7,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,7,8,1,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[5,3,7,6,8,4,1,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,4,8,6,3,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,3,8,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,4,8,7,2,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,4,6,2,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,5,6,2,7,3,8,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,4,6,1,7,2,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,5,4,1,3,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,3,8,1,6,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[2,8,6,1,7,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,6,1,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,5,1,6,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,1,8,6,3,7,5,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[4,3,8,5,7,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,2,8,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,3,4,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,1,7,8,2,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,1,8,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,3,1,8,4,5,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[2,1,4,8,3,7,5,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[1,5,2,6,4,8,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,6,2,5,3,8,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,8,2,6,3,7,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,2,6,4,8,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,2,7,4,8,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,6,4,1,5,3,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,6,5,4,1,3,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,3,8,7,4,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,3,8,7,4,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,5,8,7,4,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,7,5,1,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,8,7,1,3,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,7,3,5,2,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,2,1,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,6,5,2,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,7,2,8,4,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,7,8,6,4,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,3,5,2,8,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,6,5,1,7,2,4,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,8,5,1,7,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,8,3,7,4,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,6,3,4,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,6,4,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,8,7,5,4,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,2,6,4,3,8,1,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,5,3,1,4,8,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,8,1,7,6,2,5,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[8,1,7,6,4,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,6,3,8,5,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,1,5,2,4,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,6,3,8,2,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,2,4,7,3,8,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,4,8,7,3,6,5,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[8,3,7,2,5,1,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,7,2,8,1,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,8,1,4,3,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,7,5,6,2,3,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,7,5,8,2,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,7,5,2,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,3,5,6,7,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,2,4,7,1,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,7,5,4,6,1,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,3,7,4,6,1,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,6,7,4,1,3,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,7,4,1,3,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,6,3,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,1,6,3,5,7,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,4,2,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,6,1,5,7,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,3,6,2,5,7,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,6,1,2,5,7,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,4,1,5,7,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,4,1,6,5,7,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,5,4,2,6,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,2,7,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,7,5,3,1,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,2,5,1,8,6,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,7,6,3,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,7,3,8,6,2,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,7,5,3,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,2,8,4,3,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[4,3,7,5,8,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,5,3,7,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,2,8,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,4,1,6,3,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,7,5,6,1,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,6,4,1,8,5,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[2,8,6,5,3,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,6,2,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,5,2,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,2,8,7,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,6,3,2,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[1,8,5,4,2,7,3,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[3,7,6,1,5,8,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,5,8,2,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,4,1,3,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,1,6,2,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,5,2,4,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[7,1,5,2,4,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,2,5,4,1,3,8,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[7,5,8,1,6,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,1,3,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,4,5,7,2,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,2,6,7,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,1,7,5,3,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,5,1,6,7,8,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,7,6,1,2,3,8,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[3,6,7,5,1,2,8,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[1,7,6,8,5,2,4,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[5,7,6,8,1,2,4,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[7,8,6,1,4,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,3,6,2,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,8,5,3,6,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,3,8,2,1,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,2,3,4,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,7,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,6,8,5,2,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,2,7,4,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,3,6,2,8,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,3,7,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,1,5,6,8,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,1,2,6,5,8,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,3,6,2,1,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,6,4,5,8,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,1,4,5,2,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,5,4,1,6,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,5,4,8,6,3,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,4,8,6,3,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[8,5,4,1,6,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,1,5,6,7,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,1,8,5,6,7,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,3,6,8,2,7,1,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,3,6,8,2,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,4,8,2,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,5,8,3,6,7,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,2,5,6,7,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,8,4,1,6,5,2,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[6,3,8,1,5,7,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,1,2,5,7,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,1,4,2,6,5,3,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,5,8,7,4,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,8,3,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,3,5,7,4,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,2,3,8,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,4,5,8,1,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[3,7,8,1,4,5,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,8,2,1,6,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,4,7,2,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,8,5,3,7,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,7,3,1,2,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[1,8,5,7,2,4,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,5,4,2,3,6,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,3,6,8,5,4,2,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,6,3,8,2,7,4,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[7,2,8,5,6,3,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,5,7,6,8,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,1,8,6,4,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,6,8,5,4,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,4,8,3,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,8,7,2,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,5,2,1,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,5,4,8,3,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,5,6,2,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,8,7,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,8,6,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,5,6,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,1,5,8,6,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,6,1,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,6,1,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,5,6,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,8,6,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,5,8,6,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,5,8,6,7,4,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[3,4,5,8,7,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,1,5,6,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,7,1,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,6,4,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,5,7,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,4,7,2,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,4,6,1,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,5,6,4,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,4,5,6,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,5,2,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,5,2,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,5,1,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,7,3,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,6,7,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,7,1,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,6,5,3,7,8,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[6,1,4,7,2,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,3,8,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,1,3,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,1,8,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[6,1,7,4,2,8,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,3,2,8,4,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,1,8,4,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,6,1,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,4,7,1,5,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,6,7,5,1,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,5,7,6,1,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,7,4,6,5,2,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,5,6,7,4,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,6,4,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,7,5,1,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,7,6,5,1,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,5,2,7,4,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,5,2,6,7,4,1,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[8,5,3,7,6,4,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,2,3,7,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,5,4,3,2,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,4,5,8,3,1,6,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,7,4,6,1,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,6,7,3,8,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,5,4,8,3,2,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,7,3,5,8,4,6,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[7,2,1,6,4,8,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,5,8,3,2,4,6,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,8,7,2,4,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,3,7,6,4,8,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,8,7,6,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,7,5,4,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,5,6,1,4,3,2,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,5,7,1,4,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,1,4,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,6,5,1,4,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,6,3,4,2,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,6,3,8,4,5,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,3,8,4,1,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,5,3,1,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,5,1,7,2,4,8,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,1,2,7,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,1,8,3,7,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[1,8,7,5,3,2,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,8,1,7,5,4,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,6,3,1,2,8,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,5,7,1,4,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,7,5,2,6,4,8,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,7,4,1,3,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,2,8,4,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,3,5,7,8,2,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[7,6,4,1,8,3,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[5,4,1,6,7,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,3,7,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[1,2,4,7,6,3,8,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,7,4,1,8,5,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,6,4,1,5,7,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,1,5,4,8,3,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,2,8,7,4,3,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,3,6,4,7,8,2,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[8,4,6,5,1,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,5,7,2,1,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,7,2,8,6,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,5,8,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,8,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,3,7,8,1,6,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,5,8,6,1,4,2,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[1,8,4,2,7,6,3,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,3,8,2,6,5,4,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[2,4,1,8,7,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,7,8,2,6,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[5,4,7,8,2,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,2,1,8,5,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,6,4,8,3,2,1,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[4,7,5,8,2,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,2,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,1,6,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,6,7,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,2,6,1,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[8,4,6,7,2,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,4,7,5,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,1,3,4,5,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[1,8,2,6,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,7,3,2,8,1,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,2,6,3,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,7,6,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,3,1,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,4,3,1,6,2,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,7,6,2,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,3,2,1,8,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,7,8,4,3,2,1,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,7,4,3,2,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,8,1,3,7,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,5,1,8,3,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,1,5,8,4,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,1,5,2,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,1,2,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,4,3,8,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,1,2,4,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,4,1,3,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,1,2,7,4,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,5,2,1,4,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,3,2,7,8,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[1,8,3,6,7,2,4,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,2,8,3,7,4,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,6,7,2,1,8,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,7,1,8,2,5,4,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[4,5,8,6,1,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,5,8,6,2,7,3,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,6,7,2,1,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,3,5,6,7,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,8,3,2,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,1,7,4,5,2,6]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,6,1,5,7,8,2,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,8,2,5,4,7,1,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,6,8,5,2,7,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[3,7,8,5,2,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,8,5,4,1,6,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,6,8,5,3,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,6,5,2,7,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,1,7,3,8,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,7,3,1,2,4,8,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,1,2,4,8,5,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,3,5,8,6,4,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[8,6,1,7,5,3,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,6,1,4,5,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[1,2,7,5,3,4,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[7,2,8,3,6,4,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,8,1,5,7,2,6,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[8,7,5,1,4,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,3,1,7,2,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[5,6,8,7,3,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,2,6,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,8,6,3,7,1,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,3,8,1,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[6,8,7,5,3,1,2,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,3,6,1,4,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,8,4,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,8,2,6,4,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,6,3,4,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,7,2,3,5,8,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[2,8,4,3,6,7,1,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,3,2,5,6,1,8,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[1,5,2,7,4,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[6,5,8,7,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,8,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,6,5,2,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,7,2,4,8,3,5,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,6,8,2,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,8,3,6,7,4,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,7,2,5,3,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,1,5,6,2,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,1,4,6,7,3,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[7,2,6,1,3,4,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,1,3,7,2,5,8,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,2,7,5,1,3,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,7,5,6,2,3,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,8,1,3,6,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,3,7,2,4,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,5,4,7,8,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,7,3,8,5,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,5,8,4,7,1,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,5,8,7,1,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,5,7,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,5,4,1,8,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,2,5,1,4,8,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,5,4,1,3,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,8,7,4,2,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,4,7,6,5,3,1,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,1,7,4,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,3,7,4,1,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,5,7,6,2,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[4,2,8,7,3,1,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,4,8,2,6,7,1,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,8,5,4,1,7,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,1,5,7,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,7,1,6,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,8,1,7,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,6,7,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,4,6,8,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,2,8,1,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,2,8,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,5,2,6,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,4,7,5,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,2,7,6,4,8,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,1,3,5,6,2,8,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,1,5,8,4,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,1,8,3,5,2,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,3,8,5,6,2,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,1,5,8,3,7,4,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,6,3,5,8,7,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,6,5,3,7,2,1,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,4,8,6,5,3,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,4,8,5,6,3,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[7,8,4,1,3,5,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,3,1,8,2,5,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,1,6,3,8,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,8,1,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,3,5,1,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,6,4,3,7,1,8,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[5,1,2,4,6,7,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,8,4,6,3,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,8,2,4,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,8,2,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,2,4,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,7,5,2,3,8,6,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[6,4,7,3,2,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,2,5,8,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,3,2,6,8,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,2,6,7,3,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,4,2,6,3,7,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,4,6,2,3,8,5,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,5,6,2,8,3,4,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[4,7,6,2,3,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,2,5,8,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,3,8,5,4,7,2,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,4,6,3,8,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,3,8,7,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[2,4,6,5,8,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,8,5,7,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,4,6,8,3,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,5,8,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,6,8,7,1,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,4,6,8,7,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,8,5,1,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,4,6,5,3,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,5,8,3,1,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,4,6,8,7,3,1,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,4,6,8,7,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,5,2,1,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,1,4,7,5,8,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,8,6,5,3,2,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[6,1,2,7,8,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,3,1,7,4,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,2,6,5,1,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,2,7,6,5,3,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,6,3,1,7,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,3,7,6,2,5,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,8,6,2,3,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,6,8,2,7,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,3,8,2,5,6,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,3,8,4,2,5,6,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,6,2,8,5,4,3,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,4,8,3,2,5,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,2,5,8,3,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,6,4,5,7,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,3,7,5,6,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,6,7,4,5,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,7,3,6,4,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,4,5,2,1,8,6,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[4,7,5,2,1,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,3,1,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,8,3,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,4,6,3,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,5,2,3,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,2,4,8,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,2,8,5,1,4,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,8,7,1,4,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,5,3,1,4,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[3,7,8,5,1,4,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,8,6,2,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,5,4,2,1,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,7,2,1,8,4,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[8,7,1,6,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,5,1,2,7,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,2,1,7,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,5,7,8,2,4,6,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,8,2,5,4,3,6,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,5,3,7,8,2,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,8,2,7,3,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,5,7,8,4,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,5,6,2,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,5,1,4,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,6,5,3,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,5,6,8,4,2,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[7,5,4,1,8,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,8,2,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,3,8,2,5,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,8,6,1,4,3,2,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[2,4,7,8,6,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[4,5,2,7,8,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,5,3,7,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,5,7,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,2,8,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,6,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,6,4,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,5,6,4,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,4,6,7,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,3,5,8,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,4,7,5,8,1,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,1,6,4,8,7,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,4,6,7,1,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,6,1,2,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,6,2,8,7,1,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,1,3,8,4,5,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,6,7,2,8,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,7,1,3,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,1,8,2,5,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[3,4,1,8,7,2,6,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[4,1,8,3,2,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[3,8,4,2,7,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,4,7,1,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,2,4,8,7,1,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,3,4,6,8,7,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,5,1,7,6,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,8,3,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,8,5,2,4,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,3,1,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,3,5,8,4,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,5,6,1,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,4,8,6,2,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[4,6,8,2,3,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,3,4,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,4,6,7,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,2,5,8,6,7,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,7,2,4,1,8,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,5,3,8,4,1,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,4,8,3,5,7,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,1,7,2,4,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,8,2,4,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,7,3,1,4,2,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,2,6,5,1,7,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,3,2,6,7,1,8,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,3,8,6,7,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,2,8,7,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,8,4,2,6,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,7,8,6,4,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,7,5,6,8,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,5,4,2,1,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,3,1,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,6,3,8,7,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,6,3,5,2,7,8,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[6,1,4,8,2,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,6,3,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,5,2,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,7,3,5,4,8,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,7,3,5,6,8,4,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,7,8,3,6,4,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,5,7,6,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,1,6,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,5,6,8,3,2]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,6,7,4,3,1,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,8,5,3,1,4,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[1,5,2,8,4,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,2,8,5,6,3,4,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,7,3,5,2,8,6,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,6,7,2,5,8,4,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,4,5,8,2,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,7,6,4,8,2,5,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,5,2,7,6,4,8,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,5,3,2,8,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[4,8,1,7,5,2,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,6,8,4,1,3,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,8,7,5,4,1,2,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,8,2,7,5,1,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,4,8,6,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,8,3,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,5,2,4,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,8,2,5,4,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,4,8,2,6,3,5,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[8,7,3,1,6,4,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,1,7,8,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,2,4,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,3,2,6,1,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,1,7,6,4,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,5,3,1,4,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,8,7,6,4,2,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,8,6,7,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,6,2,5,8,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,3,6,8,5,4,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[8,6,2,5,7,4,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,1,3,6,8,5,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,6,2,7,4,5,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,2,6,4,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,2,6,4,3,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[6,5,7,2,8,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,5,8,1,4,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,3,7,4,8,2,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,5,1,4,3,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,2,1,5,3,8,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,1,8,7,3,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,3,6,7,1,4,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[2,6,5,1,4,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,8,7,5,3,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,6,3,1,4,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,1,4,8,7,3,6,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[4,8,7,3,1,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,3,6,5,1,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,7,1,2,6,5,3,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,7,1,2,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,3,4,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,5,6,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,5,3,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,5,6,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,5,1,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,7,3,6,5,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,5,4,2,8,3,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[5,7,2,1,8,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,8,7,4,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,3,2,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,3,5,8,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,7,3,5,2,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,8,1,3,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,3,5,2,4,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,4,2,7,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,5,7,3,6,8,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,7,3,6,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,8,2,4,5,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,8,6,2,4,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,6,5,7,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,7,2,5,6,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,1,6,4,3,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[1,8,2,7,5,4,3,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[5,8,6,1,7,3,2,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,7,1,2,8,4,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[2,5,7,1,8,4,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,5,7,1,6,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,6,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,7,6,8,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,6,7,5,2,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,7,5,6,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,8,6,7,3,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,4,8,6,7,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,7,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,3,8,7,5,4,2,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[8,2,7,6,4,3,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,7,6,4,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,6,7,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,5,6,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,5,4,8,6,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,4,1,6,7,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,5,6,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,4,7,6,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,6,2,8,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,2,5,6,7,1,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[3,4,5,6,2,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,1,6,5,8,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,7,4,2,5,8,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,1,3,6,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,3,8,4,6,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,8,7,1,6,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,1,4,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,4,2,1,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,7,2,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,3,4,6,2,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,8,7,6,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,3,5,6,1,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,2,7,6,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,3,1,4,5,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,3,8,1,4,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,3,1,6,4,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,4,1,2,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,6,4,2,5,3,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[4,8,7,5,3,1,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[4,1,8,5,3,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,4,2,5,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,4,8,6,1,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,6,1,4,5,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,8,1,5,6,2,4,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[6,8,4,1,5,2,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,2,8,1,6,4,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,8,4,1,2,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,1,2,5,3,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,5,6,2,8,4,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,5,8,6,1,7,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,7,8,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,3,4,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,8,7,3,2,5,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,8,6,2,4,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,2,8,1,5,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,1,5,8,2,3,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,1,8,4,2,3,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,6,2,1,8,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,1,6,5,7,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,4,1,8,2,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,7,3,2,8,6]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,8,2,5,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,5,7,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,7,1,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,2,7,8,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,7,2,1,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,8,5,2,4,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,7,8,5,2,6,3,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,6,1,2,5,3,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,6,2,4,8,1,5,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,5,7,3,8,6,2,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[6,7,5,1,8,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,1,2,4,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,1,5,3,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,3,2,8,7,1,6,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,5,6,1,4,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,1,2,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,5,7,4,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,5,8,7,4,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,7,4,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,3,8,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,6,8,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,3,6,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,6,3,8,4,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[8,7,5,3,1,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,3,1,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,2,8,3,1,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[3,8,7,2,1,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,2,8,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,7,3,8,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,3,2,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,3,1,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,3,2,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,8,7,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,2,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,2,8,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,8,7,1,6,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,5,1,7,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,6,1,7,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,1,3,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,1,3,8,6,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[1,4,5,7,8,3,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,8,4,7,3,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,4,6,3,2,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[6,4,8,5,3,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,5,7,8,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,8,2,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,7,1,6,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,3,8,7,2,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,1,8,2,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,3,4,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,7,1,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,6,2,3,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,4,2,5,7,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,8,3,6,4,7,2,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,1,5,3,6,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,8,1,5,7,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,2,1,8,6,4,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,3,8,6,4,7,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,7,6,8,3,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,2,3,8,4,5,6,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[6,5,1,8,7,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,8,7,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,1,7,6,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,6,1,5,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,3,7,5,4,1,6,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[3,4,8,1,5,2,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,6,5,7,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,5,7,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,8,1,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,6,7,1,8,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,4,6,7,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[6,2,7,4,8,5,1,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,7,1,3,8,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,1,8,5,2,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,2,6,7,8,5,3,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[8,7,2,1,5,4,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,4,8,6,5,3,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[7,6,5,2,4,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,3,1,5,8,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,1,8,7,2,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,2,7,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,2,7,1,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[2,8,6,1,4,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,8,7,2,5,4,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,2,6,4,8,7,5,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,7,2,8,6,5,1,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,7,1,8,6,5,3,2]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,7,3,8,6,1,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,1,2,6,8,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,8,7,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,5,1,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,2,8,5,7,1,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,6,8,3,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,7,6,3,2,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,4,6,7,3,2,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,4,6,2,3,1,5,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,5,2,1,4,3,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,5,6,1,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,2,8,5,1,3,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,2,7,8,6,1,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,8,2,5,1,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,6,5,3,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,4,6,3,8,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,7,1,8,6,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,1,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,2,4,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,5,4,8,7,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,2,8,7,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,1,7,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,1,7,5,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,5,2,7,8,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,7,8,5,6,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,5,6,1,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[2,6,4,3,7,5,8,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[7,2,3,6,1,8,4,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[2,3,6,7,8,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,1,6,8,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[3,7,4,8,6,1,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,8,1,6,7,4,2,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,2,8,4,6,1,3,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,2,7,4,3,8,1,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[1,7,8,4,6,2,3,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[7,1,8,4,6,2,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,6,5,4,7,2,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,1,6,8,7,3,2,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,1,8,4,2,5,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,2,4,8,6,3,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,5,2,4,7,3,8,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[8,6,3,5,7,4,1,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,6,3,5,8,4,2,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,1,8,6,2,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,5,8,6,2,3,4,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[1,7,6,4,3,8,5,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,4,7,3,6,8,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,4,7,5,3,2,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[6,8,5,2,1,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,2,6,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,7,6,1,4,3,5,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,6,2,7,1,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,2,8,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,3,1,5,2,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,7,6,1,2,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,1,4,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,8,6,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,6,4,8,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[1,5,7,3,8,2,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,7,5,8,4,1,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[3,7,1,2,8,5,6,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[5,3,1,7,4,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,7,1,8,6,3,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,7,6,1,3,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,6,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,1,7,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,7,1,8,6,5,4,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,7,6,1,8,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,8,3,1,4,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,7,5,2,4,8,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,8,6,2,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,4,5,6,7,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,7,8,4,3,5,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,8,6,7,4,2,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,7,8,3,4,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,3,5,6,2,8,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,7,8,3,4,2,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,4,5,6,2,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,8,2,7,3,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,2,3,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,1,3,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[5,1,8,3,6,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,5,6,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,2,6,4,7,8,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,3,2,7,6,4,8,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[7,3,5,2,8,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,7,4,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,5,2,4,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,5,4,8,6,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[7,6,4,1,8,2,5,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,1,6,7,3,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,8,6,3,7,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,7,1,2,6,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,2,3,6,8,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[8,6,4,7,5,1,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,7,3,5,4,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,3,1,2,8,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,5,6,7,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[5,1,7,6,3,4,8,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,1,7,5,4,8,2,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[5,8,1,6,4,7,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[5,7,1,6,8,3,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,2,5,6,7,1,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,1,4,3,2,8,5,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[2,4,8,6,5,7,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,1,8,7,4,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,4,8,7,5,1,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,5,7,6,1,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,6,2,8,4,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[6,1,4,3,8,7,5,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,3,1,8,7,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,5,2,1,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,4,1,3,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[6,2,3,8,7,5,4,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,4,7,5,8,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,3,4,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,6,8,1,4,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,4,3,7,1,8,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,7,1,8,3,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,2,7,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,3,5,2,7,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,4,6,3,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,8,2,5,4,1,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,7,2,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,2,8,3,6,4,1,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,2,6,4,1,5,3,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[1,4,8,3,7,5,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,2,1,4,8,5,3,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,2,8,3,7,5,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,7,2,6,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,7,3,8,4,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,5,3,8,4,1,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,2,5,3,7,4,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,3,6,4,8,5,2,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[8,5,1,3,6,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,3,6,5,2,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[8,4,1,3,7,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,7,1,4,3,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[7,1,5,3,2,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,6,2,3,1,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,4,2,7,3,6,8,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,6,3,2,4,7,8,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,8,5,3,2,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[3,6,7,1,8,4,2,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[2,7,3,8,4,5,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,1,4,3,8,5,6,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[2,7,4,1,3,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,2,1,4,7,5,8,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[3,2,4,6,7,8,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,8,1,6,3,7,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,1,5,2,6,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,3,5,2,6,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,7,6,1,8,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,4,8,6,3,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,2,1,6,4,8,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,7,2,4,3,5,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,3,8,2,1,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,5,8,3,2,7,1,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[6,8,5,2,7,3,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,6,2,4,8,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[4,6,7,2,5,3,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,7,3,1,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,7,6,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,1,8,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,6,2,5,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,8,1,7,2,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,2,1,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,1,2,6,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,5,8,7,4,6,3,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[5,7,2,1,3,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,7,2,6,8,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,6,5,1,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,6,8,5,1,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,6,4,5,7,3,8,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,4,7,8,6,2,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,3,1,6,8,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,8,5,2,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,5,8,7,6,4,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,1,4,7,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,7,5,4,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,1,7,6,4,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,6,3,2,1,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,1,4,6,3,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,1,6,3,4,2,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[8,4,3,6,1,5,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,1,4,3,7,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,4,2,1,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,7,3,6,1,8,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,6,2,4,1,5,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,2,4,6,3,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,6,4,1,3,2,8,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[6,2,5,7,4,3,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,7,6,8,5,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,8,5,1,3,6,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,1,5,7,8,3,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[7,6,4,2,8,5,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[1,7,6,4,8,5,3,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[8,7,4,2,1,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,3,5,1,4,6,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,7,5,8,4,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,8,3,4,2,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,2,6,8,3,7,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,8,5,1,4,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,5,1,3,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[1,7,8,5,3,4,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,8,3,6,4,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[6,3,8,1,4,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,8,1,2,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,4,2,3,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,1,8,3,7,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,1,5,4,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,5,1,6,3,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,3,8,4,7,2,6,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,5,3,2,6,8,4,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[5,4,3,1,7,2,8,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,7,6,5,8,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,2,8,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,5,7,6,2,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[7,6,8,4,3,1,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,7,6,5,3,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[6,2,3,5,8,4,1,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,7,4,6,5,1,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,7,3,8,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,3,6,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,2,7,3,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,7,3,4,5,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,5,2,4,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,6,1,3,4,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,8,7,3,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,7,5,8,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,5,6,4,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,8,2,1,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,2,7,5,3,8,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,4,5,1,8,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,7,8,3,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,1,3,7,2,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[1,5,3,6,8,7,2,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[7,6,2,8,1,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,6,8,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,6,5,7,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,2,6,5,1,8,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,8,5,6,3,1,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,5,3,8,7,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,5,3,8,4,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,5,6,1,8,3,2,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,8,1,4,2,3,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,1,6,5,2,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,8,2,7,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,2,7,3,1,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[7,8,1,3,6,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,8,3,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,2,3,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,4,7,3,2,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[6,8,3,2,4,5,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,4,8,2,3,5,1,7]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,4,6,8,2,3,1,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[5,4,7,8,2,1,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,8,6,3,1,2,4,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,6,1,3,2,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,3,7,2,1,8,6,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[3,6,8,5,2,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,4,8,3,2,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,3,7,8,2,1,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,4,8,1,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,3,5,8,7,4,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,8,5,7,3,4,2,1]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,4,1,8,7,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,3,5,8,4,7,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,3,8,7,5,1,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,7,2,4,1,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[8,2,3,5,6,1,4,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[4,3,5,6,8,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,7,4,3,8,1,5,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[3,8,2,7,6,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,6,2,1,8,4,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[3,1,6,8,2,7,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,8,7,2,4,6,1,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,5,2,8,7,6,4,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[4,7,1,2,6,5,8,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,2,5,6,8,7,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,3,7,8,5,4,6,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[5,2,4,1,8,3,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,7,3,2,4,5,8,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,3,8,5,7,4,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,2,8,6,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,1,8,2,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,6,2,4,3,8,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,1,4,7,3,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,8,6,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,6,3,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,3,1,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,7,5,3,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,8,3,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,1,8,7,2,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[1,6,4,7,3,5,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[3,5,6,4,8,2,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,5,4,7,8,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,5,8,2,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,1,4,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,2,6,7,8,1,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,8,5,3,2,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,5,3,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,1,3,2,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,1,6,4,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[1,4,8,5,3,2,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,2,7,6,4,1,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,8,2,7,3,1,5,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[4,8,5,7,1,3,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,2,1,5,8,6]=>{{1,3,5,6,7,8},{2,4}}=>6
[4,8,2,7,1,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,2,8,7,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,7,8,4,1,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,7,8,3,5,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,1,2,8,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,7,8,3,2,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,6,4,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,1,8,4,3,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,1,3,7,5,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,8,7,3,4,5,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,1,4,7,2,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,7,2,4,8,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,3,1,8,5,2,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,8,4,5,6,2,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[8,2,5,3,1,7,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,5,8,1,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,8,6,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,5,2,3,8,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,1,4,8,3,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[5,7,6,1,2,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,2,8,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,3,8,2,4,6,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[5,4,1,8,6,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,8,3,5,7,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,2,8,4,1,3,6,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[5,8,1,2,4,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,5,3,7,4,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,6,2,8,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,8,1,2,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,8,5,3,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,2,6,8,7,4,3,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,6,2,8,7,4,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,4,2,3,5,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,4,8,5,2,3,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,6,8,7,5,3,2,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,2,5,7,4,3,8,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,4,2,6,8,7,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,8,6,3,2,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,7,4,6,3,2,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,3,2,8,5,4,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,3,8,6,4,2,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,3,7,5,4,2,8,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[3,8,2,7,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,8,6,7,1,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[2,7,3,6,8,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,7,2,8,1,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,6,5,8,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,2,4,1,6,7,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,3,6,7,2,8,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[5,3,6,7,2,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,1,3,7,4,2]=>{{1,2,4,6,7,8},{3,5}}=>6
[3,7,5,6,4,8,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,6,1,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,8,6,7,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,4,6,8,5,3,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[2,5,4,6,8,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,4,7,8,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,3,8,7,1,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,4,8,6,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,5,8,6,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,7,6,8,2,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[8,1,4,7,2,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,8,5,2,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,6,3,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,1,3,7,2,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,4,7,6,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,7,2,4,3,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,6,3,2,8,5,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,2,8,5,6,7,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,2,1,4,7,5,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[7,8,6,1,2,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,4,7,8,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,1,6,7,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,2,7,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,1,6,2,7,3,4,5]=>{{1,2,4,5,7,8},{3,6}}=>6
[8,1,7,2,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,1,6,7,5,2,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,3,1,2,6,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,7,3,8,4,5,6,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[5,1,7,2,6,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,1,8,2,6,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,3,7,4,5,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[2,4,8,6,3,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,1,5,8,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,7,1,6,5,8,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[5,4,7,8,1,3,2,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[2,6,5,7,1,8,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,6,5,1,2,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,1,4,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,5,2,4,3,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,4,5,1,3,2,6,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[4,3,7,5,2,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,1,5,2,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,6,1,8,5,4,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,6,2,3,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,2,1,4,3,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,4,7,5,8,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,4,2,5,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,1,7,8,4,5,6,3]=>{{1,2},{3,4,5,6,7,8}}=>6
[7,6,5,3,1,2,8,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,4,1,6,2,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,3,1,7,8,4,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[3,1,8,6,7,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,8,6,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,3,5,1,6,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,4,8,5,6,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,2,7,6,1,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,3,7,6,2,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,7,1,3,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,5,1,4,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,6,5,8,4,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,8,2,3,4,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,3,5,2,4,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,7,8,4,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,5,3,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,6,3,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,5,8,7,4,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,1,3,6,8,2,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,6,7,5,8,2,4,1]=>{{1,3,4,5,7,8},{2,6}}=>6
[1,7,4,5,2,8,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,4,2,1,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,4,2,8,5,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,2,1,7,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,6,8,5,4,1,3,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[7,8,6,3,1,5,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,1,6,7,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,4,1,2,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,7,1,4,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,5,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,1,2,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,1,8,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,2,3,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,5,1,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,2,3,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,2,1,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,6,1,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,5,2,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,8,4,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,6,8,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,7,4,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,8,6,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,4,1,7,3,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,8,3,7,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,8,4,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,3,7,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,8,7,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,2,7,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,8,5,1,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,3,6,5,1,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,3,1,2,6,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,6,4,7,1,2,8,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,5,4,2,6,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,2,6,8,7,4,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,3,7,5,1,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,2,8,7,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,3,6,8,1,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,7,2,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,8,3,2,4,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[8,5,1,7,2,4,3,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,4,1,7,3,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,6,2,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,2,8,4,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,3,5,7,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,7,8,3,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,2,5,1,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,4,6,5,8,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,6,7,8,3,5,1]=>{{1,2,4,5,7,8},{3,6}}=>6
[1,4,2,6,8,5,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,8,3,5,4,2,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,5,8,7,6,3,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,7,6,3,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,7,5,2,4,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,4,7,5,2,6,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,3,6,4,8,7,5,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,3,7,6,4,2,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,4,6,3,2,7,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,4,6,3,2,8,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[6,4,7,1,5,3,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,8,2,6,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,1,4,8,2,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,5,7,1,4,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,1,2,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,2,4,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,3,8,4,2,1]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,4,1,8,2,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,8,7,3,4,5,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,7,8,4,5,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,8,6,2,3,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,2,1,8,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,3,7,2,8,6,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[3,2,6,7,8,4,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,7,4,5,1,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,1,8,4,3,7,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,6,7,2,5,4,3]=>{{1,2,3,5,6,8},{4,7}}=>6
[7,5,2,3,6,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,7,6,5,2,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,7,2,5,8,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,5,3,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,6,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,8,7,4,5,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,8,7,1,6,3,2,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,8,2,7,5,3,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,3,8,2,5,4,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,6,8,7,2,3,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,2,4,8,3,6,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,7,3,2,6,4,8,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,8,4,2,3,6,5,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,4,2,7,5,3,8,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,8,4,7,3,2,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,4,8,3,2,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,8,3,2,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,2,1,6,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,1,5,4,8,2,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[7,6,3,2,1,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,8,7,3,4,6,1,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,5,1,3,7,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,3,4,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,3,4,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,1,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,3,7,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,7,3,8,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,1,3,2,4,7,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,2,1,3,4,7,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,5,8,7,3,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,4,1,6,5,2,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,4,8,5,7,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,7,3,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,5,8,2,1,7,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[3,2,5,8,7,1,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,8,5,3,6,7,1,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[2,7,1,3,6,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,8,6,3,2,5,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,8,3,7,6,4,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,7,2,6,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,2,1,4,3,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,1,6,3,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,5,7,4,8,6,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,3,8,7,4,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,3,1,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,5,3,8,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,5,4,8,1,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[5,3,7,1,2,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[6,3,8,7,2,5,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,8,4,1,7,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,6,7,5,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,1,4,7,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,4,8,1,2,7,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,2,4,6,1,7,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,7,6,3,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,6,4,8,1,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,4,1,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,2,6,5,7,1,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,1,4,8,2,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,7,8,3,5,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,4,1,7,3,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,6,8,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,5,8,6,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,8,6,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,3,7,2,1,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,7,3,6,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,7,5,6,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,6,3,8,2,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[2,6,3,5,7,8,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,5,6,3,7,2,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,5,3,6,2,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,7,3,4,2,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,8,3,4,2,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,4,5,3,7,2,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,5,3,8,2,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,7,5,4,2,8,6,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[5,1,6,8,3,7,2,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,2,8,1,7,4,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,2,5,6,8,7,3,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[3,7,6,1,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[1,3,7,2,6,4,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,8,6,7,3,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,2,5,8,6,7,4,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[7,6,1,2,3,5,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,8,7,5,2,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,7,5,1,2,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,2,4,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,8,3,6,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,6,3,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,6,1,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,4,8,3,1,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,3,1,6,7,4,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[7,2,5,1,6,8,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,1,7,4,8,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,7,5,8,2,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,4,5,7,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,8,6,3,7,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,4,1,8,6,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,2,1,8,7,3,6]=>{{1,4},{2,3,5,6,7,8}}=>6
[6,3,7,1,2,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,7,8,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,7,2,4,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[4,1,5,6,8,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,4,5,2,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,5,4,1,8,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,6,5,2,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,7,2,4,3,5,8,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[3,8,1,7,4,2,6,5]=>{{1,3},{2,4,5,6,7,8}}=>6
[2,8,3,1,4,7,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,7,3,1,8,4,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,8,1,3,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,5,2,8,6,4,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,7,8,5,2,1,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,2,8,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,3,5,7,4,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,1,8,5,4,7,2,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[3,1,6,4,8,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,4,2,1,8,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,7,1,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,1,3,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,1,8,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,1,6,7,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,4,1,6,5,8,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,5,4,1,6,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,1,6,4,7,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,6,2,3,5,7,8,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,3,4,8,5,2,6,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,5,7,2,3,6,8,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,3,1,4,2,5,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,2,5,7,8,4,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,2,6,1,5,4,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,8,1,7,6,3,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,5,1,7,4,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,3,1,7,2,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,1,4,8,3,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,8,1,7,6,5,2,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,8,7,4,6,1,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,4,7,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,8,3,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,4,3,8,7,2,6,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[7,4,1,3,6,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,6,8,3,1,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,2,4,8,3,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,2,6,3,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,5,3,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,6,1,3,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,1,2,3,6,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[2,1,6,7,4,8,3,5]=>{{1,2},{3,4,5,6,7,8}}=>6
[7,8,1,3,6,4,5,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,2,6,8,4,5,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,6,8,5,1,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,7,8,1,6,3,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[7,8,3,1,6,2,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,7,5,8,2,4,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,2,8,1,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,2,6,5,1,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[7,8,1,6,3,5,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,7,8,2,5,4,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,1,6,2,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,6,8,3,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,1,6,8,5,4,3,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,6,8,1,2,3,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,6,1,2,8,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,8,4,2,1,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,6,2,5,7,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,6,4,5,2,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[6,1,3,7,2,8,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,4,3,6,7,2,5]=>{{1,2,5,6,7,8},{3,4}}=>6
[8,1,5,2,6,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,1,4,2,7,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,3,7,6,1,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,1,7,6,5,2,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,2,1,5,6,3,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,3,1,8,6,2,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,5,2,8,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,6,1,8,7,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,8,3,2,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,7,6,3,1,8,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,1,8,6,3,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,4,2,8,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[8,3,1,6,4,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,4,2,7,5,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,1,7,5,3,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,2,8,7,6,4,3,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,1,8,7,6,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,2,6,3,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,5,3,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,5,7,1,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,1,6,8,5,7,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,1,8,5,7,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,8,7,4,2,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[2,6,8,5,7,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,8,7,6,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,6,3,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,3,4,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,3,1,2,8,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,2,8,1,7,5,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,6,2,7,8,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,5,6,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,1,3,7,8,2,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,2,1,6,8,3,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,6,4,1,8,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,3,1,8,5,4,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[5,1,2,6,4,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,2,3,7,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,2,8,6,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,7,5,3,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,3,2,5,8,4,1,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,3,8,5,2,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,5,1,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,2,5,8,4,7,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,5,8,1,3,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,6,1,2,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,1,7,8,3,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,2,8,6,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,4,2,8,7,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[3,7,2,6,8,4,5,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,4,6,2,7,8,3,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,5,7,8,1,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,2,7,8,4,5,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[1,8,2,7,3,5,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,3,5,7,4,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[8,1,2,6,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,1,5,2,7,8,4]=>{{1,3},{2,4,5,6,7,8}}=>6
[8,1,2,6,3,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,4,2,8,5,1,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,3,8,7,1,2,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,4,5,7,6,2,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[6,3,4,8,7,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,3,1,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,7,8,5,1,4,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[3,5,8,7,4,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,1,4,5,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,5,7,8,6,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,8,2,1,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[3,7,6,8,2,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,8,7,3,1,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[6,1,5,3,8,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,5,1,4,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,3,4,5,6,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,2,6,5,8,4,1,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,2,6,5,8,7,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,2,6,4,8,7,1,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[4,3,6,2,8,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,6,8,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,6,8,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,2,8,6,1,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,2,7,6,8,3,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,2,7,5,8,4,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,7,1,3,2,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,6,4,1,5,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,8,5,2,6,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,2,5,3,7,8,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,3,6,2,4,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[7,5,6,2,3,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,5,7,6,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,6,3,8,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,8,3,1,5,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,5,8,1,3,2,6,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,7,2,8,3,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,5,8,6,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,6,2,8,4,7,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,8,6,4,2,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[7,5,3,8,6,4,2,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,1,3,8,6,4,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,5,8,3,6,4,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,8,3,6,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,8,2,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,4,6,5,7,2,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[8,1,7,5,4,2,6,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,7,3,1,4,8,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,3,1,5,8,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>6
[1,7,2,5,6,8,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,7,6,8,3,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,7,1,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,3,8,4,5,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,2,7,1,3,6,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,5,1,7,6,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,2,1,8,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,5,6,8,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[2,5,3,6,7,8,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,3,4,7,5,8,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,5,2,8,6,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,6,3,7,5,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,6,7,2,5,3,1,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,6,2,7,8,4,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,6,2,7,5,4,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,6,8,2,7,5,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,6,3,2,8,1,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,1,7,4,3,8,6,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,3,7,2,4,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,7,8,6,4,2,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,2,8,6,4,1,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,7,6,4,3,2,8,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,7,6,3,4,2,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,2,7,6,3,5,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[3,2,7,5,6,1,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,5,6,1,4,3,8,2]=>{{1,2,4,5,7,8},{3,6}}=>6
[7,2,8,1,6,3,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,3,6,5,4,1,2,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[1,7,5,8,4,6,3,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,1,4,2,3,8,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,5,3,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[8,6,5,2,4,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,8,5,2,4,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,2,8,6,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,2,5,1,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,2,7,8,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,2,5,8,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,5,1,2,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,2,7,8,1,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,6,7,8,2,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[8,6,3,2,1,7,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,5,7,6,8,2,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,1,3,8,4,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[2,6,1,4,3,7,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,3,7,6,1,8,4,2]=>{{1,5},{2,3,4,6,7,8}}=>6
[1,5,6,3,7,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,7,6,3,8,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,3,5,6,1,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,8,6,3,5,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,5,1,3,8,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,1,3,8,2,5,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,7,6,1,3,8,2,4]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,7,6,3,8,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,2,6,5,1,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[6,5,2,3,7,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,2,1,8,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,7,3,2,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,5,2,7,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,2,7,8,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,8,1,4,5,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,1,4,7,3,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,6,3,1,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,3,7,2,8,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[3,7,8,1,6,4,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[5,7,1,8,6,4,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[1,3,5,8,6,4,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,5,7,8,6,4,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,2,6,5,3,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[8,6,1,5,2,3,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,1,6,2,3,4,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,6,1,2,3,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,2,3,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,3,5,6,7,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,2,5,3,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,7,4,6,5,1,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,8,7,5,2,1,4,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[2,8,6,3,5,1,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,6,4,8,5,7,3,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,6,8,5,2,7,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,8,1,6,4,2,5,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,1,7,8,6,2,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,1,2,5,7,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,3,5,1,7,8,6,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[1,5,8,2,3,4,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,2,7,8,4,5,6,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,3,8,7,6,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,1,7,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,2,1,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,7,6,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,4,2,3,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,5,8,2,3,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,8,1,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,8,3,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,6,8,4,7,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,8,6,3,2,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,1,6,3,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,7,3,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,5,2,4,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,1,7,2,5,8,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,8,7,6,3,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,8,2,5,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[6,8,7,3,2,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,6,4,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,2,6,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,2,7,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,1,6,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,8,7,1,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,7,6,2,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,5,3,1,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,3,1,7,6,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,1,6,3,2,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,5,4,1,3,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,4,8,5,6,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,8,7,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,6,5,7,2,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,6,4,5,2,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,4,7,6,3,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,7,5,1,4,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,7,3,6,4,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,2,4,7,8,6,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[5,2,7,4,3,8,6,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,2,3,7,4,5,8,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[1,6,3,2,7,5,8,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[7,3,5,2,6,8,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[2,5,3,6,4,7,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,2,5,3,6,7,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,6,5,2,4,7,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,5,4,2,7,3,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,5,4,2,8,7,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,8,6,5,2,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,4,7,3,2,8,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,6,5,2,4,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,2,6,5,3,8,4,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[7,3,2,6,1,5,8,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,8,5,2,7,1,4,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,5,8,2,7,4,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,1,7,6,5,8,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,2,3,6,7,8,1,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[2,4,3,6,7,8,1,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,2,1,4,3,5,8,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[6,1,2,4,3,7,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,5,4,2,3,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,1,2,4,6,3,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,1,2,6,5,3,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,5,6,1,2,4,8,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[7,1,4,5,2,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,6,7,5,8,3,4,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,1,2,3,7,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,1,2,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,3,1,2,4,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,3,1,2,4,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,1,2,4,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,7,8,5,1,2,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[4,3,8,5,6,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,8,6,7,2,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,3,8,1,7,2,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,3,6,7,5,1,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,6,8,2,3,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,1,3,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,1,6,4,8,2,7]=>{{1,3},{2,4,5,6,7,8}}=>6
[3,5,8,6,2,1,4,7]=>{{1,3,4,6,7,8},{2,5}}=>6
[2,8,5,3,1,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,7,2,4,6,3,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,8,7,4,6,3,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,3,4,1,2,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,4,1,3,2,5,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,8,6,4,7,2,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,3,5,6,4,7,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[6,7,1,4,3,2,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,6,7,3,2,8,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,6,5,3,1,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,5,7,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,7,1,6,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,5,7,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,5,2,7,6,1,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,2,6,3,7,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,5,7,1,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,1,6,5,3,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,2,6,3,7,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,5,2,7,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,5,2,1,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,5,8,2,1,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,2,1,4,6,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,8,2,4,6,3,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,8,1,4,6,2,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,8,4,6,7,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,4,6,7,2,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,8,6,2,1,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,2,4,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,3,6,7,2,1,4,5]=>{{1,2,3,5,6,8},{4,7}}=>6
[1,8,4,6,7,5,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,7,1,6,3,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,1,4,7,3,6,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[1,6,2,5,8,4,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[5,6,8,2,4,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,2,8,6,4,7,3,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[2,6,8,1,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,2,5,6,8,1,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,3,6,2,1,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,2,1,5,3,4,8,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,7,2,3,1,4,8,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[7,1,5,2,4,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,2,7,3,5,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[4,5,8,7,3,1,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,8,7,6,4,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,5,1,7,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,6,4,7,5,2,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[2,7,4,6,3,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,6,3,7,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,3,1,6,2,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,1,5,8,7,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,4,2,1,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,2,8,4,3,1,6,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[5,1,8,4,3,2,6,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,5,7,8,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,3,7,4,8,1,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[6,1,3,7,4,5,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,2,8,6,4,3,5,7]=>{{1},{2},{3,4,5,6,7,8}}=>6
[7,3,5,1,4,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,7,3,5,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[4,6,8,3,7,1,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[7,5,4,1,3,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,6,7,2,5,1,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,5,7,1,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,1,6,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,6,5,1,3,2,7]=>{{1,2,4,5,7,8},{3,6}}=>6
[1,3,8,4,7,5,2,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[3,8,6,4,7,2,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,8,6,3,7,2,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,2,1,6,7,8,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,5,6,3,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,8,4,6,2,5,7]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,8,4,2,3,7,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,8,5,7,4,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,1,2,3,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,3,2,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[8,6,5,1,7,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,4,2,1,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[8,4,2,7,5,3,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,5,7,6,4,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,6,8,2,5,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,5,2,6,8,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[5,8,2,1,3,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,8,3,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,2,8,3,5,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[3,7,6,5,2,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,7,8,6,2,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,1,4,6,2,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,1,4,7,8,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,3,5,6,8,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,1,2,7,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,1,2,5,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[3,1,4,5,8,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,7,8,1,3,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,4,1,6,7,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,1,2,7,8,5,4]=>{{1,2,3,4,6,8},{5,7}}=>6
[8,2,7,5,3,4,1,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,3,1,2,8,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,2,6,3,1,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[1,2,5,7,8,3,6,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[8,4,6,2,3,7,1,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[4,5,6,2,7,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,2,7,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,2,3,1,4,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[5,7,2,1,3,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,4,7,5,6,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,6,2,8,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[4,7,6,5,2,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,8,6,7,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,4,1,6,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,3,6,4,1,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,1,5,6,4,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,7,6,4,2,8,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,1,5,3,7,8,6,4]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,1,4,7,6,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,3,7,4,1,8,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[2,8,7,1,4,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,1,3,4,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,4,2,5,7,8,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[8,3,5,1,4,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,8,2,1,7,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,7,2,1,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,4,7,3,8,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,4,1,3,8,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,6,8,4,3,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[3,5,2,4,7,8,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,5,6,3,8,2,1,4]=>{{1,7},{2,3,4,5,6,8}}=>6
[1,6,2,7,4,5,8,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,4,2,6,1,5,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,5,1,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,2,7,6,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,1,2,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,6,2,1,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,1,6,2,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,8,7,4,2,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,4,5,7,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,1,3,5,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,3,1,6,4,7,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,1,4,8,3,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,2,6,3,7,8,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,6,3,7,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,7,5,8,1,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,6,8,4,5,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[2,6,8,7,3,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,8,6,2,5,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,6,4,1,2,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,1,5,6,2,4,3,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,4,5,1,2,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,6,4,1,3,7,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,2,6,7,8,4,5,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[7,3,4,5,1,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,2,5,7,4,8,1]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,3,2,5,1,7,8,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,6,7,1,8,4,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,1,6,5,3,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[5,8,2,7,6,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,7,6,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,8,4,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[3,4,2,8,1,7,6,5]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,4,5,8,1,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,6,8,1,4,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,6,5,2,8,7,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,3,4,8,6,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,1,3,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,8,3,5,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,3,5,4,8,7,2,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,5,2,8,6,4,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[5,1,6,7,4,2,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,5,4,6,2,8,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[5,8,4,1,6,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,8,1,2,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,1,8,3,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,8,2,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,1,8,3,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,4,2,1,8,6,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[8,6,5,7,2,4,3,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,4,6,1,8,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,3,8,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,3,6,2,1,5]=>{{1,7},{2,3,4,5,6,8}}=>6
[8,4,6,2,7,1,3,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,8,4,2,7,1,3,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[6,8,2,4,1,7,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,5,2,3,8,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,2,3,1,7,8,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[5,7,2,3,4,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,2,3,1,7,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,3,8,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,5,2,1,4,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,2,3,1,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,6,2,3,1,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,3,8,1,7,5,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[5,1,3,2,6,7,8,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,7,3,4,5,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,8,4,5,2,1,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,7,5,1,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,1,3,6,7,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,5,2,6,1,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,2,7,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,2,7,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,3,6,4,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,5,2,8,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,7,4,2,8,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,4,8,2,3,5,6,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,6,2,8,7,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,3,5,2,7,8,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,1,5,7,4,6,8,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,2,5,8,6,1,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,3,1,4,6,7,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,6,7,1,3,5,8,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,6,2,1,3,7,8,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[6,5,7,3,1,4,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[3,1,6,7,8,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,6,2,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,6,2,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,2,7,8,3,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[5,1,8,3,4,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,8,2,3,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,8,2,5,1,6]=>{{1,7},{2,3,4,5,6,8}}=>6
[3,5,4,8,7,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,3,7,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,6,3,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,2,1,8,3,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,8,1,3,2,7,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,3,5,8,1,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,5,6,3,8,7,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,3,2,6,8,7,1,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[8,5,2,6,7,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,8,7,1,4,2,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[6,4,5,3,1,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,4,7,6,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,1,4,5,2,7,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,1,5,8,2,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,3,6,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,7,8,4,1,3,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,6,3,7,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,6,8,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,5,6,3,8,1,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,3,4,6,8,5,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,8,3,4,1,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,7,6,8,3,1,2,5]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,6,5,2,7,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,8,5,7,3,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,7,1,3,2,6,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[1,3,5,6,8,7,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,7,5,4,1,6,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,1,5,7,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,3,4,1,6,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,7,8,2,4,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,4,2,7,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,6,4,7,8,5,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,8,4,1,7,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,2,5,8,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,8,2,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,5,7,8,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,7,4,3,5,2,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[2,4,5,8,1,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,1,5,8,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,3,5,6,1,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,3,7,5,8,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,8,5,6,1,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,5,8,1,4,6,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,7,5,8,1,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,5,8,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,7,3,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[3,7,8,4,2,1,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,5,4,7,6,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,4,5,8,1,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,6,8,4,2,7,1,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,5,1,7,2,8,4]=>{{1,3,4,5,7,8},{2,6}}=>6
[7,4,1,6,2,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,6,8,2,4,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[1,6,7,4,3,8,2,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[7,3,1,6,5,2,8,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,2,8,5,1,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,6,2,1,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,7,3,6,5,2,4]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,8,1,6,3,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,1,6,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,7,3,2,4,8,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,8,5,4,3,1,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,7,8,3,6,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,1,8,5,3,2,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,6,1,2,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,1,2,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,7,6,2,1,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,6,1,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,5,4,7,2,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[6,7,2,5,4,8,1,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[6,1,8,2,4,3,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,8,2,5,3,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[2,5,6,4,3,8,1,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,7,3,5,1,4,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,6,3,5,2,1,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,2,7,6,5,1,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[1,7,8,6,3,2,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,6,7,1,4,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,7,4,8,5,6,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[5,8,2,7,4,6,3,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,8,5,1,6,4,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,7,5,1,6,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,3,1,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,4,6,3,7,5,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[7,3,1,8,4,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,5,4,1,7,8,3]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,5,1,6,3,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,8,7,2,5,6,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,5,4,1,8,3,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,1,4,8,3,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>6
[1,5,3,7,6,4,8,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,8,2,4,7,3,6,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[3,8,6,2,7,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,1,6,2,5,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,4,2,5,7,3,6]=>{{1},{2,3,4,6,7,8},{5}}=>6
[5,8,3,1,2,4,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,5,4,2,8,3,7,6]=>{{1},{2,3,4,5,6,8},{7}}=>6
[8,7,1,3,2,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,8,7,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,5,2,8,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,3,2,7,5,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,1,7,3,5,8,2,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,4,8,7,3,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,8,5,7,4,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,6,4,8,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,3,2,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[3,8,6,7,2,5,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[6,3,1,8,2,4,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,3,7,8,1,5,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,1,8,4,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,1,4,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,8,3,1,2,5,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,8,6,4,7,1,2,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,5,1,8,7,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,7,6,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,6,1,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,6,7,4,5,8,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,5,2,8,7,1,4,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[2,6,1,3,8,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,1,8,3,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,4,2,7,3,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,4,8,2,1,7,3,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[2,8,6,4,1,5,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,6,1,2,4,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,4,5,1,3,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[8,5,1,2,7,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,8,7,2,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,8,4,7,3,2,5]=>{{1},{2,3,5,6,7,8},{4}}=>6
[4,5,7,2,6,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,5,7,8,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,5,3,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,4,7,8,3,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,6,2,5,8,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[1,5,3,6,8,2,4,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,8,1,2,6,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,6,2,3,7,5,8,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,2,6,5,7,8,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,8,4,2,7,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,1,4,7,3,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,1,8,3,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,2,1,3,7,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,7,6,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,6,3,7,5,8,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[3,1,5,4,6,7,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,4,2,1,3,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[1,7,5,3,2,4,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,6,2,3,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,6,2,8,1,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,1,8,7,5,2,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,5,6,8,7,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,8,1,3,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,5,8,2,6,1,4,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,4,6,7,3,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,3,6,8,5,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,8,5,3,2,4,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,7,5,3,4,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,1,7,8,4,2,3,6]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,7,8,3,4,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,4,5,6,1,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[6,5,8,3,4,2,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,6,1,4,8,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,6,8,1,4,2,3,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[2,4,3,7,8,5,6,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,6,7,2,3,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,6,5,7,8,1,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,1,5,8,4,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,6,8,5,7,2,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[2,8,5,1,6,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,5,1,2,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,5,7,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,6,3,5,2,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,6,2,5,3,8,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,2,1,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,3,6,7,2,1]=>{{1,2,5,6,7,8},{3,4}}=>6
[6,8,2,1,5,3,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,3,8,6,7,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,2,6,5,1,8,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,5,8,1,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,8,1,6,7,3,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,1,8,4,6,7,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,3,7,1,6,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,6,5,7,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,2,3,6,8,1,5,4]=>{{1,4,5,6,7,8},{2},{3}}=>6
[6,3,8,7,2,1,5,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,2,8,6,3,1,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,2,3,6,8,5,4,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[7,2,5,4,8,3,6,1]=>{{1,3,5,6,7,8},{2},{4}}=>6
[7,2,8,3,6,1,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,5,2,8,3,6,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,4,5,3,8,1,2,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,2,4,6,3,8,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,8,3,7,6,1,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,7,2,5,8,6,4,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,6,5,3,8,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,4,8,7,6,1,5,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,2,6,5,1,4,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,8,6,5,7,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,1,7,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,5,2,6,8,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,5,6,7,2,4,8,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,5,7,6,8,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,7,2,6,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,7,6,8,4,1]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,4,5,7,2,6,8,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,5,7,2,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,7,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,4,7,2,8,6,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[3,2,5,7,4,8,6,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,5,7,8,4,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,5,6,7,3,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,6,1,4,3,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,1,8,4,3,5,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,1,6,4,8,2,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,1,4,2,5,3,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,8,4,1,5,3,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,1,3,5,2,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,1,8,3,5,2,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,3,1,2,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,1,8,2,5,4,6,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,5,8,2,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,5,2,8,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[5,8,7,2,4,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,2,8,6,7,3,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[5,1,7,6,8,2,3,4]=>{{1,2,4,5,6,8},{3,7}}=>6
[7,1,6,2,4,5,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,1,6,2,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,6,8,7,1,3,2,4]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,6,1,5,7,2,8,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,1,6,5,2,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,5,2,7,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,2,3,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[1,7,3,2,4,8,6,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[3,1,8,2,6,5,4,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[7,1,6,2,4,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,1,4,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,1,3,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,1,8,5,3,4,6,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[8,4,1,3,2,5,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,1,2,3,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,1,5,2,4,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,6,3,1,5,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,8,4,1,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,3,8,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,6,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,8,1,4,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,7,4,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,2,3,5,8,4,7]=>{{1},{2,3,4,6,7,8},{5}}=>6
[4,6,5,7,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,8,6,4,7,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[8,4,1,3,6,7,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,5,3,8,4,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[5,3,4,8,1,7,2,6]=>{{1,5},{2,3,4,6,7,8}}=>6
[4,3,5,8,1,7,6,2]=>{{1,2,3,4,5,8},{6,7}}=>6
[3,6,5,4,8,1,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,3,6,5,8,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,5,2,6,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,5,3,6,1,4,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,1,2,4,7,8,3,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,4,6,5,7,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,2,1,7,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,7,8,6,4,5,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[4,8,1,2,6,5,3,7]=>{{1,2,3,4,7,8},{5,6}}=>6
[6,4,8,1,2,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,4,1,3,6,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,6,1,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,2,8,5,1,4,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,4,7,5,8,6,2,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[8,5,7,6,3,4,1,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[7,5,2,6,1,4,8,3]=>{{1,2,3,5,7,8},{4,6}}=>6
[6,4,5,3,1,7,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,6,4,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,3,4,1,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,3,5,8,7,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,3,7,8,1,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,7,4,5,8,3,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,5,6,3,1,4,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[2,3,7,8,1,5,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,5,8,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,5,1,4,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,8,5,4,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,4,7,8,1,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,1,2,3,6,4]=>{{1,3,4,6,7,8},{2,5}}=>6
[5,1,4,8,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,3,8,2,7,4,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,3,2,8,1,7,5,6]=>{{1,4,5,6,7,8},{2,3}}=>6
[7,5,4,1,6,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,3,5,2,4,8,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,6,7,3,1,5,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,5,1,8,7,3,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,5,2,4,7,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,8,1,4,2,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,4,7,3,1,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,6,8,3,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,4,8,1,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,7,8,1,4,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,2,8,7,3,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,1,2,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,1,2,6,8,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,2,7,4,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,7,4,5,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,4,5,1,7,3,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,4,3,7,1,5,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,3,7,1,4,5,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,3,6,1,2,5,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,7,2,3,6,1,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,7,1,3,4,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,2,4,7,3,1,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,2,7,6,3,1,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,5,7,2,6,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,7,3,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,1,5,3,7,6,4]=>{{1,2,3,4,5,8},{6,7}}=>6
[2,3,8,4,7,1,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,4,7,6,2,3,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,8,2,3,7,6,4,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,3,5,6,4,8,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,4,8,5,6,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,6,2,5,4,8,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[5,6,1,7,4,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,6,4,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,1,4,3,7,5,8,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[3,7,4,5,2,8,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,4,6,1,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,3,5,4,6,1,2,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,7,4,5,2,6,8,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[3,1,5,8,4,6,2,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,2,6,3,4,1,5,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,6,5,8,2,1,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,8,5,7,2,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,2,7,4,6,1,8,5]=>{{1,3,5,6,7,8},{2},{4}}=>6
[3,6,7,2,4,1,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,2,8,6,1,5,7]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,7,1,8,4,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,7,6,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,6,3,1,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,5,3,4,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,4,5,1,2,7,6,3]=>{{1,2,3,4,5,8},{6,7}}=>6
[7,5,2,4,1,3,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,6,4,5,8,3,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,2,8,1,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,8,7,4,2,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,3,7,2,6,4,5,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,7,3,2,8,5,6,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,6,5,2,4,8,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,3,8,4,2,5,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,6,2,4,7,5,8,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[1,5,8,2,3,6,4,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[6,4,1,5,7,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,2,7,3,8,5,6,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[7,4,1,6,3,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,7,4,3,8,6,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[2,7,3,1,4,5,8,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,5,6,7,3,4,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,6,7,8,2,4,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,8,3,2,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,2,3,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,3,8,7,5,2,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,6,7,2,1,5,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,1,3,8,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,2,5,6,1,3,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,3,5,4,7,1,8,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,3,8,2,7,4,5,1]=>{{1,2,3,4,6,8},{5,7}}=>6
[5,8,1,7,2,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[2,6,4,7,1,8,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,5,3,7,6,2,4]=>{{1},{2,3,4,5,7,8},{6}}=>6
[6,1,4,2,7,8,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,3,7,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,2,4,7,1,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[5,1,3,2,6,8,4,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,4,3,7,6,2,8,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,5,7,3,6,4,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[3,7,2,8,4,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,4,1,7,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,6,3,1,8,4,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,6,4,7,1,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,5,3,2,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,5,4,6,2,7,1,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[2,5,7,3,4,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,8,5,6,1,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,5,6,8,7,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,5,1,2,4,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,7,6,2,8,5,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,6,8,3,2,4,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,2,5,3,7,4,8,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,6,5,8,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,4,8,2,6,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,3,6,8,4,5,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[2,6,7,4,8,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[2,5,8,6,4,3,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,4,2,5,7,1,8,3]=>{{1,6},{2,3,4,5,7,8}}=>6
[8,3,7,2,4,5,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[2,5,7,4,6,8,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,6,8,5,2,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,5,2,8,6,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,6,4,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,2,3,6,8,5,1,7]=>{{1,4,5,6,7,8},{2},{3}}=>6
[6,4,1,3,7,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,3,2,5,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,4,8,5,7,2,3,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,7,3,2,4,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,6,2,7,3,4,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,2,7,3,4,5,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[5,6,3,2,8,7,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,1,6,7,8,3,2,4]=>{{1,2,4,5,7,8},{3,6}}=>6
[1,5,6,3,7,2,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,5,6,7,4,2,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[5,1,6,7,3,4,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,6,1,7,3,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,2,3,1,6,7]=>{{1,2,4,6,7,8},{3,5}}=>6
[5,4,8,3,1,2,6,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[8,4,7,3,2,5,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[6,8,5,1,7,3,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[8,4,2,6,7,1,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[6,3,7,5,1,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,8,4,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,4,3,6,8,5,2,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[8,5,7,1,4,2,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,7,1,6,3,8,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,6,7,2,5,8,4,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,4,3,7,8,1,6,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,6,2,4,7,8,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,6,2,8,3,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,7,4,8,1,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,2,4,8,6,7,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,4,7,8,6,5,1,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[5,8,6,1,7,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,4,3,8,2,6,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[3,7,8,6,1,4,5,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[4,6,7,8,2,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,3,8,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,5,6,2,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,6,7,8,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,7,3,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,8,6,2,1,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,8,6,2,1,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,1,8,2,4,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,7,6,2,5,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,4,7,5,2,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,1,6,7,8,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,6,4,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,5,3,2,7,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,4,8,1,3,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,5,3,1,7,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,5,3,1,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,8,7,2,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,6,4,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,5,1,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,2,6,7,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,6,3,8,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,4,1,8,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,8,3,2,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,4,2,8,1,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,4,8,7,1,2,5]=>{{1,6},{2,3,4,5,7,8}}=>6
[2,7,4,8,1,6,3,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,7,8,6,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,8,1,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,6,8,2,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,8,5,6,4,2,3,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,4,8,5,7,3,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,5,1,8,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[2,7,1,5,3,8,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,2,1,4,8,6,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[2,5,8,1,6,7,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,8,3,4,5,1,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[4,5,7,2,8,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,6,2,7,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[5,4,2,7,1,8,6,3]=>{{1,5},{2,3,4,6,7,8}}=>6
[2,3,6,7,1,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,8,7,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,8,5,1,2,4,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,1,2,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[3,5,8,1,4,2,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,8,5,7,1,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,1,4,2,3,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,1,2,7,8,4,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,8,1,2,5,3,4,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,5,2,6,1,8,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,6,7,3,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,4,1,7,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,4,8,3,2,6,5,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,3,8,4,2,7,5,6]=>{{1},{2,3,5,6,7,8},{4}}=>6
[8,1,3,2,7,5,4,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,4,1,6,7,3,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[4,8,6,3,5,2,1,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,6,3,2,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,6,8,2,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,6,3,7,2,4,8,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[7,1,6,5,4,2,8,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[7,1,8,4,2,3,6,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,6,8,1,5,7,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,8,3,1,6,7,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,7,8,3,5,1,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[6,5,2,7,8,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,6,5,8,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,5,2,6,8,7,3,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,3,4,7,2,1,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,2,3,7,6,1,8,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[6,1,5,7,3,8,2,4]=>{{1,2,4,6,7,8},{3,5}}=>6
[7,3,1,5,6,8,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,1,6,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,2,5,8,6,3,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[5,8,1,2,4,6,3,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,1,7,3,6,4,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,2,8,7,3,4,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,6,8,4,5,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,4,8,3,5,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,2,4,8,3,1,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,5,3,7,6,2,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,4,8,7,3,5,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,8,3,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,7,1,2,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,7,2,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,1,3,4,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,5,1,4,2,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,8,7,5,4,2,1,3]=>{{1,2,3,6,7,8},{4,5}}=>6
[8,7,5,4,6,1,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,7,8,2,4,6,3,5]=>{{1},{2,3,4,5,7,8},{6}}=>6
[7,5,4,8,1,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,8,4,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,7,5,1,6,8,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,4,2,7,3,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[1,8,5,3,2,7,4,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,4,7,2,3,5,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,2,8,1,7,5,4,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,1,5,6,2,3,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,6,8,2,7,3,4,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,2,6,7,8,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[3,7,8,2,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,1,8,2,4,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[4,8,1,5,6,2,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,1,7,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,8,2,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,8,5,4,2,1,6]=>{{1,2,3,6,7,8},{4,5}}=>6
[1,7,4,5,6,8,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,2,4,5,6,8,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,7,4,5,6,8,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,8,3,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,4,5,8,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,3,5,6,8,2,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[1,4,6,5,8,2,7,3]=>{{1},{2,3,4,5,6,8},{7}}=>6
[4,6,1,7,3,2,8,5]=>{{1,3,4,5,7,8},{2,6}}=>6
[1,7,3,6,4,2,8,5]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,8,3,5,2,1,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,6,8,4,7,5,3,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
[4,7,1,6,8,2,3,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[7,1,8,2,4,5,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,8,2,3,4,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,3,8,7,1,4,6]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,7,1,3,2,6,4,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,5,1,2,3,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[8,6,2,1,3,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,7,8,2,1,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,2,1,5,6,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,3,8,6,1,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,3,5,8,4,1,2,7]=>{{1,6},{2,3,4,5,7,8}}=>6
[7,8,6,2,1,4,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,8,4,7,1,3,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[7,3,1,2,8,6,5,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,2,4,6,1,8,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,2,7,8,3,5,4,6]=>{{1},{2},{3,4,5,6,7,8}}=>6
[1,2,7,8,3,4,6,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[6,5,1,8,3,4,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,5,6,1,3,4,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,5,3,8,1,7,6]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,8,7,3,5,2,6,4]=>{{1},{2,3,4,6,7,8},{5}}=>6
[5,6,2,8,4,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,7,2,4,8,5,1,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,7,3,2,8,5,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,5,8,3,4,6,2,7]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,4,7,6,2,3,8,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,4,6,7,2,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,1,6,4,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,6,3,2,8,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,8,4,1,5,7,2,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,2,6,7,4,1,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,8,2,6,3,1,7,4]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,1,4,6,2,5,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,5,8,3,4,7,2,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,1,3,7,2,8,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[4,8,7,2,5,3,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,4,5,1,2,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,3,2,1,7,5,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,1,7,4,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,8,7,3,6,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,3,7,1,2,6]=>{{1,2,5,6,7,8},{3,4}}=>6
[4,8,3,7,6,1,2,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,5,7,8,4,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,5,3,2,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,1,8,7,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,7,8,6,5,2,3]=>{{1,2,3,4,7,8},{5,6}}=>6
[4,5,2,6,7,8,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,6,2,3,8,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,2,3,8,6,4,5,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[1,3,7,5,8,4,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,8,1,2,7,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,4,2,6,7,5,3,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[7,2,1,6,4,3,8,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,4,8,7,2,3,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,6,5,2,7,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,6,2,7,4,3,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,5,8,7,3,6,2,1]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,5,1,3,7,6,4,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,6,7,5,8,4,2,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[7,4,2,8,6,5,3,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[5,8,7,3,2,1,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,7,2,6,4,3,1]=>{{1,2,4,5,6,8},{3,7}}=>6
[7,2,5,6,8,3,4,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,6,5,7,8,3,2,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,6,7,2,3,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[7,3,6,4,2,1,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,8,5,2,7,3,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,3,1,8,5,2,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,3,2,1,8,5,6,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[5,7,1,3,2,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[7,1,6,3,2,8,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,6,4,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,7,1,3,2,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,2,7,6,3,5,4]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,7,6,2,3,1,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,7,6,1,3,2,8,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[7,6,3,1,8,5,2,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,2,1,3,6,8,5,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,1,4,6,3,2,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,4,5,8,6,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,7,2,3,8,4,1,5]=>{{1,2,3,4,6,7},{5,8}}=>6
[2,7,8,1,5,4,3,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,1,5,2,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,6,7,5,2,1,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,5,2,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,5,3,6,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,5,4,8,3,2,6,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,6,3,1,7,8,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,1,7,8,3,5,4,6]=>{{1,2},{3,4,5,6,7,8}}=>6
[3,7,8,2,5,4,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,7,6,5,8,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,5,7,8,6,3,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,6,7,1,5,4,8,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,6,4,7,5,8,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,1,7,3,2,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,7,2,8,6,3]=>{{1,3,4,6,7,8},{2,5}}=>6
[4,7,1,8,5,3,6,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,5,1,6,4,3,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,3,5,2,7,1,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,5,2,1,6,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,7,2,8,5,4,6,3]=>{{1},{2,3,4,6,7,8},{5}}=>6
[6,7,1,4,8,5,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,1,7,3,2,8,5,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[4,3,7,8,6,1,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,1,5,2,4,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[3,1,6,7,2,8,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,1,6,8,4,5,2]=>{{1,2,3,5,7,8},{4,6}}=>6
[8,5,1,4,6,7,3,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,4,7,5,6,8,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,8,5,2,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,8,7,3,6,4,2,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,7,5,8,2,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,2,5,6,3,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,5,8,2,6,3,4,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,1,5,6,4,8,3,7]=>{{1,2},{3,4,5,6,7,8}}=>6
[5,1,4,7,8,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,6,7,2,8,5,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,3,2,1,7,8,6,4]=>{{1,4,5,6,7,8},{2,3}}=>6
[4,8,7,2,6,1,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[6,3,1,8,2,7,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,6,2,8,4,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,2,1,3,6,4,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,4,6,1,8,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,3,8,7,4,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,3,5,7,4,2,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[7,1,2,6,4,3,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[7,8,5,6,2,4,3,1]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,3,8,6,2,4,1,7]=>{{1,2,3,5,7,8},{4,6}}=>6
[5,4,7,8,6,2,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,4,8,3,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,1,3,7,4,6,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,5,8,2,3,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,8,2,3,6,4,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,8,2,3,4,6]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,2,4,1,3,7,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,1,6,2,3,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,7,2,5,3,8,1,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[2,4,7,6,3,8,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,7,1,3,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,7,6,1,8,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,8,5,3,2,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,6,7,4,8,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[2,6,1,5,3,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[3,8,7,5,4,2,6,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[2,8,7,3,1,4,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,2,4,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,6,7,5,4,2,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,8,5,1,4,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,4,7,6,3,1,2,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,5,3,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,6,3,1,5,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[3,1,6,5,2,4,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[2,5,3,8,6,4,1,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,5,1,6,4,3,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[4,6,5,8,1,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,1,6,8,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,1,8,6,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,5,8,7,3,1,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,8,7,2,6,1,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,5,1,6,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,8,6,1,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,6,5,7,1,3,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,2,3,5,6,8,4,1]=>{{1,4,5,6,7,8},{2},{3}}=>6
[8,7,5,6,4,1,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,3,1,4,5,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[5,3,4,7,8,1,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,1,2,7,3,5,4,6]=>{{1,2,3,5,6,8},{4,7}}=>6
[4,8,1,2,3,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,4,7,5,1,3,2,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,4,1,6,2,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,5,4,7,1,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[1,4,8,3,6,2,7,5]=>{{1},{2,3,4,5,6,8},{7}}=>6
[3,6,2,5,7,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,1,5,8,6,4,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[7,2,4,1,6,8,5,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,1,8,5,7,4,2,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[6,1,8,5,4,7,3,2]=>{{1,2,3,6,7,8},{4,5}}=>6
[5,1,6,8,7,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,5,3,1,8,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,6,7,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,7,2,1,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,8,6,3,5,1,2]=>{{1,7},{2,3,4,5,6,8}}=>6
[6,3,7,1,4,2,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[3,4,6,7,8,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,5,6,7,3,8,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,4,6,2,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,1,7,6,2,8,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[2,6,5,3,8,4,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[2,6,5,3,7,4,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,3,2,8,4,1,6]=>{{1,2,4,5,6,7,8},{3}}=>7
[2,6,8,1,7,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,6,5,3,8,2,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[3,1,6,8,7,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,7,6,3,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[8,7,2,3,1,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,5,7,6,1,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,7,2,6,4,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,7,2,1,6,4,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,4,7,6,2,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,7,1,6,4,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,1,7,3,6,5,2]=>{{1,2,3,4,5,7,8},{6}}=>7
[4,5,1,8,7,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[3,8,5,2,6,7,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,8,5,2,6,1,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[5,7,4,1,2,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,7,4,5,1,3,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,2,5,3,1,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[8,4,7,3,1,2,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,4,3,6,1,8,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[4,6,8,5,3,1,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,7,2,3,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,4,2,8,5,6,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,5,2,4,6,1,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,4,7,2,1,3,8,5]=>{{1,3,5,6,7,8},{2,4}}=>6
[3,1,8,7,6,2,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,4,6,8,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,3,8,6,2,4,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,5,2,6,4,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[5,3,4,7,6,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,1,8,5,7,2,6,3]=>{{1,2,4,5,6,7},{3,8}}=>6
[7,6,8,2,4,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,4,6,8,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,5,1,6,4,8,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,4,8,5,7,6,3,2]=>{{1},{2,3,4,5,7,8},{6}}=>6
[3,7,2,8,1,5,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,3,2,8,1,4,6,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[3,5,1,7,6,4,8,2]=>{{1,3},{2,4,5,6,7,8}}=>6
[8,7,4,2,1,6,5,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,5,2,8,7,1,6,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[4,5,2,6,7,3,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,7,1,4,3,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,6,7,2,1,3,5,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,1,7,2,4,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,6,1,5,2,8,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,1,5,4,2,7,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,6,1,5,2,7,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,2,7,5,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,4,1,7,2,8,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[8,1,6,3,4,2,5,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,6,2,5,8,1,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[1,6,4,5,7,3,2,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,7,5,6,4,8,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[8,2,1,4,3,7,5,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[7,6,8,2,1,5,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,6,8,3,2,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,6,1,3,8,2,7]=>{{1,4},{2,3,5,6,7,8}}=>6
[6,3,5,7,4,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,1,6,4,7,3,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,1,8,7,4,5,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,5,8,6,4,3,7,2]=>{{1},{2,3,4,5,6,8},{7}}=>6
[2,6,1,8,4,7,5,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,2,1,4,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,7,5,1,3,4,2]=>{{1,3,4,5,6,7},{2,8}}=>6
[7,8,6,4,2,5,3,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,6,7,5,8,2,1,3]=>{{1,3,4,5,7,8},{2,6}}=>6
[1,2,5,3,7,8,6,4]=>{{1},{2},{3,4,5,6,7,8}}=>6
[2,8,5,3,1,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,2,3,7,1,8,4]=>{{1,6},{2,3,4,5,7,8}}=>6
[4,2,7,5,6,8,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[6,8,2,5,4,7,3,1]=>{{1,2,3,6,7,8},{4,5}}=>6
[5,6,4,2,8,7,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,7,1,2,3,8,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,7,3,8,4,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,7,2,3,4,6,5]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,8,3,7,6,2,5,4]=>{{1},{2,4,5,6,7,8},{3}}=>6
[2,5,7,6,3,8,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,2,1,5,3,7,8,4]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,8,4,2,1,3,6,7]=>{{1,5},{2,3,4,6,7,8}}=>6
[1,7,5,8,4,3,6,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,8,1,6,4,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,1,8,5,6,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,1,2,7,4,8,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,5,1,8,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,4,7,6,8,1,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[3,1,5,7,4,8,6,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,1,7,3,6,2]=>{{1,4},{2,3,5,6,7,8}}=>6
[4,7,1,6,8,5,2,3]=>{{1,3,4,5,6,8},{2,7}}=>6
[1,7,3,8,2,5,4,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[5,3,1,8,6,7,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,6,3,2,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,4,8,2,3,5,7]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,5,6,4,1,7,3]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,4,7,3,5,8,6,2]=>{{1},{2,3,4,6,7,8},{5}}=>6
[3,7,8,2,5,1,6,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,3,8,2,4,1,5,6]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,7,8,1,2,5,4]=>{{1,2,3,5,6,7},{4,8}}=>6
[7,6,1,5,2,3,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,1,8,6,7,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,1,6,8,2,3,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,4,2,1,7,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[6,3,2,8,1,7,4,5]=>{{1,4,5,6,7,8},{2,3}}=>6
[6,4,1,3,7,8,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[5,7,4,8,3,1,2,6]=>{{1,3,4,5,6,8},{2,7}}=>6
[4,5,1,7,8,6,2,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,8,7,4,3,5,2,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,7,5,3,4,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,6,5,3,2,7,4,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,6,8,7,4,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,4,7,5,3,2,6,8]=>{{1},{2,3,4,5,6,7},{8}}=>6
[1,4,7,5,3,2,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[1,7,4,6,8,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,8,7,2,3,5,4,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,1,8,2,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,6,5,7,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[2,7,8,5,1,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,1,6,2,5,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[7,5,2,1,8,4,3,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,4,8,3,5,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,6,1,3,5,7,4,2]=>{{1,2,3,4,6,7,8},{5}}=>7
[7,1,5,8,2,3,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[3,6,8,5,1,4,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,2,4,1,6,8,3,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,3,1,4,6,2,8,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,4,1,3,6,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,2,4,7,8,5,6,3]=>{{1},{2},{3,4,5,6,7,8}}=>6
[8,3,6,5,7,4,2,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,4,7,1,5,2,6,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,1,8,4,2,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[6,1,5,4,7,3,8,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,8,2,3,1,7,4,5]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,7,3,1,4,5,6]=>{{1,3,4,5,6,7,8},{2}}=>7
[8,6,7,4,1,3,5,2]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,5,4,6,1,2,8,7]=>{{1,2,3,4,5,6},{7,8}}=>6
[5,7,6,3,4,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,2,3,5,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,4,8,7,2,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[1,8,5,6,2,3,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[4,5,8,3,6,1,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[6,3,1,8,7,4,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[5,7,1,3,6,2,4,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[5,7,1,3,6,2,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[6,8,2,5,7,3,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,8,6,3,4,7,2,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,5,1,7,8,2,3]=>{{1,4},{2,3,5,6,7,8}}=>6
[3,6,5,1,8,2,4,7]=>{{1,3,4,5,7,8},{2,6}}=>6
[5,8,7,3,4,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,2,3,7,4,6,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[6,3,1,5,4,8,2,7]=>{{1,2,3,6,7,8},{4,5}}=>6
[4,7,6,3,5,2,8,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,8,2,3,4,7,6,1]=>{{1,2,3,4,5,8},{6,7}}=>6
[8,3,1,4,7,5,2,6]=>{{1,2,3,5,6,7,8},{4}}=>7
[5,3,1,6,4,8,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[4,3,8,7,1,6,2,5]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,5,3,8,4,7,2,6]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,7,2,3,6,5,8,1]=>{{1,2,3,4,7,8},{5,6}}=>6
[3,8,2,6,4,7,1,5]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,5,8,6,2,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[6,5,1,7,4,8,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,3,5,1,4,8,2]=>{{1,2,4,5,6,7,8},{3}}=>7
[6,5,4,1,7,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[8,3,6,1,7,4,5,2]=>{{1,2,3,4,6,8},{5,7}}=>6
[5,1,4,3,7,8,6,2]=>{{1,2,5,6,7,8},{3,4}}=>6
[5,7,6,3,4,2,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[4,3,6,1,2,7,8,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[5,8,3,6,7,2,4,1]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,1,6,2,5,7,4,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,7,1,5,3,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,8,6,2,4,7,5,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,3,6,8,2,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,2,5,3,8,4,6]=>{{1,2,3,4,5,7},{6,8}}=>6
[3,7,4,2,5,1,8,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[5,3,7,8,4,2,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,6,8,1,5,4,2]=>{{1,2,3,4,5,6,7,8}}=>8
[6,5,8,2,3,4,1,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,7,2,4,8,5,6,3]=>{{1},{2,3,5,6,7,8},{4}}=>6
[5,8,2,3,7,4,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,2,3,5,4,6,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,1,3,2,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[1,7,6,8,4,5,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,7,3,1,8,5,6,4]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,1,8,6,4,2,3,5]=>{{1,2,3,4,5,6,7,8}}=>8
[4,1,3,5,8,2,6,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[1,4,7,6,8,3,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[5,7,1,6,4,2,3,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[2,8,4,6,7,1,5,3]=>{{1,2,3,4,6,8},{5,7}}=>6
[1,7,5,2,4,3,8,6]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,8,5,1,4,3,6,7]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,2,3,7,5,1,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,6,2,8,4,5,1,3]=>{{1,7},{2,3,4,5,6,8}}=>6
[4,1,7,5,6,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,6,2,1,4,5,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,4,8,7,6,3,5,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,6,7,5,2,3,1,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[1,6,4,5,8,7,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,6,5,3,8,7,1,2]=>{{1,2,3,4,5,6,7,8}}=>8
[2,8,4,7,5,3,1,6]=>{{1,2,3,4,6,7,8},{5}}=>7
[4,8,6,2,5,7,1,3]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,1,5,3,2,7,4,6]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,7,6,2,5,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[6,4,5,8,1,7,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,4,7,6,1,8,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[1,6,2,3,8,5,7,4]=>{{1},{2,3,4,5,6,8},{7}}=>6
[3,4,2,6,8,5,7,1]=>{{1,2,3,4,5,6,8},{7}}=>7
[1,6,8,5,7,4,3,2]=>{{1},{2,3,4,5,6,7,8}}=>7
[2,3,8,1,4,6,5,7]=>{{1,2,3,4,5,7,8},{6}}=>7
[3,6,2,4,7,5,8,1]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,8,4,6,2,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[4,2,7,8,6,3,1,5]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,6,3,5,8,7,4,2]=>{{1},{2,4,5,6,7,8},{3}}=>6
[2,4,5,7,1,6,8,3]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,1,4,8,2,3,7,5]=>{{1,2,3,4,5,6,8},{7}}=>7
[7,6,2,3,5,8,4,1]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,5,7,8,6,4,1,3]=>{{1,2,3,4,5,6,7,8}}=>8
[8,5,6,2,3,7,4,1]=>{{1,8},{2,3,4,5,6,7}}=>6
[8,1,5,3,7,4,2,6]=>{{1,2,3,4,5,6,7,8}}=>8
[1,2,4,8,6,7,3,5]=>{{1},{2},{3,4,5,6,7,8}}=>6
[8,1,2,6,5,7,3,4]=>{{1,2,3,4,6,7,8},{5}}=>7
[2,6,1,4,7,5,8,3]=>{{1,2,3,5,6,7,8},{4}}=>7
[3,1,7,5,2,6,8,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[8,1,4,3,6,2,5,7]=>{{1,2,5,6,7,8},{3,4}}=>6
[5,2,1,3,8,4,6,7]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,4,3,5,8,2,6,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[6,5,1,3,8,2,4,7]=>{{1,2,3,4,5,6,7,8}}=>8
[1,4,3,8,6,2,5,7]=>{{1},{2,4,5,6,7,8},{3}}=>6
[4,1,3,8,6,2,5,7]=>{{1,2,4,5,6,7,8},{3}}=>7
[3,5,6,7,1,8,4,2]=>{{1,2,3,5,6,8},{4,7}}=>6
[3,7,6,1,4,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[4,6,7,1,3,8,2,5]=>{{1,4},{2,3,5,6,7,8}}=>6
[2,6,3,1,4,7,8,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[8,6,4,5,1,3,7,2]=>{{1,2,3,4,5,6,8},{7}}=>7
[8,5,4,7,6,1,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[2,3,7,8,1,4,6,5]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,3,8,2,4,6,5]=>{{1,2,4,5,6,7,8},{3}}=>7
[7,2,3,6,4,1,8,5]=>{{1,4,5,6,7,8},{2},{3}}=>6
[6,5,2,4,1,8,3,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[6,2,5,4,1,8,3,7]=>{{1,3,5,6,7,8},{2},{4}}=>6
[7,4,2,6,8,5,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,4,1,2,8,5,6,3]=>{{1,3,5,6,7,8},{2,4}}=>6
[6,4,1,8,5,2,3,7]=>{{1,2,3,4,6,7,8},{5}}=>7
[8,4,1,6,3,5,2,7]=>{{1,2,3,4,5,6,7,8}}=>8
[7,3,4,1,6,8,5,2]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,6,8,3,4,5,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[5,8,6,1,2,4,3,7]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,2,1,6,8,4,3]=>{{1,2,3,4,5,6,7,8}}=>8
[4,3,5,7,8,2,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,7,6,3,2,1,8,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,5,1,6,8,3,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[5,3,1,7,6,8,2,4]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,5,3,2,4,8,6]=>{{1,2,3,4,5,6,7,8}}=>8
[7,1,5,2,4,3,6,8]=>{{1,2,3,4,5,6,7},{8}}=>7
[6,5,8,3,7,1,4,2]=>{{1,6},{2,3,4,5,7,8}}=>6
[8,1,2,4,6,3,5,7]=>{{1,2,3,5,6,7,8},{4}}=>7
[8,2,5,4,1,7,3,6]=>{{1,3,5,6,7,8},{2},{4}}=>6
[8,1,7,6,4,2,3,5]=>{{1,2,4,5,6,8},{3,7}}=>6
[7,6,4,2,3,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,8,7,3,2,5,6,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,4,2,6,8,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[6,4,8,7,3,2,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[5,6,2,8,7,4,3,1]=>{{1,2,3,4,5,6,7,8}}=>8
[3,7,5,6,4,2,8,1]=>{{1,2,3,4,5,6,7,8}}=>8
[7,8,2,6,4,3,5,1]=>{{1,2,3,4,5,6,7,8}}=>8
[4,5,8,7,2,3,6,1]=>{{1,3,4,6,7,8},{2,5}}=>6
[8,3,6,5,2,7,1,4]=>{{1,2,3,4,5,6,7,8}}=>8
[8,3,1,4,6,7,2,5]=>{{1,2,3,5,6,7,8},{4}}=>7
[7,8,5,1,2,6,3,4]=>{{1,2,3,4,5,7,8},{6}}=>7
[6,4,5,1,8,7,3,2]=>{{1,2,3,4,5,6,7,8}}=>8
[8,2,6,5,1,7,4,3]=>{{1,3,4,5,6,7,8},{2}}=>7
[1,8,5,2,7,6,4,3]=>{{1},{2,3,4,5,7,8},{6}}=>6
[1,7,6,8,2,5,4,3]=>{{1},{2,3,4,5,6,7,8}}=>7
[4,6,5,7,1,8,2,3]=>{{1,2,3,4,5,6,7,8}}=>8
[7,2,5,6,4,8,3,1]=>{{1,3,4,5,6,7,8},{2}}=>7
[7,4,6,2,8,5,3,1]=>{{1,3,5,6,7,8},{2,4}}=>6
[1,3,7,4,6,8,5,2]=>{{1},{2,3,5,6,7,8},{4}}=>6
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Description
The maximal size of a block of a set partition.
Map
to cycle type
Description
Let π=c1…cr a permutation of size n decomposed in its cyclic parts. The associated set partition of [n] then is S=S1∪⋯∪Sr such that Si is the set of integers in the cycle ci.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
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