=>

[1]=>[[1]]=>1 [1,2]=>[[1,2]]=>2 [2,1]=>[[1],[2]]=>1 [1,2,3]=>[[1,2,3]]=>3 [1,3,2]=>[[1,2],[3]]=>2 [2,1,3]=>[[1,3],[2]]=>2 [2,3,1]=>[[1,3],[2]]=>2 [3,1,2]=>[[1,2],[3]]=>2 [3,2,1]=>[[1],[2],[3]]=>1 [1,2,3,4]=>[[1,2,3,4]]=>4 [1,2,4,3]=>[[1,2,3],[4]]=>3 [1,3,2,4]=>[[1,2,4],[3]]=>3 [1,3,4,2]=>[[1,2,4],[3]]=>3 [1,4,2,3]=>[[1,2,3],[4]]=>3 [1,4,3,2]=>[[1,2],[3],[4]]=>2 [2,1,3,4]=>[[1,3,4],[2]]=>3 [2,1,4,3]=>[[1,3],[2,4]]=>2 [2,3,1,4]=>[[1,3,4],[2]]=>3 [2,3,4,1]=>[[1,3,4],[2]]=>3 [2,4,1,3]=>[[1,3],[2,4]]=>2 [2,4,3,1]=>[[1,3],[2],[4]]=>2 [3,1,2,4]=>[[1,2,4],[3]]=>3 [3,1,4,2]=>[[1,2],[3,4]]=>3 [3,2,1,4]=>[[1,4],[2],[3]]=>2 [3,2,4,1]=>[[1,4],[2],[3]]=>2 [3,4,1,2]=>[[1,2],[3,4]]=>3 [3,4,2,1]=>[[1,4],[2],[3]]=>2 [4,1,2,3]=>[[1,2,3],[4]]=>3 [4,1,3,2]=>[[1,2],[3],[4]]=>2 [4,2,1,3]=>[[1,3],[2],[4]]=>2 [4,2,3,1]=>[[1,3],[2],[4]]=>2 [4,3,1,2]=>[[1,2],[3],[4]]=>2 [4,3,2,1]=>[[1],[2],[3],[4]]=>1 [1,2,3,4,5]=>[[1,2,3,4,5]]=>5 [1,2,3,5,4]=>[[1,2,3,4],[5]]=>4 [1,2,4,3,5]=>[[1,2,3,5],[4]]=>4 [1,2,4,5,3]=>[[1,2,3,5],[4]]=>4 [1,2,5,3,4]=>[[1,2,3,4],[5]]=>4 [1,2,5,4,3]=>[[1,2,3],[4],[5]]=>3 [1,3,2,4,5]=>[[1,2,4,5],[3]]=>4 [1,3,2,5,4]=>[[1,2,4],[3,5]]=>3 [1,3,4,2,5]=>[[1,2,4,5],[3]]=>4 [1,3,4,5,2]=>[[1,2,4,5],[3]]=>4 [1,3,5,2,4]=>[[1,2,4],[3,5]]=>3 [1,3,5,4,2]=>[[1,2,4],[3],[5]]=>3 [1,4,2,3,5]=>[[1,2,3,5],[4]]=>4 [1,4,2,5,3]=>[[1,2,3],[4,5]]=>4 [1,4,3,2,5]=>[[1,2,5],[3],[4]]=>3 [1,4,3,5,2]=>[[1,2,5],[3],[4]]=>3 [1,4,5,2,3]=>[[1,2,3],[4,5]]=>4 [1,4,5,3,2]=>[[1,2,5],[3],[4]]=>3 [1,5,2,3,4]=>[[1,2,3,4],[5]]=>4 [1,5,2,4,3]=>[[1,2,3],[4],[5]]=>3 [1,5,3,2,4]=>[[1,2,4],[3],[5]]=>3 [1,5,3,4,2]=>[[1,2,4],[3],[5]]=>3 [1,5,4,2,3]=>[[1,2,3],[4],[5]]=>3 [1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>2 [2,1,3,4,5]=>[[1,3,4,5],[2]]=>4 [2,1,3,5,4]=>[[1,3,4],[2,5]]=>3 [2,1,4,3,5]=>[[1,3,5],[2,4]]=>3 [2,1,4,5,3]=>[[1,3,5],[2,4]]=>3 [2,1,5,3,4]=>[[1,3,4],[2,5]]=>3 [2,1,5,4,3]=>[[1,3],[2,4],[5]]=>2 [2,3,1,4,5]=>[[1,3,4,5],[2]]=>4 [2,3,1,5,4]=>[[1,3,4],[2,5]]=>3 [2,3,4,1,5]=>[[1,3,4,5],[2]]=>4 [2,3,4,5,1]=>[[1,3,4,5],[2]]=>4 [2,3,5,1,4]=>[[1,3,4],[2,5]]=>3 [2,3,5,4,1]=>[[1,3,4],[2],[5]]=>3 [2,4,1,3,5]=>[[1,3,5],[2,4]]=>3 [2,4,1,5,3]=>[[1,3,5],[2,4]]=>3 [2,4,3,1,5]=>[[1,3,5],[2],[4]]=>3 [2,4,3,5,1]=>[[1,3,5],[2],[4]]=>3 [2,4,5,1,3]=>[[1,3,5],[2,4]]=>3 [2,4,5,3,1]=>[[1,3,5],[2],[4]]=>3 [2,5,1,3,4]=>[[1,3,4],[2,5]]=>3 [2,5,1,4,3]=>[[1,3],[2,4],[5]]=>2 [2,5,3,1,4]=>[[1,3,4],[2],[5]]=>3 [2,5,3,4,1]=>[[1,3,4],[2],[5]]=>3 [2,5,4,1,3]=>[[1,3],[2,4],[5]]=>2 [2,5,4,3,1]=>[[1,3],[2],[4],[5]]=>2 [3,1,2,4,5]=>[[1,2,4,5],[3]]=>4 [3,1,2,5,4]=>[[1,2,4],[3,5]]=>3 [3,1,4,2,5]=>[[1,2,5],[3,4]]=>4 [3,1,4,5,2]=>[[1,2,5],[3,4]]=>4 [3,1,5,2,4]=>[[1,2,4],[3,5]]=>3 [3,1,5,4,2]=>[[1,2],[3,4],[5]]=>3 [3,2,1,4,5]=>[[1,4,5],[2],[3]]=>3 [3,2,1,5,4]=>[[1,4],[2,5],[3]]=>2 [3,2,4,1,5]=>[[1,4,5],[2],[3]]=>3 [3,2,4,5,1]=>[[1,4,5],[2],[3]]=>3 [3,2,5,1,4]=>[[1,4],[2,5],[3]]=>2 [3,2,5,4,1]=>[[1,4],[2,5],[3]]=>2 [3,4,1,2,5]=>[[1,2,5],[3,4]]=>4 [3,4,1,5,2]=>[[1,2,5],[3,4]]=>4 [3,4,2,1,5]=>[[1,4,5],[2],[3]]=>3 [3,4,2,5,1]=>[[1,4,5],[2],[3]]=>3 [3,4,5,1,2]=>[[1,2,5],[3,4]]=>4 [3,4,5,2,1]=>[[1,4,5],[2],[3]]=>3 [3,5,1,2,4]=>[[1,2,4],[3,5]]=>3 [3,5,1,4,2]=>[[1,2],[3,4],[5]]=>3 [3,5,2,1,4]=>[[1,4],[2,5],[3]]=>2 [3,5,2,4,1]=>[[1,4],[2,5],[3]]=>2 [3,5,4,1,2]=>[[1,2],[3,4],[5]]=>3 [3,5,4,2,1]=>[[1,4],[2],[3],[5]]=>2 [4,1,2,3,5]=>[[1,2,3,5],[4]]=>4 [4,1,2,5,3]=>[[1,2,3],[4,5]]=>4 [4,1,3,2,5]=>[[1,2,5],[3],[4]]=>3 [4,1,3,5,2]=>[[1,2,5],[3],[4]]=>3 [4,1,5,2,3]=>[[1,2,3],[4,5]]=>4 [4,1,5,3,2]=>[[1,2],[3,5],[4]]=>3 [4,2,1,3,5]=>[[1,3,5],[2],[4]]=>3 [4,2,1,5,3]=>[[1,3],[2,5],[4]]=>3 [4,2,3,1,5]=>[[1,3,5],[2],[4]]=>3 [4,2,3,5,1]=>[[1,3,5],[2],[4]]=>3 [4,2,5,1,3]=>[[1,3],[2,5],[4]]=>3 [4,2,5,3,1]=>[[1,3],[2,5],[4]]=>3 [4,3,1,2,5]=>[[1,2,5],[3],[4]]=>3 [4,3,1,5,2]=>[[1,2],[3,5],[4]]=>3 [4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>2 [4,3,2,5,1]=>[[1,5],[2],[3],[4]]=>2 [4,3,5,1,2]=>[[1,2],[3,5],[4]]=>3 [4,3,5,2,1]=>[[1,5],[2],[3],[4]]=>2 [4,5,1,2,3]=>[[1,2,3],[4,5]]=>4 [4,5,1,3,2]=>[[1,2],[3,5],[4]]=>3 [4,5,2,1,3]=>[[1,3],[2,5],[4]]=>3 [4,5,2,3,1]=>[[1,3],[2,5],[4]]=>3 [4,5,3,1,2]=>[[1,2],[3,5],[4]]=>3 [4,5,3,2,1]=>[[1,5],[2],[3],[4]]=>2 [5,1,2,3,4]=>[[1,2,3,4],[5]]=>4 [5,1,2,4,3]=>[[1,2,3],[4],[5]]=>3 [5,1,3,2,4]=>[[1,2,4],[3],[5]]=>3 [5,1,3,4,2]=>[[1,2,4],[3],[5]]=>3 [5,1,4,2,3]=>[[1,2,3],[4],[5]]=>3 [5,1,4,3,2]=>[[1,2],[3],[4],[5]]=>2 [5,2,1,3,4]=>[[1,3,4],[2],[5]]=>3 [5,2,1,4,3]=>[[1,3],[2,4],[5]]=>2 [5,2,3,1,4]=>[[1,3,4],[2],[5]]=>3 [5,2,3,4,1]=>[[1,3,4],[2],[5]]=>3 [5,2,4,1,3]=>[[1,3],[2,4],[5]]=>2 [5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>2 [5,3,1,2,4]=>[[1,2,4],[3],[5]]=>3 [5,3,1,4,2]=>[[1,2],[3,4],[5]]=>3 [5,3,2,1,4]=>[[1,4],[2],[3],[5]]=>2 [5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>2 [5,3,4,1,2]=>[[1,2],[3,4],[5]]=>3 [5,3,4,2,1]=>[[1,4],[2],[3],[5]]=>2 [5,4,1,2,3]=>[[1,2,3],[4],[5]]=>3 [5,4,1,3,2]=>[[1,2],[3],[4],[5]]=>2 [5,4,2,1,3]=>[[1,3],[2],[4],[5]]=>2 [5,4,2,3,1]=>[[1,3],[2],[4],[5]]=>2 [5,4,3,1,2]=>[[1,2],[3],[4],[5]]=>2 [5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>1 [1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>6 [1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>5 [1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>5 [1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]=>5 [1,2,3,6,4,5]=>[[1,2,3,4,5],[6]]=>5 [1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>4 [1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>5 [1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>4 [1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]=>5 [1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]=>5 [1,2,4,6,3,5]=>[[1,2,3,5],[4,6]]=>4 [1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]=>4 [1,2,5,3,4,6]=>[[1,2,3,4,6],[5]]=>5 [1,2,5,3,6,4]=>[[1,2,3,4],[5,6]]=>5 [1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>4 [1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]=>4 [1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>5 [1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]=>4 [1,2,6,3,4,5]=>[[1,2,3,4,5],[6]]=>5 [1,2,6,3,5,4]=>[[1,2,3,4],[5],[6]]=>4 [1,2,6,4,3,5]=>[[1,2,3,5],[4],[6]]=>4 [1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>4 [1,2,6,5,3,4]=>[[1,2,3,4],[5],[6]]=>4 [1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>3 [1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>5 [1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>4 [1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>4 [1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]=>4 [1,3,2,6,4,5]=>[[1,2,4,5],[3,6]]=>4 [1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>3 [1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]=>5 [1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]=>4 [1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]=>5 [1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]=>5 [1,3,4,6,2,5]=>[[1,2,4,5],[3,6]]=>4 [1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]=>4 [1,3,5,2,4,6]=>[[1,2,4,6],[3,5]]=>4 [1,3,5,2,6,4]=>[[1,2,4,6],[3,5]]=>4 [1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]=>4 [1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]=>4 [1,3,5,6,2,4]=>[[1,2,4,6],[3,5]]=>4 [1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]=>4 [1,3,6,2,4,5]=>[[1,2,4,5],[3,6]]=>4 [1,3,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>3 [1,3,6,4,2,5]=>[[1,2,4,5],[3],[6]]=>4 [1,3,6,4,5,2]=>[[1,2,4,5],[3],[6]]=>4 [1,3,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>3 [1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]=>3 [1,4,2,3,5,6]=>[[1,2,3,5,6],[4]]=>5 [1,4,2,3,6,5]=>[[1,2,3,5],[4,6]]=>4 [1,4,2,5,3,6]=>[[1,2,3,6],[4,5]]=>5 [1,4,2,5,6,3]=>[[1,2,3,6],[4,5]]=>5 [1,4,2,6,3,5]=>[[1,2,3,5],[4,6]]=>4 [1,4,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>4 [1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>4 [1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>3 [1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>4 [1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>4 [1,4,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>3 [1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>3 [1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>5 [1,4,5,2,6,3]=>[[1,2,3,6],[4,5]]=>5 [1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]=>4 [1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]=>4 [1,4,5,6,2,3]=>[[1,2,3,6],[4,5]]=>5 [1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]=>4 [1,4,6,2,3,5]=>[[1,2,3,5],[4,6]]=>4 [1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>4 [1,4,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>3 [1,4,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>3 [1,4,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>4 [1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]=>3 [1,5,2,3,4,6]=>[[1,2,3,4,6],[5]]=>5 [1,5,2,3,6,4]=>[[1,2,3,4],[5,6]]=>5 [1,5,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>4 [1,5,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>4 [1,5,2,6,3,4]=>[[1,2,3,4],[5,6]]=>5 [1,5,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>4 [1,5,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>4 [1,5,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>4 [1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>4 [1,5,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>4 [1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>4 [1,5,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>4 [1,5,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>4 [1,5,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>4 [1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>3 [1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>3 [1,5,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>4 [1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>3 [1,5,6,2,3,4]=>[[1,2,3,4],[5,6]]=>5 [1,5,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>4 [1,5,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>4 [1,5,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>4 [1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>4 [1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]=>3 [1,6,2,3,4,5]=>[[1,2,3,4,5],[6]]=>5 [1,6,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>4 [1,6,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>4 [1,6,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>4 [1,6,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>4 [1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>3 [1,6,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>4 [1,6,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>3 [1,6,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>4 [1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>4 [1,6,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>3 [1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>3 [1,6,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>4 [1,6,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>4 [1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>3 [1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>3 [1,6,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>4 [1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>3 [1,6,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>4 [1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>3 [1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>3 [1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>3 [1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>3 [1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>2 [2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>5 [2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>4 [2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>4 [2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]=>4 [2,1,3,6,4,5]=>[[1,3,4,5],[2,6]]=>4 [2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>3 [2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>4 [2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>3 [2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]=>4 [2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]=>4 [2,1,4,6,3,5]=>[[1,3,5],[2,4,6]]=>3 [2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]=>3 [2,1,5,3,4,6]=>[[1,3,4,6],[2,5]]=>4 [2,1,5,3,6,4]=>[[1,3,4],[2,5,6]]=>4 [2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>3 [2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]=>3 [2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>4 [2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]=>3 [2,1,6,3,4,5]=>[[1,3,4,5],[2,6]]=>4 [2,1,6,3,5,4]=>[[1,3,4],[2,5],[6]]=>3 [2,1,6,4,3,5]=>[[1,3,5],[2,4],[6]]=>3 [2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>3 [2,1,6,5,3,4]=>[[1,3,4],[2,5],[6]]=>3 [2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>2 [2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]=>5 [2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]=>4 [2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]=>4 [2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]=>4 [2,3,1,6,4,5]=>[[1,3,4,5],[2,6]]=>4 [2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]=>3 [2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]=>5 [2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]=>4 [2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]=>5 [2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]=>5 [2,3,4,6,1,5]=>[[1,3,4,5],[2,6]]=>4 [2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]=>4 [2,3,5,1,4,6]=>[[1,3,4,6],[2,5]]=>4 [2,3,5,1,6,4]=>[[1,3,4,6],[2,5]]=>4 [2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]=>4 [2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]=>4 [2,3,5,6,1,4]=>[[1,3,4,6],[2,5]]=>4 [2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]=>4 [2,3,6,1,4,5]=>[[1,3,4,5],[2,6]]=>4 [2,3,6,1,5,4]=>[[1,3,4],[2,5],[6]]=>3 [2,3,6,4,1,5]=>[[1,3,4,5],[2],[6]]=>4 [2,3,6,4,5,1]=>[[1,3,4,5],[2],[6]]=>4 [2,3,6,5,1,4]=>[[1,3,4],[2,5],[6]]=>3 [2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]=>3 [2,4,1,3,5,6]=>[[1,3,5,6],[2,4]]=>4 [2,4,1,3,6,5]=>[[1,3,5],[2,4,6]]=>3 [2,4,1,5,3,6]=>[[1,3,5,6],[2,4]]=>4 [2,4,1,5,6,3]=>[[1,3,5,6],[2,4]]=>4 [2,4,1,6,3,5]=>[[1,3,5],[2,4,6]]=>3 [2,4,1,6,5,3]=>[[1,3,5],[2,4],[6]]=>3 [2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>4 [2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>3 [2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>4 [2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>4 [2,4,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>3 [2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>3 [2,4,5,1,3,6]=>[[1,3,5,6],[2,4]]=>4 [2,4,5,1,6,3]=>[[1,3,5,6],[2,4]]=>4 [2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]=>4 [2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]=>4 [2,4,5,6,1,3]=>[[1,3,5,6],[2,4]]=>4 [2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]=>4 [2,4,6,1,3,5]=>[[1,3,5],[2,4,6]]=>3 [2,4,6,1,5,3]=>[[1,3,5],[2,4],[6]]=>3 [2,4,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>3 [2,4,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>3 [2,4,6,5,1,3]=>[[1,3,5],[2,4],[6]]=>3 [2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]=>3 [2,5,1,3,4,6]=>[[1,3,4,6],[2,5]]=>4 [2,5,1,3,6,4]=>[[1,3,4],[2,5,6]]=>4 [2,5,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>3 [2,5,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>3 [2,5,1,6,3,4]=>[[1,3,4],[2,5,6]]=>4 [2,5,1,6,4,3]=>[[1,3,6],[2,4],[5]]=>3 [2,5,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>4 [2,5,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>4 [2,5,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>4 [2,5,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>4 [2,5,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>4 [2,5,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>4 [2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>3 [2,5,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>3 [2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>3 [2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>3 [2,5,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>3 [2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>3 [2,5,6,1,3,4]=>[[1,3,4],[2,5,6]]=>4 [2,5,6,1,4,3]=>[[1,3,6],[2,4],[5]]=>3 [2,5,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>4 [2,5,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>4 [2,5,6,4,1,3]=>[[1,3,6],[2,4],[5]]=>3 [2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]=>3 [2,6,1,3,4,5]=>[[1,3,4,5],[2,6]]=>4 [2,6,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>3 [2,6,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>3 [2,6,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>3 [2,6,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>3 [2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>2 [2,6,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>4 [2,6,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>3 [2,6,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>4 [2,6,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>4 [2,6,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>3 [2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>3 [2,6,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>3 [2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>3 [2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>3 [2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>3 [2,6,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>3 [2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>3 [2,6,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>3 [2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>2 [2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>3 [2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>3 [2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>2 [2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>2 [3,1,2,4,5,6]=>[[1,2,4,5,6],[3]]=>5 [3,1,2,4,6,5]=>[[1,2,4,5],[3,6]]=>4 [3,1,2,5,4,6]=>[[1,2,4,6],[3,5]]=>4 [3,1,2,5,6,4]=>[[1,2,4,6],[3,5]]=>4 [3,1,2,6,4,5]=>[[1,2,4,5],[3,6]]=>4 [3,1,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>3 [3,1,4,2,5,6]=>[[1,2,5,6],[3,4]]=>5 [3,1,4,2,6,5]=>[[1,2,5],[3,4,6]]=>4 [3,1,4,5,2,6]=>[[1,2,5,6],[3,4]]=>5 [3,1,4,5,6,2]=>[[1,2,5,6],[3,4]]=>5 [3,1,4,6,2,5]=>[[1,2,5],[3,4,6]]=>4 [3,1,4,6,5,2]=>[[1,2,5],[3,4],[6]]=>4 [3,1,5,2,4,6]=>[[1,2,4,6],[3,5]]=>4 [3,1,5,2,6,4]=>[[1,2,4],[3,5,6]]=>4 [3,1,5,4,2,6]=>[[1,2,6],[3,4],[5]]=>4 [3,1,5,4,6,2]=>[[1,2,6],[3,4],[5]]=>4 [3,1,5,6,2,4]=>[[1,2,4],[3,5,6]]=>4 [3,1,5,6,4,2]=>[[1,2,6],[3,4],[5]]=>4 [3,1,6,2,4,5]=>[[1,2,4,5],[3,6]]=>4 [3,1,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>3 [3,1,6,4,2,5]=>[[1,2,5],[3,4],[6]]=>4 [3,1,6,4,5,2]=>[[1,2,5],[3,4],[6]]=>4 [3,1,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>3 [3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]]=>3 [3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>4 [3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>3 [3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>3 [3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]=>3 [3,2,1,6,4,5]=>[[1,4,5],[2,6],[3]]=>3 [3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>2 [3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]=>4 [3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]=>3 [3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]=>4 [3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]=>4 [3,2,4,6,1,5]=>[[1,4,5],[2,6],[3]]=>3 [3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]=>3 [3,2,5,1,4,6]=>[[1,4,6],[2,5],[3]]=>3 [3,2,5,1,6,4]=>[[1,4,6],[2,5],[3]]=>3 [3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]=>3 [3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]=>3 [3,2,5,6,1,4]=>[[1,4,6],[2,5],[3]]=>3 [3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]=>3 [3,2,6,1,4,5]=>[[1,4,5],[2,6],[3]]=>3 [3,2,6,1,5,4]=>[[1,4],[2,5],[3,6]]=>2 [3,2,6,4,1,5]=>[[1,4,5],[2,6],[3]]=>3 [3,2,6,4,5,1]=>[[1,4,5],[2,6],[3]]=>3 [3,2,6,5,1,4]=>[[1,4],[2,5],[3,6]]=>2 [3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]=>2 [3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>5 [3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>4 [3,4,1,5,2,6]=>[[1,2,5,6],[3,4]]=>5 [3,4,1,5,6,2]=>[[1,2,5,6],[3,4]]=>5 [3,4,1,6,2,5]=>[[1,2,5],[3,4,6]]=>4 [3,4,1,6,5,2]=>[[1,2,5],[3,4],[6]]=>4 [3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]=>4 [3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]=>3 [3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]=>4 [3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]=>4 [3,4,2,6,1,5]=>[[1,4,5],[2,6],[3]]=>3 [3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]=>3 [3,4,5,1,2,6]=>[[1,2,5,6],[3,4]]=>5 [3,4,5,1,6,2]=>[[1,2,5,6],[3,4]]=>5 [3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]=>4 [3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]=>4 [3,4,5,6,1,2]=>[[1,2,5,6],[3,4]]=>5 [3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]=>4 [3,4,6,1,2,5]=>[[1,2,5],[3,4,6]]=>4 [3,4,6,1,5,2]=>[[1,2,5],[3,4],[6]]=>4 [3,4,6,2,1,5]=>[[1,4,5],[2,6],[3]]=>3 [3,4,6,2,5,1]=>[[1,4,5],[2,6],[3]]=>3 [3,4,6,5,1,2]=>[[1,2,5],[3,4],[6]]=>4 [3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]=>3 [3,5,1,2,4,6]=>[[1,2,4,6],[3,5]]=>4 [3,5,1,2,6,4]=>[[1,2,4],[3,5,6]]=>4 [3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>4 [3,5,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>4 [3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>4 [3,5,1,6,4,2]=>[[1,2,6],[3,4],[5]]=>4 [3,5,2,1,4,6]=>[[1,4,6],[2,5],[3]]=>3 [3,5,2,1,6,4]=>[[1,4,6],[2,5],[3]]=>3 [3,5,2,4,1,6]=>[[1,4,6],[2,5],[3]]=>3 [3,5,2,4,6,1]=>[[1,4,6],[2,5],[3]]=>3 [3,5,2,6,1,4]=>[[1,4,6],[2,5],[3]]=>3 [3,5,2,6,4,1]=>[[1,4,6],[2,5],[3]]=>3 [3,5,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>4 [3,5,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>4 [3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>3 [3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>3 [3,5,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>4 [3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>3 [3,5,6,1,2,4]=>[[1,2,4],[3,5,6]]=>4 [3,5,6,1,4,2]=>[[1,2,6],[3,4],[5]]=>4 [3,5,6,2,1,4]=>[[1,4,6],[2,5],[3]]=>3 [3,5,6,2,4,1]=>[[1,4,6],[2,5],[3]]=>3 [3,5,6,4,1,2]=>[[1,2,6],[3,4],[5]]=>4 [3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]=>3 [3,6,1,2,4,5]=>[[1,2,4,5],[3,6]]=>4 [3,6,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>3 [3,6,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>4 [3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>4 [3,6,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>3 [3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>3 [3,6,2,1,4,5]=>[[1,4,5],[2,6],[3]]=>3 [3,6,2,1,5,4]=>[[1,4],[2,5],[3,6]]=>2 [3,6,2,4,1,5]=>[[1,4,5],[2,6],[3]]=>3 [3,6,2,4,5,1]=>[[1,4,5],[2,6],[3]]=>3 [3,6,2,5,1,4]=>[[1,4],[2,5],[3,6]]=>2 [3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>2 [3,6,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>4 [3,6,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>4 [3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>3 [3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>3 [3,6,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>4 [3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>3 [3,6,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>3 [3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>3 [3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>2 [3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>2 [3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>3 [3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>2 [4,1,2,3,5,6]=>[[1,2,3,5,6],[4]]=>5 [4,1,2,3,6,5]=>[[1,2,3,5],[4,6]]=>4 [4,1,2,5,3,6]=>[[1,2,3,6],[4,5]]=>5 [4,1,2,5,6,3]=>[[1,2,3,6],[4,5]]=>5 [4,1,2,6,3,5]=>[[1,2,3,5],[4,6]]=>4 [4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>4 [4,1,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>4 [4,1,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>3 [4,1,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>4 [4,1,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>4 [4,1,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>3 [4,1,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>3 [4,1,5,2,3,6]=>[[1,2,3,6],[4,5]]=>5 [4,1,5,2,6,3]=>[[1,2,3],[4,5,6]]=>5 [4,1,5,3,2,6]=>[[1,2,6],[3,5],[4]]=>4 [4,1,5,3,6,2]=>[[1,2,6],[3,5],[4]]=>4 [4,1,5,6,2,3]=>[[1,2,3],[4,5,6]]=>5 [4,1,5,6,3,2]=>[[1,2,6],[3,5],[4]]=>4 [4,1,6,2,3,5]=>[[1,2,3,5],[4,6]]=>4 [4,1,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>4 [4,1,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>3 [4,1,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>3 [4,1,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>4 [4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6]]=>3 [4,2,1,3,5,6]=>[[1,3,5,6],[2],[4]]=>4 [4,2,1,3,6,5]=>[[1,3,5],[2,6],[4]]=>3 [4,2,1,5,3,6]=>[[1,3,6],[2,5],[4]]=>4 [4,2,1,5,6,3]=>[[1,3,6],[2,5],[4]]=>4 [4,2,1,6,3,5]=>[[1,3,5],[2,6],[4]]=>3 [4,2,1,6,5,3]=>[[1,3],[2,5],[4,6]]=>3 [4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>4 [4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>3 [4,2,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>4 [4,2,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>4 [4,2,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>3 [4,2,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>3 [4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>4 [4,2,5,1,6,3]=>[[1,3,6],[2,5],[4]]=>4 [4,2,5,3,1,6]=>[[1,3,6],[2,5],[4]]=>4 [4,2,5,3,6,1]=>[[1,3,6],[2,5],[4]]=>4 [4,2,5,6,1,3]=>[[1,3,6],[2,5],[4]]=>4 [4,2,5,6,3,1]=>[[1,3,6],[2,5],[4]]=>4 [4,2,6,1,3,5]=>[[1,3,5],[2,6],[4]]=>3 [4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>3 [4,2,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>3 [4,2,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>3 [4,2,6,5,1,3]=>[[1,3],[2,5],[4,6]]=>3 [4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6]]=>3 [4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]]=>4 [4,3,1,2,6,5]=>[[1,2,5],[3,6],[4]]=>3 [4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]]=>4 [4,3,1,5,6,2]=>[[1,2,6],[3,5],[4]]=>4 [4,3,1,6,2,5]=>[[1,2,5],[3,6],[4]]=>3 [4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]]=>3 [4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>3 [4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>2 [4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]=>3 [4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]=>3 [4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4]]=>2 [4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]=>2 [4,3,5,1,2,6]=>[[1,2,6],[3,5],[4]]=>4 [4,3,5,1,6,2]=>[[1,2,6],[3,5],[4]]=>4 [4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]=>3 [4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]=>3 [4,3,5,6,1,2]=>[[1,2,6],[3,5],[4]]=>4 [4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]=>3 [4,3,6,1,2,5]=>[[1,2,5],[3,6],[4]]=>3 [4,3,6,1,5,2]=>[[1,2],[3,5],[4,6]]=>3 [4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4]]=>2 [4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4]]=>2 [4,3,6,5,1,2]=>[[1,2],[3,5],[4,6]]=>3 [4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]=>2 [4,5,1,2,3,6]=>[[1,2,3,6],[4,5]]=>5 [4,5,1,2,6,3]=>[[1,2,3],[4,5,6]]=>5 [4,5,1,3,2,6]=>[[1,2,6],[3,5],[4]]=>4 [4,5,1,3,6,2]=>[[1,2,6],[3,5],[4]]=>4 [4,5,1,6,2,3]=>[[1,2,3],[4,5,6]]=>5 [4,5,1,6,3,2]=>[[1,2,6],[3,5],[4]]=>4 [4,5,2,1,3,6]=>[[1,3,6],[2,5],[4]]=>4 [4,5,2,1,6,3]=>[[1,3,6],[2,5],[4]]=>4 [4,5,2,3,1,6]=>[[1,3,6],[2,5],[4]]=>4 [4,5,2,3,6,1]=>[[1,3,6],[2,5],[4]]=>4 [4,5,2,6,1,3]=>[[1,3,6],[2,5],[4]]=>4 [4,5,2,6,3,1]=>[[1,3,6],[2,5],[4]]=>4 [4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>4 [4,5,3,1,6,2]=>[[1,2,6],[3,5],[4]]=>4 [4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]=>3 [4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]=>3 [4,5,3,6,1,2]=>[[1,2,6],[3,5],[4]]=>4 [4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]=>3 [4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>5 [4,5,6,1,3,2]=>[[1,2,6],[3,5],[4]]=>4 [4,5,6,2,1,3]=>[[1,3,6],[2,5],[4]]=>4 [4,5,6,2,3,1]=>[[1,3,6],[2,5],[4]]=>4 [4,5,6,3,1,2]=>[[1,2,6],[3,5],[4]]=>4 [4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]=>3 [4,6,1,2,3,5]=>[[1,2,3,5],[4,6]]=>4 [4,6,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>4 [4,6,1,3,2,5]=>[[1,2,5],[3,6],[4]]=>3 [4,6,1,3,5,2]=>[[1,2,5],[3,6],[4]]=>3 [4,6,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>4 [4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>3 [4,6,2,1,3,5]=>[[1,3,5],[2,6],[4]]=>3 [4,6,2,1,5,3]=>[[1,3],[2,5],[4,6]]=>3 [4,6,2,3,1,5]=>[[1,3,5],[2,6],[4]]=>3 [4,6,2,3,5,1]=>[[1,3,5],[2,6],[4]]=>3 [4,6,2,5,1,3]=>[[1,3],[2,5],[4,6]]=>3 [4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>3 [4,6,3,1,2,5]=>[[1,2,5],[3,6],[4]]=>3 [4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>3 [4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4]]=>2 [4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4]]=>2 [4,6,3,5,1,2]=>[[1,2],[3,5],[4,6]]=>3 [4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4]]=>2 [4,6,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>4 [4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>3 [4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>3 [4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>3 [4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>3 [4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>2 [5,1,2,3,4,6]=>[[1,2,3,4,6],[5]]=>5 [5,1,2,3,6,4]=>[[1,2,3,4],[5,6]]=>5 [5,1,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>4 [5,1,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>4 [5,1,2,6,3,4]=>[[1,2,3,4],[5,6]]=>5 [5,1,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>4 [5,1,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>4 [5,1,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>4 [5,1,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>4 [5,1,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>4 [5,1,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>4 [5,1,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>4 [5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>4 [5,1,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>4 [5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>3 [5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>3 [5,1,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>4 [5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>3 [5,1,6,2,3,4]=>[[1,2,3,4],[5,6]]=>5 [5,1,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>4 [5,1,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>4 [5,1,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>4 [5,1,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>4 [5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5]]=>3 [5,2,1,3,4,6]=>[[1,3,4,6],[2],[5]]=>4 [5,2,1,3,6,4]=>[[1,3,4],[2,6],[5]]=>4 [5,2,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>3 [5,2,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>3 [5,2,1,6,3,4]=>[[1,3,4],[2,6],[5]]=>4 [5,2,1,6,4,3]=>[[1,3],[2,4],[5,6]]=>3 [5,2,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>4 [5,2,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>4 [5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>4 [5,2,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>4 [5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>4 [5,2,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>4 [5,2,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>3 [5,2,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>3 [5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>3 [5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>3 [5,2,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>3 [5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>3 [5,2,6,1,3,4]=>[[1,3,4],[2,6],[5]]=>4 [5,2,6,1,4,3]=>[[1,3],[2,4],[5,6]]=>3 [5,2,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>4 [5,2,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>4 [5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>3 [5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5]]=>3 [5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]]=>4 [5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]]=>4 [5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>4 [5,3,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>4 [5,3,1,6,2,4]=>[[1,2,4],[3,6],[5]]=>4 [5,3,1,6,4,2]=>[[1,2],[3,4],[5,6]]=>4 [5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5]]=>3 [5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5]]=>3 [5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>3 [5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5]]=>3 [5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>3 [5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5]]=>3 [5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>4 [5,3,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>4 [5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>3 [5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>3 [5,3,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>4 [5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>3 [5,3,6,1,2,4]=>[[1,2,4],[3,6],[5]]=>4 [5,3,6,1,4,2]=>[[1,2],[3,4],[5,6]]=>4 [5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5]]=>3 [5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5]]=>3 [5,3,6,4,1,2]=>[[1,2],[3,4],[5,6]]=>4 [5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5]]=>3 [5,4,1,2,3,6]=>[[1,2,3,6],[4],[5]]=>4 [5,4,1,2,6,3]=>[[1,2,3],[4,6],[5]]=>4 [5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5]]=>3 [5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5]]=>3 [5,4,1,6,2,3]=>[[1,2,3],[4,6],[5]]=>4 [5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5]]=>3 [5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]]=>3 [5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]]=>3 [5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5]]=>3 [5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5]]=>3 [5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5]]=>3 [5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5]]=>3 [5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5]]=>3 [5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5]]=>3 [5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>2 [5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]=>2 [5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5]]=>3 [5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]=>2 [5,4,6,1,2,3]=>[[1,2,3],[4,6],[5]]=>4 [5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5]]=>3 [5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>3 [5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5]]=>3 [5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5]]=>3 [5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>2 [5,6,1,2,3,4]=>[[1,2,3,4],[5,6]]=>5 [5,6,1,2,4,3]=>[[1,2,3],[4,6],[5]]=>4 [5,6,1,3,2,4]=>[[1,2,4],[3,6],[5]]=>4 [5,6,1,3,4,2]=>[[1,2,4],[3,6],[5]]=>4 [5,6,1,4,2,3]=>[[1,2,3],[4,6],[5]]=>4 [5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5]]=>3 [5,6,2,1,3,4]=>[[1,3,4],[2,6],[5]]=>4 [5,6,2,1,4,3]=>[[1,3],[2,4],[5,6]]=>3 [5,6,2,3,1,4]=>[[1,3,4],[2,6],[5]]=>4 [5,6,2,3,4,1]=>[[1,3,4],[2,6],[5]]=>4 [5,6,2,4,1,3]=>[[1,3],[2,4],[5,6]]=>3 [5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5]]=>3 [5,6,3,1,2,4]=>[[1,2,4],[3,6],[5]]=>4 [5,6,3,1,4,2]=>[[1,2],[3,4],[5,6]]=>4 [5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5]]=>3 [5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5]]=>3 [5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>4 [5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5]]=>3 [5,6,4,1,2,3]=>[[1,2,3],[4,6],[5]]=>4 [5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5]]=>3 [5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5]]=>3 [5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5]]=>3 [5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>3 [5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>2 [6,1,2,3,4,5]=>[[1,2,3,4,5],[6]]=>5 [6,1,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>4 [6,1,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>4 [6,1,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>4 [6,1,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>4 [6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>3 [6,1,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>4 [6,1,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>3 [6,1,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>4 [6,1,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>4 [6,1,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>3 [6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>3 [6,1,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>4 [6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>4 [6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>3 [6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>3 [6,1,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>4 [6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>3 [6,1,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>4 [6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>3 [6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>3 [6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>3 [6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>3 [6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>2 [6,2,1,3,4,5]=>[[1,3,4,5],[2],[6]]=>4 [6,2,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>3 [6,2,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>3 [6,2,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>3 [6,2,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>3 [6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>2 [6,2,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>4 [6,2,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>3 [6,2,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>4 [6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>4 [6,2,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>3 [6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>3 [6,2,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>3 [6,2,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>3 [6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>3 [6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>3 [6,2,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>3 [6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>3 [6,2,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>3 [6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>2 [6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>3 [6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>3 [6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>2 [6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>2 [6,3,1,2,4,5]=>[[1,2,4,5],[3],[6]]=>4 [6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>3 [6,3,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>4 [6,3,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>4 [6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>3 [6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>3 [6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6]]=>3 [6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6]]=>2 [6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6]]=>3 [6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>3 [6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6]]=>2 [6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>2 [6,3,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>4 [6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>4 [6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>3 [6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>3 [6,3,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>4 [6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>3 [6,3,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>3 [6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>3 [6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>2 [6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>2 [6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>3 [6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>2 [6,4,1,2,3,5]=>[[1,2,3,5],[4],[6]]=>4 [6,4,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>4 [6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6]]=>3 [6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6]]=>3 [6,4,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>4 [6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>3 [6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]]=>3 [6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]]=>3 [6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6]]=>3 [6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6]]=>3 [6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6]]=>3 [6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>3 [6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6]]=>3 [6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6]]=>3 [6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6]]=>2 [6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>2 [6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6]]=>3 [6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6]]=>2 [6,4,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>4 [6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>3 [6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>3 [6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>3 [6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>3 [6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>2 [6,5,1,2,3,4]=>[[1,2,3,4],[5],[6]]=>4 [6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6]]=>3 [6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6]]=>3 [6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6]]=>3 [6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6]]=>3 [6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>2 [6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6]]=>3 [6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6]]=>2 [6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]]=>3 [6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6]]=>3 [6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6]]=>2 [6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>2 [6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6]]=>3 [6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6]]=>3 [6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6]]=>2 [6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6]]=>2 [6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6]]=>3 [6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>2 [6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6]]=>3 [6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6]]=>2 [6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6]]=>2 [6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6]]=>2 [6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6]]=>2 [6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>1 [1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>7 [1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>6 [1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]=>6 [1,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6]]=>6 [1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7]]=>6 [1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>5 [1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]=>6 [1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]=>5 [1,2,3,5,6,4,7]=>[[1,2,3,4,6,7],[5]]=>6 [1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5]]=>6 [1,2,3,5,7,4,6]=>[[1,2,3,4,6],[5,7]]=>5 [1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7]]=>5 [1,2,3,6,4,5,7]=>[[1,2,3,4,5,7],[6]]=>6 [1,2,3,6,4,7,5]=>[[1,2,3,4,5],[6,7]]=>6 [1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>5 [1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>5 [1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7]]=>6 [1,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6]]=>5 [1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7]]=>6 [1,2,3,7,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>5 [1,2,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>5 [1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>5 [1,2,3,7,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>5 [1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>6 [1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>5 [1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>5 [1,2,4,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>5 [1,2,4,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>5 [1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,2,4,5,3,6,7]=>[[1,2,3,5,6,7],[4]]=>6 [1,2,4,5,3,7,6]=>[[1,2,3,5,6],[4,7]]=>5 [1,2,4,5,6,3,7]=>[[1,2,3,5,6,7],[4]]=>6 [1,2,4,5,6,7,3]=>[[1,2,3,5,6,7],[4]]=>6 [1,2,4,5,7,3,6]=>[[1,2,3,5,6],[4,7]]=>5 [1,2,4,5,7,6,3]=>[[1,2,3,5,6],[4],[7]]=>5 [1,2,4,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>5 [1,2,4,6,3,7,5]=>[[1,2,3,5,7],[4,6]]=>5 [1,2,4,6,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>5 [1,2,4,6,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>5 [1,2,4,6,7,3,5]=>[[1,2,3,5,7],[4,6]]=>5 [1,2,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6]]=>5 [1,2,4,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>5 [1,2,4,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,2,4,7,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>5 [1,2,4,7,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>5 [1,2,4,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,2,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>4 [1,2,5,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>6 [1,2,5,3,4,7,6]=>[[1,2,3,4,6],[5,7]]=>5 [1,2,5,3,6,4,7]=>[[1,2,3,4,7],[5,6]]=>6 [1,2,5,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>6 [1,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>5 [1,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>5 [1,2,5,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,2,5,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]=>5 [1,2,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]=>5 [1,2,5,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,2,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5]]=>4 [1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>6 [1,2,5,6,3,7,4]=>[[1,2,3,4,7],[5,6]]=>6 [1,2,5,6,4,3,7]=>[[1,2,3,6,7],[4],[5]]=>5 [1,2,5,6,4,7,3]=>[[1,2,3,6,7],[4],[5]]=>5 [1,2,5,6,7,3,4]=>[[1,2,3,4,7],[5,6]]=>6 [1,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5]]=>5 [1,2,5,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>5 [1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,2,5,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,2,5,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>4 [1,2,5,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,2,5,7,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>4 [1,2,6,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>6 [1,2,6,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>6 [1,2,6,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>5 [1,2,6,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>5 [1,2,6,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>6 [1,2,6,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,2,6,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>5 [1,2,6,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>5 [1,2,6,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>5 [1,2,6,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,2,6,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]=>5 [1,2,6,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>5 [1,2,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>4 [1,2,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>4 [1,2,6,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,2,6,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]=>4 [1,2,6,7,3,4,5]=>[[1,2,3,4,5],[6,7]]=>6 [1,2,6,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,2,6,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,2,6,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>5 [1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,2,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6]]=>4 [1,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>6 [1,2,7,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>5 [1,2,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>5 [1,2,7,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>5 [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],[5],[6],[7]]=>4 [1,2,7,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>5 [1,2,7,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,2,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>5 [1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>5 [1,2,7,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>4 [1,2,7,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>5 [1,2,7,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,2,7,5,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>4 [1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>4 [1,2,7,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,2,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>4 [1,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>5 [1,2,7,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [1,2,7,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>4 [1,2,7,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>4 [1,2,7,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>6 [1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>5 [1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>5 [1,3,2,4,6,7,5]=>[[1,2,4,5,7],[3,6]]=>5 [1,3,2,4,7,5,6]=>[[1,2,4,5,6],[3,7]]=>5 [1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>5 [1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>4 [1,3,2,5,6,4,7]=>[[1,2,4,6,7],[3,5]]=>5 [1,3,2,5,6,7,4]=>[[1,2,4,6,7],[3,5]]=>5 [1,3,2,5,7,4,6]=>[[1,2,4,6],[3,5,7]]=>4 [1,3,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,2,6,4,5,7]=>[[1,2,4,5,7],[3,6]]=>5 [1,3,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]=>5 [1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>5 [1,3,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,2,7,4,5,6]=>[[1,2,4,5,6],[3,7]]=>5 [1,3,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [1,3,4,2,5,6,7]=>[[1,2,4,5,6,7],[3]]=>6 [1,3,4,2,5,7,6]=>[[1,2,4,5,6],[3,7]]=>5 [1,3,4,2,6,5,7]=>[[1,2,4,5,7],[3,6]]=>5 [1,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6]]=>5 [1,3,4,2,7,5,6]=>[[1,2,4,5,6],[3,7]]=>5 [1,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,4,5,2,6,7]=>[[1,2,4,5,6,7],[3]]=>6 [1,3,4,5,2,7,6]=>[[1,2,4,5,6],[3,7]]=>5 [1,3,4,5,6,2,7]=>[[1,2,4,5,6,7],[3]]=>6 [1,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3]]=>6 [1,3,4,5,7,2,6]=>[[1,2,4,5,6],[3,7]]=>5 [1,3,4,5,7,6,2]=>[[1,2,4,5,6],[3],[7]]=>5 [1,3,4,6,2,5,7]=>[[1,2,4,5,7],[3,6]]=>5 [1,3,4,6,2,7,5]=>[[1,2,4,5,7],[3,6]]=>5 [1,3,4,6,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>5 [1,3,4,6,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>5 [1,3,4,6,7,2,5]=>[[1,2,4,5,7],[3,6]]=>5 [1,3,4,6,7,5,2]=>[[1,2,4,5,7],[3],[6]]=>5 [1,3,4,7,2,5,6]=>[[1,2,4,5,6],[3,7]]=>5 [1,3,4,7,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,4,7,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>5 [1,3,4,7,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>5 [1,3,4,7,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,4,7,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>4 [1,3,5,2,4,6,7]=>[[1,2,4,6,7],[3,5]]=>5 [1,3,5,2,4,7,6]=>[[1,2,4,6],[3,5,7]]=>4 [1,3,5,2,6,4,7]=>[[1,2,4,6,7],[3,5]]=>5 [1,3,5,2,6,7,4]=>[[1,2,4,6,7],[3,5]]=>5 [1,3,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>4 [1,3,5,2,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,5,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>5 [1,3,5,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,3,5,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]=>5 [1,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]=>5 [1,3,5,4,7,2,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,3,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]=>4 [1,3,5,6,2,4,7]=>[[1,2,4,6,7],[3,5]]=>5 [1,3,5,6,2,7,4]=>[[1,2,4,6,7],[3,5]]=>5 [1,3,5,6,4,2,7]=>[[1,2,4,6,7],[3],[5]]=>5 [1,3,5,6,4,7,2]=>[[1,2,4,6,7],[3],[5]]=>5 [1,3,5,6,7,2,4]=>[[1,2,4,6,7],[3,5]]=>5 [1,3,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5]]=>5 [1,3,5,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>4 [1,3,5,7,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,5,7,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,3,5,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>4 [1,3,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,5,7,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>4 [1,3,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>5 [1,3,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>5 [1,3,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,6,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>5 [1,3,6,2,7,5,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,6,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]=>5 [1,3,6,4,2,7,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,3,6,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>5 [1,3,6,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>5 [1,3,6,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,3,6,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]=>5 [1,3,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,6,5,2,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,6,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>4 [1,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>4 [1,3,6,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,6,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]=>4 [1,3,6,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>5 [1,3,6,7,2,5,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,6,7,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>5 [1,3,6,7,5,2,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,3,6,7,5,4,2]=>[[1,2,4,7],[3],[5],[6]]=>4 [1,3,7,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>5 [1,3,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [1,3,7,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]=>5 [1,3,7,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,7,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>5 [1,3,7,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>5 [1,3,7,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,7,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>4 [1,3,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,7,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,7,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>4 [1,3,7,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>4 [1,3,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>4 [1,3,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,3,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [1,3,7,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>4 [1,3,7,6,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>4 [1,3,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [1,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>3 [1,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>6 [1,4,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>5 [1,4,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>5 [1,4,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>5 [1,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>5 [1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]=>6 [1,4,2,5,3,7,6]=>[[1,2,3,6],[4,5,7]]=>5 [1,4,2,5,6,3,7]=>[[1,2,3,6,7],[4,5]]=>6 [1,4,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>6 [1,4,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]=>5 [1,4,2,5,7,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>5 [1,4,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]=>5 [1,4,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]=>5 [1,4,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>5 [1,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,4,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,4,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>5 [1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [1,4,3,5,2,6,7]=>[[1,2,5,6,7],[3],[4]]=>5 [1,4,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4]]=>5 [1,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>5 [1,4,3,5,7,2,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [1,4,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>3 [1,4,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>6 [1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>5 [1,4,5,2,6,3,7]=>[[1,2,3,6,7],[4,5]]=>6 [1,4,5,2,6,7,3]=>[[1,2,3,6,7],[4,5]]=>6 [1,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>5 [1,4,5,2,7,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,5,3,2,6,7]=>[[1,2,5,6,7],[3],[4]]=>5 [1,4,5,3,2,7,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,5,3,6,2,7]=>[[1,2,5,6,7],[3],[4]]=>5 [1,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>5 [1,4,5,3,7,2,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,5,3,7,6,2]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,5,6,2,3,7]=>[[1,2,3,6,7],[4,5]]=>6 [1,4,5,6,2,7,3]=>[[1,2,3,6,7],[4,5]]=>6 [1,4,5,6,3,2,7]=>[[1,2,5,6,7],[3],[4]]=>5 [1,4,5,6,3,7,2]=>[[1,2,5,6,7],[3],[4]]=>5 [1,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5]]=>6 [1,4,5,6,7,3,2]=>[[1,2,5,6,7],[3],[4]]=>5 [1,4,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>5 [1,4,5,7,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,5,7,3,2,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,5,7,3,6,2]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,5,7,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,5,7,6,3,2]=>[[1,2,5,6],[3],[4],[7]]=>4 [1,4,6,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>5 [1,4,6,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>5 [1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>5 [1,4,6,2,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,6,3,2,7,5]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,6,3,7,2,5]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,6,3,7,5,2]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,6,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,6,5,2,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,6,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]=>4 [1,4,6,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]=>4 [1,4,6,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,6,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]=>4 [1,4,6,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>5 [1,4,6,7,2,5,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,6,7,3,2,5]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,6,7,3,5,2]=>[[1,2,5,7],[3,6],[4]]=>4 [1,4,6,7,5,2,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,4,6,7,5,3,2]=>[[1,2,5,7],[3],[4],[6]]=>4 [1,4,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>5 [1,4,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,4,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [1,4,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [1,4,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>4 [1,4,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>3 [1,4,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [1,4,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,7,5,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,7,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>4 [1,4,7,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>4 [1,4,7,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,4,7,5,6,3,2]=>[[1,2,5,6],[3],[4],[7]]=>4 [1,4,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,4,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [1,4,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [1,4,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [1,4,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [1,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>3 [1,5,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>6 [1,5,2,3,4,7,6]=>[[1,2,3,4,6],[5,7]]=>5 [1,5,2,3,6,4,7]=>[[1,2,3,4,7],[5,6]]=>6 [1,5,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>6 [1,5,2,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>5 [1,5,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,5,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>5 [1,5,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]=>5 [1,5,2,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]=>5 [1,5,2,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,2,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>6 [1,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]=>6 [1,5,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,2,6,7,3,4]=>[[1,2,3,4],[5,6,7]]=>6 [1,5,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>5 [1,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,5,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,5,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [1,5,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>5 [1,5,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>5 [1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]=>5 [1,5,3,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]=>5 [1,5,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [1,5,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>4 [1,5,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [1,5,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>5 [1,5,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>4 [1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [1,5,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]=>4 [1,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]=>4 [1,5,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [1,5,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [1,5,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>4 [1,5,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>4 [1,5,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5]]=>4 [1,5,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [1,5,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [1,5,4,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [1,5,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>4 [1,5,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [1,5,6,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>6 [1,5,6,2,3,7,4]=>[[1,2,3,4],[5,6,7]]=>6 [1,5,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>6 [1,5,6,2,7,4,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,6,3,2,7,4]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,6,3,7,2,4]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,6,3,7,4,2]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,6,4,2,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>4 [1,5,6,4,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>4 [1,5,6,4,7,2,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,6,4,7,3,2]=>[[1,2,6,7],[3],[4],[5]]=>4 [1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>6 [1,5,6,7,2,4,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,6,7,3,2,4]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,6,7,3,4,2]=>[[1,2,4,7],[3,6],[5]]=>5 [1,5,6,7,4,2,3]=>[[1,2,3,7],[4,6],[5]]=>5 [1,5,6,7,4,3,2]=>[[1,2,6,7],[3],[4],[5]]=>4 [1,5,7,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>5 [1,5,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,5,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,5,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [1,5,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [1,5,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>4 [1,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>4 [1,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [1,5,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [1,5,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [1,5,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [1,5,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>4 [1,5,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [1,5,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [1,5,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [1,5,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [1,5,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [1,5,7,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>3 [1,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>6 [1,6,2,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>6 [1,6,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>5 [1,6,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>5 [1,6,2,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>6 [1,6,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>5 [1,6,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,2,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>5 [1,6,2,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>5 [1,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>5 [1,6,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,2,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>4 [1,6,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>4 [1,6,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,2,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]=>4 [1,6,2,7,3,4,5]=>[[1,2,3,4,5],[6,7]]=>6 [1,6,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [1,6,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]=>5 [1,6,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [1,6,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,6,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,3,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [1,6,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]=>5 [1,6,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>5 [1,6,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>5 [1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,3,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [1,6,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,6,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>4 [1,6,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>4 [1,6,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]=>4 [1,6,3,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]=>4 [1,6,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [1,6,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>4 [1,6,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [1,6,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>5 [1,6,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [1,6,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,6,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [1,6,4,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>4 [1,6,4,3,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [1,6,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]=>4 [1,6,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]=>4 [1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [1,6,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [1,6,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [1,6,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,6,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]=>4 [1,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]=>4 [1,6,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]=>5 [1,6,4,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]=>4 [1,6,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [1,6,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [1,6,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [1,6,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>5 [1,6,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [1,6,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>5 [1,6,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,5,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>4 [1,6,5,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>4 [1,6,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [1,6,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>4 [1,6,5,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [1,6,5,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>4 [1,6,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>4 [1,6,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [1,6,5,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [1,6,5,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>4 [1,6,5,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>3 [1,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>3 [1,6,5,4,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [1,6,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>3 [1,6,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,5,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [1,6,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [1,6,5,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [1,6,5,7,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>3 [1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>6 [1,6,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [1,6,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [1,6,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>5 [1,6,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>4 [1,6,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [1,6,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [1,6,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [1,6,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [1,6,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>5 [1,6,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [1,6,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [1,6,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [1,6,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [1,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [1,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [1,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>3 [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],[6],[7]]=>5 [1,7,2,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>5 [1,7,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>5 [1,7,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>5 [1,7,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [1,7,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>5 [1,7,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,7,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>5 [1,7,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>5 [1,7,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,7,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>4 [1,7,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>5 [1,7,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,7,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>4 [1,7,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>4 [1,7,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,7,2,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>4 [1,7,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>5 [1,7,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [1,7,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>4 [1,7,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>4 [1,7,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [1,7,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [1,7,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]=>5 [1,7,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,7,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [1,7,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,7,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,7,3,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [1,7,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]=>5 [1,7,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,7,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>5 [1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>5 [1,7,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>4 [1,7,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [1,7,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,7,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>4 [1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>4 [1,7,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>4 [1,7,3,5,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>4 [1,7,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [1,7,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [1,7,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>4 [1,7,3,6,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>4 [1,7,3,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>3 [1,7,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>5 [1,7,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,7,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [1,7,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,7,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,7,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [1,7,4,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>4 [1,7,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [1,7,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]=>4 [1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>4 [1,7,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [1,7,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [1,7,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,7,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>4 [1,7,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>4 [1,7,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>5 [1,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7]]=>4 [1,7,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [1,7,4,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [1,7,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [1,7,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [1,7,4,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [1,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>3 [1,7,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>5 [1,7,5,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,7,5,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>4 [1,7,5,2,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>4 [1,7,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,7,5,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [1,7,5,3,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>4 [1,7,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [1,7,5,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>4 [1,7,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>4 [1,7,5,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [1,7,5,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [1,7,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>4 [1,7,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [1,7,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>3 [1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>3 [1,7,5,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [1,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>3 [1,7,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [1,7,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [1,7,5,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [1,7,5,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [1,7,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>3 [1,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>5 [1,7,6,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [1,7,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>4 [1,7,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>4 [1,7,6,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [1,7,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [1,7,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>4 [1,7,6,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [1,7,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>4 [1,7,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>4 [1,7,6,3,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [1,7,6,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>3 [1,7,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>4 [1,7,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [1,7,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>3 [1,7,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>3 [1,7,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>3 [1,7,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [1,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [1,7,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>3 [1,7,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>3 [1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>2 [2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>6 [2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>5 [2,1,3,4,6,7,5]=>[[1,3,4,5,7],[2,6]]=>5 [2,1,3,4,7,5,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>5 [2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,1,3,5,6,4,7]=>[[1,3,4,6,7],[2,5]]=>5 [2,1,3,5,6,7,4]=>[[1,3,4,6,7],[2,5]]=>5 [2,1,3,5,7,4,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,1,3,5,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,1,3,6,4,5,7]=>[[1,3,4,5,7],[2,6]]=>5 [2,1,3,6,4,7,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,1,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,1,3,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,1,3,6,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,1,3,7,4,5,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,1,3,7,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,1,3,7,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,1,3,7,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,1,4,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>5 [2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>4 [2,1,4,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>4 [2,1,4,3,7,5,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,1,4,5,3,6,7]=>[[1,3,5,6,7],[2,4]]=>5 [2,1,4,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,1,4,5,6,3,7]=>[[1,3,5,6,7],[2,4]]=>5 [2,1,4,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>5 [2,1,4,5,7,3,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,1,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>4 [2,1,4,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>4 [2,1,4,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,1,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,1,4,6,7,3,5]=>[[1,3,5,7],[2,4,6]]=>4 [2,1,4,6,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,1,4,7,3,5,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,1,4,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,1,4,7,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,1,4,7,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,1,4,7,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,1,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,1,5,3,4,6,7]=>[[1,3,4,6,7],[2,5]]=>5 [2,1,5,3,4,7,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,1,5,3,6,4,7]=>[[1,3,4,7],[2,5,6]]=>5 [2,1,5,3,6,7,4]=>[[1,3,4,7],[2,5,6]]=>5 [2,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,1,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,1,5,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,1,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,1,5,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,1,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5]]=>3 [2,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6]]=>5 [2,1,5,6,3,7,4]=>[[1,3,4,7],[2,5,6]]=>5 [2,1,5,6,4,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,1,5,6,4,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,1,5,6,7,3,4]=>[[1,3,4,7],[2,5,6]]=>5 [2,1,5,6,7,4,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,1,5,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,1,5,7,4,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,1,5,7,4,6,3]=>[[1,3,6],[2,4,7],[5]]=>3 [2,1,5,7,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,1,5,7,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,1,6,3,4,5,7]=>[[1,3,4,5,7],[2,6]]=>5 [2,1,6,3,4,7,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,1,6,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,1,6,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,1,6,3,7,4,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,1,6,3,7,5,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,1,6,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,1,6,4,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,1,6,4,7,5,3]=>[[1,3,5],[2,4,7],[6]]=>4 [2,1,6,5,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,1,6,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,1,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,1,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,1,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,1,6,7,3,4,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,1,6,7,4,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,1,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6]]=>4 [2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,1,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,1,7,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,1,7,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,1,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,1,7,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,1,7,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,1,7,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,1,7,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,1,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,1,7,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,1,7,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,1,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,1,7,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,1,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,1,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,1,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,1,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,1,7,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,1,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,1,7,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,1,7,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [2,3,1,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>6 [2,3,1,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,3,1,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>5 [2,3,1,4,6,7,5]=>[[1,3,4,5,7],[2,6]]=>5 [2,3,1,4,7,5,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,3,1,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,1,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>5 [2,3,1,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,3,1,5,6,4,7]=>[[1,3,4,6,7],[2,5]]=>5 [2,3,1,5,6,7,4]=>[[1,3,4,6,7],[2,5]]=>5 [2,3,1,5,7,4,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,3,1,5,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,1,6,4,5,7]=>[[1,3,4,5,7],[2,6]]=>5 [2,3,1,6,4,7,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,3,1,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,1,6,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,1,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,3,1,6,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,1,7,4,5,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,3,1,7,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,1,7,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,1,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,1,7,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2]]=>6 [2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6]]=>5 [2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6]]=>5 [2,3,4,1,7,5,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2]]=>6 [2,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2]]=>6 [2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2]]=>6 [2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7]]=>5 [2,3,4,6,1,5,7]=>[[1,3,4,5,7],[2,6]]=>5 [2,3,4,6,1,7,5]=>[[1,3,4,5,7],[2,6]]=>5 [2,3,4,6,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>5 [2,3,4,6,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>5 [2,3,4,6,7,1,5]=>[[1,3,4,5,7],[2,6]]=>5 [2,3,4,6,7,5,1]=>[[1,3,4,5,7],[2],[6]]=>5 [2,3,4,7,1,5,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,3,4,7,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,4,7,5,1,6]=>[[1,3,4,5,6],[2],[7]]=>5 [2,3,4,7,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>5 [2,3,4,7,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,4,7,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>4 [2,3,5,1,4,6,7]=>[[1,3,4,6,7],[2,5]]=>5 [2,3,5,1,4,7,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,3,5,1,6,4,7]=>[[1,3,4,6,7],[2,5]]=>5 [2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,5]]=>5 [2,3,5,1,7,4,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,3,5,1,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,5,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>5 [2,3,5,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,3,5,4,6,1,7]=>[[1,3,4,6,7],[2],[5]]=>5 [2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>5 [2,3,5,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,3,5,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]=>4 [2,3,5,6,1,4,7]=>[[1,3,4,6,7],[2,5]]=>5 [2,3,5,6,1,7,4]=>[[1,3,4,6,7],[2,5]]=>5 [2,3,5,6,4,1,7]=>[[1,3,4,6,7],[2],[5]]=>5 [2,3,5,6,4,7,1]=>[[1,3,4,6,7],[2],[5]]=>5 [2,3,5,6,7,1,4]=>[[1,3,4,6,7],[2,5]]=>5 [2,3,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5]]=>5 [2,3,5,7,1,4,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,3,5,7,1,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,5,7,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,3,5,7,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>4 [2,3,5,7,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,5,7,6,4,1]=>[[1,3,4,6],[2],[5],[7]]=>4 [2,3,6,1,4,5,7]=>[[1,3,4,5,7],[2,6]]=>5 [2,3,6,1,4,7,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,3,6,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,6,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,6,1,7,4,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,3,6,1,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]=>5 [2,3,6,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,3,6,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>5 [2,3,6,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>5 [2,3,6,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,3,6,4,7,5,1]=>[[1,3,4,5],[2,7],[6]]=>5 [2,3,6,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,6,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,6,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>4 [2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>4 [2,3,6,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,6,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]=>4 [2,3,6,7,1,4,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,3,6,7,1,5,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,6,7,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,3,6,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>5 [2,3,6,7,5,1,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,3,6,7,5,4,1]=>[[1,3,4,7],[2],[5],[6]]=>4 [2,3,7,1,4,5,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,3,7,1,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,7,1,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,7,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,7,1,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,7,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,3,7,4,1,5,6]=>[[1,3,4,5,6],[2],[7]]=>5 [2,3,7,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,7,4,5,1,6]=>[[1,3,4,5,6],[2],[7]]=>5 [2,3,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>5 [2,3,7,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,7,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>4 [2,3,7,5,1,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,7,5,1,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,7,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>4 [2,3,7,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>4 [2,3,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7]]=>4 [2,3,7,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,3,7,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,3,7,6,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>4 [2,3,7,6,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>4 [2,3,7,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,3,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>3 [2,4,1,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>5 [2,4,1,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>4 [2,4,1,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>4 [2,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,4,1,5,3,6,7]=>[[1,3,5,6,7],[2,4]]=>5 [2,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,4,1,5,6,3,7]=>[[1,3,5,6,7],[2,4]]=>5 [2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>5 [2,4,1,5,7,3,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,4,1,5,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>4 [2,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>4 [2,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,1,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,1,6,7,3,5]=>[[1,3,5,7],[2,4,6]]=>4 [2,4,1,6,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,1,7,3,5,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,4,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,4,1,7,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,1,7,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,1,7,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,4,1,7,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,4,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>5 [2,4,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [2,4,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4]]=>5 [2,4,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,3,5,6,1,7]=>[[1,3,5,6,7],[2],[4]]=>5 [2,4,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>5 [2,4,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [2,4,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>3 [2,4,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [2,4,5,1,3,6,7]=>[[1,3,5,6,7],[2,4]]=>5 [2,4,5,1,3,7,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,4,5,1,6,3,7]=>[[1,3,5,6,7],[2,4]]=>5 [2,4,5,1,6,7,3]=>[[1,3,5,6,7],[2,4]]=>5 [2,4,5,1,7,3,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,4,5,1,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4]]=>5 [2,4,5,3,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,5,3,6,1,7]=>[[1,3,5,6,7],[2],[4]]=>5 [2,4,5,3,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>5 [2,4,5,3,7,1,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,5,3,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,5,6,1,3,7]=>[[1,3,5,6,7],[2,4]]=>5 [2,4,5,6,1,7,3]=>[[1,3,5,6,7],[2,4]]=>5 [2,4,5,6,3,1,7]=>[[1,3,5,6,7],[2],[4]]=>5 [2,4,5,6,3,7,1]=>[[1,3,5,6,7],[2],[4]]=>5 [2,4,5,6,7,1,3]=>[[1,3,5,6,7],[2,4]]=>5 [2,4,5,6,7,3,1]=>[[1,3,5,6,7],[2],[4]]=>5 [2,4,5,7,1,3,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,4,5,7,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,5,7,3,1,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,5,7,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,5,7,6,3,1]=>[[1,3,5,6],[2],[4],[7]]=>4 [2,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6]]=>4 [2,4,6,1,3,7,5]=>[[1,3,5,7],[2,4,6]]=>4 [2,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,6,1,7,3,5]=>[[1,3,5,7],[2,4,6]]=>4 [2,4,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,6,3,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,6,3,7,1,5]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,6,3,7,5,1]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,6,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,6,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,6,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>4 [2,4,6,5,3,7,1]=>[[1,3,5,7],[2],[4],[6]]=>4 [2,4,6,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,6,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]=>4 [2,4,6,7,1,3,5]=>[[1,3,5,7],[2,4,6]]=>4 [2,4,6,7,1,5,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,6,7,3,1,5]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,6,7,3,5,1]=>[[1,3,5,7],[2,6],[4]]=>4 [2,4,6,7,5,1,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,4,6,7,5,3,1]=>[[1,3,5,7],[2],[4],[6]]=>4 [2,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7]]=>4 [2,4,7,1,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,4,7,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,7,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,7,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,4,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,4,7,3,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [2,4,7,3,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>4 [2,4,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>3 [2,4,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [2,4,7,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,7,5,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,7,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]=>4 [2,4,7,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]=>4 [2,4,7,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,4,7,5,6,3,1]=>[[1,3,5,6],[2],[4],[7]]=>4 [2,4,7,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,4,7,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,4,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [2,4,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [2,4,7,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,4,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>3 [2,5,1,3,4,6,7]=>[[1,3,4,6,7],[2,5]]=>5 [2,5,1,3,4,7,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,5,1,3,6,4,7]=>[[1,3,4,7],[2,5,6]]=>5 [2,5,1,3,6,7,4]=>[[1,3,4,7],[2,5,6]]=>5 [2,5,1,3,7,4,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,5,1,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,5,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,1,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,1,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,1,4,7,6,3]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,1,6,3,4,7]=>[[1,3,4,7],[2,5,6]]=>5 [2,5,1,6,3,7,4]=>[[1,3,4,7],[2,5,6]]=>5 [2,5,1,6,4,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,1,6,4,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,1,6,7,3,4]=>[[1,3,4,7],[2,5,6]]=>5 [2,5,1,6,7,4,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,1,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,5,1,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,5,1,7,4,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,1,7,4,6,3]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,1,7,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,5,1,7,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,5,3,1,4,6,7]=>[[1,3,4,6,7],[2],[5]]=>5 [2,5,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [2,5,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>5 [2,5,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,3,4,6,1,7]=>[[1,3,4,6,7],[2],[5]]=>5 [2,5,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>5 [2,5,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,3,6,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,3,7,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [2,5,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>4 [2,5,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [2,5,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [2,5,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>4 [2,5,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [2,5,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]=>4 [2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]=>4 [2,5,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [2,5,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,4,6,3,1,7]=>[[1,3,6,7],[2],[4],[5]]=>4 [2,5,4,6,3,7,1]=>[[1,3,6,7],[2],[4],[5]]=>4 [2,5,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5]]=>4 [2,5,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [2,5,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [2,5,4,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [2,5,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>3 [2,5,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [2,5,6,1,3,4,7]=>[[1,3,4,7],[2,5,6]]=>5 [2,5,6,1,3,7,4]=>[[1,3,4,7],[2,5,6]]=>5 [2,5,6,1,4,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,6,1,4,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,6,1,7,3,4]=>[[1,3,4,7],[2,5,6]]=>5 [2,5,6,1,7,4,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,6,3,1,7,4]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,6,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,6,3,7,1,4]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,6,3,7,4,1]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,6,4,1,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,6,4,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,6,4,3,1,7]=>[[1,3,6,7],[2],[4],[5]]=>4 [2,5,6,4,3,7,1]=>[[1,3,6,7],[2],[4],[5]]=>4 [2,5,6,4,7,1,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,6,4,7,3,1]=>[[1,3,6,7],[2],[4],[5]]=>4 [2,5,6,7,1,3,4]=>[[1,3,4,7],[2,5,6]]=>5 [2,5,6,7,1,4,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,6,7,3,1,4]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,6,7,3,4,1]=>[[1,3,4,7],[2,6],[5]]=>5 [2,5,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5]]=>4 [2,5,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5]]=>4 [2,5,7,1,3,4,6]=>[[1,3,4,6],[2,5,7]]=>4 [2,5,7,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,5,7,1,4,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,7,1,4,6,3]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,5,7,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,5,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,7,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [2,5,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>4 [2,5,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>4 [2,5,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [2,5,7,4,1,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [2,5,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [2,5,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [2,5,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [2,5,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>3 [2,5,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [2,5,7,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,5,7,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,5,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [2,5,7,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [2,5,7,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,5,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>3 [2,6,1,3,4,5,7]=>[[1,3,4,5,7],[2,6]]=>5 [2,6,1,3,4,7,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,6,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,6,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,6,1,3,7,4,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,6,1,3,7,5,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,6,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,6,1,4,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,1,4,7,5,3]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,6,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,1,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,1,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,1,7,3,4,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,6,1,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,1,7,4,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,1,7,4,5,3]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,1,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,1,7,5,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,3,1,4,5,7]=>[[1,3,4,5,7],[2],[6]]=>5 [2,6,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,6,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,6,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [2,6,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]=>5 [2,6,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>5 [2,6,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>5 [2,6,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,6,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,6,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>4 [2,6,3,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>4 [2,6,3,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]=>4 [2,6,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]=>4 [2,6,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [2,6,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>4 [2,6,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [2,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,6,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,6,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,6,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [2,6,4,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]=>4 [2,6,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [2,6,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>4 [2,6,4,3,5,7,1]=>[[1,3,5,7],[2],[4],[6]]=>4 [2,6,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [2,6,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [2,6,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [2,6,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,6,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>4 [2,6,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6]]=>4 [2,6,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]=>4 [2,6,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]=>4 [2,6,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [2,6,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [2,6,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>4 [2,6,4,7,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [2,6,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [2,6,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,5,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,5,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,5,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>4 [2,6,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [2,6,5,3,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>4 [2,6,5,3,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>4 [2,6,5,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [2,6,5,3,7,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [2,6,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,5,4,1,7,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>3 [2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>3 [2,6,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>3 [2,6,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [2,6,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [2,6,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,5,7,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>3 [2,6,7,1,3,4,5]=>[[1,3,4,5],[2,6,7]]=>5 [2,6,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,7,1,4,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,7,1,4,5,3]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,7,1,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,7,1,5,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [2,6,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>5 [2,6,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>4 [2,6,7,3,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [2,6,7,4,1,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [2,6,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [2,6,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [2,6,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [2,6,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>4 [2,6,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [2,6,7,5,1,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [2,6,7,5,1,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [2,6,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [2,6,7,5,4,1,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [2,6,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>3 [2,7,1,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>5 [2,7,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,7,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,7,1,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,7,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,7,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,7,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,7,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,7,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,7,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,7,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,7,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,7,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,7,1,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,7,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,1,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,1,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [2,7,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7]]=>5 [2,7,3,1,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,7,3,1,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,7,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,7,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,7,3,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7]]=>5 [2,7,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,7,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7]]=>5 [2,7,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>5 [2,7,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,7,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>4 [2,7,3,5,1,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,7,3,5,1,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,7,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>4 [2,7,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>4 [2,7,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>4 [2,7,3,5,6,4,1]=>[[1,3,4,6],[2],[5],[7]]=>4 [2,7,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,7,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,3,6,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>4 [2,7,3,6,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>4 [2,7,3,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>3 [2,7,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,7,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,7,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,7,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,7,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,4,3,1,5,6]=>[[1,3,5,6],[2],[4],[7]]=>4 [2,7,4,3,1,6,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [2,7,4,3,5,1,6]=>[[1,3,5,6],[2],[4],[7]]=>4 [2,7,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>4 [2,7,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [2,7,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [2,7,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [2,7,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,7,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]=>4 [2,7,4,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]=>4 [2,7,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>4 [2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7]]=>4 [2,7,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [2,7,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [2,7,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [2,7,4,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>3 [2,7,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [2,7,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,7,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,5,1,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,7,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,5,3,1,4,6]=>[[1,3,4,6],[2],[5],[7]]=>4 [2,7,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [2,7,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>4 [2,7,5,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>4 [2,7,5,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [2,7,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [2,7,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,5,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]=>3 [2,7,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>3 [2,7,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>3 [2,7,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [2,7,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [2,7,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [2,7,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [2,7,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>3 [2,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [2,7,6,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,6,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [2,7,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]=>4 [2,7,6,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>4 [2,7,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>4 [2,7,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>3 [2,7,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,6,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>3 [2,7,6,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]=>3 [2,7,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [2,7,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>3 [2,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [2,7,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [2,7,6,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>3 [2,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>3 [2,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>2 [3,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>6 [3,1,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>5 [3,1,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>5 [3,1,2,4,6,7,5]=>[[1,2,4,5,7],[3,6]]=>5 [3,1,2,4,7,5,6]=>[[1,2,4,5,6],[3,7]]=>5 [3,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [3,1,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>5 [3,1,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>4 [3,1,2,5,6,4,7]=>[[1,2,4,6,7],[3,5]]=>5 [3,1,2,5,6,7,4]=>[[1,2,4,6,7],[3,5]]=>5 [3,1,2,5,7,4,6]=>[[1,2,4,6],[3,5,7]]=>4 [3,1,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [3,1,2,6,4,5,7]=>[[1,2,4,5,7],[3,6]]=>5 [3,1,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]=>5 [3,1,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [3,1,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [3,1,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>5 [3,1,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6]]=>4 [3,1,2,7,4,5,6]=>[[1,2,4,5,6],[3,7]]=>5 [3,1,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [3,1,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [3,1,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [3,1,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [3,1,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [3,1,4,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>6 [3,1,4,2,5,7,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,1,4,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>5 [3,1,4,2,6,7,5]=>[[1,2,5,7],[3,4,6]]=>5 [3,1,4,2,7,5,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,1,4,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,1,4,5,2,6,7]=>[[1,2,5,6,7],[3,4]]=>6 [3,1,4,5,2,7,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,1,4,5,6,2,7]=>[[1,2,5,6,7],[3,4]]=>6 [3,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>6 [3,1,4,5,7,2,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,1,4,5,7,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,1,4,6,2,5,7]=>[[1,2,5,7],[3,4,6]]=>5 [3,1,4,6,2,7,5]=>[[1,2,5,7],[3,4,6]]=>5 [3,1,4,6,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,1,4,6,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,1,4,6,7,2,5]=>[[1,2,5,7],[3,4,6]]=>5 [3,1,4,6,7,5,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,1,4,7,2,5,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,1,4,7,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,1,4,7,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,1,4,7,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,1,4,7,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,1,4,7,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,1,5,2,4,6,7]=>[[1,2,4,6,7],[3,5]]=>5 [3,1,5,2,4,7,6]=>[[1,2,4,6],[3,5,7]]=>4 [3,1,5,2,6,4,7]=>[[1,2,4,7],[3,5,6]]=>5 [3,1,5,2,6,7,4]=>[[1,2,4,7],[3,5,6]]=>5 [3,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>4 [3,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,1,5,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,1,5,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,1,5,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,1,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5]]=>4 [3,1,5,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>5 [3,1,5,6,2,7,4]=>[[1,2,4,7],[3,5,6]]=>5 [3,1,5,6,4,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,1,5,6,4,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,1,5,6,7,2,4]=>[[1,2,4,7],[3,5,6]]=>5 [3,1,5,6,7,4,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,1,5,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>4 [3,1,5,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,1,5,7,4,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,1,5,7,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>4 [3,1,5,7,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,1,5,7,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>5 [3,1,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>5 [3,1,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [3,1,6,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [3,1,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>5 [3,1,6,2,7,5,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,1,6,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,1,6,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,1,6,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,1,6,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,1,6,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,1,6,4,7,5,2]=>[[1,2,5],[3,4,7],[6]]=>5 [3,1,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [3,1,6,5,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,1,6,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,1,6,5,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,1,6,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,1,6,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,1,6,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>5 [3,1,6,7,2,5,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,1,6,7,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>5 [3,1,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,1,6,7,5,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,1,7,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>5 [3,1,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [3,1,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [3,1,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [3,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [3,1,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [3,1,7,4,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,1,7,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,1,7,4,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,1,7,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,1,7,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,1,7,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,1,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [3,1,7,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,1,7,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,1,7,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,1,7,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,1,7,5,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,1,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [3,1,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [3,1,7,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,1,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,1,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [3,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>5 [3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,1,4,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,1,4,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,2,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,1,5,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,2,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,1,6,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,2,1,6,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,1,7,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,1,7,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,1,7,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [3,2,4,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>5 [3,2,4,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,4,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,4,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,4,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,4,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,4,5,1,6,7]=>[[1,4,5,6,7],[2],[3]]=>5 [3,2,4,5,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,4,5,6,1,7]=>[[1,4,5,6,7],[2],[3]]=>5 [3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>5 [3,2,4,5,7,1,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,4,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,4,6,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,4,6,1,7,5]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,4,6,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,4,6,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,4,6,7,1,5]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,4,6,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,4,7,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,4,7,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,4,7,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,4,7,5,6,1]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,4,7,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,2,5,1,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,1,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,5,4,1,6,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,2,5,4,6,1,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,4,6,7,1]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,4,7,1,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]=>3 [3,2,5,6,1,4,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,6,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,6,4,1,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,6,4,7,1]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,6,7,1,4]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,6,7,4,1]=>[[1,4,6,7],[2,5],[3]]=>4 [3,2,5,7,1,4,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,2,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,5,7,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,2,5,7,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>3 [3,2,5,7,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,5,7,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,2,6,1,4,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,6,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,2,6,1,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,6,1,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,6,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,2,6,1,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,6,4,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,6,4,1,7,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,2,6,4,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,6,4,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>4 [3,2,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,2,6,4,7,5,1]=>[[1,4,5],[2,6,7],[3]]=>4 [3,2,6,5,1,4,7]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,6,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,2,6,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,2,6,5,7,1,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,6,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,2,6,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,2,6,7,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,6,7,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>4 [3,2,6,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,2,6,7,5,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,7,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [3,2,7,4,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,7,4,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,7,4,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,7,4,5,6,1]=>[[1,4,5,6],[2,7],[3]]=>4 [3,2,7,4,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,7,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,2,7,5,1,4,6]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,7,5,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,7,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,2,7,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,2,7,5,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,2,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,2,7,6,1,4,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [3,2,7,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,2,7,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>2 [3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>6 [3,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,4,1,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>5 [3,4,1,2,6,7,5]=>[[1,2,5,7],[3,4,6]]=>5 [3,4,1,2,7,5,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,4,1,5,2,6,7]=>[[1,2,5,6,7],[3,4]]=>6 [3,4,1,5,2,7,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,4,1,5,6,2,7]=>[[1,2,5,6,7],[3,4]]=>6 [3,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>6 [3,4,1,5,7,2,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,4,1,5,7,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,1,6,2,5,7]=>[[1,2,5,7],[3,4,6]]=>5 [3,4,1,6,2,7,5]=>[[1,2,5,7],[3,4,6]]=>5 [3,4,1,6,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,1,6,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,1,6,7,2,5]=>[[1,2,5,7],[3,4,6]]=>5 [3,4,1,6,7,5,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,1,7,2,5,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,4,1,7,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,4,1,7,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,1,7,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,1,7,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,4,1,7,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,4,2,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>5 [3,4,2,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,2,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,2,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,2,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,2,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,4,2,5,1,6,7]=>[[1,4,5,6,7],[2],[3]]=>5 [3,4,2,5,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,2,5,6,1,7]=>[[1,4,5,6,7],[2],[3]]=>5 [3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>5 [3,4,2,5,7,1,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,2,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,2,6,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,2,6,1,7,5]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,2,6,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,2,6,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,2,6,7,1,5]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,2,6,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,2,7,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,2,7,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,4,2,7,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,2,7,5,6,1]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,2,7,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,4,2,7,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,4,5,1,2,6,7]=>[[1,2,5,6,7],[3,4]]=>6 [3,4,5,1,2,7,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,4,5,1,6,2,7]=>[[1,2,5,6,7],[3,4]]=>6 [3,4,5,1,6,7,2]=>[[1,2,5,6,7],[3,4]]=>6 [3,4,5,1,7,2,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,4,5,1,7,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,5,2,1,6,7]=>[[1,4,5,6,7],[2],[3]]=>5 [3,4,5,2,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,5,2,6,1,7]=>[[1,4,5,6,7],[2],[3]]=>5 [3,4,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>5 [3,4,5,2,7,1,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,5,2,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,5,6,1,2,7]=>[[1,2,5,6,7],[3,4]]=>6 [3,4,5,6,1,7,2]=>[[1,2,5,6,7],[3,4]]=>6 [3,4,5,6,2,1,7]=>[[1,4,5,6,7],[2],[3]]=>5 [3,4,5,6,2,7,1]=>[[1,4,5,6,7],[2],[3]]=>5 [3,4,5,6,7,1,2]=>[[1,2,5,6,7],[3,4]]=>6 [3,4,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3]]=>5 [3,4,5,7,1,2,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,4,5,7,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,5,7,2,1,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,5,7,2,6,1]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,5,7,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,5,7,6,2,1]=>[[1,4,5,6],[2],[3],[7]]=>4 [3,4,6,1,2,5,7]=>[[1,2,5,7],[3,4,6]]=>5 [3,4,6,1,2,7,5]=>[[1,2,5,7],[3,4,6]]=>5 [3,4,6,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,6,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6]]=>5 [3,4,6,1,7,5,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,6,2,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,6,2,1,7,5]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,6,2,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,6,2,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,6,2,7,1,5]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,6,2,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,6,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,6,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,6,5,2,1,7]=>[[1,4,5,7],[2],[3],[6]]=>4 [3,4,6,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]=>4 [3,4,6,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,6,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>4 [3,4,6,7,1,2,5]=>[[1,2,5,7],[3,4,6]]=>5 [3,4,6,7,1,5,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,6,7,2,1,5]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,6,7,2,5,1]=>[[1,4,5,7],[2,6],[3]]=>4 [3,4,6,7,5,1,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,4,6,7,5,2,1]=>[[1,4,5,7],[2],[3],[6]]=>4 [3,4,7,1,2,5,6]=>[[1,2,5,6],[3,4,7]]=>5 [3,4,7,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,4,7,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,7,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,4,7,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,4,7,2,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,7,2,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,4,7,2,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,7,2,5,6,1]=>[[1,4,5,6],[2,7],[3]]=>4 [3,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,4,7,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,4,7,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,7,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,7,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]=>4 [3,4,7,5,2,6,1]=>[[1,4,5,6],[2],[3],[7]]=>4 [3,4,7,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,4,7,5,6,2,1]=>[[1,4,5,6],[2],[3],[7]]=>4 [3,4,7,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,4,7,6,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,4,7,6,2,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,4,7,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,4,7,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>3 [3,5,1,2,4,6,7]=>[[1,2,4,6,7],[3,5]]=>5 [3,5,1,2,4,7,6]=>[[1,2,4,6],[3,5,7]]=>4 [3,5,1,2,6,4,7]=>[[1,2,4,7],[3,5,6]]=>5 [3,5,1,2,6,7,4]=>[[1,2,4,7],[3,5,6]]=>5 [3,5,1,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>4 [3,5,1,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,1,4,7,6,2]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>5 [3,5,1,6,2,7,4]=>[[1,2,4,7],[3,5,6]]=>5 [3,5,1,6,4,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,1,6,4,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,1,6,7,2,4]=>[[1,2,4,7],[3,5,6]]=>5 [3,5,1,6,7,4,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,1,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>4 [3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,5,1,7,4,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,1,7,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,1,7,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,5,1,7,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,5,2,1,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,1,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,2,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,2,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,5,2,4,1,6,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,2,4,6,1,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,4,6,7,1]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,4,7,1,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,2,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,2,6,1,4,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,6,4,1,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,6,4,7,1]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,6,7,1,4]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,6,7,4,1]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,2,7,1,4,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,5,2,7,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,2,7,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,2,7,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,5,2,7,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,5,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [3,5,4,2,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>4 [3,5,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [3,5,4,2,6,1,7]=>[[1,4,6,7],[2],[3],[5]]=>4 [3,5,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5]]=>4 [3,5,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [3,5,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [3,5,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,4,6,2,1,7]=>[[1,4,6,7],[2],[3],[5]]=>4 [3,5,4,6,2,7,1]=>[[1,4,6,7],[2],[3],[5]]=>4 [3,5,4,6,7,1,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5]]=>4 [3,5,4,7,1,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,4,7,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [3,5,4,7,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [3,5,4,7,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [3,5,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>4 [3,5,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [3,5,6,1,2,4,7]=>[[1,2,4,7],[3,5,6]]=>5 [3,5,6,1,2,7,4]=>[[1,2,4,7],[3,5,6]]=>5 [3,5,6,1,4,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,6,1,4,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,6,1,7,2,4]=>[[1,2,4,7],[3,5,6]]=>5 [3,5,6,1,7,4,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,6,2,1,4,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,6,2,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,6,2,4,1,7]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,6,2,4,7,1]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,6,2,7,4,1]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,6,4,1,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,6,4,1,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,6,4,2,1,7]=>[[1,4,6,7],[2],[3],[5]]=>4 [3,5,6,4,2,7,1]=>[[1,4,6,7],[2],[3],[5]]=>4 [3,5,6,4,7,1,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,6,4,7,2,1]=>[[1,4,6,7],[2],[3],[5]]=>4 [3,5,6,7,1,2,4]=>[[1,2,4,7],[3,5,6]]=>5 [3,5,6,7,1,4,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,6,7,2,1,4]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,6,7,2,4,1]=>[[1,4,6,7],[2,5],[3]]=>4 [3,5,6,7,4,1,2]=>[[1,2,6,7],[3,4],[5]]=>5 [3,5,6,7,4,2,1]=>[[1,4,6,7],[2],[3],[5]]=>4 [3,5,7,1,2,4,6]=>[[1,2,4,6],[3,5,7]]=>4 [3,5,7,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,5,7,1,4,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,7,1,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,5,7,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,5,7,2,1,4,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,7,2,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,7,2,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>3 [3,5,7,2,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,5,7,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,5,7,4,1,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [3,5,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [3,5,7,4,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [3,5,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [3,5,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>4 [3,5,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [3,5,7,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,5,7,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,5,7,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,5,7,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,5,7,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,5,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>3 [3,6,1,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>5 [3,6,1,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>5 [3,6,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [3,6,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [3,6,1,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>5 [3,6,1,2,7,5,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,6,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,6,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,1,4,7,5,2]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [3,6,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,1,5,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>5 [3,6,1,7,2,5,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,1,7,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,1,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,1,7,5,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,2,1,4,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,6,2,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,2,1,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>3 [3,6,2,1,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,6,2,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,2,1,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,6,2,4,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,6,2,4,1,7,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,2,4,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>4 [3,6,2,4,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>4 [3,6,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,2,5,1,4,7]=>[[1,4,7],[2,5],[3,6]]=>3 [3,6,2,5,1,7,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,6,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,2,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,2,5,7,1,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,6,2,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,2,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,6,2,7,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,2,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,6,2,7,5,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,4,1,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,6,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,6,4,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,6,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [3,6,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6]]=>4 [3,6,4,2,1,7,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [3,6,4,2,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>4 [3,6,4,2,5,7,1]=>[[1,4,5,7],[2],[3],[6]]=>4 [3,6,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [3,6,4,2,7,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [3,6,4,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [3,6,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,6,4,5,2,1,7]=>[[1,4,5,7],[2],[3],[6]]=>4 [3,6,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]=>4 [3,6,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>5 [3,6,4,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>4 [3,6,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [3,6,4,7,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [3,6,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [3,6,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>5 [3,6,4,7,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [3,6,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [3,6,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,5,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,5,2,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,5,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>3 [3,6,5,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]=>3 [3,6,5,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>3 [3,6,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,5,7,1,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,5,7,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>3 [3,6,7,1,2,4,5]=>[[1,2,4,5],[3,6,7]]=>5 [3,6,7,1,2,5,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,7,1,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,7,1,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,7,1,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,7,1,5,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,7,2,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,6,7,2,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,7,2,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>4 [3,6,7,2,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>3 [3,6,7,2,5,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,7,4,1,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [3,6,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [3,6,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [3,6,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [3,6,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>5 [3,6,7,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [3,6,7,5,1,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [3,6,7,5,1,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,7,5,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,7,5,2,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [3,6,7,5,4,1,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [3,6,7,5,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>3 [3,7,1,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>5 [3,7,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [3,7,1,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [3,7,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [3,7,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [3,7,1,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [3,7,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,7,1,4,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,7,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [3,7,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,7,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,7,1,5,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [3,7,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [3,7,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [3,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [3,7,2,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,7,2,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,7,2,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>3 [3,7,2,1,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,7,2,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,7,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [3,7,2,4,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,7,2,4,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,7,2,4,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>4 [3,7,2,4,5,6,1]=>[[1,4,5,6],[2,7],[3]]=>4 [3,7,2,4,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,7,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,2,5,1,4,6]=>[[1,4,6],[2,5],[3,7]]=>3 [3,7,2,5,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,7,2,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,2,5,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>3 [3,7,2,5,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,2,6,1,4,5]=>[[1,4,5],[2,6],[3,7]]=>3 [3,7,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [3,7,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [3,7,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>2 [3,7,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,7,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,7,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,7,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,7,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,7,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7]]=>4 [3,7,4,2,1,6,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,4,2,5,1,6]=>[[1,4,5,6],[2],[3],[7]]=>4 [3,7,4,2,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>4 [3,7,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [3,7,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,7,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]=>4 [3,7,4,5,2,6,1]=>[[1,4,5,6],[2],[3],[7]]=>4 [3,7,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>5 [3,7,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7]]=>4 [3,7,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [3,7,4,6,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,4,6,2,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>3 [3,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [3,7,5,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,7,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,7,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,5,4,1,2,6]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,5,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,5,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7]]=>3 [3,7,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>3 [3,7,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>3 [3,7,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [3,7,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [3,7,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [3,7,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>3 [3,7,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [3,7,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [3,7,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,6,1,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,6,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [3,7,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [3,7,6,2,1,4,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [3,7,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [3,7,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [3,7,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>2 [3,7,6,4,1,2,5]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,6,4,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>3 [3,7,6,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7]]=>3 [3,7,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [3,7,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>3 [3,7,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [3,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [3,7,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>2 [3,7,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>2 [3,7,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [3,7,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>2 [4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>6 [4,1,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>5 [4,1,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>5 [4,1,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>5 [4,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>5 [4,1,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [4,1,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]=>6 [4,1,2,5,3,7,6]=>[[1,2,3,6],[4,5,7]]=>5 [4,1,2,5,6,3,7]=>[[1,2,3,6,7],[4,5]]=>6 [4,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>6 [4,1,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]=>5 [4,1,2,5,7,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [4,1,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>5 [4,1,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]=>5 [4,1,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [4,1,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [4,1,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]=>5 [4,1,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>5 [4,1,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>5 [4,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [4,1,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [4,1,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [4,1,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [4,1,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [4,1,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>5 [4,1,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,1,3,5,2,6,7]=>[[1,2,5,6,7],[3],[4]]=>5 [4,1,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4]]=>5 [4,1,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>5 [4,1,3,5,7,2,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,1,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,1,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [4,1,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>6 [4,1,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>5 [4,1,5,2,6,3,7]=>[[1,2,3,7],[4,5,6]]=>6 [4,1,5,2,6,7,3]=>[[1,2,3,7],[4,5,6]]=>6 [4,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>5 [4,1,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,1,5,3,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,1,5,3,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,1,5,3,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,1,5,3,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,1,5,3,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,1,5,3,7,6,2]=>[[1,2,6],[3,5,7],[4]]=>4 [4,1,5,6,2,3,7]=>[[1,2,3,7],[4,5,6]]=>6 [4,1,5,6,2,7,3]=>[[1,2,3,7],[4,5,6]]=>6 [4,1,5,6,3,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,1,5,6,3,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,1,5,6,7,2,3]=>[[1,2,3,7],[4,5,6]]=>6 [4,1,5,6,7,3,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>5 [4,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,1,5,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,1,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>4 [4,1,5,7,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,1,5,7,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>5 [4,1,6,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>5 [4,1,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [4,1,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [4,1,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>5 [4,1,6,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,1,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,6,3,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,1,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>4 [4,1,6,3,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,1,6,3,7,5,2]=>[[1,2,5],[3,6,7],[4]]=>4 [4,1,6,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [4,1,6,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,1,6,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,1,6,5,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,1,6,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,1,6,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,1,6,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>5 [4,1,6,7,2,5,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,1,6,7,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,1,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>4 [4,1,6,7,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,1,6,7,5,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>5 [4,1,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [4,1,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [4,1,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [4,1,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [4,1,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [4,1,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,1,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>4 [4,1,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,1,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [4,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [4,1,7,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,1,7,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,1,7,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,1,7,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,1,7,5,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,1,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [4,1,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [4,1,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [4,1,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [4,1,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [4,1,7,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [4,2,1,3,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>5 [4,2,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,1,3,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,1,5,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,1,5,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,2,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,1,5,7,3,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,2,1,5,7,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,1,6,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,2,1,6,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,1,6,5,7,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,1,6,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,2,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,1,7,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>5 [4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4]]=>5 [4,2,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,3,5,6,1,7]=>[[1,3,5,6,7],[2],[4]]=>5 [4,2,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>5 [4,2,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,2,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,1,6,7,3]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,1,7,3,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,2,5,1,7,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,5,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,3,1,7,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,2,5,3,6,1,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,3,6,7,1]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,3,7,1,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,2,5,3,7,6,1]=>[[1,3,6],[2,5,7],[4]]=>4 [4,2,5,6,1,3,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,6,3,1,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,6,3,7,1]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,6,7,1,3]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,6,7,3,1]=>[[1,3,6,7],[2,5],[4]]=>5 [4,2,5,7,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,5,7,3,1,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,2,5,7,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>4 [4,2,5,7,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,5,7,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,6,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,6,1,5,7,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,2,6,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,6,3,1,7,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,2,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>4 [4,2,6,3,7,1,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,2,6,3,7,5,1]=>[[1,3,5],[2,6,7],[4]]=>4 [4,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,2,6,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,2,6,5,7,1,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,6,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,2,6,7,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,2,6,7,1,5,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,6,7,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,2,6,7,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>4 [4,2,6,7,5,1,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,2,6,7,5,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,2,7,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,7,1,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [4,2,7,3,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,7,3,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>4 [4,2,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [4,2,7,5,1,3,6]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,7,5,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,7,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,2,7,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,2,7,5,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,2,7,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,2,7,6,1,3,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,2,7,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [4,2,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [4,2,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [4,2,7,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [4,2,7,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>3 [4,3,1,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>5 [4,3,1,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,3,1,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,3,1,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>4 [4,3,1,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,3,1,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,3,1,5,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,3,1,5,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,3,1,5,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,3,1,5,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,3,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,1,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,3,1,6,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,3,1,6,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,1,6,5,7,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,1,6,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,3,1,6,7,5,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,1,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,3,1,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,3,1,7,5,2,6]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,1,7,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,1,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,2,1,7,5,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,3,2,5,1,6,7]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,3,2,5,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,2,5,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,3,2,5,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,2,5,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,2,6,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,2,6,1,7,5]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,2,6,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,2,6,5,7,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,2,6,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,2,7,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,2,7,1,6,5]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,3,2,7,5,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,2,7,5,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,2,7,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,3,5,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,3,5,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,3,5,1,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,3,5,1,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,3,5,1,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,3,5,1,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,5,2,1,6,7]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,3,5,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,5,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,3,5,2,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,3,5,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,5,2,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,5,6,1,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,3,5,6,1,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,3,5,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,3,5,6,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,3,5,6,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,3,5,7,1,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,3,5,7,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,5,7,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,5,7,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,5,7,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,5,7,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,6,1,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,3,6,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,3,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,6,1,5,7,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,3,6,1,7,5,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,6,2,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,2,1,7,5]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,2,5,7,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,2,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,5,1,2,7]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,6,5,1,7,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,6,5,2,1,7]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,5,2,7,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,5,7,1,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,6,5,7,2,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,3,6,7,1,5,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,6,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,7,2,5,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,6,7,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,3,6,7,5,2,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,3,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,3,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,3,7,1,5,2,6]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,7,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,7,1,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,3,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [4,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,7,2,1,6,5]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,3,7,2,5,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,7,2,5,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,3,7,2,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,3,7,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,7,5,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,7,5,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,7,5,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,7,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,3,7,5,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,3,7,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,3,7,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [4,3,7,6,2,1,5]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,3,7,6,2,5,1]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,3,7,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [4,3,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>2 [4,5,1,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>6 [4,5,1,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>5 [4,5,1,2,6,3,7]=>[[1,2,3,7],[4,5,6]]=>6 [4,5,1,2,6,7,3]=>[[1,2,3,7],[4,5,6]]=>6 [4,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>5 [4,5,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,5,1,3,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,1,3,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,1,3,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,1,3,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,1,6,2,3,7]=>[[1,2,3,7],[4,5,6]]=>6 [4,5,1,6,2,7,3]=>[[1,2,3,7],[4,5,6]]=>6 [4,5,1,6,3,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,1,6,3,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,1,6,7,2,3]=>[[1,2,3,7],[4,5,6]]=>6 [4,5,1,6,7,3,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,1,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>5 [4,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,5,1,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,1,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,1,7,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,5,1,7,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,5,2,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,2,1,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,1,6,7,3]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,1,7,3,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,2,1,7,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,5,2,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,3,1,7,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,2,3,6,1,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,3,7,1,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,2,6,1,3,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,6,3,1,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,6,3,7,1]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,6,7,1,3]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,6,7,3,1]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,2,7,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,2,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,5,2,7,3,1,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,2,7,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,2,7,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,5,2,7,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,3,1,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,3,1,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,3,1,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,3,1,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,5,3,2,1,6,7]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,5,3,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,5,3,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,5,3,2,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,5,3,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,5,3,2,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,5,3,6,1,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,3,6,1,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,3,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,5,3,6,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,5,3,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,3,6,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,5,3,7,1,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,3,7,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,5,3,7,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,5,3,7,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,5,3,7,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,5,3,7,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>6 [4,5,6,1,2,7,3]=>[[1,2,3,7],[4,5,6]]=>6 [4,5,6,1,3,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,6,1,3,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,6,1,7,2,3]=>[[1,2,3,7],[4,5,6]]=>6 [4,5,6,1,7,3,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,6,2,1,3,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,6,2,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,6,2,3,1,7]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,6,2,3,7,1]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,6,2,7,1,3]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,6,2,7,3,1]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,6,3,1,2,7]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,6,3,1,7,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,5,6,3,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,5,6,3,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,6,3,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,5,6,7,1,2,3]=>[[1,2,3,7],[4,5,6]]=>6 [4,5,6,7,1,3,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,6,7,2,1,3]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4]]=>5 [4,5,6,7,3,1,2]=>[[1,2,6,7],[3,5],[4]]=>5 [4,5,6,7,3,2,1]=>[[1,5,6,7],[2],[3],[4]]=>4 [4,5,7,1,2,3,6]=>[[1,2,3,6],[4,5,7]]=>5 [4,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,5,7,1,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,7,1,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,7,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,5,7,1,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,5,7,2,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,7,2,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,5,7,2,3,1,6]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,7,2,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>4 [4,5,7,2,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,5,7,2,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,5,7,3,1,2,6]=>[[1,2,6],[3,5,7],[4]]=>4 [4,5,7,3,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,5,7,3,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,5,7,3,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,5,7,3,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,5,7,3,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,5,7,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,5,7,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,5,7,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,5,7,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,5,7,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,5,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>3 [4,6,1,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>5 [4,6,1,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>5 [4,6,1,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [4,6,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [4,6,1,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>5 [4,6,1,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,1,3,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,6,1,3,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,1,3,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,6,1,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>4 [4,6,1,3,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,1,3,7,5,2]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [4,6,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,1,5,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,1,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>5 [4,6,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,1,7,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,1,7,5,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,6,2,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,2,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>4 [4,6,2,1,5,7,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,6,2,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,2,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,6,2,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,6,2,3,1,7,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,2,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>4 [4,6,2,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>4 [4,6,2,3,7,1,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,2,3,7,5,1]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,2,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>4 [4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,6,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,2,5,7,1,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,6,2,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,2,7,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,2,7,1,5,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,6,2,7,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,2,7,5,1,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,6,2,7,5,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,3,1,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>4 [4,6,3,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,3,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>4 [4,6,3,1,5,7,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,6,3,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,3,1,7,5,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,6,3,2,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,2,1,7,5]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,2,5,7,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,2,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,5,1,2,7]=>[[1,2,7],[3,5],[4,6]]=>4 [4,6,3,5,1,7,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,6,3,5,2,1,7]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,5,2,7,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,5,7,1,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,6,3,5,7,2,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,7,2,5,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,6,3,7,5,2,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [4,6,5,1,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,5,1,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,5,1,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,5,2,1,3,7]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,5,2,1,7,3]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,5,2,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,5,2,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,5,3,1,2,7]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,5,3,1,7,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>3 [4,6,5,3,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>3 [4,6,5,3,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,5,3,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>3 [4,6,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,5,7,3,1,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>3 [4,6,7,1,2,3,5]=>[[1,2,3,5],[4,6,7]]=>5 [4,6,7,1,2,5,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,7,1,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,7,1,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,7,1,5,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,7,2,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,7,2,1,5,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,6,7,2,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,7,2,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>4 [4,6,7,2,5,1,3]=>[[1,3,7],[2,5],[4,6]]=>4 [4,6,7,2,5,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,7,3,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>4 [4,6,7,3,1,5,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,6,7,3,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,7,3,2,5,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,7,3,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>4 [4,6,7,3,5,2,1]=>[[1,5,7],[2,6],[3],[4]]=>3 [4,6,7,5,1,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [4,6,7,5,1,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,7,5,2,1,3]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,7,5,2,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [4,6,7,5,3,1,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [4,6,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>3 [4,7,1,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>5 [4,7,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [4,7,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [4,7,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [4,7,1,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [4,7,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [4,7,1,3,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,7,1,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,7,1,3,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,7,1,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>4 [4,7,1,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,7,1,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [4,7,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [4,7,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,7,1,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,1,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,7,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [4,7,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [4,7,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [4,7,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [4,7,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [4,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [4,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,7,2,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,7,2,1,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>4 [4,7,2,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,7,2,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,7,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [4,7,2,3,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,7,2,3,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,7,2,3,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>4 [4,7,2,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>4 [4,7,2,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,7,2,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [4,7,2,5,1,3,6]=>[[1,3,6],[2,5],[4,7]]=>4 [4,7,2,5,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,7,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>4 [4,7,2,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,2,6,1,3,5]=>[[1,3,5],[2,6],[4,7]]=>3 [4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [4,7,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [4,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [4,7,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>3 [4,7,3,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>4 [4,7,3,1,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,7,3,1,5,2,6]=>[[1,2,6],[3,5],[4,7]]=>4 [4,7,3,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,7,3,1,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [4,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,7,3,2,1,6,5]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,7,3,2,5,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,7,3,2,5,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,7,3,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,7,3,2,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,7,3,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]=>4 [4,7,3,5,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,7,3,5,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,7,3,5,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,7,3,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>4 [4,7,3,5,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>3 [4,7,3,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]=>3 [4,7,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [4,7,3,6,2,1,5]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,7,3,6,2,5,1]=>[[1,5],[2,6],[3,7],[4]]=>2 [4,7,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [4,7,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>2 [4,7,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [4,7,5,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,7,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,7,5,1,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,5,2,1,6,3]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,5,2,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,5,3,1,2,6]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,5,3,1,6,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>3 [4,7,5,3,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>3 [4,7,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,5,3,6,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>3 [4,7,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [4,7,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [4,7,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [4,7,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>3 [4,7,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [4,7,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [4,7,6,1,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [4,7,6,1,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [4,7,6,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [4,7,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [4,7,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [4,7,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [4,7,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [4,7,6,2,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [4,7,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [4,7,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>3 [4,7,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [4,7,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [4,7,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>2 [4,7,6,3,2,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>2 [4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [4,7,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>2 [4,7,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [4,7,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [4,7,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>3 [4,7,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>3 [4,7,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [4,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>2 [5,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>6 [5,1,2,3,4,7,6]=>[[1,2,3,4,6],[5,7]]=>5 [5,1,2,3,6,4,7]=>[[1,2,3,4,7],[5,6]]=>6 [5,1,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>6 [5,1,2,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>5 [5,1,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [5,1,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>5 [5,1,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]=>5 [5,1,2,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]=>5 [5,1,2,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,2,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>6 [5,1,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]=>6 [5,1,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,2,6,7,3,4]=>[[1,2,3,4],[5,6,7]]=>6 [5,1,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>5 [5,1,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [5,1,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [5,1,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [5,1,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>5 [5,1,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,1,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>5 [5,1,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]=>5 [5,1,3,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]=>5 [5,1,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,1,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,1,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [5,1,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>5 [5,1,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,1,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>4 [5,1,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,1,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]=>4 [5,1,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]=>4 [5,1,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,1,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,1,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>4 [5,1,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>4 [5,1,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5]]=>4 [5,1,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,1,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,1,4,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,1,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,1,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,1,6,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>6 [5,1,6,2,3,7,4]=>[[1,2,3,4],[5,6,7]]=>6 [5,1,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>6 [5,1,6,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,1,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,6,3,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,1,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>5 [5,1,6,3,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,1,6,3,7,4,2]=>[[1,2,4],[3,6,7],[5]]=>5 [5,1,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,1,6,4,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,1,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,1,6,4,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,1,6,4,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,1,6,4,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,1,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>6 [5,1,6,7,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,1,6,7,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,1,6,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>5 [5,1,6,7,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,1,6,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,1,7,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>5 [5,1,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [5,1,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [5,1,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [5,1,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,1,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>4 [5,1,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,1,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [5,1,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,1,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,1,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,1,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,1,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,1,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,1,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [5,1,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [5,1,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [5,1,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [5,1,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [5,1,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [5,2,1,3,4,6,7]=>[[1,3,4,6,7],[2],[5]]=>5 [5,2,1,3,4,7,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,1,3,6,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,1,3,6,7,4]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,1,3,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,1,3,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>4 [5,2,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>3 [5,2,1,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [5,2,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [5,2,1,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [5,2,1,4,7,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,1,6,3,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,1,6,3,7,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,2,1,6,4,3,7]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,1,6,4,7,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,1,6,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,2,1,6,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,1,7,3,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,1,7,4,3,6]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,1,7,4,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,1,7,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,1,7,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [5,2,3,1,4,6,7]=>[[1,3,4,6,7],[2],[5]]=>5 [5,2,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>5 [5,2,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,3,4,6,1,7]=>[[1,3,4,6,7],[2],[5]]=>5 [5,2,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>5 [5,2,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,3,6,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,3,7,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [5,2,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>4 [5,2,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>3 [5,2,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [5,2,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [5,2,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [5,2,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>4 [5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,2,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]=>4 [5,2,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]=>4 [5,2,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,2,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,2,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5]]=>4 [5,2,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>4 [5,2,4,6,3,1,7]=>[[1,3,6,7],[2],[4],[5]]=>4 [5,2,4,6,3,7,1]=>[[1,3,6,7],[2],[4],[5]]=>4 [5,2,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5]]=>4 [5,2,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5]]=>4 [5,2,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5]]=>3 [5,2,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,2,4,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,2,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,2,6,1,3,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,6,1,3,7,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,2,6,1,4,3,7]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,6,1,4,7,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,6,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,2,6,1,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,6,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,2,6,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>5 [5,2,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,2,6,3,7,4,1]=>[[1,3,4],[2,6,7],[5]]=>5 [5,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,6,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,6,4,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,2,6,4,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,2,6,4,7,1,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,6,4,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,2,6,7,1,4,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,6,7,3,1,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,2,6,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>5 [5,2,6,7,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,2,6,7,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,2,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,7,1,3,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,7,1,4,3,6]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,7,1,4,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,7,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [5,2,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,7,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>4 [5,2,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [5,2,7,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,2,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,2,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,2,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,2,7,6,1,3,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [5,2,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [5,2,7,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [5,2,7,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [5,2,7,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>3 [5,3,1,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>5 [5,3,1,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,3,1,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,3,1,2,6,7,4]=>[[1,2,4,7],[3,6],[5]]=>5 [5,3,1,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,3,1,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,3,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>5 [5,3,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>4 [5,3,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [5,3,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [5,3,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [5,3,1,4,7,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,1,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,3,1,6,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,3,1,6,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,1,6,4,7,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,1,6,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,3,1,6,7,4,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,3,1,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,3,1,7,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,1,7,4,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,1,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,3,1,7,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [5,3,2,1,4,6,7]=>[[1,4,6,7],[2],[3],[5]]=>4 [5,3,2,1,4,7,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,2,1,6,4,7]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,2,1,6,7,4]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,2,1,7,4,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>4 [5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,2,4,6,1,7]=>[[1,4,6,7],[2],[3],[5]]=>4 [5,3,2,4,6,7,1]=>[[1,4,6,7],[2],[3],[5]]=>4 [5,3,2,4,7,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,2,4,7,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,2,6,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,2,6,4,7,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,2,6,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,2,6,7,4,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,2,7,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,3,2,7,4,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,2,7,4,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,2,7,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,3,2,7,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,3,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>5 [5,3,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>4 [5,3,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [5,3,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [5,3,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [5,3,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,4,2,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>4 [5,3,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,4,2,6,1,7]=>[[1,4,6,7],[2],[3],[5]]=>4 [5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5]]=>4 [5,3,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5]]=>5 [5,3,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5]]=>5 [5,3,4,6,2,1,7]=>[[1,4,6,7],[2],[3],[5]]=>4 [5,3,4,6,2,7,1]=>[[1,4,6,7],[2],[3],[5]]=>4 [5,3,4,6,7,1,2]=>[[1,2,6,7],[3,4],[5]]=>5 [5,3,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5]]=>4 [5,3,4,7,1,2,6]=>[[1,2,6],[3,4,7],[5]]=>4 [5,3,4,7,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,4,7,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,4,7,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,6,1,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,3,6,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,3,6,1,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,3,6,1,7,4,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,6,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,2,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,2,4,7,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,2,7,4,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,6,4,2,1,7]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,4,2,7,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,6,4,7,2,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,3,6,7,1,4,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,6,7,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,7,2,4,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,6,7,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,3,6,7,4,2,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,3,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,3,7,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,3,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,7,1,4,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [5,3,7,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,3,7,2,4,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,7,2,4,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,3,7,4,1,2,6]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,7,4,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,3,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,3,7,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,3,7,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [5,3,7,6,2,1,4]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,3,7,6,2,4,1]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,3,7,6,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [5,3,7,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>3 [5,4,1,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>5 [5,4,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,4,1,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,4,1,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [5,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,4,1,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,4,1,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>4 [5,4,1,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,1,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]=>4 [5,4,1,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]=>4 [5,4,1,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,1,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,4,1,6,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,4,1,6,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,1,6,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,1,6,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,4,1,6,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,1,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,4,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,4,1,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,1,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,4,1,7,6,3,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,4,2,1,3,6,7]=>[[1,3,6,7],[2],[4],[5]]=>4 [5,4,2,1,3,7,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,2,1,6,3,7]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,2,1,6,7,3]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,2,1,7,3,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,4,2,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>4 [5,4,2,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,2,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]=>4 [5,4,2,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]=>4 [5,4,2,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,2,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,2,6,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,2,6,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,2,6,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,2,6,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,2,7,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,4,2,7,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,2,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,2,7,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,4,2,7,6,3,1]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,4,3,1,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>4 [5,4,3,1,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,3,1,6,2,7]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,3,1,6,7,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,3,1,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,4,3,2,6,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,4,3,2,7,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,4,3,6,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,3,6,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,3,6,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,4,3,6,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,4,3,6,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,3,6,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,4,3,7,1,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,3,7,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,4,3,7,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,4,3,7,2,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,4,3,7,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,4,3,7,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,4,6,1,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,4,6,1,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,4,6,1,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,6,1,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,6,1,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,4,6,1,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,6,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,6,2,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,6,2,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,6,2,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,6,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,6,2,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,6,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,6,3,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,6,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,4,6,3,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,4,6,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,6,3,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,4,6,7,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,4,6,7,1,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,6,7,2,1,3]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,6,7,2,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,4,6,7,3,1,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,4,6,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,4,7,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,4,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,4,7,1,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,7,1,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,7,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,4,7,1,6,3,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,4,7,2,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,4,7,2,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,7,2,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,4,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,4,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,4,7,3,1,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,4,7,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,4,7,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,4,7,3,2,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,4,7,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,4,7,6,1,2,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,4,7,6,1,3,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,4,7,6,2,1,3]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,4,7,6,2,3,1]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,4,7,6,3,1,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,4,7,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>6 [5,6,1,2,3,7,4]=>[[1,2,3,4],[5,6,7]]=>6 [5,6,1,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,6,1,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>5 [5,6,1,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>6 [5,6,1,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,1,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,6,1,3,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,1,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,6,1,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>5 [5,6,1,3,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,1,3,7,4,2]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,1,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,6,1,4,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,1,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,1,4,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,1,4,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,1,4,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,1,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>6 [5,6,1,7,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,1,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,1,7,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,1,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,2,1,3,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,6,2,1,3,7,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,2,1,4,3,7]=>[[1,3,7],[2,4],[5,6]]=>4 [5,6,2,1,4,7,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,6,2,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,2,1,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,2,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>5 [5,6,2,3,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>5 [5,6,2,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,2,3,7,4,1]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>4 [5,6,2,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,6,2,4,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,2,4,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,2,4,7,1,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,6,2,4,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,2,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,2,7,1,4,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,6,2,7,3,1,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,2,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,2,7,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,6,2,7,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,3,1,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>5 [5,6,3,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,3,1,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>5 [5,6,3,1,4,7,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,6,3,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,3,1,7,4,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,2,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,2,4,7,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,2,7,4,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>5 [5,6,3,4,1,7,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,6,3,4,2,1,7]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,4,2,7,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,6,3,4,7,2,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,3,7,1,4,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,6,3,7,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,7,2,4,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,3,7,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,6,3,7,4,2,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,4,1,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>5 [5,6,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,4,1,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,4,1,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,4,1,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,4,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,4,2,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,4,2,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,4,2,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,4,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,4,2,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,4,3,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,4,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,6,4,3,2,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,6,4,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,4,3,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,6,4,7,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,4,7,1,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,4,7,2,1,3]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,4,7,2,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,4,7,3,1,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,4,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7]]=>6 [5,6,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,7,1,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,6,7,2,3,1,4]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>5 [5,6,7,2,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>4 [5,6,7,2,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,7,3,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>5 [5,6,7,3,1,4,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,7,3,2,4,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>5 [5,6,7,3,4,2,1]=>[[1,4,7],[2,6],[3],[5]]=>4 [5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>5 [5,6,7,4,1,3,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,7,4,2,1,3]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,7,4,2,3,1]=>[[1,3,7],[2,6],[4],[5]]=>4 [5,6,7,4,3,1,2]=>[[1,2,7],[3,6],[4],[5]]=>4 [5,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>3 [5,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>5 [5,7,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [5,7,1,2,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,7,1,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>4 [5,7,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [5,7,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [5,7,1,3,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,7,1,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,7,1,3,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,7,1,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>4 [5,7,1,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,7,1,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [5,7,1,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,7,1,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,7,1,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,7,1,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,7,1,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,7,1,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,7,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [5,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [5,7,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [5,7,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [5,7,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [5,7,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [5,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,7,2,1,3,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,7,2,1,4,3,6]=>[[1,3,6],[2,4],[5,7]]=>3 [5,7,2,1,4,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,7,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [5,7,2,3,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,7,2,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,7,2,3,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>4 [5,7,2,3,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>4 [5,7,2,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,7,2,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [5,7,2,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]=>3 [5,7,2,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,7,2,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,7,2,4,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,7,2,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>3 [5,7,2,4,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,7,2,6,1,3,4]=>[[1,3,4],[2,6],[5,7]]=>4 [5,7,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [5,7,2,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [5,7,2,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [5,7,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [5,7,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>3 [5,7,3,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>4 [5,7,3,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,7,3,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>4 [5,7,3,1,4,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,7,3,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,7,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [5,7,3,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,7,3,2,4,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,7,3,2,4,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,7,3,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,7,3,2,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,7,3,4,1,2,6]=>[[1,2,6],[3,4],[5,7]]=>4 [5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,7,3,4,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,7,3,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,7,3,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>4 [5,7,3,4,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>3 [5,7,3,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]=>4 [5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [5,7,3,6,2,1,4]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,7,3,6,2,4,1]=>[[1,4],[2,6],[3,7],[5]]=>3 [5,7,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [5,7,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>3 [5,7,4,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>4 [5,7,4,1,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,7,4,1,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,7,4,1,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,7,4,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,7,4,2,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,7,4,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,7,4,2,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,7,4,2,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>3 [5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,7,4,3,1,2,6]=>[[1,2,6],[3,7],[4],[5]]=>3 [5,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,7,4,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,7,4,3,2,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,7,4,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,7,4,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,7,4,6,1,2,3]=>[[1,2,3],[4,6],[5,7]]=>4 [5,7,4,6,1,3,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,7,4,6,2,1,3]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,7,4,6,2,3,1]=>[[1,3],[2,6],[4,7],[5]]=>3 [5,7,4,6,3,1,2]=>[[1,2],[3,6],[4,7],[5]]=>3 [5,7,4,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>2 [5,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [5,7,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [5,7,6,1,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [5,7,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [5,7,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [5,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [5,7,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [5,7,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [5,7,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [5,7,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [5,7,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>3 [5,7,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [5,7,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [5,7,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>3 [5,7,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>3 [5,7,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [5,7,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>3 [5,7,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [5,7,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>3 [5,7,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>3 [5,7,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [5,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [6,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>6 [6,1,2,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>6 [6,1,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>5 [6,1,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>5 [6,1,2,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>6 [6,1,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>5 [6,1,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,2,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>5 [6,1,2,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>5 [6,1,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>5 [6,1,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,2,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>4 [6,1,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>4 [6,1,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,2,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]=>4 [6,1,2,7,3,4,5]=>[[1,2,3,4,5],[6,7]]=>6 [6,1,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,1,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]=>5 [6,1,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [6,1,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [6,1,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,3,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,1,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]=>5 [6,1,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>5 [6,1,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>5 [6,1,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,3,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [6,1,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [6,1,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>4 [6,1,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>4 [6,1,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]=>4 [6,1,3,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]=>4 [6,1,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,1,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,1,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,1,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>5 [6,1,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [6,1,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [6,1,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,1,4,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>4 [6,1,4,3,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,1,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]=>4 [6,1,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]=>4 [6,1,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,1,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,1,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [6,1,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [6,1,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]=>4 [6,1,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]=>4 [6,1,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]=>5 [6,1,4,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]=>4 [6,1,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,1,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,1,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,1,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,1,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,1,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>5 [6,1,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,5,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>4 [6,1,5,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>4 [6,1,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,1,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>4 [6,1,5,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,1,5,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>4 [6,1,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>4 [6,1,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,1,5,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,1,5,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>4 [6,1,5,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,1,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>3 [6,1,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>3 [6,1,5,4,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,1,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>3 [6,1,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,5,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,1,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,1,5,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,1,5,7,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>3 [6,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>6 [6,1,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,1,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,1,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>5 [6,1,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,1,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,1,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,1,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,1,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,1,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,1,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,1,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,1,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,1,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,1,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,1,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,1,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,1,7,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,2,1,3,4,5,7]=>[[1,3,4,5,7],[2],[6]]=>5 [6,2,1,3,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [6,2,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [6,2,1,3,7,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,1,3,7,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>4 [6,2,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>4 [6,2,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [6,2,1,4,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [6,2,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [6,2,1,4,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [6,2,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>4 [6,2,1,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [6,2,1,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,1,7,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,1,7,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,1,7,4,3,5]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,1,7,4,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,1,7,5,3,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,1,7,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,2,3,1,4,5,7]=>[[1,3,4,5,7],[2],[6]]=>5 [6,2,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [6,2,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [6,2,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]=>5 [6,2,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>5 [6,2,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>5 [6,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [6,2,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]=>4 [6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>4 [6,2,3,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>4 [6,2,3,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]=>4 [6,2,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]=>4 [6,2,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>4 [6,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>4 [6,2,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [6,2,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [6,2,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [6,2,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,4,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]=>4 [6,2,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>4 [6,2,4,3,5,7,1]=>[[1,3,5,7],[2],[4],[6]]=>4 [6,2,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,2,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,2,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]=>4 [6,2,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]=>4 [6,2,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>4 [6,2,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6]]=>4 [6,2,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]=>4 [6,2,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]=>4 [6,2,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6]]=>4 [6,2,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,2,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,2,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,4,7,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,2,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>4 [6,2,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>4 [6,2,5,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,5,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [6,2,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,5,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>4 [6,2,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,2,5,3,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>4 [6,2,5,3,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>4 [6,2,5,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,2,5,3,7,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,2,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,5,4,1,7,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>3 [6,2,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>3 [6,2,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>3 [6,2,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6]]=>4 [6,2,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,2,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,2,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,2,5,7,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>3 [6,2,7,1,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,7,1,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,7,1,4,3,5]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,7,1,4,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,7,1,5,3,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,7,1,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,2,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>5 [6,2,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,7,3,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,2,7,4,1,3,5]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,2,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,2,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,2,7,5,1,3,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,2,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,2,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,2,7,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,3,1,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]=>5 [6,3,1,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,3,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [6,3,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>4 [6,3,1,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,3,1,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,3,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>5 [6,3,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>5 [6,3,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [6,3,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [6,3,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [6,3,1,4,7,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [6,3,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>4 [6,3,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,1,5,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [6,3,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,3,1,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,3,1,7,4,2,5]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,1,7,4,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,1,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,3,1,7,5,4,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,3,2,1,4,5,7]=>[[1,4,5,7],[2],[3],[6]]=>4 [6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,2,1,5,4,7]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,2,1,5,7,4]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,2,1,7,4,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,2,1,7,5,4]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,3,2,4,1,5,7]=>[[1,4,5,7],[2],[3],[6]]=>4 [6,3,2,4,1,7,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>4 [6,3,2,4,5,7,1]=>[[1,4,5,7],[2],[3],[6]]=>4 [6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,2,4,7,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,2,5,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,2,5,1,7,4]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,2,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,2,5,7,1,4]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,2,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,2,7,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,3,2,7,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,2,7,4,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,3,4,1,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>5 [6,3,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>5 [6,3,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [6,3,4,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [6,3,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [6,3,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6]]=>4 [6,3,4,2,1,7,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,4,2,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>4 [6,3,4,2,5,7,1]=>[[1,4,5,7],[2],[3],[6]]=>4 [6,3,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,4,2,7,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,4,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]=>5 [6,3,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]=>5 [6,3,4,5,2,1,7]=>[[1,4,5,7],[2],[3],[6]]=>4 [6,3,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]=>4 [6,3,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>5 [6,3,4,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>4 [6,3,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6]]=>5 [6,3,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,4,7,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,4,7,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>4 [6,3,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>4 [6,3,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,5,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [6,3,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,5,2,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,5,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>3 [6,3,5,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]=>3 [6,3,5,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>3 [6,3,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6]]=>4 [6,3,5,7,1,4,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6]]=>3 [6,3,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,3,5,7,4,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>3 [6,3,7,1,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,3,7,1,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,3,7,1,4,2,5]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,7,1,4,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,7,1,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,3,7,1,5,4,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,3,7,2,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,7,2,4,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,3,7,2,5,4,1]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,3,7,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,3,7,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,3,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,3,7,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,3,7,5,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,4,1,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>5 [6,4,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,4,1,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [6,4,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>5 [6,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,4,1,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,4,1,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>4 [6,4,1,3,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,1,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]=>4 [6,4,1,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]=>4 [6,4,1,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,1,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [6,4,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>5 [6,4,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,1,5,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [6,4,1,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,4,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,4,1,7,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,1,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,1,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,4,1,7,5,3,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6]]=>4 [6,4,2,1,3,7,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,2,1,5,3,7]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,2,1,5,7,3]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,2,1,7,3,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,2,1,7,5,3]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,4,2,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]=>4 [6,4,2,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,2,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>4 [6,4,2,3,5,7,1]=>[[1,3,5,7],[2],[4],[6]]=>4 [6,4,2,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,2,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,2,5,1,3,7]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,2,5,1,7,3]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,2,5,7,1,3]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,2,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,2,7,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,4,2,7,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,2,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,4,2,7,5,3,1]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,4,3,1,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>4 [6,4,3,1,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,3,1,5,2,7]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,3,1,5,7,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,3,1,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,3,1,7,5,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6]]=>3 [6,4,3,2,1,7,5]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>3 [6,4,3,2,5,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>3 [6,4,3,2,7,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,4,3,2,7,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,4,3,5,1,2,7]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,3,5,1,7,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,3,5,2,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>3 [6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>3 [6,4,3,5,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,3,5,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>3 [6,4,3,7,1,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,4,3,7,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,4,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,4,3,7,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,4,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>5 [6,4,5,1,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>5 [6,4,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,5,1,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [6,4,5,1,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,5,2,1,3,7]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,5,2,1,7,3]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,5,2,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,5,2,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,5,3,1,2,7]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,5,3,1,7,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>3 [6,4,5,3,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>3 [6,4,5,3,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,5,3,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>3 [6,4,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6]]=>5 [6,4,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6]]=>4 [6,4,5,7,3,1,2]=>[[1,2,7],[3,5],[4],[6]]=>4 [6,4,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>3 [6,4,7,1,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,4,7,1,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,4,7,1,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,7,1,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,4,7,1,5,3,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,4,7,2,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,7,2,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,4,7,2,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,7,2,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,4,7,2,5,3,1]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,4,7,3,1,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,4,7,3,1,5,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,4,7,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,4,7,3,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,4,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,4,7,3,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,4,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,4,7,5,1,3,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,4,7,5,2,1,3]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,4,7,5,2,3,1]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,4,7,5,3,1,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,4,7,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,5,1,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>5 [6,5,1,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,5,1,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>4 [6,5,1,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>4 [6,5,1,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,5,1,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,1,3,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>4 [6,5,1,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,1,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>4 [6,5,1,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>4 [6,5,1,3,7,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,1,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,1,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>4 [6,5,1,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,1,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>3 [6,5,1,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>3 [6,5,1,4,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,1,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>3 [6,5,1,7,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,5,1,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,1,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,1,7,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,1,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,1,7,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,5,2,1,3,4,7]=>[[1,3,4,7],[2],[5],[6]]=>4 [6,5,2,1,3,7,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,2,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,5,2,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,5,2,1,7,3,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,5,2,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>4 [6,5,2,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,2,3,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>4 [6,5,2,3,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>4 [6,5,2,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,2,3,7,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,2,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,5,2,4,1,7,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,5,2,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>3 [6,5,2,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>3 [6,5,2,4,7,1,3]=>[[1,3,7],[2,4],[5],[6]]=>3 [6,5,2,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>3 [6,5,2,7,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,2,7,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,5,2,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,2,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,2,7,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,5,2,7,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,5,3,1,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>4 [6,5,3,1,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,3,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,5,3,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,5,3,1,7,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,3,1,7,4,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,5,3,2,1,4,7]=>[[1,4,7],[2],[3],[5],[6]]=>3 [6,5,3,2,1,7,4]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,5,3,2,4,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>3 [6,5,3,2,4,7,1]=>[[1,4,7],[2],[3],[5],[6]]=>3 [6,5,3,2,7,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,5,3,2,7,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,5,3,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,5,3,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>3 [6,5,3,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]=>3 [6,5,3,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]=>4 [6,5,3,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>3 [6,5,3,7,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,3,7,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,5,3,7,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,5,3,7,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,5,3,7,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,5,4,1,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>4 [6,5,4,1,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,4,1,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>3 [6,5,4,1,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>3 [6,5,4,1,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,4,1,7,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,5,4,2,1,3,7]=>[[1,3,7],[2],[4],[5],[6]]=>3 [6,5,4,2,1,7,3]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,5,4,2,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>3 [6,5,4,2,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>3 [6,5,4,2,7,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,5,4,2,7,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,5,4,3,1,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>3 [6,5,4,3,1,7,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>2 [6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6]]=>2 [6,5,4,3,7,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,5,4,3,7,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>2 [6,5,4,7,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,4,7,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,5,4,7,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,5,4,7,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,5,4,7,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,5,4,7,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>2 [6,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,5,7,1,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,7,1,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,7,1,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,7,1,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,7,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,5,7,2,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,5,7,2,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,7,2,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,5,7,2,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,5,7,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,5,7,3,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,5,7,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,5,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,5,7,3,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,5,7,4,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,5,7,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,5,7,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,5,7,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,5,7,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>2 [6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>6 [6,7,1,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,7,1,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,7,1,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>5 [6,7,1,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,7,1,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,7,1,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,7,1,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,7,1,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,7,1,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>5 [6,7,1,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,7,1,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,7,1,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,7,1,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,7,1,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,7,1,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,7,1,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,7,1,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,7,1,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,7,1,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,7,1,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,7,1,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,7,1,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,7,2,1,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,7,2,1,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,7,2,1,4,3,5]=>[[1,3,5],[2,4],[6,7]]=>4 [6,7,2,1,4,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,7,2,1,5,3,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,7,2,1,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,7,2,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,7,2,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,7,2,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>5 [6,7,2,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>5 [6,7,2,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,7,2,3,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,7,2,4,1,3,5]=>[[1,3,5],[2,4],[6,7]]=>4 [6,7,2,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,7,2,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,7,2,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,7,2,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>4 [6,7,2,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,7,2,5,1,3,4]=>[[1,3,4],[2,5],[6,7]]=>4 [6,7,2,5,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,7,2,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,7,2,5,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,7,2,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,7,2,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,7,3,1,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>5 [6,7,3,1,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,7,3,1,4,2,5]=>[[1,2,5],[3,4],[6,7]]=>5 [6,7,3,1,4,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,7,3,1,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,7,3,1,5,4,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,7,3,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,7,3,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,7,3,2,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,7,3,2,4,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,7,3,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,7,3,2,5,4,1]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]=>5 [6,7,3,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,7,3,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,7,3,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>5 [6,7,3,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>4 [6,7,3,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]=>4 [6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,7,3,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,7,3,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]=>3 [6,7,3,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,7,3,5,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,7,4,1,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>5 [6,7,4,1,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,7,4,1,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,7,4,1,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,7,4,1,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,7,4,1,5,3,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,7,4,2,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,7,4,2,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,7,4,2,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,7,4,2,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>4 [6,7,4,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,7,4,2,5,3,1]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,7,4,3,1,2,5]=>[[1,2,5],[3,7],[4],[6]]=>4 [6,7,4,3,1,5,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,7,4,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,7,4,3,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,7,4,3,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,7,4,5,1,2,3]=>[[1,2,3],[4,5],[6,7]]=>5 [6,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,7,4,5,2,1,3]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6]]=>4 [6,7,4,5,3,1,2]=>[[1,2],[3,5],[4,7],[6]]=>4 [6,7,4,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>3 [6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>5 [6,7,5,1,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,7,5,1,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,7,5,1,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,7,5,1,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,7,5,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,7,5,2,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,7,5,2,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,7,5,2,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,7,5,2,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>4 [6,7,5,2,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>3 [6,7,5,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,7,5,3,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>4 [6,7,5,3,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,7,5,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,7,5,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,7,5,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>4 [6,7,5,3,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>3 [6,7,5,4,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>4 [6,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,7,5,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>3 [6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>3 [6,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>2 [7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>6 [7,1,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>5 [7,1,2,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>5 [7,1,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>5 [7,1,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>5 [7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [7,1,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>5 [7,1,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [7,1,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>5 [7,1,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>5 [7,1,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [7,1,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>4 [7,1,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>5 [7,1,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [7,1,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>4 [7,1,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>4 [7,1,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [7,1,2,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>4 [7,1,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>5 [7,1,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [7,1,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>4 [7,1,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>4 [7,1,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [7,1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [7,1,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]=>5 [7,1,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [7,1,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [7,1,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [7,1,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [7,1,3,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,1,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]=>5 [7,1,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [7,1,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>5 [7,1,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>5 [7,1,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>4 [7,1,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>4 [7,1,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [7,1,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [7,1,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>4 [7,1,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>4 [7,1,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>4 [7,1,3,5,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>4 [7,1,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [7,1,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,1,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>4 [7,1,3,6,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>4 [7,1,3,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>3 [7,1,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>5 [7,1,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [7,1,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [7,1,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [7,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [7,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,1,4,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>4 [7,1,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,1,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]=>4 [7,1,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>4 [7,1,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,1,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,1,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [7,1,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [7,1,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>4 [7,1,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>4 [7,1,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>5 [7,1,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7]]=>4 [7,1,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [7,1,4,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,1,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,1,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,1,4,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>3 [7,1,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>5 [7,1,5,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [7,1,5,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>4 [7,1,5,2,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>4 [7,1,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [7,1,5,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,1,5,3,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>4 [7,1,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,1,5,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>4 [7,1,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>4 [7,1,5,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,1,5,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,1,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>4 [7,1,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>3 [7,1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>3 [7,1,5,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>3 [7,1,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [7,1,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,1,5,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,1,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,1,5,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>3 [7,1,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>5 [7,1,6,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [7,1,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>4 [7,1,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>4 [7,1,6,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [7,1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [7,1,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>4 [7,1,6,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,1,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>4 [7,1,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>4 [7,1,6,3,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>3 [7,1,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>4 [7,1,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>3 [7,1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>3 [7,1,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>3 [7,1,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [7,1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [7,1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>3 [7,1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>3 [7,1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [7,1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>2 [7,2,1,3,4,5,6]=>[[1,3,4,5,6],[2],[7]]=>5 [7,2,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [7,2,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [7,2,1,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [7,2,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [7,2,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>4 [7,2,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>3 [7,2,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [7,2,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [7,2,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [7,2,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [7,2,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>4 [7,2,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [7,2,1,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [7,2,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,1,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,1,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [7,2,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7]]=>5 [7,2,3,1,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [7,2,3,1,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [7,2,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [7,2,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [7,2,3,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7]]=>5 [7,2,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>4 [7,2,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7]]=>5 [7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>5 [7,2,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>4 [7,2,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>4 [7,2,3,5,1,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [7,2,3,5,1,6,4]=>[[1,3,4,6],[2,5],[7]]=>4 [7,2,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>4 [7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>4 [7,2,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>4 [7,2,3,5,6,4,1]=>[[1,3,4,6],[2],[5],[7]]=>4 [7,2,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [7,2,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,3,6,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>4 [7,2,3,6,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>4 [7,2,3,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>3 [7,2,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>4 [7,2,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>3 [7,2,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [7,2,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [7,2,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [7,2,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,4,3,1,5,6]=>[[1,3,5,6],[2],[4],[7]]=>4 [7,2,4,3,1,6,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,2,4,3,5,1,6]=>[[1,3,5,6],[2],[4],[7]]=>4 [7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>4 [7,2,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,2,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]=>4 [7,2,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>4 [7,2,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]=>4 [7,2,4,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]=>4 [7,2,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>4 [7,2,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7]]=>4 [7,2,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>3 [7,2,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,2,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,2,4,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>3 [7,2,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>4 [7,2,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>4 [7,2,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,5,1,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [7,2,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,5,3,1,4,6]=>[[1,3,4,6],[2],[5],[7]]=>4 [7,2,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,2,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>4 [7,2,5,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>4 [7,2,5,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,2,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,2,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]=>3 [7,2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>3 [7,2,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>3 [7,2,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]=>4 [7,2,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,2,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,2,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>3 [7,2,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>4 [7,2,6,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,6,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [7,2,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]=>4 [7,2,6,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>4 [7,2,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>4 [7,2,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>3 [7,2,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>3 [7,2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]=>3 [7,2,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>3 [7,2,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [7,2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>3 [7,2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>3 [7,2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [7,2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>2 [7,3,1,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]=>5 [7,3,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>4 [7,3,1,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [7,3,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>4 [7,3,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [7,3,1,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,3,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>5 [7,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>4 [7,3,1,4,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [7,3,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [7,3,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [7,3,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [7,3,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>4 [7,3,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [7,3,1,5,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [7,3,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,3,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [7,3,2,1,4,5,6]=>[[1,4,5,6],[2],[3],[7]]=>4 [7,3,2,1,4,6,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,2,1,5,4,6]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,2,1,5,6,4]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,2,1,6,4,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [7,3,2,4,1,5,6]=>[[1,4,5,6],[2],[3],[7]]=>4 [7,3,2,4,1,6,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,2,4,5,1,6]=>[[1,4,5,6],[2],[3],[7]]=>4 [7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>4 [7,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,2,5,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,2,5,1,6,4]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,2,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,2,5,6,1,4]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,2,5,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,2,6,1,4,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [7,3,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [7,3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>2 [7,3,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>5 [7,3,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>4 [7,3,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [7,3,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [7,3,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [7,3,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7]]=>4 [7,3,4,2,1,6,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,4,2,5,1,6]=>[[1,4,5,6],[2],[3],[7]]=>4 [7,3,4,2,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>4 [7,3,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]=>5 [7,3,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>5 [7,3,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]=>4 [7,3,4,5,2,6,1]=>[[1,4,5,6],[2],[3],[7]]=>4 [7,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>5 [7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7]]=>4 [7,3,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]=>4 [7,3,4,6,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,4,6,2,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>3 [7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>4 [7,3,5,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>4 [7,3,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [7,3,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,5,4,1,2,6]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,5,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7]]=>3 [7,3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>3 [7,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>3 [7,3,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>4 [7,3,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]=>3 [7,3,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>3 [7,3,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>4 [7,3,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,3,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,6,1,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,6,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [7,3,6,2,1,4,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [7,3,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>3 [7,3,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>2 [7,3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>2 [7,3,6,4,1,2,5]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,6,4,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>3 [7,3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7]]=>3 [7,3,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>3 [7,3,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [7,3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>2 [7,3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>2 [7,3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>2 [7,4,1,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>5 [7,4,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>4 [7,4,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [7,4,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>5 [7,4,1,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [7,4,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,4,1,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>4 [7,4,1,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,1,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]=>4 [7,4,1,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>4 [7,4,1,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,1,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [7,4,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>5 [7,4,1,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,1,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [7,4,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [7,4,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,4,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [7,4,2,1,3,5,6]=>[[1,3,5,6],[2],[4],[7]]=>4 [7,4,2,1,3,6,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,2,1,5,3,6]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,2,1,5,6,3]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,2,1,6,3,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [7,4,2,3,1,5,6]=>[[1,3,5,6],[2],[4],[7]]=>4 [7,4,2,3,1,6,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,2,3,5,1,6]=>[[1,3,5,6],[2],[4],[7]]=>4 [7,4,2,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>4 [7,4,2,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,2,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,2,5,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,2,5,1,6,3]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,2,5,6,1,3]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,2,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [7,4,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [7,4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>3 [7,4,3,1,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>4 [7,4,3,1,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,3,1,5,2,6]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,3,1,5,6,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,3,1,6,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7]]=>3 [7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7]]=>2 [7,4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>3 [7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>3 [7,4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>2 [7,4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>2 [7,4,3,5,1,2,6]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,3,5,1,6,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>3 [7,4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>3 [7,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>3 [7,4,3,6,1,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [7,4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>2 [7,4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>2 [7,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>2 [7,4,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>5 [7,4,5,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>5 [7,4,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [7,4,5,1,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,5,2,1,6,3]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,5,2,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,5,3,1,2,6]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,5,3,1,6,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>3 [7,4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>3 [7,4,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>3 [7,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>5 [7,4,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>4 [7,4,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]=>4 [7,4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>3 [7,4,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>4 [7,4,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,4,6,1,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,6,1,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,6,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [7,4,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [7,4,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,6,2,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>3 [7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>3 [7,4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>3 [7,4,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7]]=>3 [7,4,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [7,4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>2 [7,4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>2 [7,4,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>3 [7,4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>2 [7,4,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [7,4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>3 [7,4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>3 [7,4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [7,4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>2 [7,5,1,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>5 [7,5,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>5 [7,5,1,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>4 [7,5,1,2,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>4 [7,5,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [7,5,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,1,3,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>4 [7,5,1,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,1,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>4 [7,5,1,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>4 [7,5,1,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,1,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,1,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>4 [7,5,1,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>3 [7,5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>3 [7,5,1,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>3 [7,5,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [7,5,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [7,5,2,1,3,4,6]=>[[1,3,4,6],[2],[5],[7]]=>4 [7,5,2,1,3,6,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,2,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,5,2,1,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,5,2,1,6,3,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [7,5,2,3,1,4,6]=>[[1,3,4,6],[2],[5],[7]]=>4 [7,5,2,3,1,6,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,2,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>4 [7,5,2,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>4 [7,5,2,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,2,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,2,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,5,2,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]=>3 [7,5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>3 [7,5,2,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]=>3 [7,5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>3 [7,5,2,6,1,3,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [7,5,2,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,2,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [7,5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>3 [7,5,3,1,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>4 [7,5,3,1,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,3,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,5,3,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,5,3,1,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [7,5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5],[7]]=>3 [7,5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5],[7]]=>3 [7,5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5],[7]]=>3 [7,5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>3 [7,5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>3 [7,5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>3 [7,5,3,4,1,2,6]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,5,3,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7]]=>3 [7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>3 [7,5,3,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>4 [7,5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>3 [7,5,3,6,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [7,5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>3 [7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>3 [7,5,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [7,5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>3 [7,5,4,1,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>4 [7,5,4,1,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>3 [7,5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>3 [7,5,4,1,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [7,5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5],[7]]=>3 [7,5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5],[7]]=>3 [7,5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]=>3 [7,5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>3 [7,5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>3 [7,5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>3 [7,5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>3 [7,5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [7,5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [7,5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [7,5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [7,5,4,6,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [7,5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>3 [7,5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>3 [7,5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [7,5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>5 [7,5,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,6,1,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [7,5,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [7,5,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>4 [7,5,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>3 [7,5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>3 [7,5,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>4 [7,5,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [7,5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>3 [7,5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>3 [7,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>4 [7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>3 [7,5,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>4 [7,5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [7,5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>3 [7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>3 [7,5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>3 [7,5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>2 [7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>5 [7,6,1,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [7,6,1,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>4 [7,6,1,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>4 [7,6,1,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [7,6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [7,6,1,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>4 [7,6,1,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,6,1,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>4 [7,6,1,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>4 [7,6,1,3,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>3 [7,6,1,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>4 [7,6,1,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>3 [7,6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>3 [7,6,1,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>3 [7,6,1,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [7,6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [7,6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>3 [7,6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>3 [7,6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [7,6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>2 [7,6,2,1,3,4,5]=>[[1,3,4,5],[2],[6],[7]]=>4 [7,6,2,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,6,2,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,6,2,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,6,2,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [7,6,2,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]=>4 [7,6,2,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,6,2,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>4 [7,6,2,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>4 [7,6,2,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>3 [7,6,2,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,6,2,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>3 [7,6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]=>3 [7,6,2,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>3 [7,6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>3 [7,6,2,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>3 [7,6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [7,6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>3 [7,6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>3 [7,6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [7,6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>2 [7,6,3,1,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>4 [7,6,3,1,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,6,3,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,6,3,1,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,6,3,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [7,6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6],[7]]=>3 [7,6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6],[7]]=>2 [7,6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>3 [7,6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6],[7]]=>3 [7,6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>2 [7,6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>2 [7,6,3,4,1,2,5]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,6,3,4,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>3 [7,6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7]]=>3 [7,6,3,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>4 [7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>3 [7,6,3,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]=>3 [7,6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [7,6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>2 [7,6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>2 [7,6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>2 [7,6,4,1,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>4 [7,6,4,1,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>3 [7,6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>3 [7,6,4,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [7,6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6],[7]]=>3 [7,6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6],[7]]=>3 [7,6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>3 [7,6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]=>3 [7,6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>3 [7,6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>3 [7,6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>3 [7,6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [7,6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6],[7]]=>2 [7,6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6],[7]]=>2 [7,6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>2 [7,6,4,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]=>4 [7,6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [7,6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>3 [7,6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>3 [7,6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>3 [7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>2 [7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>4 [7,6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [7,6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>3 [7,6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>3 [7,6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [7,6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>2 [7,6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6],[7]]=>3 [7,6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [7,6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>3 [7,6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>3 [7,6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>2 [7,6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>2 [7,6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>3 [7,6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [7,6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6],[7]]=>2 [7,6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6],[7]]=>2 [7,6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>3 [7,6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>2 [7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>3 [7,6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>2 [7,6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6],[7]]=>2 [7,6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>2 [7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7]]=>2 [7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>1 [8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>1 [7,8,6,5,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>2 [8,6,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [7,6,8,5,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>2 [6,7,8,5,4,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [8,7,5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>2 [7,8,5,6,4,3,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [8,6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [8,5,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>3 [7,6,5,8,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>2 [6,7,5,8,4,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [7,5,6,8,4,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [6,5,7,8,4,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,6,7,8,4,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>2 [7,8,6,4,5,3,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [8,6,7,4,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>3 [8,7,5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>2 [8,7,4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [8,5,6,4,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>3 [8,6,4,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [8,4,5,6,7,3,2,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [7,6,5,4,8,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>2 [6,7,5,4,8,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [7,5,6,4,8,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [6,5,7,4,8,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,6,7,4,8,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [7,6,4,5,8,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [6,7,4,5,8,3,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,5,4,6,8,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [7,4,5,6,8,3,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [6,5,4,7,8,3,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,6,4,7,8,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [6,4,5,7,8,3,2,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [5,4,6,7,8,3,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [4,5,6,7,8,3,2,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [8,7,6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>2 [7,8,6,5,3,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [7,6,8,5,3,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [8,7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [7,8,5,6,3,4,2,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [8,5,6,7,3,4,2,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [7,6,5,8,3,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [6,7,5,8,3,4,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [6,5,7,8,3,4,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,6,7,8,3,4,2,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [8,7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>2 [7,8,6,4,3,5,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [7,6,8,4,3,5,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [6,7,8,4,3,5,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [8,7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [7,8,6,3,4,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [8,6,7,3,4,5,2,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [7,6,8,3,4,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [6,7,8,3,4,5,2,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [8,7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>2 [7,8,5,4,3,6,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [8,7,5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [7,8,5,3,4,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [8,7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [8,7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [7,8,3,4,5,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [8,6,5,4,3,7,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [8,6,4,3,5,7,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [8,5,3,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [8,4,3,5,6,7,2,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,3,4,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [7,6,5,4,3,8,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>2 [6,7,5,4,3,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [7,5,6,4,3,8,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [6,5,7,4,3,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,6,7,4,3,8,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [6,7,4,5,3,8,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,5,4,6,3,8,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [7,4,5,6,3,8,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [6,5,4,7,3,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [6,4,5,7,3,8,2,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [5,4,6,7,3,8,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [4,5,6,7,3,8,2,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [7,6,5,3,4,8,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [7,6,4,3,5,8,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [7,6,3,4,5,8,2,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [7,5,4,3,6,8,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [7,5,3,4,6,8,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [7,3,4,5,6,8,2,1]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [6,5,4,3,7,8,2,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [6,5,3,4,7,8,2,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [6,3,4,5,7,8,2,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [5,4,3,6,7,8,2,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [5,3,4,6,7,8,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,5,6,7,8,2,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,5,6,7,8,2,1]=>[[1,4,5,6,7,8],[2],[3]]=>6 [8,7,6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>2 [7,8,6,5,4,2,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [8,6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [7,6,8,5,4,2,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [8,7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [8,6,5,7,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [8,5,6,7,4,2,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [7,6,5,8,4,2,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [6,7,5,8,4,2,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [7,5,6,8,4,2,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [5,6,7,8,4,2,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [8,7,6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [8,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [7,6,8,4,5,2,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [8,7,4,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [7,8,4,5,6,2,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [8,5,6,4,7,2,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,6,4,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [8,4,5,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [7,5,6,4,8,2,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [6,5,7,4,8,2,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [6,7,4,5,8,2,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [4,5,6,7,8,2,3,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [8,7,6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>2 [7,8,6,5,3,2,4,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [8,6,7,5,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [7,6,8,5,3,2,4,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [6,7,8,5,3,2,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [8,7,5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [8,6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [8,5,6,7,3,2,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [7,6,5,8,3,2,4,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [6,7,5,8,3,2,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,6,7,8,3,2,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [8,7,6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [8,6,7,5,2,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [7,6,8,5,2,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [6,7,8,5,2,3,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [8,7,5,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [7,8,5,6,2,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [8,6,5,7,2,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [7,6,5,8,2,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [6,7,5,8,2,3,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [6,5,7,8,2,3,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [5,6,7,8,2,3,4,1]=>[[1,3,4,8],[2,6,7],[5]]=>6 [8,7,6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>2 [8,7,6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [7,8,6,3,4,2,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [8,6,7,3,4,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [7,6,8,3,4,2,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [6,7,8,3,4,2,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [6,7,8,4,2,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [8,7,6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [7,8,6,3,2,4,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [8,6,7,3,2,4,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [6,7,8,3,2,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [8,7,6,2,3,4,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [7,8,6,2,3,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [8,6,7,2,3,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,6,8,2,3,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [6,7,8,2,3,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>6 [7,8,5,4,3,2,6,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [8,7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [7,8,5,3,4,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [8,7,5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [8,7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [7,8,4,3,2,5,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [7,8,3,4,2,5,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,8,4,2,3,5,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,8,3,2,4,5,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [8,7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [7,8,2,3,4,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>6 [8,6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [8,5,6,3,4,2,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [8,6,3,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [8,4,5,3,6,2,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,4,3,5,6,2,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,6,5,4,2,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [8,5,6,4,2,3,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,6,5,3,2,4,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [8,6,4,2,3,5,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [8,6,2,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [8,5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>3 [8,4,5,3,2,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [8,3,4,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [8,5,4,2,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [8,4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [8,4,2,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [8,3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>6 [7,6,5,4,3,2,8,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>2 [6,7,5,4,3,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [6,5,7,4,3,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,6,7,4,3,2,8,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [7,6,4,5,3,2,8,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [6,7,4,5,3,2,8,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,4,5,6,3,2,8,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [6,5,4,7,3,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [6,4,5,7,3,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [4,5,6,7,3,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [7,5,6,3,4,2,8,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [6,5,7,3,4,2,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [7,6,4,3,5,2,8,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [7,6,3,4,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [7,5,4,3,6,2,8,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [7,4,5,3,6,2,8,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [7,5,3,4,6,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [7,3,4,5,6,2,8,1]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [6,5,4,3,7,2,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [6,4,5,3,7,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [5,4,6,3,7,2,8,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [4,5,6,3,7,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [6,5,3,4,7,2,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [5,6,3,4,7,2,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [6,4,3,5,7,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [6,3,4,5,7,2,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [4,5,3,6,7,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [4,3,5,6,7,2,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,5,6,7,2,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>6 [7,6,5,4,2,3,8,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [6,7,5,4,2,3,8,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [7,5,6,4,2,3,8,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [6,5,7,4,2,3,8,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [5,6,7,4,2,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [7,6,4,5,2,3,8,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [6,7,4,5,2,3,8,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [7,4,5,6,2,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [6,5,4,7,2,3,8,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [5,6,4,7,2,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,6,7,2,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [4,5,6,7,2,3,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [7,6,5,3,2,4,8,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [6,7,5,3,2,4,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [6,5,7,3,2,4,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [7,6,5,2,3,4,8,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [7,5,6,2,3,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [5,6,7,2,3,4,8,1]=>[[1,3,4,8],[2,6,7],[5]]=>6 [6,7,4,3,2,5,8,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,6,4,2,3,5,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [7,6,3,2,4,5,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [6,7,3,2,4,5,8,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,6,2,3,4,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [6,7,2,3,4,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>6 [7,5,4,3,2,6,8,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [7,4,3,5,2,6,8,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [7,5,4,2,3,6,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [7,4,5,2,3,6,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [7,5,3,2,4,6,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [7,5,2,3,4,6,8,1]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [7,4,3,2,5,6,8,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [7,3,2,4,5,6,8,1]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [7,2,3,4,5,6,8,1]=>[[1,3,4,5,6,8],[2],[7]]=>6 [6,5,4,3,2,7,8,1]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [4,5,6,3,2,7,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [6,5,3,4,2,7,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [6,3,4,5,2,7,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [5,4,3,6,2,7,8,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [4,3,5,6,2,7,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,5,6,2,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>6 [6,5,4,2,3,7,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [6,4,5,2,3,7,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,5,6,2,3,7,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [6,5,3,2,4,7,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [6,5,2,3,4,7,8,1]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [6,2,3,4,5,7,8,1]=>[[1,3,4,5,7,8],[2],[6]]=>6 [5,4,3,2,6,7,8,1]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [4,5,3,2,6,7,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [5,3,4,2,6,7,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,5,2,6,7,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,5,2,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>6 [5,4,2,3,6,7,8,1]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [4,5,2,3,6,7,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [5,3,2,4,6,7,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [5,2,3,4,6,7,8,1]=>[[1,3,4,6,7,8],[2],[5]]=>6 [4,3,2,5,6,7,8,1]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,2,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>6 [4,2,3,5,6,7,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,4,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>6 [2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2]]=>7 [8,7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>2 [7,8,6,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [8,6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [7,6,8,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [6,7,8,5,4,3,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [8,7,5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [7,8,5,6,4,3,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [8,6,5,7,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [7,6,5,8,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [6,7,5,8,4,3,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [7,5,6,8,4,3,1,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [6,5,7,8,4,3,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [5,6,7,8,4,3,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [8,7,6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [7,8,6,4,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [8,6,7,4,5,3,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [6,7,8,4,5,3,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [8,7,5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [8,5,6,4,7,3,1,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [8,6,4,5,7,3,1,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [8,5,4,6,7,3,1,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [7,6,5,4,8,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [7,5,6,4,8,3,1,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [6,5,7,4,8,3,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [7,6,4,5,8,3,1,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [6,7,4,5,8,3,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,5,4,7,8,3,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [5,6,4,7,8,3,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,4,6,7,8,3,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [4,5,6,7,8,3,1,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [8,7,6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [7,8,6,5,3,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [7,6,8,5,3,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [6,7,8,5,3,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [8,7,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [8,6,5,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [8,5,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [7,6,5,8,3,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [6,7,5,8,3,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [7,5,6,8,3,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [6,5,7,8,3,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [5,6,7,8,3,4,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [6,7,8,4,3,5,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [8,7,6,3,4,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [7,8,5,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [8,7,4,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [7,8,4,5,3,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [7,8,5,3,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [8,7,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [7,8,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [8,7,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [7,8,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [8,5,4,3,6,7,1,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [8,5,3,4,6,7,1,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [8,4,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,3,4,5,6,7,1,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [7,6,5,4,3,8,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [7,5,6,4,3,8,1,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [5,6,7,4,3,8,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [6,7,4,5,3,8,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [5,6,4,7,3,8,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [4,5,6,7,3,8,1,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [7,6,5,3,4,8,1,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [7,6,4,3,5,8,1,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [7,6,3,4,5,8,1,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [7,5,4,3,6,8,1,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [7,5,3,4,6,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,3,4,5,6,8,1,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [6,5,4,3,7,8,1,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [5,6,4,3,7,8,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,4,6,3,7,8,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [4,5,6,3,7,8,1,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [5,6,3,4,7,8,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [6,4,3,5,7,8,1,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [6,3,4,5,7,8,1,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [5,4,3,6,7,8,1,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [4,5,3,6,7,8,1,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [5,3,4,6,7,8,1,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [4,3,5,6,7,8,1,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,4,5,6,7,8,1,2]=>[[1,2,5,6,7,8],[3,4]]=>7 [8,7,6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>2 [7,8,6,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [8,6,7,5,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [7,6,8,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [6,7,8,5,4,2,1,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [8,7,5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [7,8,5,6,4,2,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [7,6,5,8,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [6,7,5,8,4,2,1,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [7,5,6,8,4,2,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [6,5,7,8,4,2,1,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [5,6,7,8,4,2,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [8,7,6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [7,6,8,4,5,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [8,4,5,6,7,2,1,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [7,6,5,4,8,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [6,7,5,4,8,2,1,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [6,5,7,4,8,2,1,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [5,6,7,4,8,2,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [7,6,4,5,8,2,1,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [7,4,5,6,8,2,1,3]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [5,4,6,7,8,2,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [4,5,6,7,8,2,1,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [8,7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [7,8,6,5,4,1,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [7,6,8,5,4,1,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [6,7,8,5,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [7,8,5,6,4,1,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [8,6,5,7,4,1,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [8,5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [7,6,5,8,4,1,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [6,7,5,8,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [7,5,6,8,4,1,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,5,7,8,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [5,6,7,8,4,1,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [8,6,7,4,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [6,7,8,4,5,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [8,7,5,4,6,1,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [7,8,5,4,6,1,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [8,7,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [8,5,6,4,7,1,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [8,6,4,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [8,4,5,6,7,1,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [7,6,5,4,8,1,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [6,7,5,4,8,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [5,6,7,4,8,1,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [6,7,4,5,8,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [7,5,4,6,8,1,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,5,4,7,8,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [5,6,4,7,8,1,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,4,6,7,8,1,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [4,5,6,7,8,1,2,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [8,7,6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>2 [7,8,6,5,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [8,6,7,5,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [7,6,8,5,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [6,7,8,5,3,2,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [8,7,5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [7,8,5,6,3,2,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [8,6,5,7,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [8,5,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [7,6,5,8,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [6,7,5,8,3,2,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [7,5,6,8,3,2,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [6,5,7,8,3,2,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,6,7,8,3,2,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [8,7,6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [7,8,6,5,2,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [8,6,7,5,2,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [7,6,8,5,2,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [6,7,8,5,2,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [8,7,5,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [7,8,5,6,2,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [8,6,5,7,2,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,5,6,7,2,3,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [7,6,5,8,2,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [6,7,5,8,2,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [7,5,6,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [6,5,7,8,2,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [5,6,7,8,2,3,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [8,7,6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [7,8,6,5,3,1,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [8,6,7,5,3,1,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [7,6,8,5,3,1,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [8,7,5,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [7,8,5,6,3,1,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,6,5,8,3,1,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [6,7,5,8,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [7,5,6,8,3,1,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [6,5,7,8,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [5,6,7,8,3,1,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [8,7,6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [7,8,6,5,2,1,3,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [7,6,8,5,2,1,3,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [6,7,8,5,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [8,7,5,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [7,8,5,6,2,1,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [8,6,5,7,2,1,3,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,5,6,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [7,6,5,8,2,1,3,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [6,7,5,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [7,5,6,8,2,1,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [6,5,7,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [5,6,7,8,2,1,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [8,7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [7,8,6,5,1,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [8,6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [7,6,8,5,1,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [6,7,8,5,1,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [8,7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [7,8,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [8,6,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [7,6,5,8,1,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [6,7,5,8,1,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [7,5,6,8,1,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [6,5,7,8,1,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [5,6,7,8,1,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [8,7,6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>2 [7,8,6,4,3,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [8,6,7,4,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6],[8]]=>3 [7,6,8,4,3,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [6,7,8,4,3,2,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [8,7,6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [7,8,6,3,4,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [6,7,8,3,4,2,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [8,7,6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [6,7,8,4,2,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [8,7,6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [8,6,7,3,2,4,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [6,7,8,3,2,4,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [8,7,6,2,3,4,1,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [8,6,7,2,3,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,6,8,2,3,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [6,7,8,2,3,4,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [8,7,6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [6,7,8,4,3,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [8,7,6,3,4,1,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [7,8,6,3,4,1,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [8,6,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [6,7,8,3,4,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [8,7,6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [7,8,6,4,2,1,3,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [8,6,7,4,2,1,3,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [6,7,8,4,2,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [8,7,6,4,1,2,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [7,8,6,4,1,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,6,8,4,1,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [6,7,8,4,1,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [8,7,6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [7,8,6,3,2,1,4,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [8,6,7,3,2,1,4,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [7,6,8,3,2,1,4,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [6,7,8,3,2,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [8,7,6,2,3,1,4,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [7,8,6,2,3,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [8,6,7,2,3,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,6,8,2,3,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [6,7,8,2,3,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [8,7,6,3,1,2,4,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [7,8,6,3,1,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [8,6,7,3,1,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,6,8,3,1,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,7,8,3,1,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [8,7,6,2,1,3,4,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [7,8,6,2,1,3,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [8,6,7,2,1,3,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [6,7,8,2,1,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [8,7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [7,8,6,1,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [8,6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [7,6,8,1,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [6,7,8,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [8,7,5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>2 [7,8,5,4,3,2,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [8,7,4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [7,8,4,5,3,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [8,7,5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [8,7,3,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [7,8,3,4,5,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [8,7,4,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [7,8,4,5,2,3,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [8,7,5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [7,8,5,2,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [8,7,4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [7,8,4,3,2,5,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [8,7,3,4,2,5,1,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [7,8,3,4,2,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [8,7,2,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [7,8,2,3,4,5,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [8,7,5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [7,8,5,4,3,1,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [8,7,5,3,4,1,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,7,3,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [7,8,3,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [7,8,5,4,2,1,3,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [8,7,5,4,1,2,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [7,8,5,4,1,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,8,4,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [8,7,5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [7,8,5,3,2,1,4,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [8,7,5,3,1,2,4,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [7,8,5,3,1,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [8,7,5,2,1,3,4,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [7,8,5,2,1,3,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [8,7,5,1,2,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [7,8,5,1,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [8,7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [7,8,4,3,2,1,5,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [8,7,3,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [7,8,3,4,2,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,8,4,2,3,1,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [8,7,3,2,4,1,5,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [7,8,3,2,4,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [8,7,2,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [7,8,2,3,4,1,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [7,8,4,3,1,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [8,7,3,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [7,8,3,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [8,7,4,2,1,3,5,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [7,8,4,2,1,3,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [8,7,4,1,2,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [8,7,3,2,1,4,5,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [7,8,3,2,1,4,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [8,7,2,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [7,8,2,3,1,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [7,8,3,1,2,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [8,7,2,1,3,4,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [7,8,2,1,3,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [8,7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [7,8,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [8,6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [8,5,6,4,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5],[8]]=>3 [8,6,4,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [8,4,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [8,5,6,3,4,2,1,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,4,5,3,6,2,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,4,3,5,6,2,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,3,4,5,6,2,1,7]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [8,6,5,4,2,3,1,7]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [8,5,6,4,2,3,1,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,4,5,6,2,3,1,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,6,5,3,2,4,1,7]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [8,6,5,2,3,4,1,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [8,5,6,2,3,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [8,6,4,2,3,5,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [8,6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [8,5,4,3,2,6,1,7]=>[[1,6,7],[2],[3],[4],[5],[8]]=>3 [8,4,3,5,2,6,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,5,4,2,3,6,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [8,4,5,2,3,6,1,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,5,3,2,4,6,1,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [8,5,2,3,4,6,1,7]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [8,3,2,4,5,6,1,7]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [8,2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [8,6,5,4,3,1,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [8,6,4,5,3,1,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [8,6,5,3,4,1,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [8,5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [8,5,4,3,6,1,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [8,5,3,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [8,4,3,5,6,1,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,3,4,5,6,1,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [8,6,5,4,2,1,3,7]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [8,5,6,4,2,1,3,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,4,5,6,2,1,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,6,5,4,1,2,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [8,5,6,4,1,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,6,4,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [8,6,5,3,2,1,4,7]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [8,5,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,6,5,2,3,1,4,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [8,5,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [8,5,6,3,1,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,6,5,2,1,3,4,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [8,5,6,2,1,3,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [8,6,5,1,2,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [8,5,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [8,6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [8,6,3,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [8,6,4,2,3,1,5,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [8,6,3,2,4,1,5,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [8,6,2,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [8,6,4,3,1,2,5,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [8,6,3,4,1,2,5,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [8,6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [8,6,4,1,2,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [8,6,3,2,1,4,5,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [8,6,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [8,5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5],[8]]=>3 [8,4,5,3,2,1,6,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,4,3,5,2,1,6,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,3,4,5,2,1,6,7]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [8,4,5,2,3,1,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [8,4,2,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [8,2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [8,5,3,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [8,3,4,5,1,2,6,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [8,5,4,2,1,3,6,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [8,5,4,1,2,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [8,4,5,1,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [8,5,3,2,1,4,6,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [8,5,3,1,2,4,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [8,5,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [8,4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [8,3,4,2,1,5,6,7]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [8,4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [8,2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [8,3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [8,4,2,1,3,5,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [8,4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>6 [8,3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [8,2,3,1,4,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [8,3,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [8,2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>7 [7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>2 [6,7,5,4,3,2,1,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [7,5,6,4,3,2,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [6,5,7,4,3,2,1,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,6,7,4,3,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [7,6,4,5,3,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [6,7,4,5,3,2,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,5,4,6,3,2,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [7,4,5,6,3,2,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [6,5,4,7,3,2,1,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,6,4,7,3,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [5,4,6,7,3,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [4,5,6,7,3,2,1,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [7,6,5,3,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [6,7,5,3,4,2,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [7,5,6,3,4,2,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [6,5,7,3,4,2,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,6,7,3,4,2,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [7,6,4,3,5,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [6,7,4,3,5,2,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,6,3,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [7,5,4,3,6,2,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [6,5,4,3,7,2,1,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,6,4,3,7,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [5,4,6,3,7,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [5,4,3,6,7,2,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [3,4,5,6,7,2,1,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [7,6,5,4,2,3,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [6,7,5,4,2,3,1,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [7,5,6,4,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [5,6,7,4,2,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [7,6,4,5,2,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [6,7,4,5,2,3,1,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [7,5,4,6,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [6,5,4,7,2,3,1,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [5,6,4,7,2,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,6,7,2,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [4,5,6,7,2,3,1,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [7,6,5,3,2,4,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [6,5,7,3,2,4,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,6,7,3,2,4,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [7,6,5,2,3,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [6,7,5,2,3,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [7,5,6,2,3,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [6,5,7,2,3,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [5,6,7,2,3,4,1,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [6,7,4,3,2,5,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,7,3,4,2,5,1,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,6,4,2,3,5,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [6,7,4,2,3,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [7,6,3,2,4,5,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [6,7,3,2,4,5,1,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,6,2,3,4,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [6,7,2,3,4,5,1,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [7,5,4,3,2,6,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [7,4,5,3,2,6,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [7,5,3,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [7,4,3,5,2,6,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [7,5,3,2,4,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [7,4,2,3,5,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [7,2,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>6 [6,5,4,3,2,7,1,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,6,4,3,2,7,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [5,6,3,4,2,7,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [6,3,4,5,2,7,1,8]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [5,4,3,6,2,7,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [4,5,3,6,2,7,1,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [5,3,4,6,2,7,1,8]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,5,6,2,7,1,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,5,6,2,7,1,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [5,4,6,2,3,7,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [6,5,3,2,4,7,1,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [6,4,2,3,5,7,1,8]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [5,4,3,2,6,7,1,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [3,4,5,2,6,7,1,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [4,5,2,3,6,7,1,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [5,2,3,4,6,7,1,8]=>[[1,3,4,6,7,8],[2],[5]]=>6 [4,3,2,5,6,7,1,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,2,5,6,7,1,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [4,2,3,5,6,7,1,8]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,4,5,6,7,1,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [2,3,4,5,6,7,1,8]=>[[1,3,4,5,6,7,8],[2]]=>7 [7,6,5,4,3,1,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [6,7,5,4,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [7,5,6,4,3,1,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [7,6,4,5,3,1,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [5,4,6,7,3,1,2,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [4,5,6,7,3,1,2,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [7,6,5,3,4,1,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [6,7,3,4,5,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>6 [6,5,4,3,7,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [5,6,3,4,7,1,2,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [6,3,4,5,7,1,2,8]=>[[1,2,5,7,8],[3,4],[6]]=>6 [4,3,5,6,7,1,2,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,4,5,6,7,1,2,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [7,6,5,4,2,1,3,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [6,5,7,4,2,1,3,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [7,6,4,5,2,1,3,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [7,5,4,6,2,1,3,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [5,4,6,7,2,1,3,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [4,5,6,7,2,1,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [7,6,5,4,1,2,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [5,6,7,4,1,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>6 [7,4,5,6,1,2,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6 [5,4,6,7,1,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>6 [4,5,6,7,1,2,3,8]=>[[1,2,3,7,8],[4,5,6]]=>7 [7,6,5,3,2,1,4,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [7,6,5,2,3,1,4,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [6,7,5,2,3,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [7,5,6,2,3,1,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [6,5,7,2,3,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [5,6,7,2,3,1,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [7,6,5,2,1,3,4,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [7,5,6,2,1,3,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [5,6,7,2,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [7,6,5,1,2,3,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [6,7,5,1,2,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [7,5,6,1,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [6,5,7,1,2,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [5,6,7,1,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>7 [7,6,4,3,2,1,5,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [6,7,4,3,2,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,6,3,4,2,1,5,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [6,7,3,4,2,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,6,4,2,3,1,5,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [7,6,3,2,4,1,5,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [7,6,2,3,4,1,5,8]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [6,7,2,3,4,1,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [7,6,4,3,1,2,5,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [7,6,4,2,1,3,5,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [7,6,3,2,1,4,5,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [6,7,3,2,1,4,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,6,2,3,1,4,5,8]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [6,7,2,3,1,4,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [6,7,3,1,2,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [7,6,1,2,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [6,7,1,2,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [7,5,4,3,2,1,6,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [7,4,5,3,2,1,6,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [7,4,3,5,2,1,6,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [7,3,4,5,2,1,6,8]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [7,5,4,2,3,1,6,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [7,5,3,2,4,1,6,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [7,5,2,3,4,1,6,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [7,4,2,3,5,1,6,8]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [7,2,3,4,5,1,6,8]=>[[1,3,4,5,6,8],[2],[7]]=>6 [7,5,4,3,1,2,6,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [7,4,5,1,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [7,5,3,2,1,4,6,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [7,5,2,3,1,4,6,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [7,5,3,1,2,4,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [7,5,1,2,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [7,4,3,2,1,5,6,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [7,2,3,4,1,5,6,8]=>[[1,3,4,5,6,8],[2],[7]]=>6 [7,4,3,1,2,5,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [7,3,4,1,2,5,6,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [7,4,1,2,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>6 [7,3,2,1,4,5,6,8]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [7,2,3,1,4,5,6,8]=>[[1,3,4,5,6,8],[2],[7]]=>6 [7,3,1,2,4,5,6,8]=>[[1,2,4,5,6,8],[3],[7]]=>6 [7,2,1,3,4,5,6,8]=>[[1,3,4,5,6,8],[2],[7]]=>6 [7,1,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>7 [6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>3 [5,6,4,3,2,1,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [5,4,6,3,2,1,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [4,5,6,3,2,1,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [6,5,3,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [5,6,3,4,2,1,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,4,3,6,2,1,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [3,4,5,6,2,1,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [5,4,6,2,3,1,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,6,3,2,4,1,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [6,5,2,3,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [5,6,2,3,4,1,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>6 [6,4,3,2,5,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [6,2,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [5,4,3,2,6,1,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [4,5,3,2,6,1,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [4,3,5,2,6,1,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,5,2,6,1,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [5,2,3,4,6,1,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>6 [4,3,2,5,6,1,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,2,5,6,1,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [4,2,3,5,6,1,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,4,5,6,1,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [2,3,4,5,6,1,7,8]=>[[1,3,4,5,6,7,8],[2]]=>7 [6,5,4,3,1,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [5,4,6,3,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,4,3,6,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [4,3,5,6,1,2,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,4,5,6,1,2,7,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [6,5,4,2,1,3,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [6,4,5,2,1,3,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,5,6,2,1,3,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,5,6,1,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>7 [5,6,3,2,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,6,2,1,3,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>6 [6,4,3,2,1,5,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [6,3,4,2,1,5,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [6,4,3,1,2,5,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [6,4,2,1,3,5,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [6,4,1,2,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>6 [6,2,3,1,4,5,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [6,3,1,2,4,5,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>6 [6,1,2,3,4,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>7 [5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>4 [4,5,3,2,1,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [5,3,4,2,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,5,2,1,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,5,2,1,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [5,4,2,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [4,5,2,3,1,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [5,3,2,4,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [5,2,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>6 [4,3,2,5,1,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,2,5,1,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [4,2,3,5,1,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,4,5,1,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [2,3,4,5,1,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>7 [5,4,3,1,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [4,3,5,1,2,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,4,5,1,2,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [5,4,2,1,3,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [4,5,2,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,5,1,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [5,3,2,1,4,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [5,2,3,1,4,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>6 [5,3,1,2,4,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6 [5,1,2,3,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>7 [4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>5 [3,4,2,1,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [4,2,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,4,1,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [2,3,4,1,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>7 [4,3,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>6 [3,4,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [4,2,1,3,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>6 [4,1,2,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>7 [3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>6 [2,3,1,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>7 [3,1,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>7 [2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>7 [1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>8 [6,8,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>2 [5,8,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>2 [5,7,8,6,4,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [6,5,8,7,4,3,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [5,6,8,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>3 [5,7,6,8,4,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [4,8,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>2 [4,7,8,6,5,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [4,6,8,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [4,7,6,8,5,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [5,4,7,8,6,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [4,5,8,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [5,6,4,8,7,3,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [4,6,5,8,7,3,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [4,5,6,8,7,3,2,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [5,7,6,4,8,3,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [4,7,6,5,8,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [4,6,7,5,8,3,2,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [5,4,7,6,8,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [4,5,7,6,8,3,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [4,6,5,7,8,3,2,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [3,8,7,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>2 [3,7,8,6,5,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [3,6,8,7,5,4,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [3,7,6,8,5,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [3,5,8,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [3,5,7,8,6,4,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [3,5,6,8,7,4,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [3,7,6,5,8,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [3,5,7,6,8,4,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [3,5,6,7,8,4,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,8,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [4,3,7,8,6,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [4,3,6,7,8,5,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,4,6,7,8,5,2,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [5,4,3,8,7,6,2,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [5,4,3,7,8,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,5,4,7,8,6,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,4,5,7,8,6,2,1]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [6,5,4,3,8,7,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [5,6,4,3,8,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [4,5,6,3,8,7,2,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,6,5,4,8,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [4,3,6,5,8,7,2,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [5,4,3,6,8,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [4,5,3,6,8,7,2,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,4,5,6,8,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [5,7,6,4,3,8,2,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [5,4,7,6,3,8,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,7,6,5,4,8,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [3,5,7,6,4,8,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [3,5,6,7,4,8,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,7,6,5,8,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [3,4,7,6,5,8,2,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [3,4,6,7,5,8,2,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [3,5,4,7,6,8,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,4,5,7,6,8,2,1]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [3,6,5,4,7,8,2,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [3,5,6,4,7,8,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,6,5,7,8,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,4,6,5,7,8,2,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [3,5,4,6,7,8,2,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [2,8,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>2 [2,7,8,6,5,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [2,6,8,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [2,7,6,8,5,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [2,6,7,8,5,4,3,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [2,5,8,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [2,6,7,5,8,4,3,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [2,5,6,7,8,4,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,4,8,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [2,4,7,8,6,5,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [2,4,6,8,7,5,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [2,4,6,7,8,5,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [2,5,4,8,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [2,5,4,7,8,6,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [2,4,5,7,8,6,3,1]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [2,6,5,4,8,7,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [2,5,6,4,8,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [2,4,6,5,8,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,4,5,6,8,7,3,1]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [2,7,6,5,4,8,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [2,5,6,7,4,8,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,4,6,7,5,8,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [2,5,4,7,6,8,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [2,6,5,4,7,8,3,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [2,5,6,4,7,8,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,4,6,5,7,8,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [2,5,4,6,7,8,3,1]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,4,5,6,7,8,3,1]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,8,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [3,2,7,8,6,5,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [3,2,6,8,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [3,2,5,7,8,6,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,2,5,7,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,2,5,6,7,8,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [2,3,8,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [2,3,6,7,8,5,4,1]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [2,3,5,7,8,6,4,1]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [2,3,6,5,8,7,4,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [2,3,5,6,8,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [2,3,7,6,5,8,4,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [2,3,5,7,6,8,4,1]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [2,3,5,6,7,8,4,1]=>[[1,3,4,6,7,8],[2],[5]]=>6 [4,3,2,8,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [4,3,2,7,8,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [3,4,2,8,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [3,4,2,7,8,6,5,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [2,4,3,8,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [2,4,3,6,8,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,4,3,6,7,8,5,1]=>[[1,3,5,7,8],[2,6],[4]]=>5 [3,2,4,8,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [2,3,4,8,7,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [2,3,4,7,8,6,5,1]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [2,3,4,6,8,7,5,1]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [2,3,4,7,6,8,5,1]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [2,3,4,6,7,8,5,1]=>[[1,3,4,5,7,8],[2],[6]]=>6 [5,4,3,2,8,7,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [5,4,3,2,7,8,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,5,4,2,7,8,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,4,5,2,7,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>5 [2,5,4,3,8,7,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [2,5,4,3,7,8,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [2,4,5,3,7,8,6,1]=>[[1,3,5,6,8],[2,7],[4]]=>5 [3,2,5,4,7,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [2,3,5,4,7,8,6,1]=>[[1,3,4,6,8],[2,7],[5]]=>5 [4,3,2,5,8,7,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,3,2,5,7,8,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,4,2,5,8,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [3,4,2,5,7,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,2,4,5,7,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>5 [2,3,4,5,8,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [2,3,4,5,7,8,6,1]=>[[1,3,4,5,6,8],[2],[7]]=>6 [6,5,4,3,2,8,7,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [4,6,5,3,2,8,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [5,4,6,3,2,8,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [3,5,6,4,2,8,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,3,6,5,2,8,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [5,4,3,6,2,8,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [4,5,3,6,2,8,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,4,5,6,2,8,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,6,5,4,3,8,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [2,4,6,5,3,8,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,4,5,6,3,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,2,6,5,4,8,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [2,3,5,6,4,8,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>5 [4,3,2,6,5,8,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [2,4,3,6,5,8,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>4 [3,2,4,6,5,8,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,3,4,6,5,8,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>5 [5,4,3,2,6,8,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [2,4,5,3,6,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,2,5,4,6,8,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>4 [4,3,2,5,6,8,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,4,2,5,6,8,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,4,3,5,6,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,2,4,5,6,8,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,3,4,5,6,8,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>6 [5,7,6,4,3,2,8,1]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [4,7,6,5,3,2,8,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [4,6,7,5,3,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [4,6,5,7,3,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [3,5,7,6,4,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [3,5,6,7,4,2,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,7,6,5,2,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [3,4,7,6,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [3,4,6,7,5,2,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [5,4,3,7,6,2,8,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,5,4,7,6,2,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,4,5,7,6,2,8,1]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [4,6,5,3,7,2,8,1]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [3,6,5,4,7,2,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [3,5,6,4,7,2,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,6,5,7,2,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,4,6,5,7,2,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [3,5,4,6,7,2,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [2,7,6,5,4,3,8,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [2,6,5,7,4,3,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [2,5,6,7,4,3,8,1]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,4,6,7,5,3,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [2,4,6,5,7,3,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [2,5,4,6,7,3,8,1]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,4,5,6,7,3,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,7,6,5,4,8,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [3,2,6,7,5,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,2,5,7,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,2,6,5,7,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,2,5,6,7,4,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [2,3,7,6,5,4,8,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [2,3,5,7,6,4,8,1]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [2,3,5,6,7,4,8,1]=>[[1,3,4,6,7,8],[2],[5]]=>6 [4,3,2,7,6,5,8,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,3,2,6,7,5,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,4,2,7,6,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [3,4,2,6,7,5,8,1]=>[[1,4,5,7,8],[2,6],[3]]=>5 [2,4,3,7,6,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [2,4,3,6,7,5,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>5 [3,2,4,7,6,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [2,3,4,7,6,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [2,3,4,6,7,5,8,1]=>[[1,3,4,5,7,8],[2],[6]]=>6 [5,4,3,2,7,6,8,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,5,4,2,7,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [4,3,5,2,7,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,4,5,2,7,6,8,1]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,2,5,4,7,6,8,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [2,3,5,4,7,6,8,1]=>[[1,3,4,6,8],[2,7],[5]]=>5 [4,3,2,5,7,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,4,2,5,7,6,8,1]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,2,4,5,7,6,8,1]=>[[1,4,5,6,8],[2,7],[3]]=>5 [2,3,4,5,7,6,8,1]=>[[1,3,4,5,6,8],[2],[7]]=>6 [3,5,6,4,2,7,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [3,4,6,5,2,7,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [3,5,4,6,2,7,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [2,6,5,4,3,7,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [2,5,6,4,3,7,8,1]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,4,6,5,3,7,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [2,4,5,6,3,7,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,5,6,4,7,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [2,3,6,5,4,7,8,1]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [2,3,5,6,4,7,8,1]=>[[1,3,4,6,7,8],[2],[5]]=>6 [4,3,2,6,5,7,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,4,2,6,5,7,8,1]=>[[1,4,5,7,8],[2,6],[3]]=>5 [2,4,3,6,5,7,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>5 [2,3,4,6,5,7,8,1]=>[[1,3,4,5,7,8],[2],[6]]=>6 [3,5,4,2,6,7,8,1]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [2,4,5,3,6,7,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,5,4,6,7,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [2,3,5,4,6,7,8,1]=>[[1,3,4,6,7,8],[2],[5]]=>6 [2,4,3,5,6,7,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>6 [1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>2 [1,7,8,6,5,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [1,6,8,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [1,7,6,8,5,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [1,6,7,8,5,4,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [1,5,8,7,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [1,6,5,8,7,4,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [1,7,6,5,8,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [1,6,7,5,8,4,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [1,5,7,6,8,4,3,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [1,6,5,7,8,4,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [1,5,6,7,8,4,3,2]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,8,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [1,4,7,8,6,5,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [1,4,6,8,7,5,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [1,4,6,7,8,5,3,2]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [1,5,4,7,8,6,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [1,4,5,8,7,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [1,4,6,5,8,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,7,6,5,4,8,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [1,4,7,6,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [1,4,6,7,5,8,3,2]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [1,6,5,4,7,8,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [1,5,6,4,7,8,3,2]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,5,4,6,7,8,3,2]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,5,6,7,8,3,2]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,3,8,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [1,3,7,8,6,5,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [1,3,6,8,7,5,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [1,3,6,7,8,5,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,3,5,8,7,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [1,3,5,7,8,6,4,2]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [1,3,5,6,8,7,4,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,3,6,7,5,8,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,3,6,5,7,8,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,3,5,6,7,8,4,2]=>[[1,2,4,6,7,8],[3],[5]]=>6 [1,4,3,8,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [1,4,3,7,8,6,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [1,4,3,6,8,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,4,3,7,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [1,4,3,6,7,8,5,2]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,3,4,8,7,6,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [1,3,4,7,6,8,5,2]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [1,3,4,6,7,8,5,2]=>[[1,2,4,5,7,8],[3],[6]]=>6 [1,5,4,3,8,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [1,4,5,3,8,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [1,4,5,3,7,8,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,3,5,4,8,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,4,3,5,7,8,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,3,4,5,8,7,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [1,3,4,5,7,8,6,2]=>[[1,2,4,5,6,8],[3],[7]]=>6 [1,6,5,4,3,8,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [1,5,6,4,3,8,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [1,4,6,5,3,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,4,5,6,3,8,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,4,3,6,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [1,5,4,3,6,8,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [1,4,5,3,6,8,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,3,4,5,6,8,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,7,6,5,4,3,8,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [1,6,7,5,4,3,8,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [1,6,5,7,4,3,8,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [1,5,6,7,4,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,6,7,5,3,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [1,5,6,4,7,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,6,5,7,3,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [1,5,4,6,7,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,5,6,7,3,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,3,6,5,7,4,8,2]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,3,5,6,7,4,8,2]=>[[1,2,4,6,7,8],[3],[5]]=>6 [1,3,4,6,7,5,8,2]=>[[1,2,4,5,7,8],[3],[6]]=>6 [1,3,5,4,7,6,8,2]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,3,4,5,7,6,8,2]=>[[1,2,4,5,6,8],[3],[7]]=>6 [1,5,4,6,3,7,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,3,6,5,7,8,2]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,3,4,6,5,7,8,2]=>[[1,2,4,5,7,8],[3],[6]]=>6 [1,5,4,3,6,7,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,5,3,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,4,3,5,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,3,4,5,6,7,8,2]=>[[1,2,4,5,6,7,8],[3]]=>7 [2,1,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [2,1,7,8,6,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [2,1,6,8,7,5,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [2,1,7,6,8,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [2,1,6,7,8,5,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [2,1,5,8,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [2,1,5,7,8,6,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [2,1,6,5,8,7,4,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [2,1,5,6,8,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,1,7,6,5,8,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [2,1,6,7,5,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [2,1,5,7,6,8,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [2,1,6,5,7,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [2,1,5,6,7,8,4,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,1,4,8,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,1,4,7,8,6,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [2,1,4,6,8,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,1,4,6,7,8,5,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,1,5,4,8,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [2,1,5,4,7,8,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,1,4,5,8,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [2,1,4,5,7,8,6,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [2,1,6,5,4,8,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [2,1,5,6,4,8,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,1,4,6,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,5,4,6,8,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,1,4,5,6,8,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [2,1,7,6,5,4,8,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [2,1,6,7,5,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [2,1,5,7,6,4,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [2,1,6,5,7,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [2,1,5,6,7,4,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,1,4,7,6,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [2,1,4,6,7,5,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,1,5,4,7,6,8,3]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,1,5,6,4,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,1,5,4,6,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,1,4,5,6,7,8,3]=>[[1,3,5,6,7,8],[2,4]]=>6 [1,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [1,2,7,8,6,5,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,2,7,6,8,5,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,2,6,7,8,5,4,3]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [1,2,5,8,7,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [1,2,6,5,8,7,4,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,2,5,6,8,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [1,2,7,6,5,8,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,2,5,7,6,8,4,3]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [1,2,6,5,7,8,4,3]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [1,2,5,6,7,8,4,3]=>[[1,2,3,6,7,8],[4],[5]]=>6 [1,2,4,8,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [1,2,4,7,8,6,5,3]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [1,2,4,6,8,7,5,3]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [1,2,4,6,7,8,5,3]=>[[1,2,3,5,7,8],[4],[6]]=>6 [1,2,5,4,8,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,2,4,5,8,7,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [1,2,4,5,7,8,6,3]=>[[1,2,3,5,6,8],[4],[7]]=>6 [1,2,5,4,6,8,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,2,4,5,6,8,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>6 [1,2,7,6,5,4,8,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,2,5,7,6,4,8,3]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [1,2,5,6,7,4,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>6 [1,2,4,7,6,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [1,2,5,4,7,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,2,6,5,4,7,8,3]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [1,2,5,6,4,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>6 [1,2,5,4,6,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>6 [1,2,4,5,6,7,8,3]=>[[1,2,3,5,6,7,8],[4]]=>7 [3,2,1,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [3,2,1,7,8,6,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,2,1,6,8,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,2,1,7,6,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,2,1,6,7,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,2,1,5,8,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,2,1,5,7,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,2,1,6,5,8,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [3,2,1,5,6,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,2,1,7,6,5,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,2,1,6,7,5,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,2,1,5,7,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,2,1,6,5,7,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,2,1,5,6,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [2,3,1,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [2,3,1,7,8,6,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,3,1,6,8,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,3,1,7,6,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,3,1,6,7,8,5,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [2,3,1,5,7,8,6,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [2,3,1,6,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,3,1,7,6,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,3,1,6,7,5,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [2,3,1,5,7,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [2,3,1,5,6,7,8,4]=>[[1,3,4,6,7,8],[2,5]]=>6 [1,3,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [1,3,2,6,8,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,3,2,7,6,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,3,2,6,7,8,5,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,3,2,5,8,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,3,2,5,7,8,6,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,3,2,6,5,8,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,3,2,5,6,8,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [1,3,2,7,6,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,3,2,6,7,5,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,3,2,6,5,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,3,2,5,6,7,8,4]=>[[1,2,4,6,7,8],[3,5]]=>6 [2,1,3,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [2,1,3,7,8,6,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,1,3,6,8,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,1,3,6,7,8,5,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [2,1,3,6,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,1,3,5,6,7,8,4]=>[[1,3,4,6,7,8],[2,5]]=>6 [1,2,3,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [1,2,3,7,8,6,5,4]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [1,2,3,6,8,7,5,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [1,2,3,7,6,8,5,4]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [1,2,3,6,7,8,5,4]=>[[1,2,3,4,7,8],[5],[6]]=>6 [1,2,3,5,8,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [1,2,3,5,7,8,6,4]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,2,3,6,5,8,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,2,3,5,6,8,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>6 [1,2,3,7,6,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [1,2,3,6,7,5,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>6 [1,2,3,5,7,6,8,4]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,2,3,6,5,7,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>6 [1,2,3,5,6,7,8,4]=>[[1,2,3,4,6,7,8],[5]]=>7 [4,3,2,1,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [4,3,2,1,7,8,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,3,2,1,6,8,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,3,2,1,7,6,8,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,3,2,1,6,7,8,5]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,4,2,1,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,4,2,1,7,8,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,4,2,1,6,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,4,2,1,7,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,4,2,1,6,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>5 [2,4,3,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,4,3,1,7,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [2,4,3,1,6,8,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,4,3,1,7,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [2,4,3,1,6,7,8,5]=>[[1,3,5,7,8],[2,6],[4]]=>5 [3,2,4,1,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,2,4,1,7,8,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,2,4,1,6,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,4,1,7,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,2,4,1,6,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>5 [2,3,4,1,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,3,4,1,7,8,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,3,4,1,6,8,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,4,1,7,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,3,4,1,6,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>6 [1,4,3,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [1,4,3,2,6,8,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [1,4,3,2,7,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [1,4,3,2,6,7,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,3,4,2,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,3,4,2,7,8,6,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,3,4,2,6,8,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,3,4,2,7,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,3,4,2,6,7,8,5]=>[[1,2,4,5,7,8],[3,6]]=>6 [2,1,4,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [2,1,4,3,7,8,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,1,4,3,6,8,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,1,4,3,7,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,1,4,3,6,7,8,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [1,2,4,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,2,4,3,7,8,6,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,2,4,3,7,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,2,4,3,6,7,8,5]=>[[1,2,3,5,7,8],[4,6]]=>6 [3,2,1,4,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,2,1,4,7,8,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,2,1,4,6,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,1,4,7,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,2,1,4,6,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>5 [2,3,1,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,3,1,4,7,8,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,3,1,4,7,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,3,1,4,6,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>6 [1,3,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,3,2,4,6,8,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,3,2,4,7,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,3,2,4,6,7,8,5]=>[[1,2,4,5,7,8],[3,6]]=>6 [2,1,3,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,1,3,4,7,8,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,1,3,4,7,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,1,3,4,6,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>6 [1,2,3,4,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,2,3,4,7,8,6,5]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,2,3,4,6,8,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>6 [1,2,3,4,7,6,8,5]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,2,3,4,6,7,8,5]=>[[1,2,3,4,5,7,8],[6]]=>7 [5,4,3,2,1,8,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [5,4,3,2,1,7,8,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [4,5,3,2,1,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [3,5,4,2,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [3,5,4,2,1,7,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [4,3,5,2,1,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [3,4,5,2,1,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [2,5,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [2,4,5,3,1,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [2,4,5,3,1,7,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>5 [3,2,5,4,1,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [3,2,5,4,1,7,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [2,3,5,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [4,3,2,5,1,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,3,2,5,1,7,8,6]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,4,2,5,1,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,4,2,5,1,7,8,6]=>[[1,4,5,6,8],[2,7],[3]]=>5 [2,4,3,5,1,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [2,4,3,5,1,7,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>5 [3,2,4,5,1,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [2,3,4,5,1,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,3,4,5,1,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>6 [1,5,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [1,5,4,3,2,7,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [1,4,5,3,2,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [1,4,5,3,2,7,8,6]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,3,5,4,2,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,3,4,5,2,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,3,4,5,2,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>6 [2,1,4,5,3,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [1,2,5,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,2,5,4,3,7,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,2,4,5,3,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,2,4,5,3,7,8,6]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,3,2,5,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,3,2,5,4,7,8,6]=>[[1,2,4,6,8],[3,5,7]]=>5 [2,1,3,5,4,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,1,3,5,4,7,8,6]=>[[1,3,4,6,8],[2,5,7]]=>5 [1,2,3,5,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,2,3,5,4,7,8,6]=>[[1,2,3,4,6,8],[5,7]]=>6 [4,3,2,1,5,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,3,2,1,5,7,8,6]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [2,4,3,1,5,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [3,2,4,1,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,2,4,1,5,7,8,6]=>[[1,4,5,6,8],[2,7],[3]]=>5 [2,3,4,1,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,3,4,1,5,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>6 [1,4,3,2,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [1,4,3,2,5,7,8,6]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,3,4,2,5,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>6 [2,1,4,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,1,4,3,5,7,8,6]=>[[1,3,5,6,8],[2,4,7]]=>5 [1,2,4,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,2,4,3,5,7,8,6]=>[[1,2,3,5,6,8],[4,7]]=>6 [3,2,1,4,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,2,1,4,5,7,8,6]=>[[1,4,5,6,8],[2,7],[3]]=>5 [2,3,1,4,5,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>6 [1,3,2,4,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,3,2,4,5,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>6 [2,1,3,4,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,1,3,4,5,7,8,6]=>[[1,3,4,5,6,8],[2,7]]=>6 [1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [1,2,3,4,5,7,8,6]=>[[1,2,3,4,5,6,8],[7]]=>7 [6,5,4,3,2,1,8,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [5,6,4,3,2,1,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [4,6,5,3,2,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [5,4,6,3,2,1,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [4,5,6,3,2,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,6,5,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [3,5,6,4,2,1,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,3,6,5,2,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [3,4,6,5,2,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [5,4,3,6,2,1,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [4,5,3,6,2,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,3,5,6,2,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,4,5,6,2,1,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,6,5,4,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [2,5,6,4,3,1,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [2,4,6,5,3,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [3,2,6,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [3,2,5,6,4,1,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [2,3,6,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [2,3,5,6,4,1,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [4,3,2,6,5,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [3,4,2,6,5,1,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,4,3,6,5,1,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [5,4,3,2,6,1,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [4,3,5,2,6,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,4,5,2,6,1,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,5,4,3,6,1,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [2,4,5,3,6,1,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,2,5,4,6,1,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [4,3,2,5,6,1,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,4,2,5,6,1,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,4,3,5,6,1,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [2,3,4,5,6,1,8,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [1,6,5,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [1,5,6,4,3,2,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [1,5,4,6,3,2,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [1,3,6,5,4,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,3,4,5,6,2,8,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [2,1,6,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [2,1,5,6,4,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,1,4,6,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,5,4,6,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,1,4,5,6,3,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [1,2,4,5,6,3,8,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [2,3,1,6,5,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [1,3,2,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,3,2,5,6,4,8,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [2,1,3,5,6,4,8,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [1,2,3,6,5,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,2,3,5,6,4,8,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [4,3,2,1,6,5,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [3,4,2,1,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,4,3,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [3,2,4,1,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,3,4,1,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [1,3,4,2,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [2,1,4,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [1,2,4,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [2,3,1,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [1,3,2,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [2,1,3,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [1,2,3,4,6,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [5,4,3,2,1,6,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [4,5,3,2,1,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,5,4,2,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,3,5,2,1,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,4,5,2,1,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,5,4,3,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [2,4,5,3,1,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,2,5,4,1,6,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [2,3,5,4,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [2,3,4,5,1,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [1,4,5,3,2,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,3,5,4,2,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [2,1,4,5,3,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [1,2,5,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,2,3,5,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [4,3,2,1,5,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,2,4,1,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,3,4,1,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [1,4,3,2,5,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,3,4,2,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [2,1,4,3,5,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [1,2,4,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [3,2,1,4,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,3,1,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [1,3,2,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [2,1,3,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8]]=>7 [5,7,6,4,3,2,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>3 [4,7,6,5,3,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [5,4,7,6,3,2,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [4,5,7,6,3,2,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [4,6,5,7,3,2,1,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>4 [3,5,7,6,4,2,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [3,5,6,7,4,2,1,8]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,7,6,5,2,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [3,4,7,6,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [5,4,3,7,6,2,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,5,4,7,6,2,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,6,5,4,7,2,1,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [3,5,6,4,7,2,1,8]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [4,3,6,5,7,2,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [2,7,6,5,4,3,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [2,6,7,5,4,3,1,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [2,5,7,6,4,3,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [2,5,6,7,4,3,1,8]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,4,6,7,5,3,1,8]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [2,5,6,4,7,3,1,8]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,5,4,6,7,3,1,8]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,4,5,6,7,3,1,8]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,7,6,5,4,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [3,2,6,7,5,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,2,5,7,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,2,6,5,7,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,2,5,6,7,4,1,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [2,3,7,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [2,3,6,7,5,4,1,8]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [2,3,5,7,6,4,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [2,3,6,5,7,4,1,8]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [2,3,5,6,7,4,1,8]=>[[1,3,4,6,7,8],[2],[5]]=>6 [4,3,2,6,7,5,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,4,2,6,7,5,1,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [3,2,4,6,7,5,1,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [2,3,4,7,6,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [2,3,4,6,7,5,1,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [5,4,3,2,7,6,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [4,5,3,2,7,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,5,4,2,7,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [4,3,5,2,7,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,4,5,2,7,6,1,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,2,5,4,7,6,1,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [4,3,2,5,7,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,4,2,5,7,6,1,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [2,3,4,5,7,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>6 [3,5,6,4,2,7,1,8]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [3,4,6,5,2,7,1,8]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [3,5,4,6,2,7,1,8]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [2,5,4,6,3,7,1,8]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [3,2,6,5,4,7,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [2,3,5,6,4,7,1,8]=>[[1,3,4,6,7,8],[2],[5]]=>6 [2,4,3,6,5,7,1,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [2,3,4,6,5,7,1,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [2,3,5,4,6,7,1,8]=>[[1,3,4,6,7,8],[2],[5]]=>6 [1,7,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [1,6,7,5,4,3,2,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [1,6,5,7,4,3,2,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [1,5,6,7,4,3,2,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,7,6,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [1,4,6,7,5,3,2,8]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [1,5,6,4,7,3,2,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,5,4,6,7,3,2,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,5,6,7,3,2,8]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,3,6,7,5,4,2,8]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,3,5,7,6,4,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [1,3,6,5,7,4,2,8]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,3,5,6,7,4,2,8]=>[[1,2,4,6,7,8],[3],[5]]=>6 [1,3,4,6,7,5,2,8]=>[[1,2,4,5,7,8],[3],[6]]=>6 [1,3,5,4,7,6,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,4,3,5,7,6,2,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,3,4,5,7,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>6 [1,5,4,6,3,7,2,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,3,6,5,4,7,2,8]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,5,4,3,6,7,2,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,5,3,6,7,2,8]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,3,4,5,6,7,2,8]=>[[1,2,4,5,6,7,8],[3]]=>7 [2,1,7,6,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [2,1,6,7,5,4,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [2,1,5,6,7,4,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,1,4,5,6,7,3,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [1,2,7,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,2,6,7,5,4,3,8]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [1,2,5,7,6,4,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [1,2,5,6,7,4,3,8]=>[[1,2,3,6,7,8],[4],[5]]=>6 [1,2,4,6,7,5,3,8]=>[[1,2,3,5,7,8],[4],[6]]=>6 [1,2,5,6,4,7,3,8]=>[[1,2,3,6,7,8],[4],[5]]=>6 [1,2,5,4,6,7,3,8]=>[[1,2,3,6,7,8],[4],[5]]=>6 [1,2,4,5,6,7,3,8]=>[[1,2,3,5,6,7,8],[4]]=>7 [3,2,1,7,6,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,2,1,5,7,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [2,3,1,6,7,5,4,8]=>[[1,3,4,7,8],[2,5],[6]]=>5 [2,3,1,5,6,7,4,8]=>[[1,3,4,6,7,8],[2,5]]=>6 [1,3,2,7,6,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,3,2,6,7,5,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,3,2,5,7,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,3,2,5,6,7,4,8]=>[[1,2,4,6,7,8],[3,5]]=>6 [2,1,3,6,7,5,4,8]=>[[1,3,4,7,8],[2,5],[6]]=>5 [1,2,3,7,6,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [1,2,3,6,7,5,4,8]=>[[1,2,3,4,7,8],[5],[6]]=>6 [1,2,3,5,7,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,2,3,6,5,7,4,8]=>[[1,2,3,4,7,8],[5],[6]]=>6 [1,2,3,5,6,7,4,8]=>[[1,2,3,4,6,7,8],[5]]=>7 [4,3,2,1,7,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,3,2,1,6,7,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,2,4,1,7,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,2,4,1,6,7,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [2,3,4,1,7,6,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,3,4,1,6,7,5,8]=>[[1,3,4,5,7,8],[2,6]]=>6 [1,4,3,2,7,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>4 [1,4,3,2,6,7,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,3,4,2,6,7,5,8]=>[[1,2,4,5,7,8],[3,6]]=>6 [1,2,4,3,6,7,5,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [3,2,1,4,7,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [2,3,1,4,6,7,5,8]=>[[1,3,4,5,7,8],[2,6]]=>6 [1,3,2,4,7,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,2,3,4,7,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,2,3,4,6,7,5,8]=>[[1,2,3,4,5,7,8],[6]]=>7 [5,4,3,2,1,7,6,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [4,5,3,2,1,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,5,4,2,1,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,4,5,2,1,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [2,4,5,3,1,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>5 [3,2,5,4,1,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [2,3,4,5,1,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [1,5,4,3,2,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [1,4,5,3,2,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,3,5,4,2,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,3,4,5,2,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [2,1,5,4,3,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>4 [1,2,4,5,3,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [3,2,1,5,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [2,3,1,5,4,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>5 [1,3,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,2,3,5,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [4,3,2,1,5,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,2,4,1,5,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [2,3,4,1,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [1,4,3,2,5,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,3,4,2,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [1,2,4,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [2,3,1,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [1,3,2,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [2,1,3,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [1,2,3,4,5,7,6,8]=>[[1,2,3,4,5,6,8],[7]]=>7 [3,6,5,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [4,3,6,5,2,1,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [2,4,6,5,3,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [2,4,5,6,3,1,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>6 [2,3,6,5,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [2,3,5,6,4,1,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>6 [4,3,2,6,5,1,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [2,4,3,6,5,1,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [2,3,4,6,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [3,5,4,2,6,1,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [1,6,5,4,3,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [1,5,6,4,3,2,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,6,5,3,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [1,5,4,6,3,2,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,5,6,3,2,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,3,5,6,4,2,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6 [1,4,3,6,5,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,5,4,3,6,2,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,5,3,6,2,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,4,3,5,6,2,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,3,4,5,6,2,7,8]=>[[1,2,4,5,6,7,8],[3]]=>7 [2,1,5,6,4,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,1,4,6,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [1,2,6,5,4,3,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [1,2,4,6,5,3,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>6 [1,2,4,5,6,3,7,8]=>[[1,2,3,5,6,7,8],[4]]=>7 [3,2,1,5,6,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [2,3,1,6,5,4,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>5 [2,3,1,5,6,4,7,8]=>[[1,3,4,6,7,8],[2,5]]=>6 [1,3,2,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,3,2,5,6,4,7,8]=>[[1,2,4,6,7,8],[3,5]]=>6 [1,2,3,6,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>6 [1,2,3,5,6,4,7,8]=>[[1,2,3,4,6,7,8],[5]]=>7 [4,3,2,1,6,5,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [2,4,3,1,6,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [3,2,4,1,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [2,3,4,1,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>6 [2,1,4,3,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>5 [1,2,4,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [1,3,2,4,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6 [2,1,3,4,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>6 [1,2,3,4,6,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>7 [3,5,4,2,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>5 [2,5,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [2,4,5,3,1,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>6 [3,2,5,4,1,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [2,3,5,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>6 [2,4,3,5,1,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>6 [1,5,4,3,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [1,4,5,3,2,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,3,4,5,2,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>7 [2,1,5,4,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,1,4,5,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [1,2,5,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6 [2,3,1,5,4,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>6 [1,3,2,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>6 [1,2,3,5,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>7 [2,4,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>6 [1,4,3,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>6 [1,3,4,2,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>7 [2,1,4,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [1,2,4,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>7 [1,3,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>7 [1,2,3,4,8,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>6 [1,2,3,5,8,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>6 [1,2,3,7,5,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,2,3,7,5,6,8,4]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,2,3,8,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>6 [1,2,3,8,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [1,2,3,8,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [1,2,3,8,6,7,5,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [1,2,4,5,8,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>6 [1,2,4,7,5,6,8,3]=>[[1,2,3,5,6,8],[4],[7]]=>6 [1,2,4,8,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>6 [1,2,4,8,6,5,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [1,2,6,4,5,7,8,3]=>[[1,2,3,5,7,8],[4],[6]]=>6 [1,2,7,4,5,6,8,3]=>[[1,2,3,5,6,8],[4],[7]]=>6 [1,2,8,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>6 [1,2,8,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [1,2,8,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [1,2,7,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [1,2,7,5,4,6,8,3]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [1,2,8,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [1,2,8,5,6,4,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [1,2,8,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [1,2,8,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [1,2,8,6,5,7,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [1,2,8,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [1,3,2,7,5,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,3,2,8,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,3,2,8,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,3,2,8,6,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,3,4,2,8,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,3,4,5,8,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,3,4,8,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,3,6,4,5,2,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [1,3,6,4,5,7,8,2]=>[[1,2,4,5,7,8],[3],[6]]=>6 [1,3,7,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>6 [1,3,7,4,5,6,8,2]=>[[1,2,4,5,6,8],[3],[7]]=>6 [1,3,8,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,3,8,4,6,5,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [1,3,8,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,3,8,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,3,8,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,3,8,5,7,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [1,3,8,6,5,7,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [1,3,8,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [1,4,3,5,8,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,4,3,8,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,4,3,8,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [1,4,3,8,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,4,3,8,6,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,5,3,4,2,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6 [1,5,3,4,2,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,5,3,4,2,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [1,5,3,4,6,2,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [1,5,3,4,6,7,2,8]=>[[1,2,4,6,7,8],[3],[5]]=>6 [1,5,3,4,6,7,8,2]=>[[1,2,4,6,7,8],[3],[5]]=>6 [1,6,3,4,5,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>6 [1,6,3,4,5,8,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>5 [1,7,3,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>6 [1,7,3,4,5,6,8,2]=>[[1,2,4,5,6,8],[3],[7]]=>6 [1,8,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,8,3,4,6,7,5,2]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [1,6,3,5,4,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,6,3,5,4,8,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,7,3,5,4,6,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [1,8,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,8,3,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,8,3,5,6,4,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,8,3,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,8,3,5,7,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [1,7,3,6,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [1,7,3,6,5,4,8,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [1,8,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [1,8,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [1,8,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [1,6,4,3,5,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [1,6,4,3,5,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,8,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [1,8,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [1,7,4,3,6,5,8,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [1,8,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,8,4,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,6,4,5,3,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [1,6,4,5,3,2,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,6,4,5,3,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,7,4,5,3,6,8,2]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [1,8,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [1,7,4,5,6,3,8,2]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [1,8,4,5,6,3,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [1,8,4,5,6,7,3,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [1,7,4,6,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [1,8,4,6,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [1,8,4,6,5,7,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [1,8,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [1,7,5,4,3,6,8,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [1,8,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [1,8,5,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,8,5,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [1,8,5,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [1,8,5,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,7,6,4,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [1,8,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [1,8,6,4,5,7,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [1,8,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [1,8,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [1,8,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [1,8,6,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [1,8,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [1,8,7,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [2,1,3,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,1,3,5,8,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,1,3,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,1,3,8,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [2,1,3,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,1,3,8,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,1,4,3,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,1,4,5,8,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [2,1,4,8,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [2,1,4,8,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [2,1,4,8,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,1,4,8,6,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,1,5,4,8,6,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,1,6,4,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,6,4,5,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,1,6,4,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,8,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [2,1,8,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [2,1,7,4,6,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [2,1,8,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,1,8,4,6,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,1,8,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,1,8,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,1,8,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [2,1,7,5,6,4,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [2,1,8,5,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,1,8,5,6,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,1,8,5,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [2,1,8,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [2,1,8,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [2,1,8,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [2,3,1,7,5,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>5 [2,3,1,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,3,1,8,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,3,4,1,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,4,5,8,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>6 [2,3,4,7,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>6 [2,3,4,7,5,6,8,1]=>[[1,3,4,5,6,8],[2],[7]]=>6 [2,3,4,8,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>6 [2,3,4,8,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [2,3,4,8,6,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [2,3,4,8,6,7,5,1]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [2,3,5,4,8,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>5 [2,3,6,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [2,3,6,4,5,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [2,3,6,4,5,7,8,1]=>[[1,3,4,5,7,8],[2],[6]]=>6 [2,3,6,4,5,8,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>5 [2,3,7,4,5,6,8,1]=>[[1,3,4,5,6,8],[2],[7]]=>6 [2,3,8,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>6 [2,3,7,4,6,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [2,3,8,4,6,7,5,1]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [2,3,7,5,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [2,3,7,5,4,6,8,1]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [2,3,8,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [2,3,7,5,6,4,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [2,3,7,5,6,4,8,1]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [2,3,8,5,6,4,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [2,3,8,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [2,3,8,5,7,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [2,3,8,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [2,4,3,5,8,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [2,4,3,7,5,6,8,1]=>[[1,3,5,6,8],[2,7],[4]]=>5 [2,4,3,8,5,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [2,4,3,8,5,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,4,3,8,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,5,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>6 [2,5,3,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [2,5,3,4,6,7,8,1]=>[[1,3,4,6,7,8],[2],[5]]=>6 [2,5,3,4,6,8,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>5 [2,5,3,4,7,6,8,1]=>[[1,3,4,6,8],[2,7],[5]]=>5 [2,5,3,4,8,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>5 [2,6,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6 [2,6,3,4,5,7,8,1]=>[[1,3,4,5,7,8],[2],[6]]=>6 [2,6,3,4,5,8,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>5 [2,7,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>6 [2,8,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>6 [2,8,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [2,6,3,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [2,6,3,5,4,8,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [2,7,3,5,4,6,8,1]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [2,8,3,5,4,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [2,7,3,5,6,4,8,1]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [2,8,3,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [2,8,3,5,7,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [2,7,3,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [2,8,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [2,8,3,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [2,5,4,3,8,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [2,6,4,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,6,4,3,5,8,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,7,4,3,5,6,8,1]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [2,8,4,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [2,8,4,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,7,4,3,6,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [2,8,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,8,4,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,8,4,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [2,6,4,5,3,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [2,8,4,5,3,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [2,7,4,5,6,3,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [2,7,4,5,6,3,8,1]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [2,8,4,5,6,3,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [2,8,4,5,6,7,3,1]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [2,7,4,6,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [2,7,4,6,5,3,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [2,8,4,6,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [2,8,4,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [2,7,5,4,3,6,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [2,8,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [2,8,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [2,7,5,4,6,3,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [2,8,5,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [2,8,5,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [2,7,6,4,5,3,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [2,8,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [2,8,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [2,8,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [2,8,7,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [3,2,1,4,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,1,5,8,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,2,1,7,5,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,2,1,8,5,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,2,1,8,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,2,1,8,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,2,1,8,6,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,2,4,1,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,4,5,8,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,2,4,7,5,6,8,1]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,2,4,8,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,2,4,8,6,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,2,5,4,8,6,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,2,6,4,5,1,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,2,7,4,5,6,1,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,2,8,4,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,2,7,4,6,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [3,2,7,4,6,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [3,2,8,4,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,2,7,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,2,8,5,4,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [3,2,8,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [3,2,7,5,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,2,7,5,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,2,8,5,6,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [3,2,8,5,7,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,2,8,6,5,7,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [3,2,8,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [4,2,3,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>5 [4,2,3,1,5,7,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>5 [4,2,3,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [4,2,3,1,6,7,8,5]=>[[1,3,5,7,8],[2,6],[4]]=>5 [4,2,3,1,6,8,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [4,2,3,1,7,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [4,2,3,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [4,2,3,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [4,2,3,5,1,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,2,3,5,6,1,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,2,3,5,6,8,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,2,3,5,8,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,2,3,6,5,8,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>4 [4,2,3,7,5,6,8,1]=>[[1,3,5,6,8],[2,7],[4]]=>5 [4,2,3,8,5,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,2,3,8,5,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,2,3,7,6,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [4,2,3,8,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [5,2,3,4,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [5,2,3,4,1,7,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>5 [5,2,3,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [5,2,3,4,6,1,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [5,2,3,4,7,6,1,8]=>[[1,3,4,6,8],[2,7],[5]]=>5 [5,2,3,4,8,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>5 [6,2,3,4,5,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [6,2,3,4,5,8,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>5 [8,2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [7,2,3,4,6,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [8,2,3,4,7,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [6,2,3,5,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [6,2,3,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [6,2,3,5,4,7,1,8]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [6,2,3,5,4,7,8,1]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [7,2,3,5,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [8,2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [8,2,3,5,4,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [7,2,3,5,6,4,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [8,2,3,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [8,2,3,5,7,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [7,2,3,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [8,2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [8,2,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [8,2,3,7,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [5,2,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [5,2,4,3,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,2,4,3,1,7,6,8]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [5,2,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [5,2,4,3,6,1,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,2,4,3,6,7,1,8]=>[[1,3,6,7,8],[2],[4],[5]]=>5 [5,2,4,3,7,6,1,8]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [5,2,4,3,7,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [5,2,4,3,8,7,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [6,2,4,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [7,2,4,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [7,2,4,3,6,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [8,2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [8,2,4,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [8,2,4,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [6,2,4,5,3,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [7,2,4,5,3,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [7,2,4,5,3,6,8,1]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [8,2,4,5,3,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,2,4,5,6,7,3,1]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [8,2,4,5,7,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [7,2,4,6,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [7,2,4,6,5,3,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [8,2,4,7,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [8,2,4,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [6,2,5,4,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [6,2,5,4,3,7,1,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [6,2,5,4,3,7,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [7,2,5,4,3,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [8,2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [8,2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [7,2,5,4,6,3,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [8,2,5,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [7,2,6,4,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [7,2,6,4,5,3,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [8,2,6,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [8,2,6,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [8,2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [8,2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [7,2,6,5,4,3,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [7,2,6,5,4,3,8,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [8,2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [8,2,6,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [8,2,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [8,2,7,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [8,2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>2 [4,3,2,1,8,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,3,2,7,5,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,3,2,8,5,6,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,3,2,8,5,7,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,3,2,8,6,7,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [5,3,2,4,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [5,3,2,4,1,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,2,4,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [5,3,2,4,7,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [8,3,2,4,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,3,2,4,6,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,3,2,4,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [6,3,2,5,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,3,2,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [6,3,2,5,4,7,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,3,2,5,4,7,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,3,2,5,4,8,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [7,3,2,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [8,3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [7,3,2,5,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [8,3,2,5,6,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [8,3,2,5,6,7,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [8,3,2,5,7,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [8,3,2,6,5,7,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [8,3,2,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [8,3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [5,3,4,2,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [5,3,4,2,1,7,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,4,2,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [5,3,4,2,6,1,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [5,3,4,2,7,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,4,2,7,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,4,2,8,6,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [6,3,4,2,5,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [7,3,4,2,6,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [7,3,4,2,6,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [8,3,4,2,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [6,3,4,5,2,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [6,3,4,5,2,8,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [8,3,4,5,2,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [8,3,4,5,7,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [8,3,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [6,3,5,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [6,3,5,4,2,7,1,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [6,3,5,4,2,7,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [6,3,5,4,2,8,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [7,3,5,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [8,3,5,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [8,3,5,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [7,3,5,4,6,2,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [7,3,5,4,6,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [8,3,5,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [8,3,5,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [7,3,6,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [7,3,6,4,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [8,3,6,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [8,3,7,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [8,3,7,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [7,3,6,5,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [7,3,6,5,4,2,8,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [8,3,6,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [8,3,7,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [8,3,7,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [8,3,7,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>2 [5,4,3,2,8,6,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [6,4,3,2,5,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [6,4,3,2,5,8,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [8,4,3,2,5,7,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [7,4,3,2,6,5,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [7,4,3,2,6,5,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [8,4,3,2,6,5,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [8,4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [6,4,3,5,2,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [8,4,3,5,2,7,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [8,4,3,5,7,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [7,4,3,6,5,2,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [7,4,3,6,5,2,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [8,4,3,7,5,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [8,4,3,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [6,5,3,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [8,5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [8,5,3,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [8,7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [7,6,3,5,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [7,6,3,5,4,2,8,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [8,6,3,5,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [8,6,3,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [8,7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [8,7,3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [8,7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>2 [8,5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [8,5,4,3,7,6,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [8,7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [8,7,4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>2 [2,4,1,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,1,4,6,3,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,4,1,6,3,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,4,6,1,3,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,1,4,3,6,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,4,1,3,6,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,1,4,6,3,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,4,1,6,3,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,4,6,1,3,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,1,4,6,8,3,5,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,4,1,6,8,3,5,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,4,6,1,8,3,5,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,4,6,8,1,3,5,7]=>[[1,3,5,7],[2,4,6,8]]=>4 [2,4,1,3,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,1,4,6,3,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,1,6,3,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,6,1,3,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,1,4,6,3,7,5,8]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,1,6,3,7,5,8]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,6,1,3,7,5,8]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,6,7,1,3,5,8]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,1,3,6,7,8,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,1,4,6,3,7,8,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,1,6,3,7,8,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,1,4,6,7,3,8,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,1,6,7,3,8,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,6,1,7,3,8,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,6,7,1,3,8,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,1,4,6,7,8,3,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,1,6,7,8,3,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,4,6,7,8,1,3,5]=>[[1,3,5,7,8],[2,4,6]]=>5 [2,1,4,3,7,5,8,6]=>[[1,3,5,6],[2,4,7,8]]=>5 [2,4,1,3,7,5,8,6]=>[[1,3,5,6],[2,4,7,8]]=>5 [2,1,4,7,3,5,8,6]=>[[1,3,5,6],[2,4,7,8]]=>5 [2,4,1,7,3,5,8,6]=>[[1,3,5,6],[2,4,7,8]]=>5 [2,1,4,3,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>5 [2,4,1,3,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>5 [2,4,1,7,3,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>5 [2,1,4,7,8,3,5,6]=>[[1,3,5,6],[2,4,7,8]]=>5 [2,4,1,7,8,3,5,6]=>[[1,3,5,6],[2,4,7,8]]=>5 [2,4,7,1,8,3,5,6]=>[[1,3,5,6],[2,4,7,8]]=>5 [2,4,1,5,3,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,4,5,1,3,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,4,5,1,7,3,6,8]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,4,1,3,5,7,8,6]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,4,1,5,3,7,8,6]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,4,5,1,3,7,8,6]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,1,4,5,7,3,8,6]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,4,1,5,7,3,8,6]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,4,5,1,7,3,8,6]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,4,5,1,7,8,3,6]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,4,5,7,8,1,3,6]=>[[1,3,5,6,8],[2,4,7]]=>5 [2,1,4,3,8,5,6,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,1,3,8,5,6,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,1,4,8,3,5,6,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,1,8,3,5,6,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,8,1,3,5,6,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,1,4,3,5,8,6,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,1,5,3,8,6,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,1,4,5,8,3,6,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,1,5,8,3,6,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,5,1,8,3,6,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,1,5,3,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,1,5,6,3,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,5,1,6,3,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,5,6,1,3,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,1,4,5,6,8,3,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,1,5,6,8,3,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,5,1,6,8,3,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,5,6,1,8,3,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,5,6,8,1,3,7]=>[[1,3,5,6,7],[2,4,8]]=>5 [2,4,1,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,1,5,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,5,1,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,1,5,6,3,7,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,5,1,6,3,7,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,5,6,1,3,7,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,1,5,6,7,3,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,5,6,1,7,3,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,5,6,7,1,3,8]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,1,5,6,7,8,3]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,5,1,6,7,8,3]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,5,6,1,7,8,3]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,5,6,7,1,8,3]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,4,5,6,7,8,1,3]=>[[1,3,5,6,7,8],[2,4]]=>6 [2,1,5,3,6,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,5,1,3,6,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,1,5,6,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,5,1,6,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,5,6,1,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,1,5,3,6,8,4,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,5,1,3,6,8,4,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,5,6,1,3,8,4,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,1,5,6,8,3,4,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,5,1,6,8,3,4,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,5,6,8,1,3,4,7]=>[[1,3,4,7],[2,5,6,8]]=>5 [2,5,1,3,6,4,7,8]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,1,5,3,6,7,4,8]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,1,5,6,3,7,4,8]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,1,6,3,7,4,8]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,6,1,3,7,4,8]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,1,5,6,7,3,4,8]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,1,6,7,3,4,8]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,1,5,3,6,7,8,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,1,3,6,7,8,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,1,5,6,3,7,8,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,1,6,3,7,8,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,6,1,3,7,8,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,1,5,6,7,3,8,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,1,6,7,3,8,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,6,7,1,3,8,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,1,5,6,7,8,3,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,1,6,7,8,3,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,6,1,7,8,3,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,6,7,1,8,3,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,5,6,7,8,1,3,4]=>[[1,3,4,7,8],[2,5,6]]=>6 [2,1,5,3,7,4,8,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,5,1,3,7,4,8,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,1,5,7,3,4,8,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,5,1,7,3,4,8,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,5,7,1,3,4,8,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,1,5,3,7,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,5,1,3,7,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,1,5,7,3,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,1,5,7,8,3,4,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,5,1,7,8,3,4,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,5,7,1,8,3,4,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,5,7,8,1,3,4,6]=>[[1,3,4,6],[2,5,7,8]]=>5 [2,1,5,7,3,4,6,8]=>[[1,3,4,6,8],[2,5,7]]=>5 [2,3,5,1,4,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>5 [2,3,5,7,1,4,6,8]=>[[1,3,4,6,8],[2,5,7]]=>5 [2,3,5,1,7,4,8,6]=>[[1,3,4,6,8],[2,5,7]]=>5 [2,3,1,5,7,8,4,6]=>[[1,3,4,6,8],[2,5,7]]=>5 [2,3,5,7,8,1,4,6]=>[[1,3,4,6,8],[2,5,7]]=>5 [2,1,5,3,8,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,5,1,3,8,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,1,5,8,3,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,5,1,8,3,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,3,5,1,4,8,6,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,1,3,5,8,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,3,5,1,8,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,3,5,8,1,4,6,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,1,5,3,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,3,5,1,6,4,8,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,1,3,5,6,8,4,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,3,1,5,6,8,4,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,3,5,1,6,8,4,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,3,5,6,1,8,4,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,3,5,6,8,1,4,7]=>[[1,3,4,6,7],[2,5,8]]=>5 [2,1,5,3,4,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>6 [2,5,1,3,4,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>6 [2,3,5,1,4,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>6 [2,3,5,6,1,4,7,8]=>[[1,3,4,6,7,8],[2,5]]=>6 [2,3,5,6,7,1,4,8]=>[[1,3,4,6,7,8],[2,5]]=>6 [2,3,5,1,6,7,8,4]=>[[1,3,4,6,7,8],[2,5]]=>6 [2,3,5,6,1,7,8,4]=>[[1,3,4,6,7,8],[2,5]]=>6 [2,3,5,6,7,8,1,4]=>[[1,3,4,6,7,8],[2,5]]=>6 [2,1,6,3,7,4,8,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,6,1,3,7,4,8,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,1,6,7,3,4,8,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,6,1,7,3,4,8,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,6,7,1,3,4,8,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,1,6,3,7,8,4,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,6,1,3,7,8,4,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,6,1,7,3,8,4,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,6,7,1,3,8,4,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,1,6,7,8,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,6,1,7,8,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,6,7,1,8,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,6,7,8,1,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>6 [2,6,1,7,3,4,5,8]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,6,1,3,4,7,5,8]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,3,1,6,4,7,5,8]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,1,6,3,4,7,8,5]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,6,1,3,4,7,8,5]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,3,6,1,4,7,8,5]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,1,3,6,7,4,8,5]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,1,3,6,7,8,4,5]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,3,1,6,7,8,4,5]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,3,6,1,7,8,4,5]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,3,6,7,1,8,4,5]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,3,6,7,8,1,4,5]=>[[1,3,4,5,8],[2,6,7]]=>6 [2,1,6,3,8,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,6,1,3,8,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,1,6,8,3,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,6,1,8,3,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,6,8,1,3,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,1,6,3,4,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,6,1,3,4,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,3,1,6,4,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,3,6,1,4,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,3,1,6,8,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,3,6,1,8,4,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,1,6,3,4,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,6,1,3,4,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,1,3,6,4,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,3,6,1,4,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,3,4,1,6,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,3,4,6,1,8,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,3,4,6,8,1,5,7]=>[[1,3,4,5,7],[2,6,8]]=>5 [2,6,1,3,4,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>6 [2,1,3,6,4,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>6 [2,3,1,6,4,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>6 [2,3,6,1,4,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>6 [2,3,4,6,1,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>6 [2,3,4,6,7,1,5,8]=>[[1,3,4,5,7,8],[2,6]]=>6 [2,3,4,6,1,7,8,5]=>[[1,3,4,5,7,8],[2,6]]=>6 [2,3,4,6,7,8,1,5]=>[[1,3,4,5,7,8],[2,6]]=>6 [2,1,7,3,8,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,7,1,3,8,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,1,7,8,3,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,7,1,8,3,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,7,8,1,3,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,1,7,3,4,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,1,3,7,4,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,1,7,4,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,1,3,7,8,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,1,7,8,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,7,8,1,4,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,1,7,3,4,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,7,1,3,4,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,1,7,4,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,7,1,4,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,1,3,4,7,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,4,1,7,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,4,7,1,5,8,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,1,3,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,1,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,4,1,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,4,7,1,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,3,4,7,8,1,5,6]=>[[1,3,4,5,6],[2,7,8]]=>6 [2,1,7,3,4,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [2,7,1,3,4,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [2,3,7,1,4,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [2,1,3,4,7,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [2,3,1,4,7,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [2,3,4,1,7,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [2,3,4,7,1,5,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [2,3,4,5,7,1,6,8]=>[[1,3,4,5,6,8],[2,7]]=>6 [2,3,4,5,7,1,8,6]=>[[1,3,4,5,6,8],[2,7]]=>6 [2,3,4,5,7,8,1,6]=>[[1,3,4,5,6,8],[2,7]]=>6 [2,1,8,3,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,8,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,1,3,8,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,3,1,8,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,3,8,1,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,1,3,4,8,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,3,1,4,8,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,3,4,1,8,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,3,4,8,1,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,1,3,4,5,8,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,3,1,4,5,8,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,3,4,1,5,8,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,3,4,5,1,8,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,3,4,5,8,1,6,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [2,3,4,5,6,8,1,7]=>[[1,3,4,5,6,7],[2,8]]=>6 [3,1,4,2,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,4,1,2,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,1,4,6,2,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,4,1,6,2,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,4,6,1,2,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,1,4,2,6,8,5,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,4,1,2,6,8,5,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,1,4,6,2,8,5,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,4,1,6,2,8,5,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,1,4,6,8,2,5,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,4,1,6,8,2,5,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,4,6,8,1,2,5,7]=>[[1,2,5,7],[3,4,6,8]]=>5 [3,4,1,2,6,5,7,8]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,1,4,2,6,7,5,8]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,1,2,6,7,5,8]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,1,6,2,7,5,8]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,6,1,2,7,5,8]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,1,6,7,2,5,8]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,6,7,1,2,5,8]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,1,4,2,6,7,8,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,1,2,6,7,8,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,1,4,6,2,7,8,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,1,6,2,7,8,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,6,1,2,7,8,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,1,4,6,7,2,8,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,1,6,7,2,8,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,6,1,7,2,8,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,6,7,1,2,8,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,1,4,6,7,8,2,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,1,6,7,8,2,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,6,1,7,8,2,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,6,7,1,8,2,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,4,6,7,8,1,2,5]=>[[1,2,5,7,8],[3,4,6]]=>6 [3,1,4,2,7,5,8,6]=>[[1,2,5,6],[3,4,7,8]]=>6 [3,4,1,2,7,5,8,6]=>[[1,2,5,6],[3,4,7,8]]=>6 [3,1,4,7,2,5,8,6]=>[[1,2,5,6],[3,4,7,8]]=>6 [3,4,7,1,2,5,8,6]=>[[1,2,5,6],[3,4,7,8]]=>6 [3,1,4,2,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>6 [3,4,1,2,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>6 [3,4,7,1,8,2,5,6]=>[[1,2,5,6],[3,4,7,8]]=>6 [3,4,7,8,1,2,5,6]=>[[1,2,5,6],[3,4,7,8]]=>6 [3,1,4,2,7,5,6,8]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,1,2,7,5,6,8]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,1,2,5,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,1,4,5,2,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,1,5,2,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,1,5,7,2,6,8]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,5,7,1,2,6,8]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,1,4,2,5,7,8,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,1,2,5,7,8,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,1,4,5,2,7,8,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,5,1,2,7,8,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,1,4,5,7,2,8,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,1,5,7,2,8,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,5,7,1,2,8,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,1,4,5,7,8,2,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,1,5,7,8,2,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,5,1,7,8,2,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,4,5,7,8,1,2,6]=>[[1,2,5,6,8],[3,4,7]]=>6 [3,1,4,2,8,5,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,1,2,8,5,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,1,4,8,2,5,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,1,8,2,5,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,8,1,2,5,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,1,4,2,5,8,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,1,2,5,8,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,1,5,2,8,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,5,1,2,8,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,1,4,5,8,2,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,1,5,8,2,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,5,8,1,2,6,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,1,2,5,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,5,1,2,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,1,4,5,6,2,8,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,1,5,6,2,8,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,5,1,6,2,8,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,5,6,1,2,8,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,1,4,5,6,8,2,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,1,5,6,8,2,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,5,6,1,8,2,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,4,5,6,8,1,2,7]=>[[1,2,5,6,7],[3,4,8]]=>6 [3,1,4,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,1,4,5,2,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,4,1,5,2,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,4,1,5,6,2,7,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,4,5,1,6,2,7,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,1,4,5,6,7,2,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,4,1,5,6,7,2,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,4,5,1,6,7,2,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,4,5,6,1,7,2,8]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,1,4,5,6,7,8,2]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,4,1,5,6,7,8,2]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,4,5,1,6,7,8,2]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,4,5,6,1,7,8,2]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,4,5,6,7,1,8,2]=>[[1,2,5,6,7,8],[3,4]]=>7 [3,1,5,2,6,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,5,1,2,6,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,1,5,6,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,5,1,6,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,5,6,1,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,1,5,2,6,8,4,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,5,1,2,6,8,4,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,1,5,6,2,8,4,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,5,6,1,2,8,4,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,1,5,6,8,2,4,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,5,1,6,8,2,4,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,5,6,1,8,2,4,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,5,6,8,1,2,4,7]=>[[1,2,4,7],[3,5,6,8]]=>5 [3,1,5,6,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,1,6,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,6,1,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,1,2,6,7,4,8]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,1,6,2,7,4,8]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,6,1,2,7,4,8]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,1,6,7,2,4,8]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,6,1,7,2,4,8]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,6,7,1,2,4,8]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,1,5,2,6,7,8,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,1,2,6,7,8,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,1,5,6,2,7,8,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,1,6,2,7,8,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,6,1,2,7,8,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,1,5,6,7,2,8,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,1,6,7,2,8,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,6,1,7,2,8,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,6,7,1,2,8,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,1,5,6,7,8,2,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,1,6,7,8,2,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,6,1,7,8,2,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,6,7,1,8,2,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,5,6,7,8,1,2,4]=>[[1,2,4,7,8],[3,5,6]]=>6 [3,1,5,2,7,4,8,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,5,1,2,7,4,8,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,1,5,7,2,4,8,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,5,7,1,2,4,8,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,1,5,2,7,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,5,1,2,7,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,1,5,7,2,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,5,1,7,2,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,1,5,7,8,2,4,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,5,1,7,8,2,4,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,5,7,8,1,2,4,6]=>[[1,2,4,6],[3,5,7,8]]=>5 [3,1,5,2,7,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,5,1,2,7,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,1,5,7,2,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,5,1,7,2,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,5,7,1,2,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,1,5,2,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,5,1,2,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,1,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,3,5,2,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,1,2,5,7,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,3,2,5,7,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,3,5,2,7,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,3,5,7,2,4,6,8]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,5,1,2,4,7,8,6]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,1,2,5,7,4,8,6]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,3,5,2,7,4,8,6]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,3,5,7,2,4,8,6]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,3,2,5,7,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,3,5,2,7,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,3,5,7,2,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>5 [1,3,5,7,8,2,4,6]=>[[1,2,4,6,8],[3,5,7]]=>5 [3,1,5,2,8,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [3,5,1,2,8,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [3,1,5,8,2,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [3,5,1,8,2,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [3,1,5,2,4,8,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [3,5,1,2,4,8,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [1,3,2,5,4,8,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [1,3,5,2,4,8,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [3,1,2,5,8,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [1,3,2,5,8,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [1,3,5,2,8,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [1,3,5,8,2,4,6,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [3,5,1,2,4,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [3,1,2,5,4,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [1,3,5,2,4,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [1,3,5,6,2,4,8,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [3,1,2,5,6,8,4,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [1,3,5,2,6,8,4,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [1,3,5,6,2,8,4,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [1,3,5,6,8,2,4,7]=>[[1,2,4,6,7],[3,5,8]]=>5 [3,5,1,2,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>6 [1,3,5,2,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>6 [1,3,5,6,2,4,7,8]=>[[1,2,4,6,7,8],[3,5]]=>6 [3,1,2,5,6,7,4,8]=>[[1,2,4,6,7,8],[3,5]]=>6 [1,3,5,2,6,7,4,8]=>[[1,2,4,6,7,8],[3,5]]=>6 [1,3,5,6,2,7,4,8]=>[[1,2,4,6,7,8],[3,5]]=>6 [1,3,5,6,7,2,4,8]=>[[1,2,4,6,7,8],[3,5]]=>6 [3,1,2,5,6,7,8,4]=>[[1,2,4,6,7,8],[3,5]]=>6 [1,3,5,6,7,2,8,4]=>[[1,2,4,6,7,8],[3,5]]=>6 [1,3,5,6,7,8,2,4]=>[[1,2,4,6,7,8],[3,5]]=>6 [3,1,6,2,7,4,8,5]=>[[1,2,4,5],[3,6,7,8]]=>6 [3,6,1,2,7,4,8,5]=>[[1,2,4,5],[3,6,7,8]]=>6 [3,6,1,7,2,4,8,5]=>[[1,2,4,5],[3,6,7,8]]=>6 [3,6,7,1,2,4,8,5]=>[[1,2,4,5],[3,6,7,8]]=>6 [3,6,1,2,7,8,4,5]=>[[1,2,4,5],[3,6,7,8]]=>6 [3,1,6,7,2,8,4,5]=>[[1,2,4,5],[3,6,7,8]]=>6 [3,6,1,7,2,8,4,5]=>[[1,2,4,5],[3,6,7,8]]=>6 [3,6,7,1,2,8,4,5]=>[[1,2,4,5],[3,6,7,8]]=>6 [3,6,1,7,8,2,4,5]=>[[1,2,4,5],[3,6,7,8]]=>6 [3,6,7,8,1,2,4,5]=>[[1,2,4,5],[3,6,7,8]]=>6 [3,1,6,7,2,4,5,8]=>[[1,2,4,5,8],[3,6,7]]=>6 [3,6,1,2,4,7,5,8]=>[[1,2,4,5,8],[3,6,7]]=>6 [3,1,2,6,4,7,5,8]=>[[1,2,4,5,8],[3,6,7]]=>6 [1,3,2,6,4,7,5,8]=>[[1,2,4,5,8],[3,6,7]]=>6 [1,3,2,6,7,4,5,8]=>[[1,2,4,5,8],[3,6,7]]=>6 [1,3,6,2,7,4,5,8]=>[[1,2,4,5,8],[3,6,7]]=>6 [3,1,6,2,4,7,8,5]=>[[1,2,4,5,8],[3,6,7]]=>6 [3,6,1,2,4,7,8,5]=>[[1,2,4,5,8],[3,6,7]]=>6 [3,1,2,6,4,7,8,5]=>[[1,2,4,5,8],[3,6,7]]=>6 [3,1,2,6,7,4,8,5]=>[[1,2,4,5,8],[3,6,7]]=>6 [1,3,2,6,7,4,8,5]=>[[1,2,4,5,8],[3,6,7]]=>6 [1,3,6,2,7,4,8,5]=>[[1,2,4,5,8],[3,6,7]]=>6 [3,1,2,6,7,8,4,5]=>[[1,2,4,5,8],[3,6,7]]=>6 [1,3,2,6,7,8,4,5]=>[[1,2,4,5,8],[3,6,7]]=>6 [1,3,6,2,7,8,4,5]=>[[1,2,4,5,8],[3,6,7]]=>6 [1,3,6,7,8,2,4,5]=>[[1,2,4,5,8],[3,6,7]]=>6 [3,6,1,2,8,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,1,6,8,2,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,6,1,8,2,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,6,8,1,2,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,1,6,2,4,8,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,6,1,2,4,8,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [1,3,2,6,4,8,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [1,3,6,2,4,8,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,1,2,6,8,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [1,3,2,6,8,4,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,1,6,2,4,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,6,1,2,4,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,1,2,6,4,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [1,3,6,2,4,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,1,2,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [1,3,4,6,2,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [1,3,2,4,6,8,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [1,3,4,6,8,2,5,7]=>[[1,2,4,5,7],[3,6,8]]=>5 [3,6,1,2,4,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6 [1,3,2,6,4,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6 [1,3,6,2,4,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6 [1,3,4,6,2,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6 [3,1,2,4,6,7,5,8]=>[[1,2,4,5,7,8],[3,6]]=>6 [1,3,4,6,2,7,5,8]=>[[1,2,4,5,7,8],[3,6]]=>6 [1,3,4,6,7,2,5,8]=>[[1,2,4,5,7,8],[3,6]]=>6 [3,1,2,4,6,7,8,5]=>[[1,2,4,5,7,8],[3,6]]=>6 [1,3,4,6,7,2,8,5]=>[[1,2,4,5,7,8],[3,6]]=>6 [3,1,7,2,8,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,7,1,2,8,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,1,7,8,2,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,7,1,8,2,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,7,8,1,2,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,7,1,2,4,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,1,2,7,4,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [1,3,2,7,4,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [1,3,7,2,4,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,1,2,7,8,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [1,3,7,2,8,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [1,3,7,8,2,4,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,1,7,2,4,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,7,1,2,4,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [1,3,7,2,4,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,1,2,4,7,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [1,3,2,4,7,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [1,3,4,2,7,5,8,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,1,2,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [1,3,2,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [1,3,4,2,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [1,3,4,7,8,2,5,6]=>[[1,2,4,5,6],[3,7,8]]=>6 [3,1,7,2,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [3,7,1,2,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [3,1,2,7,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [1,3,2,7,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [1,3,7,2,4,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [3,1,2,4,7,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [1,3,4,7,2,5,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [3,1,2,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [1,3,4,5,7,2,6,8]=>[[1,2,4,5,6,8],[3,7]]=>6 [3,1,2,4,5,7,8,6]=>[[1,2,4,5,6,8],[3,7]]=>6 [1,3,4,5,7,8,2,6]=>[[1,2,4,5,6,8],[3,7]]=>6 [3,1,8,2,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [3,8,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [3,1,2,8,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [1,3,2,8,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [1,3,8,2,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [3,1,2,4,8,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [1,3,2,4,8,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [1,3,4,2,8,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [1,3,4,8,2,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [3,1,2,4,5,8,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [1,3,2,4,5,8,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [1,3,4,2,5,8,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [1,3,4,5,2,8,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [1,3,4,5,8,2,6,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [3,1,2,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [1,3,4,5,6,8,2,7]=>[[1,2,4,5,6,7],[3,8]]=>6 [4,1,5,2,6,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,5,1,2,6,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,1,5,6,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,5,1,6,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,5,6,1,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,1,5,2,6,8,3,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,5,1,2,6,8,3,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,1,5,6,2,8,3,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,5,6,1,2,8,3,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,1,5,6,8,2,3,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,5,1,6,8,2,3,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,5,6,1,8,2,3,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,5,6,8,1,2,3,7]=>[[1,2,3,7],[4,5,6,8]]=>6 [4,1,5,2,6,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,1,5,6,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,1,6,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,1,2,6,7,3,8]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,1,6,2,7,3,8]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,6,1,2,7,3,8]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,6,1,7,2,3,8]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,1,5,2,6,7,8,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,1,2,6,7,8,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,1,6,2,7,8,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,6,1,2,7,8,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,1,5,6,7,2,8,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,1,6,7,2,8,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,6,1,7,2,8,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,6,7,1,2,8,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,1,5,6,7,8,2,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,1,6,7,8,2,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,6,1,7,8,2,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,5,6,7,1,8,2,3]=>[[1,2,3,7,8],[4,5,6]]=>7 [4,1,5,2,7,3,8,6]=>[[1,2,3,6],[4,5,7,8]]=>6 [4,5,1,7,2,3,8,6]=>[[1,2,3,6],[4,5,7,8]]=>6 [4,1,5,2,7,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>6 [4,5,1,2,7,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>6 [4,1,5,7,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>6 [4,5,1,7,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>6 [4,5,7,1,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>6 [4,5,1,7,8,2,3,6]=>[[1,2,3,6],[4,5,7,8]]=>6 [4,5,7,8,1,2,3,6]=>[[1,2,3,6],[4,5,7,8]]=>6 [4,1,5,2,7,3,6,8]=>[[1,2,3,6,8],[4,5,7]]=>6 [4,5,1,2,7,3,6,8]=>[[1,2,3,6,8],[4,5,7]]=>6 [4,1,5,2,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>6 [4,5,1,2,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>6 [4,1,2,5,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,2,5,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,5,2,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>6 [4,1,2,5,7,3,6,8]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,5,2,7,3,6,8]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,5,7,2,3,6,8]=>[[1,2,3,6,8],[4,5,7]]=>6 [4,1,5,2,3,7,8,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [4,1,2,5,3,7,8,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,5,2,3,7,8,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [4,1,2,5,7,3,8,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,2,5,7,3,8,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,5,2,7,3,8,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,5,7,2,3,8,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [4,1,2,5,7,8,3,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,2,5,7,8,3,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,5,2,7,8,3,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [1,4,5,7,8,2,3,6]=>[[1,2,3,6,8],[4,5,7]]=>6 [4,1,5,2,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [4,5,1,2,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [4,5,1,8,2,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [4,5,8,1,2,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [4,1,5,2,3,8,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [4,5,1,2,3,8,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [4,1,2,5,3,8,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [1,4,2,5,3,8,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [1,4,5,2,3,8,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [4,1,2,5,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [1,4,2,5,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [1,4,5,2,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [1,4,2,5,3,6,8,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [4,1,2,5,6,3,8,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [1,4,5,2,6,3,8,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [4,1,2,5,6,8,3,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [1,4,2,5,6,8,3,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [1,4,5,2,6,8,3,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [1,4,5,6,8,2,3,7]=>[[1,2,3,6,7],[4,5,8]]=>6 [4,1,5,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [4,1,2,5,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,2,5,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,5,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [4,1,2,5,6,3,7,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,5,2,6,3,7,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,5,6,2,3,7,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [4,1,2,5,6,7,3,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,2,5,6,7,3,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,5,2,6,7,3,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,5,6,2,7,3,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,5,6,7,2,3,8]=>[[1,2,3,6,7,8],[4,5]]=>7 [4,1,2,5,6,7,8,3]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,2,5,6,7,8,3]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,5,2,6,7,8,3]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,5,6,2,7,8,3]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,5,6,7,2,8,3]=>[[1,2,3,6,7,8],[4,5]]=>7 [1,4,5,6,7,8,2,3]=>[[1,2,3,6,7,8],[4,5]]=>7 [4,1,6,2,7,3,8,5]=>[[1,2,3,5],[4,6,7,8]]=>6 [4,1,6,7,2,3,8,5]=>[[1,2,3,5],[4,6,7,8]]=>6 [4,6,7,1,2,3,8,5]=>[[1,2,3,5],[4,6,7,8]]=>6 [4,6,1,2,7,8,3,5]=>[[1,2,3,5],[4,6,7,8]]=>6 [4,6,1,7,2,8,3,5]=>[[1,2,3,5],[4,6,7,8]]=>6 [4,6,7,1,2,8,3,5]=>[[1,2,3,5],[4,6,7,8]]=>6 [4,1,6,7,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>6 [4,6,1,7,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>6 [4,6,7,1,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>6 [4,6,7,8,1,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>6 [4,1,6,2,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [4,1,6,7,2,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [4,6,1,7,2,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [4,6,7,1,2,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [4,1,6,2,3,7,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [4,1,2,6,3,7,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [1,4,2,6,3,7,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [4,1,2,6,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [1,4,2,6,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [1,4,6,2,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [1,4,6,7,2,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>6 [4,1,6,2,3,7,8,5]=>[[1,2,3,5,8],[4,6,7]]=>6 [4,1,2,6,3,7,8,5]=>[[1,2,3,5,8],[4,6,7]]=>6 [1,4,6,2,3,7,8,5]=>[[1,2,3,5,8],[4,6,7]]=>6 [4,1,2,6,7,3,8,5]=>[[1,2,3,5,8],[4,6,7]]=>6 [1,4,6,2,7,3,8,5]=>[[1,2,3,5,8],[4,6,7]]=>6 [1,4,2,6,7,8,3,5]=>[[1,2,3,5,8],[4,6,7]]=>6 [1,4,6,2,7,8,3,5]=>[[1,2,3,5,8],[4,6,7]]=>6 [1,4,6,7,2,8,3,5]=>[[1,2,3,5,8],[4,6,7]]=>6 [1,4,6,7,8,2,3,5]=>[[1,2,3,5,8],[4,6,7]]=>6 [4,1,6,2,8,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,6,1,2,8,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,1,6,8,2,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,6,1,8,2,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,6,8,1,2,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,1,6,2,3,8,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,1,2,6,3,8,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [1,4,2,6,3,8,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [1,4,6,2,3,8,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [1,4,2,6,8,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [1,4,6,2,8,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [1,4,6,8,2,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,1,6,2,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,6,1,2,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,1,2,6,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [1,4,2,6,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [1,4,6,2,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,1,2,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [1,4,2,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [1,2,4,6,3,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,1,2,3,6,8,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [1,2,4,6,8,3,5,7]=>[[1,2,3,5,7],[4,6,8]]=>5 [4,1,6,2,3,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [4,6,1,2,3,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [1,4,2,6,3,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [1,4,6,2,3,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [4,1,2,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [1,4,2,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [1,2,4,6,3,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [4,1,2,3,6,7,5,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [1,4,2,3,6,7,5,8]=>[[1,2,3,5,7,8],[4,6]]=>6 [4,1,2,3,6,7,8,5]=>[[1,2,3,5,7,8],[4,6]]=>6 [1,4,2,3,6,7,8,5]=>[[1,2,3,5,7,8],[4,6]]=>6 [4,1,7,2,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,7,1,2,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,1,7,8,2,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,7,1,8,2,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,7,8,1,2,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,1,7,2,3,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,7,1,2,3,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,4,2,7,3,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,4,7,2,3,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,1,2,7,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,4,2,7,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,4,7,2,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,4,7,8,2,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,1,7,2,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,7,1,2,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,1,2,7,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,4,2,7,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,4,7,2,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,1,2,3,7,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,4,2,3,7,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,2,4,3,7,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,2,4,7,3,5,8,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,1,2,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,4,2,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,2,4,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,2,4,7,3,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [1,2,4,7,8,3,5,6]=>[[1,2,3,5,6],[4,7,8]]=>6 [4,1,7,2,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [4,7,1,2,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [4,1,2,7,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,4,2,7,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,4,7,2,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [4,1,2,3,7,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,4,2,3,7,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,2,4,3,7,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,2,4,7,3,5,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [4,1,2,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,4,2,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,2,4,5,7,3,6,8]=>[[1,2,3,5,6,8],[4,7]]=>6 [4,1,2,3,5,7,8,6]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,4,2,3,5,7,8,6]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,2,4,5,7,3,8,6]=>[[1,2,3,5,6,8],[4,7]]=>6 [1,2,4,5,7,8,3,6]=>[[1,2,3,5,6,8],[4,7]]=>6 [4,1,8,2,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [4,8,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [4,1,2,8,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,4,2,8,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,4,8,2,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [4,1,2,3,8,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,4,2,3,8,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,2,4,3,8,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,2,4,8,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [4,1,2,3,5,8,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,4,2,3,5,8,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,2,4,3,5,8,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,2,4,5,3,8,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,2,4,5,8,3,6,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [4,1,2,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,4,2,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,2,4,5,6,8,3,7]=>[[1,2,3,5,6,7],[4,8]]=>6 [1,4,2,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>7 [5,1,6,2,7,3,8,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,6,1,2,7,3,8,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,1,6,7,2,3,8,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,6,1,7,2,3,8,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,6,7,1,2,3,8,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,6,1,2,7,8,3,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,1,6,7,2,8,3,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,6,7,1,2,8,3,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,1,6,7,8,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,6,1,7,8,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,6,7,1,8,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>7 [5,1,6,2,7,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>7 [5,6,1,7,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>7 [5,1,6,2,3,7,4,8]=>[[1,2,3,4,8],[5,6,7]]=>7 [5,1,2,6,3,7,4,8]=>[[1,2,3,4,8],[5,6,7]]=>7 [1,5,2,6,3,7,4,8]=>[[1,2,3,4,8],[5,6,7]]=>7 [5,1,2,6,7,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>7 [1,5,2,6,7,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>7 [1,5,6,7,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>7 [5,1,6,2,3,7,8,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [5,6,1,2,3,7,8,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [5,1,2,6,3,7,8,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [1,5,2,6,3,7,8,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [1,5,6,2,3,7,8,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [5,1,2,6,7,3,8,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [1,5,6,7,2,3,8,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [5,1,2,6,7,8,3,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [1,5,2,6,7,8,3,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [1,5,6,2,7,8,3,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [1,5,6,7,2,8,3,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [1,5,6,7,8,2,3,4]=>[[1,2,3,4,8],[5,6,7]]=>7 [5,1,6,2,8,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,6,1,2,8,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,6,1,8,2,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,6,8,1,2,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,1,6,2,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,6,1,2,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,1,2,6,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,5,2,6,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,5,6,2,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,1,2,6,8,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,5,2,6,8,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,5,6,2,8,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,5,6,8,2,3,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,1,6,2,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,6,1,2,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,1,2,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,5,2,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,5,6,2,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,5,2,3,6,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,2,5,3,6,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,2,5,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,1,2,3,6,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,5,2,3,6,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [1,2,5,6,3,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>6 [5,1,6,2,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [5,1,2,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,5,2,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,5,6,2,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [5,1,2,3,6,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,5,2,3,6,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,2,5,3,6,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,2,5,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [5,1,2,3,6,7,4,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,5,2,3,6,7,4,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,2,5,6,3,7,4,8]=>[[1,2,3,4,7,8],[5,6]]=>7 [5,1,2,3,6,7,8,4]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,5,2,3,6,7,8,4]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,2,5,3,6,7,8,4]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,2,5,6,3,7,8,4]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,2,5,6,7,3,8,4]=>[[1,2,3,4,7,8],[5,6]]=>7 [1,2,5,6,7,8,3,4]=>[[1,2,3,4,7,8],[5,6]]=>7 [5,1,7,2,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,7,1,2,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,1,7,8,2,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,7,1,8,2,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,7,8,1,2,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,1,7,2,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,7,1,2,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,1,2,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,5,2,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,5,7,2,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,1,2,7,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,5,2,7,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,5,7,2,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,5,7,8,2,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,1,7,2,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,7,1,2,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,1,2,7,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,5,2,7,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,5,7,2,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,1,2,3,7,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,5,2,3,7,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,2,5,3,7,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,2,5,7,3,4,8,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,1,2,3,7,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,5,2,3,7,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,2,5,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [1,2,5,7,8,3,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6 [5,1,7,2,3,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [5,7,1,2,3,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [5,1,2,7,3,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,5,2,7,3,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,5,2,3,7,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,2,5,3,7,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,2,5,7,3,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,5,2,3,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,2,5,3,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,2,3,5,7,4,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6 [5,1,2,3,4,7,8,6]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,5,2,3,4,7,8,6]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,2,5,3,4,7,8,6]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,2,3,5,7,4,8,6]=>[[1,2,3,4,6,8],[5,7]]=>6 [1,2,3,5,7,8,4,6]=>[[1,2,3,4,6,8],[5,7]]=>6 [5,1,8,2,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [5,8,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [5,1,2,8,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,5,2,8,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,5,8,2,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [5,1,2,3,8,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,5,2,3,8,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,2,5,3,8,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,2,5,8,3,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [5,1,2,3,4,8,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,5,2,3,4,8,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,2,5,3,4,8,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,2,3,5,4,8,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,2,3,5,8,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [5,1,2,3,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,5,2,3,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,2,5,3,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,2,3,5,6,8,4,7]=>[[1,2,3,4,6,7],[5,8]]=>6 [1,5,2,3,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>7 [1,2,5,3,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>7 [6,1,7,2,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [6,7,1,2,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [6,1,7,8,2,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [6,7,1,8,2,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [6,1,7,2,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [6,7,1,2,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [6,1,2,7,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [1,6,2,7,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [1,6,7,2,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [6,1,2,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [1,6,2,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [1,6,7,2,8,3,4,5]=>[[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 [6,1,7,2,3,4,8,5]=>[[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]]=>7 [6,1,2,7,3,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [1,6,2,7,3,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [1,6,7,2,3,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [6,1,2,3,7,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [1,6,2,3,7,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [1,2,6,3,7,4,8,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [6,1,2,3,7,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [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]]=>7 [1,2,6,7,3,8,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [1,2,6,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>7 [6,1,7,2,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [6,1,2,7,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,6,2,7,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,6,7,2,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [6,1,2,3,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,6,2,3,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,2,6,3,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,2,6,7,3,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [6,1,2,3,4,7,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,6,2,3,4,7,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,2,6,3,4,7,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,2,3,6,4,7,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,2,3,6,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>7 [6,1,2,3,4,7,8,5]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,6,2,3,4,7,8,5]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,2,6,3,4,7,8,5]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,2,3,6,4,7,8,5]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,2,3,6,7,4,8,5]=>[[1,2,3,4,5,8],[6,7]]=>7 [1,2,3,6,7,8,4,5]=>[[1,2,3,4,5,8],[6,7]]=>7 [6,1,8,2,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [6,8,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [6,1,2,8,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,6,2,8,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,6,8,2,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [6,1,2,3,8,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,6,2,3,8,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,2,6,3,8,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,2,6,8,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [6,1,2,3,4,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,6,2,3,4,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,2,6,3,4,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,2,3,6,4,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,2,3,6,8,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [6,1,2,3,4,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,6,2,3,4,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,2,6,3,4,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,2,3,6,4,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,2,3,4,6,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>6 [1,6,2,3,4,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>7 [1,2,6,3,4,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>7 [1,2,3,6,4,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>7 [7,1,8,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [7,1,2,8,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [1,7,2,8,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [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]]=>7 [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]]=>7 [1,2,7,8,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [7,1,2,3,4,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [1,7,2,3,4,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [1,2,7,3,4,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [1,2,3,7,4,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [1,2,3,7,8,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [7,1,2,3,4,5,8,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [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]]=>7 [1,2,3,7,4,5,8,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [1,2,3,4,7,5,8,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [1,2,3,4,7,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>7 [1,7,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>7 [1,2,7,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>7 [1,2,3,7,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>7 [1,2,3,4,7,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>7 [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]]=>7 [1,2,3,8,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>7 [1,2,3,4,8,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>7 [1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,7],[8]]=>7 [5,3,2,6,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [7,3,2,5,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [8,4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [7,4,5,2,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [6,4,5,2,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [5,4,6,2,1,3,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [3,6,1,5,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [4,6,5,1,3,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [5,6,4,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [7,5,4,3,2,8,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [8,6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>3 [7,6,4,3,8,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [6,7,4,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [5,7,4,3,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [4,7,5,1,3,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [3,7,1,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [2,1,7,5,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [3,8,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [4,8,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [5,8,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [6,8,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [7,8,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>4 [6,8,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>4 [5,8,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [4,8,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [3,8,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [2,1,8,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [2,1,7,6,8,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [3,7,1,6,8,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [4,7,6,1,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [5,7,6,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [5,4,7,2,1,8,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [6,4,7,2,8,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [7,4,6,2,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [8,4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [8,3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [7,3,2,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [6,3,2,7,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [5,3,2,7,1,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [4,3,2,1,7,8,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [3,4,1,2,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [5,3,2,8,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [6,3,2,8,7,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [7,3,2,8,6,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>3 [8,4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [7,4,8,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>4 [6,4,8,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [5,4,8,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [4,5,8,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [3,5,1,8,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [2,1,5,8,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [2,1,6,8,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [3,6,1,8,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [4,6,8,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [5,6,8,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [6,5,8,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [7,5,8,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [8,5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [5,7,8,6,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [4,7,8,1,6,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [3,7,1,8,6,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [2,1,7,8,6,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [3,8,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [4,8,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [5,8,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [6,8,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [2,1,4,3,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5 [3,4,1,2,6,5,8,7,10,9]=>[[1,2,5,7,9],[3,4,6,8,10]]=>6 [4,3,2,1,6,5,8,7,10,9]=>[[1,5,7,9],[2,6,8,10],[3],[4]]=>4 [4,5,6,1,2,3,8,7,10,9]=>[[1,2,3,7,9],[4,5,6,8,10]]=>7 [3,5,1,6,2,4,8,7,10,9]=>[[1,2,4,7,9],[3,5,6,8,10]]=>6 [2,1,5,6,3,4,8,7,10,9]=>[[1,3,4,7,9],[2,5,6,8,10]]=>6 [6,5,4,3,2,1,8,7,10,9]=>[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>3 [5,6,7,8,1,2,3,4,10,9]=>[[1,2,3,4,9],[5,6,7,8,10]]=>8 [4,6,7,1,8,2,3,5,10,9]=>[[1,2,3,5,9],[4,6,7,8,10]]=>7 [3,6,1,7,8,2,4,5,10,9]=>[[1,2,4,5,9],[3,6,7,8,10]]=>7 [2,1,6,7,8,3,4,5,10,9]=>[[1,3,4,5,9],[2,6,7,8,10]]=>7 [2,1,5,7,3,8,4,6,10,9]=>[[1,3,4,6,9],[2,5,7,8,10]]=>6 [3,5,1,7,2,8,4,6,10,9]=>[[1,2,4,6,9],[3,5,7,8,10]]=>6 [4,5,7,1,2,8,3,6,10,9]=>[[1,2,3,6,9],[4,5,7,8,10]]=>7 [3,4,1,2,7,8,5,6,10,9]=>[[1,2,5,6,9],[3,4,7,8,10]]=>7 [2,1,4,3,7,8,5,6,10,9]=>[[1,3,5,6,9],[2,4,7,8,10]]=>6 [4,3,2,1,8,7,6,5,10,9]=>[[1,5,9],[2,6,10],[3,7],[4,8]]=>3 [8,7,6,5,4,3,2,1,10,9]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>2 [2,1,7,8,9,10,3,4,5,6]=>[[1,3,4,5,6],[2,7,8,9,10]]=>8 [3,7,1,8,9,10,2,4,5,6]=>[[1,2,4,5,6],[3,7,8,9,10]]=>8 [4,7,8,1,9,10,2,3,5,6]=>[[1,2,3,5,6],[4,7,8,9,10]]=>8 [5,7,8,9,1,10,2,3,4,6]=>[[1,2,3,4,6],[5,7,8,9,10]]=>8 [6,7,8,9,10,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>9 [5,6,8,9,1,2,10,3,4,7]=>[[1,2,3,4,7],[5,6,8,9,10]]=>8 [4,6,8,1,9,2,10,3,5,7]=>[[1,2,3,5,7],[4,6,8,9,10]]=>7 [3,6,1,8,9,2,10,4,5,7]=>[[1,2,4,5,7],[3,6,8,9,10]]=>7 [2,1,6,8,9,3,10,4,5,7]=>[[1,3,4,5,7],[2,6,8,9,10]]=>7 [2,1,5,8,3,9,10,4,6,7]=>[[1,3,4,6,7],[2,5,8,9,10]]=>7 [3,5,1,8,2,9,10,4,6,7]=>[[1,2,4,6,7],[3,5,8,9,10]]=>7 [4,5,8,1,2,9,10,3,6,7]=>[[1,2,3,6,7],[4,5,8,9,10]]=>8 [3,4,1,2,8,9,10,5,6,7]=>[[1,2,5,6,7],[3,4,8,9,10]]=>8 [2,1,4,3,8,9,10,5,6,7]=>[[1,3,5,6,7],[2,4,8,9,10]]=>7 [2,1,4,3,7,9,5,10,6,8]=>[[1,3,5,6,8],[2,4,7,9,10]]=>6 [3,4,1,2,7,9,5,10,6,8]=>[[1,2,5,6,8],[3,4,7,9,10]]=>7 [4,5,7,1,2,9,3,10,6,8]=>[[1,2,3,6,8],[4,5,7,9,10]]=>7 [3,5,1,7,2,9,4,10,6,8]=>[[1,2,4,6,8],[3,5,7,9,10]]=>6 [2,1,5,7,3,9,4,10,6,8]=>[[1,3,4,6,8],[2,5,7,9,10]]=>6 [2,1,6,7,9,3,4,10,5,8]=>[[1,3,4,5,8],[2,6,7,9,10]]=>7 [3,6,1,7,9,2,4,10,5,8]=>[[1,2,4,5,8],[3,6,7,9,10]]=>7 [4,6,7,1,9,2,3,10,5,8]=>[[1,2,3,5,8],[4,6,7,9,10]]=>7 [5,6,7,9,1,2,3,10,4,8]=>[[1,2,3,4,8],[5,6,7,9,10]]=>8 [2,1,5,6,3,4,9,10,7,8]=>[[1,3,4,7,8],[2,5,6,9,10]]=>7 [3,5,1,6,2,4,9,10,7,8]=>[[1,2,4,7,8],[3,5,6,9,10]]=>7 [4,5,6,1,2,3,9,10,7,8]=>[[1,2,3,7,8],[4,5,6,9,10]]=>8 [3,4,1,2,6,5,9,10,7,8]=>[[1,2,5,7,8],[3,4,6,9,10]]=>7 [2,1,4,3,6,5,9,10,7,8]=>[[1,3,5,7,8],[2,4,6,9,10]]=>6 [2,1,4,3,6,5,10,9,8,7]=>[[1,3,5,7],[2,4,6,8],[9],[10]]=>4 [2,1,6,5,4,3,10,9,8,7]=>[[1,3,7],[2,4,8],[5,9],[6,10]]=>3 [6,5,4,3,2,1,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>2 [2,1,4,3,10,9,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>3 [4,3,2,1,10,9,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>2 [2,1,10,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>2 [10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>1 [4,2,5,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,2,6,1,3,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [5,3,6,1,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [6,2,4,1,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [6,3,5,1,2,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [5,3,7,1,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,4,7,1,2,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [6,2,7,1,3,4,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [6,3,7,1,2,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [6,4,7,1,2,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [7,3,5,1,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [7,3,6,1,2,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [7,4,6,1,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [3,2,8,1,4,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [4,2,8,1,3,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [5,4,8,1,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [6,2,8,1,3,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [6,3,8,1,2,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [6,4,8,1,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [6,5,8,1,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [7,2,8,1,3,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [7,3,8,1,2,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,4,8,1,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [7,5,8,1,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [8,2,4,1,3,5,6,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [8,3,5,1,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [8,3,6,1,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [8,3,7,1,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [8,4,7,1,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [8,5,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [3,2,5,7,1,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [4,2,5,7,1,3,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [5,2,4,7,1,3,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>4 [4,2,6,7,1,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [5,2,6,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [6,2,5,7,1,3,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>5 [3,2,5,8,1,4,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [4,2,5,8,1,3,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,3,5,8,1,2,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [5,2,4,8,1,3,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [3,2,6,8,1,4,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [4,2,6,8,1,3,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [5,2,6,8,1,3,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [6,2,4,8,1,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [6,3,4,8,1,2,5,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [6,2,5,8,1,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [6,3,5,8,1,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [6,4,5,8,1,2,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [3,2,7,8,1,4,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [5,3,7,8,1,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [5,4,7,8,1,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [6,2,7,8,1,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [6,3,7,8,1,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,4,7,8,1,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [7,2,4,8,1,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [7,3,4,8,1,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [7,3,5,8,1,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [7,4,5,8,1,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [7,4,6,8,1,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [8,3,4,6,1,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [8,3,5,6,1,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [8,2,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [8,2,5,7,1,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [8,3,5,7,1,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [8,2,6,7,1,3,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [8,4,6,7,1,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [4,6,2,5,1,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,6,3,5,1,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>5 [3,7,2,5,1,4,6,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [4,7,3,5,1,2,6,8]=>[[1,2,6,8],[3,5],[4,7]]=>5 [3,7,2,6,1,4,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [4,7,3,6,1,2,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>4 [5,7,2,6,1,3,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>5 [6,7,2,5,1,3,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>5 [4,8,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [5,8,2,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [5,8,3,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [5,8,3,6,1,2,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [5,8,4,6,1,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [6,8,3,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [3,8,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [4,8,2,7,1,3,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,8,3,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [5,8,2,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [5,8,3,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [6,8,2,7,1,3,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [6,8,3,7,1,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [6,8,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [7,8,2,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [7,8,2,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>5 [7,8,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [7,8,4,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [4,3,2,6,1,5,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [5,3,2,6,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [6,3,2,5,1,4,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,5,2,4,1,3,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [4,3,2,7,1,5,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [5,3,2,7,1,4,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [6,3,2,7,1,4,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [6,4,2,7,1,3,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,4,3,7,1,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [6,5,2,7,1,3,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [6,5,3,7,1,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [7,3,2,5,1,4,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [7,4,2,5,1,3,6,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [7,3,2,6,1,4,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [7,4,2,6,1,3,5,8]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [7,4,3,6,1,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [7,5,2,6,1,3,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [7,5,3,6,1,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [4,3,2,8,1,5,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [5,3,2,8,1,4,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [6,3,2,8,1,4,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [6,4,2,8,1,3,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [6,4,3,8,1,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,5,2,8,1,3,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [6,5,3,8,1,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [7,3,2,8,1,4,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,4,2,8,1,3,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,4,3,8,1,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,5,3,8,1,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,5,4,8,1,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,6,2,8,1,3,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [8,3,2,5,1,4,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [8,4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,3,2,6,1,4,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [8,5,3,6,1,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [8,6,2,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,3,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [8,4,2,7,1,3,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,4,3,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [8,5,2,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [8,5,3,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,6,3,7,1,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [8,7,2,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,7,2,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,7,2,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,7,3,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,7,4,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [4,6,3,5,8,1,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>4 [5,6,2,4,8,1,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [4,7,2,5,8,1,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [4,7,3,5,8,1,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [5,7,2,4,8,1,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [5,7,3,4,8,1,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [4,7,3,6,8,1,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [5,7,2,6,8,1,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [5,7,4,6,8,1,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [6,7,3,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [6,7,3,5,8,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [3,8,2,5,7,1,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [4,8,3,5,7,1,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [5,8,2,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [3,8,2,6,7,1,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [5,8,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [5,8,3,6,7,1,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [6,8,2,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [7,8,2,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [7,8,2,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [7,8,3,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [4,3,2,6,8,1,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [5,3,2,6,8,1,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,4,2,6,8,1,3,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [5,4,3,6,8,1,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [6,3,2,5,8,1,4,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [6,4,3,5,8,1,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [6,5,2,4,8,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [4,3,2,7,8,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [5,3,2,7,8,1,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,4,2,7,8,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [5,4,3,7,8,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [6,4,2,7,8,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,4,3,7,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [7,4,2,5,8,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [7,4,3,5,8,1,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [7,5,2,6,8,1,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [7,5,3,6,8,1,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [7,6,2,4,8,1,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [8,4,2,5,7,1,3,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [8,5,2,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [8,3,2,6,7,1,4,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [8,5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [8,5,3,6,7,1,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [8,6,2,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [8,7,2,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [8,7,3,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,7,2,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [4,3,7,2,6,1,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [5,4,7,2,6,1,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [6,3,7,2,5,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,4,7,2,5,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,4,7,3,5,1,2,8]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [4,3,8,2,6,1,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [5,3,8,2,6,1,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,4,8,2,6,1,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,4,8,3,6,1,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [6,4,8,2,5,1,3,7]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [6,4,8,3,5,1,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,5,8,2,4,1,3,7]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [6,5,8,3,4,1,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [4,3,8,2,7,1,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [5,3,8,2,7,1,4,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [5,4,8,2,7,1,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [5,4,8,3,7,1,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,3,8,2,7,1,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [6,4,8,2,7,1,3,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [7,3,8,2,5,1,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,4,8,3,5,1,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [7,5,8,2,4,1,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,5,8,2,6,1,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,5,8,4,6,1,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,6,8,2,5,1,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,6,8,3,5,1,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [8,5,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [8,4,7,3,5,1,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [8,5,7,2,4,1,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [8,3,7,2,6,1,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [8,4,7,2,6,1,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,4,7,3,6,1,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [8,5,7,2,6,1,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,6,7,2,4,1,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [8,6,7,2,5,1,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [8,6,7,3,5,1,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [5,4,3,2,7,1,6,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [6,4,3,2,7,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,5,3,2,7,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [6,5,4,2,7,1,3,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [7,5,3,2,6,1,4,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [7,5,4,2,6,1,3,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [5,4,3,2,8,1,6,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [6,5,3,2,8,1,4,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [6,5,4,3,8,1,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [7,5,3,2,8,1,4,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [7,5,4,2,8,1,3,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,6,3,2,8,1,4,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [7,6,4,3,8,1,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [7,6,5,2,8,1,3,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [8,5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,5,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,6,5,2,4,1,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [8,5,3,2,7,1,4,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [8,6,3,2,7,1,4,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [8,6,4,3,7,1,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [8,7,3,2,6,1,4,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,7,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,7,4,3,6,1,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,7,5,2,6,1,3,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [8,7,6,2,4,1,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,7,6,2,5,1,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,7,6,3,5,1,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [4,8,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [5,8,3,7,2,6,1,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [5,8,4,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [5,8,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [6,8,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [6,8,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [6,8,4,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [6,8,5,7,2,4,1,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [6,8,5,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6,8]]=>4 [7,8,3,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>3 [7,8,4,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>4 [7,8,4,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>4 [7,8,5,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [5,4,3,8,2,7,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [6,4,3,8,2,7,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [6,5,3,8,2,7,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [6,5,4,8,3,7,1,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [7,4,3,8,2,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [7,5,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [7,5,4,8,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [7,6,3,8,2,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [7,6,4,8,2,5,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [7,6,5,8,2,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [8,4,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [8,5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [8,5,4,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [8,5,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [8,6,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [8,6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [8,6,4,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [8,6,5,7,2,4,1,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [8,7,3,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [8,7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [8,7,4,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [8,7,5,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [6,5,4,3,2,8,1,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [7,6,5,4,2,8,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [8,5,4,3,2,7,1,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [8,7,4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [8,7,5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [8,7,5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [8,7,6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [8,7,6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [8,7,6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [8,1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [8,1,2,3,6,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [8,1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [7,1,2,3,6,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [5,1,2,3,8,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [8,1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [4,1,2,8,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [8,1,2,5,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [7,1,2,5,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [8,1,2,6,3,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [7,1,2,6,3,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [6,1,2,5,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [8,1,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [8,1,2,6,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [6,1,2,5,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [4,1,2,8,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [4,1,2,8,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [4,1,2,7,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [8,1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [8,1,2,5,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [8,1,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [7,1,2,5,6,3,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [4,1,2,5,8,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,1,2,8,6,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [8,1,2,5,6,7,3,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [3,1,8,2,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,1,8,2,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,1,8,2,7,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,1,7,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [3,1,5,2,8,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [3,1,8,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [8,1,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>6 [7,1,4,2,3,5,8,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [6,1,4,2,3,8,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [8,1,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [6,1,4,2,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [8,1,5,2,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [7,1,5,2,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [8,1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [6,1,5,2,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [8,1,5,2,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [6,1,8,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [6,1,5,2,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [5,1,4,2,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [5,1,4,2,7,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [8,1,4,2,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [8,1,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [7,1,4,2,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [8,1,5,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [8,1,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [7,1,8,2,6,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [7,1,5,2,6,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [5,1,4,2,6,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [5,1,4,2,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [8,1,4,2,6,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [8,1,5,2,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,1,4,2,6,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [3,1,4,8,2,7,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,1,8,5,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [3,1,7,5,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [3,1,8,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,1,7,6,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [3,1,6,5,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [3,1,8,5,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [3,1,8,6,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [3,1,6,5,2,7,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [8,1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [7,1,4,5,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [8,1,4,6,2,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [7,1,4,8,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [7,1,4,6,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [8,1,6,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [7,1,8,5,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [7,1,8,6,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [7,1,6,5,2,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [6,1,4,5,2,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [8,1,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [8,1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [8,1,6,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,1,4,5,2,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [3,1,4,8,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [3,1,4,8,7,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,1,4,7,6,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,1,8,5,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [3,1,8,5,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [3,1,8,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [3,1,7,5,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [8,1,4,5,6,2,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [8,1,4,5,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [8,1,4,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [8,1,7,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [7,1,4,5,6,2,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [3,1,4,5,8,7,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,1,4,8,6,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [3,1,8,5,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [8,1,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [2,8,1,3,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,8,1,3,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,8,1,3,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,7,1,3,6,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,5,1,3,8,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,8,1,3,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,4,1,8,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,8,1,5,3,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,7,1,5,3,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,8,1,6,3,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,7,1,6,3,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,6,1,5,3,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,8,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,6,1,5,3,7,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [2,4,1,8,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,1,8,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,4,1,7,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,8,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,8,1,5,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,8,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,7,1,5,6,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [2,4,1,5,8,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,4,1,8,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,8,1,5,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [7,3,1,2,4,5,8,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [6,3,1,2,4,8,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [8,3,1,2,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [6,3,1,2,4,7,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>6 [5,3,1,2,8,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [5,3,1,2,7,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [8,3,1,2,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [8,3,1,2,7,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [7,3,1,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [5,3,1,2,6,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [5,3,1,2,8,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [8,3,1,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [5,3,1,2,6,7,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>6 [7,4,1,2,3,5,8,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [6,4,1,2,3,8,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [8,4,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [6,4,1,2,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [7,6,1,2,3,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [5,8,1,2,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [8,6,1,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [5,4,1,2,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [5,4,1,2,7,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [8,4,1,2,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [8,4,1,2,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [7,4,1,2,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [5,8,1,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [5,8,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [8,7,1,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [5,7,1,2,6,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [5,4,1,2,6,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [5,4,1,2,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [8,4,1,2,6,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [5,8,1,2,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,4,1,2,6,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [4,3,1,8,2,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [4,3,1,7,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [4,3,1,6,2,8,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,3,1,8,2,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [4,3,1,6,2,7,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [8,3,1,5,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [7,3,1,5,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [8,3,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [7,3,1,8,2,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,3,1,6,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [6,3,1,5,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [8,3,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [8,3,1,6,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [6,3,1,5,2,7,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [8,4,1,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [7,4,1,5,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [8,4,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [7,4,1,8,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [7,4,1,6,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [6,8,1,5,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [8,7,1,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [8,7,1,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [6,7,1,5,2,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,4,1,5,2,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [8,4,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [8,4,1,6,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [6,8,1,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [6,4,1,5,2,7,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [4,3,1,5,8,2,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,3,1,5,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,3,1,8,6,2,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [4,3,1,8,7,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [4,3,1,7,6,2,8,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [8,3,1,5,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [8,3,1,5,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [8,3,1,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [7,3,1,5,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [8,4,1,5,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [8,4,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [8,4,1,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [7,8,1,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [7,4,1,5,6,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,3,1,5,6,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,3,1,5,8,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [4,3,1,8,6,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [8,3,1,5,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [8,4,1,5,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [4,3,1,5,6,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [2,3,8,1,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,3,8,1,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,8,1,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,3,7,1,6,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,3,5,1,8,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,3,8,1,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,8,4,1,3,5,6,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [2,7,4,1,3,5,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,6,4,1,3,8,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,8,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,6,4,1,3,7,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [2,8,5,1,3,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,7,5,1,3,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,8,7,1,3,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,6,5,1,3,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,8,5,1,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,6,8,1,3,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,6,5,1,3,7,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [2,5,4,1,8,3,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,5,4,1,7,3,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,8,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,8,4,1,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,7,4,1,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,8,5,1,6,3,4,7]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,8,5,1,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,7,8,1,6,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,7,5,1,6,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [2,5,4,1,6,8,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,5,4,1,8,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [2,8,4,1,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,8,5,1,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,5,4,1,6,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [7,3,4,1,2,5,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [6,3,4,1,2,8,5,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [8,3,4,1,2,7,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [6,3,4,1,2,7,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [7,3,5,1,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [6,3,7,1,2,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,3,5,1,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [8,3,5,1,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [6,3,8,1,2,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [6,3,5,1,2,7,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [7,5,4,1,2,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [6,8,4,1,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [6,7,4,1,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,8,5,1,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [6,7,5,1,2,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,5,4,1,2,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [8,5,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [6,8,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [6,8,5,1,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [6,5,4,1,2,7,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [5,3,4,1,8,2,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [5,3,4,1,7,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [8,3,4,1,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [8,3,4,1,7,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [7,3,4,1,6,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [8,3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [8,3,5,1,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [7,3,8,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [7,3,5,1,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [8,5,4,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,5,4,1,7,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [7,8,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,8,5,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [7,5,4,1,6,2,8,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [5,3,4,1,6,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [5,3,4,1,8,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [8,3,4,1,6,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [8,3,5,1,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [8,5,4,1,6,7,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [5,3,4,1,6,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [2,3,4,8,1,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,3,8,5,1,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,3,7,5,1,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,3,8,6,1,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,7,6,1,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,3,6,5,1,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,3,8,5,1,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,3,8,6,1,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,3,6,5,1,7,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [2,8,4,5,1,3,6,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [2,7,4,5,1,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,8,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,7,4,8,1,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,7,4,6,1,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,8,6,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,7,8,5,1,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,7,8,6,1,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,7,6,5,1,3,8,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [2,6,4,5,1,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,8,4,5,1,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,8,4,6,1,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,8,6,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [2,6,4,5,1,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [7,3,4,5,1,2,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [7,3,4,6,1,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [8,3,6,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [7,3,8,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [7,3,8,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [7,3,6,5,1,2,8,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [7,6,4,5,1,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [6,3,4,5,1,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [8,3,4,5,1,7,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [8,3,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [8,3,6,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [8,6,4,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [6,3,4,5,1,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [2,3,4,8,6,1,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,4,8,7,1,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,3,4,7,6,1,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,3,8,5,6,1,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,3,8,5,7,1,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,3,8,7,6,1,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,3,7,5,6,1,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [2,8,4,5,6,1,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [2,8,4,5,7,1,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,8,4,7,6,1,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [2,8,7,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [2,7,4,5,6,1,8,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [8,3,4,5,7,1,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [8,3,4,7,6,1,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,3,7,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [7,3,4,5,6,1,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [2,3,4,5,8,7,1,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,3,4,8,6,7,1,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,8,5,6,7,1,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,8,4,5,6,7,1,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>8 [8,1,2,3,4,5,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [7,1,2,3,4,5,9,6,8]=>[[1,2,3,4,5,6,8],[7,9]]=>7 [9,1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [9,1,2,3,4,8,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [6,1,2,3,4,9,8,5,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>6 [9,1,2,3,4,7,8,5,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>7 [8,1,2,3,9,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [9,1,2,3,6,8,4,5,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>6 [5,1,2,3,6,7,8,9,4]=>[[1,2,3,4,7,8,9],[5,6]]=>8 [9,1,2,8,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [7,1,2,8,3,4,5,9,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [9,1,2,8,6,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8],[9]]=>6 [9,1,2,5,6,7,8,3,4]=>[[1,2,3,4,7,8],[5,6],[9]]=>7 [9,1,8,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [7,1,8,9,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [9,1,8,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8],[9]]=>6 [3,1,4,5,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [2,4,1,6,3,8,5,9,7]=>[[1,3,5,7,9],[2,4,6,8]]=>5 [2,4,1,5,6,7,8,9,3]=>[[1,3,5,6,7,8,9],[2,4]]=>7 [8,3,1,2,4,5,6,9,7]=>[[1,2,4,5,6,7],[3,9],[8]]=>7 [6,3,1,2,4,7,8,9,5]=>[[1,2,4,5,8,9],[3,7],[6]]=>7 [8,9,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [9,6,1,2,3,4,8,5,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>6 [9,7,1,2,3,4,8,5,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>7 [9,8,1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>6 [9,6,1,2,3,7,8,4,5]=>[[1,2,3,4,5],[6,7,8],[9]]=>7 [5,9,1,2,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6],[9]]=>7 [9,8,1,2,6,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8],[9]]=>6 [9,8,1,6,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8],[9]]=>6 [9,8,1,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>5 [8,9,1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8,9]]=>7 [2,9,4,1,6,3,8,5,7]=>[[1,3,5,7],[2,4,6,8],[9]]=>4 [6,9,8,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>6 [9,7,8,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>7 [6,7,8,1,2,3,4,9,5]=>[[1,2,3,4,5],[6,7,8,9]]=>8 [2,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2]]=>8 []=>[]=>0 [3,5,2,6,1,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,5,2,6,4,1,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,5,2,7,4,8,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,2,7,4,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [4,5,7,2,3,8,6,1]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,5,7,2,3,8,1,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,5,6,2,3,1,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,5,6,2,1,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [3,5,1,6,4,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [4,5,6,1,3,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,5,6,3,1,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,5,7,3,2,8,1,6]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,5,7,3,2,8,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,6,7,3,8,2,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,6,7,3,8,2,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,6,7,3,8,1,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,5,7,3,1,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,5,7,1,3,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [3,5,1,7,4,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [2,1,5,7,4,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,1,5,7,4,8,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>4 [3,5,1,7,4,8,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [4,5,7,1,3,8,6,2]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,5,7,3,1,8,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,6,7,3,8,1,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,6,7,3,8,5,1,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,6,7,3,8,5,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [5,6,7,8,3,1,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [5,6,7,8,1,3,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>6 [4,6,7,1,8,3,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>5 [3,6,1,7,8,4,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>6 [2,1,6,7,8,4,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>5 [2,1,6,7,8,4,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [3,6,1,7,8,4,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [4,6,7,1,8,3,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [5,6,7,8,1,3,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [4,5,7,2,1,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,6,7,2,8,1,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,6,7,2,8,3,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,6,7,2,8,3,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,6,2,7,8,4,5,1]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,6,2,7,8,4,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,6,2,7,8,1,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,5,2,7,1,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,4,2,1,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,4,1,2,7,8,6,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,5,2,7,1,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,6,2,7,8,1,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,6,2,7,8,5,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,6,2,7,8,5,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [4,6,7,2,8,5,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,6,7,2,8,5,1,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,6,7,2,8,1,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,5,7,2,1,8,6,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [4,5,7,1,2,8,6,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [3,5,1,7,2,8,6,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [2,1,5,7,3,8,6,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [2,1,6,7,8,3,5,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [3,6,1,7,8,2,5,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [4,6,7,1,8,2,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [5,6,7,8,1,2,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,6,7,8,2,1,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,6,7,8,2,4,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,6,7,8,2,4,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,6,7,8,1,4,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [4,6,7,1,8,5,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [3,6,1,7,8,5,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [2,1,6,7,8,5,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [3,6,1,7,8,5,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [4,6,7,1,8,5,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [5,6,7,8,1,4,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,6,7,8,4,1,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [3,5,2,7,4,9,6,10,8,1]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>5 [4,6,8,3,9,5,10,7,2,1]=>[[1,5,7,9,10],[2,6,8],[3],[4]]=>5 [5,7,8,9,4,10,6,3,2,1]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>5 [6,7,8,9,10,4,3,2,1,5]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>6 [6,7,8,9,10,3,4,1,2,5]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>8 [6,7,8,9,10,3,4,2,1,5]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>7 [6,7,8,9,10,2,3,4,1,5]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>8 [6,7,8,9,10,5,4,3,2,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>5 [6,5,8,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6,8]]=>4 [3,6,7,4,5,8,1,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [2,6,7,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [1,6,7,4,5,2,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,5,4,7,6,2,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>5 [2,5,4,7,6,1,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [3,5,4,7,6,8,1,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [4,5,3,7,8,6,1,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [5,4,3,8,7,6,1,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [6,4,8,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [6,3,8,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [5,3,4,8,6,7,1,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [4,3,5,6,8,7,1,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [3,2,5,6,1,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [4,2,5,6,8,1,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [5,2,4,8,6,1,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [6,2,8,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [7,8,2,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [7,8,1,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [6,1,8,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [5,1,4,8,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [4,1,3,2,8,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [5,1,3,8,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [6,1,8,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [7,8,1,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [7,8,2,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [6,2,8,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [5,2,3,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [6,3,8,2,1,7,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [7,8,3,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>3 [7,8,4,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>4 [5,4,2,8,7,1,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [4,5,2,7,8,1,6,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [2,5,3,7,1,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [1,5,3,7,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [1,6,7,3,2,5,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>5 [2,6,7,3,1,5,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [3,6,7,2,1,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [7,8,5,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [6,5,8,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [5,4,1,8,7,2,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [6,4,8,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [7,8,3,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [5,3,1,8,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [4,3,1,2,8,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [4,2,1,3,8,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [5,2,1,8,3,4,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [6,2,8,1,3,4,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [7,8,2,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [4,3,1,2,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [5,3,1,6,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [6,3,1,5,2,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [7,3,1,5,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [8,4,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [7,4,5,1,2,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [6,4,5,1,2,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [5,4,6,1,2,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [2,1,6,5,3,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [3,6,1,5,2,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [4,6,5,1,2,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [5,6,4,1,2,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [6,5,4,1,2,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [7,5,4,1,2,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [8,6,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,6,4,1,8,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [6,7,4,1,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [5,7,4,1,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [4,7,5,1,2,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [3,7,1,5,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [2,1,7,5,3,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,1,8,5,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [3,8,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [4,8,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [5,8,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [6,8,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [8,7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [5,8,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [4,8,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [3,8,1,6,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [2,1,8,6,7,3,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,1,7,6,8,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [3,7,1,6,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [4,7,6,1,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [5,7,6,8,1,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [5,4,7,1,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [6,4,7,1,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [7,4,6,1,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [8,4,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [8,3,1,6,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [7,3,1,6,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [6,3,1,7,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [5,3,1,7,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [4,3,1,2,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [2,1,4,3,8,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [3,4,1,2,8,7,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [6,3,1,8,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [7,3,1,8,6,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [8,4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [7,4,8,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [5,4,8,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [4,5,8,1,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [3,5,1,8,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [2,1,5,8,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,1,6,8,7,3,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [3,6,1,8,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [4,6,8,1,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [5,6,8,7,1,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [7,5,8,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [8,5,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [5,7,8,6,1,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [4,7,8,1,6,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [3,7,1,8,6,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [2,1,7,8,6,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,1,8,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [3,8,1,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [4,8,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [5,8,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [6,8,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,4,7,3,8,5,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,4,7,3,5,8,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,4,7,2,5,1,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [5,4,2,7,6,1,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,4,2,7,6,1,8,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,4,3,7,6,8,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,4,3,7,8,6,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [6,4,8,3,5,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [5,4,3,8,6,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,4,3,6,8,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,4,2,6,7,1,8,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,2,6,7,1,3,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,3,2,6,1,7,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,2,6,1,7,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,2,6,1,8,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,4,2,6,8,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,4,2,8,6,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [6,4,8,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [7,8,4,2,5,1,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [7,8,4,2,5,1,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [5,4,2,8,6,1,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,3,2,6,1,8,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [4,3,2,1,6,8,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,3,2,1,8,6,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [5,3,2,8,1,6,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [6,3,8,2,1,5,4,7]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [7,8,3,2,1,5,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,8,3,2,1,5,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [6,3,8,2,1,5,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [5,3,2,8,1,6,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,4,2,7,8,1,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,3,2,7,1,8,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,3,2,7,1,6,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,3,2,7,1,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [6,3,7,2,1,5,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,3,7,2,1,5,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,3,7,2,1,8,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,4,7,2,8,1,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,5,7,8,2,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,5,8,7,2,1,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,3,7,2,1,8,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [6,3,7,2,1,4,8,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [6,3,7,2,1,4,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [5,3,2,7,1,4,8,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,4,2,8,7,1,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [7,8,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [7,8,3,2,1,6,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,3,8,2,1,7,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [5,3,2,8,1,7,4,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [4,3,2,1,8,7,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,3,2,1,7,5,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,3,2,1,7,5,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,3,2,1,8,5,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [5,3,2,8,1,4,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [6,3,8,2,1,4,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [7,8,3,2,1,4,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,3,8,2,1,4,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [4,3,2,1,8,5,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,3,2,1,5,8,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [7,8,5,6,1,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,8,4,1,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,8,1,4,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [6,1,8,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [1,6,8,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [7,8,1,3,2,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,8,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,8,2,4,6,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,8,2,1,3,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,8,1,2,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [6,1,8,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,6,8,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,2,8,1,3,7,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [6,2,8,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [6,3,8,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [3,6,8,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [2,6,8,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [2,6,8,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [2,6,8,1,3,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [1,2,5,8,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [2,4,1,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [2,5,3,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [3,5,4,8,7,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [5,3,4,8,7,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [4,2,1,3,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [4,1,2,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [4,3,1,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [6,3,8,1,2,7,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [5,1,3,8,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [1,5,4,8,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [6,4,8,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [6,5,8,7,1,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [5,6,8,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [5,6,8,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [4,5,1,8,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [1,4,5,8,7,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [4,6,8,2,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [4,6,8,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,5,3,8,7,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [4,5,2,8,7,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [3,5,2,8,1,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,1,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [4,3,5,8,7,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [3,4,5,8,7,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [4,1,3,2,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [5,1,3,2,6,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [6,1,3,2,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [7,1,3,2,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [8,1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [8,1,4,2,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [7,1,4,2,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [6,1,4,2,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [5,1,4,2,6,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [2,1,6,3,5,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [3,1,6,2,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [4,1,6,2,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [6,2,5,1,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [5,2,6,1,4,3,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [5,2,7,1,4,3,8,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [5,2,8,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [6,2,8,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [6,2,7,1,4,3,8,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [7,2,6,1,4,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [7,2,5,1,4,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [4,1,7,2,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [3,1,7,2,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [2,1,7,3,5,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,1,8,3,5,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [3,1,8,2,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [4,1,8,2,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [8,2,5,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [8,2,6,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [7,1,4,3,8,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,1,4,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [8,1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [7,1,5,3,8,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [8,2,6,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [5,1,8,2,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [4,1,8,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [3,1,8,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [2,1,8,3,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,1,7,3,6,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [4,1,7,2,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [5,1,7,2,6,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [7,2,6,1,5,3,8,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [6,2,7,1,5,3,8,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,2,8,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [8,1,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [6,1,5,2,7,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,1,4,2,7,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [8,1,4,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [8,1,3,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [7,1,3,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [6,1,3,2,7,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [5,1,3,2,7,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [4,1,3,2,7,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [2,1,4,3,8,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [3,1,4,2,8,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [4,1,3,2,8,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [5,1,3,2,8,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [6,1,3,2,8,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [8,4,7,1,3,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [7,4,8,1,3,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [7,3,8,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [8,3,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [6,1,4,2,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [5,1,4,2,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [4,1,5,2,8,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [3,1,5,2,8,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [2,1,5,3,8,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,1,6,3,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [3,1,6,2,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [4,1,6,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [5,1,6,2,8,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [6,1,5,2,8,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [8,3,7,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [7,3,8,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [6,2,7,3,8,1,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,2,8,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [8,3,7,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [5,1,8,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [4,1,8,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [3,1,8,4,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [2,1,8,4,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [2,1,7,4,8,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [3,1,7,4,8,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [4,1,7,3,8,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [5,1,7,3,8,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [7,3,8,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>3 [8,2,6,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [7,2,6,3,8,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [3,4,2,6,8,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [5,3,6,2,8,1,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,3,6,2,4,8,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,7,3,8,2,4,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,7,3,8,2,4,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [7,4,2,5,8,3,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [7,4,2,5,8,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [4,5,2,6,3,8,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,5,2,1,6,8,3,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [5,3,1,6,8,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [5,6,2,8,1,3,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [3,5,6,1,4,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [4,1,5,6,3,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,5,1,6,3,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,5,6,3,2,8,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [7,4,5,3,8,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [7,4,5,3,8,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [6,7,4,8,3,2,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,7,4,8,3,2,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,7,4,1,8,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [7,4,5,3,1,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [4,7,1,5,8,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [5,3,7,8,1,4,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [7,5,8,2,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,3,5,8,1,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [4,5,1,7,8,3,6,2]=>[[1,2,6,8],[3,5,7],[4]]=>5 [7,4,1,5,8,3,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [6,7,4,3,8,1,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,7,4,8,3,1,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,7,4,8,3,5,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [5,6,7,3,8,4,2,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,6,7,3,1,8,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [5,6,1,7,3,8,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,1,6,7,3,8,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>6 [6,4,7,1,8,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,7,8,3,1,4,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [6,7,2,8,4,5,1,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,7,2,8,4,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,1,7,4,8,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [5,1,6,7,3,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,1,7,3,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,7,3,2,1,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,6,7,3,2,8,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,6,2,7,3,8,4,1]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,6,2,7,3,1,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,6,2,1,7,3,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [6,1,7,4,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,7,2,1,8,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [7,5,8,2,1,3,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [5,7,3,1,8,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [4,7,1,5,2,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [7,4,2,5,1,8,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [6,7,4,2,1,8,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,7,4,2,8,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,7,4,2,8,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [3,6,7,2,8,4,5,1]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,6,7,2,8,4,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,6,7,2,1,8,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [5,7,3,8,2,1,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [3,4,7,8,2,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,7,8,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [3,4,7,8,2,6,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [5,7,3,8,2,6,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [3,6,7,2,8,5,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,6,7,8,5,2,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,6,7,8,5,2,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,4,7,8,2,5,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,4,7,8,2,1,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [4,1,5,7,8,2,6,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [5,3,7,8,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [6,7,2,8,5,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,4,1,7,8,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [5,1,6,2,7,8,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,6,2,1,7,8,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,6,2,7,1,8,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,6,2,7,8,4,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,6,7,2,8,4,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,6,7,2,1,8,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,6,1,7,2,8,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,1,6,7,2,8,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [6,4,7,1,8,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [3,6,7,1,8,5,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [6,7,8,5,2,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,7,8,3,5,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [4,6,7,8,1,5,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [5,1,6,7,8,4,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,6,1,7,8,4,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,6,7,1,8,4,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [8,6,1,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [8,3,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [8,5,3,6,2,4,1,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [5,3,2,7,4,1,8,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [7,5,3,8,2,4,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [7,2,4,5,8,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [2,4,5,3,7,1,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>5 [8,2,4,5,6,3,1,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [8,2,4,5,6,1,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [8,1,2,4,5,6,3,7]=>[[1,2,3,5,6,7],[4],[8]]=>6 [8,2,5,1,3,6,4,7]=>[[1,3,4,7],[2,5,6],[8]]=>5 [8,5,6,2,1,4,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [8,5,3,6,4,1,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [8,4,1,5,6,3,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,1,4,5,6,3,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [4,5,3,7,2,1,8,6]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [7,4,5,8,3,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [4,3,6,7,2,8,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,3,6,7,2,8,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [1,4,3,6,7,2,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [4,5,3,7,1,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,1,5,3,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [5,3,4,7,1,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [7,5,8,2,1,4,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,5,3,8,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,4,5,8,3,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [4,3,6,7,8,1,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [1,6,4,7,8,3,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [6,4,7,8,3,5,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [3,5,6,7,8,4,1,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [3,1,5,6,7,8,4,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [4,6,1,7,8,3,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>5 [3,6,7,1,4,8,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>6 [6,2,4,1,7,8,5,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [2,6,7,1,4,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [4,3,6,7,8,1,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [1,5,3,6,7,8,2,4]=>[[1,2,4,7,8],[3,6],[5]]=>6 [3,5,6,7,8,2,1,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,6,7,8,2,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [5,2,7,1,3,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [5,3,1,7,8,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [4,5,2,7,8,1,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,2,6,7,8,3,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,2,6,7,8,3,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,6,2,7,4,8,5,1]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,6,2,7,4,8,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,2,1,6,4,7,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,7,4,2,1,5,8,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [1,7,3,4,2,5,8,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [4,7,2,1,3,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [7,8,4,2,1,3,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [7,8,1,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [7,8,3,4,2,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,3,2,7,1,8,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [3,6,2,7,1,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [6,7,3,8,2,5,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,4,7,8,5,2,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [2,6,4,7,8,1,5,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [4,6,2,7,8,1,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [7,4,5,8,6,2,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [7,4,1,5,8,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [7,5,3,8,6,1,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,5,8,2,1,6,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [6,2,7,1,3,8,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,3,1,7,8,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [4,6,1,7,8,5,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [5,1,2,6,7,8,4,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [5,2,6,7,8,4,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,2,6,7,8,4,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [2,5,6,7,8,4,1,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [1,5,2,6,7,8,4,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [1,6,4,7,8,5,2,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [2,6,7,1,3,8,5,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [6,7,8,2,1,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,7,3,8,5,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,4,7,8,5,3,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [4,5,2,3,7,6,1,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [6,4,3,7,2,5,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [8,4,3,6,5,1,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [1,5,6,3,4,8,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>5 [4,6,2,7,3,5,1,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,2,6,7,4,5,1,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [4,7,2,6,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [5,7,6,2,4,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [1,7,5,4,8,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [8,7,5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [6,8,5,4,2,1,3,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [5,8,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [4,8,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [3,2,8,6,5,1,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [4,1,2,6,5,8,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>5 [5,1,6,2,4,8,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>5 [6,1,5,4,2,8,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [7,1,5,4,8,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [8,1,5,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [1,8,6,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [8,1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [7,1,6,8,4,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [6,1,7,8,2,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [5,1,7,2,8,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>5 [4,1,2,7,8,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>6 [3,2,1,7,8,5,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,2,8,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [4,8,2,7,1,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [5,8,7,2,1,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [6,8,7,1,2,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,8,6,1,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [8,7,6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [1,7,6,8,4,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [1,6,7,8,3,4,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>6 [8,6,7,1,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,6,8,1,3,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [5,7,8,2,1,3,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [4,7,2,8,1,3,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [3,2,6,8,4,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [4,6,2,8,3,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [5,6,8,2,3,1,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [6,5,8,3,2,1,4,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [7,5,8,3,1,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [8,5,7,3,1,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [1,5,7,3,8,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,4,3,7,8,5,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>5 [8,4,3,7,1,5,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [6,4,3,8,2,1,5,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [4,5,2,3,8,1,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [3,2,5,4,8,1,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [4,5,2,3,1,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [6,4,3,1,2,8,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [7,4,3,1,8,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,4,3,1,7,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [1,5,8,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [8,5,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [7,5,1,3,8,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [6,5,1,3,2,8,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [5,6,1,2,3,8,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [4,6,2,1,3,8,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [3,2,6,1,4,8,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [3,2,7,1,8,4,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [4,7,2,1,8,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [5,7,1,2,8,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [6,7,1,8,2,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [7,6,1,8,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [8,6,1,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [1,6,8,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [1,7,8,6,5,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [8,7,1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [7,8,1,6,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [6,8,1,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [5,8,1,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [4,8,2,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [3,2,8,1,7,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [4,1,2,8,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [5,1,8,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [6,1,8,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [7,1,8,6,5,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [8,1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [3,1,2,6,5,8,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>4 [3,1,6,2,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [3,1,5,2,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [4,5,1,2,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,6,1,2,3,8,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [1,6,5,3,4,8,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [6,1,5,2,4,8,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [6,5,1,2,3,8,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [6,4,1,2,3,8,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [5,4,1,2,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [5,4,1,2,7,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [6,4,1,7,2,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [6,4,1,8,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [7,4,1,2,8,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,5,1,2,8,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [7,1,5,2,8,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [1,7,5,3,8,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,8,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,1,5,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [8,5,1,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [8,4,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [8,4,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [7,4,1,6,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [8,6,1,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,1,6,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,8,6,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,7,6,8,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,1,6,8,2,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,6,1,8,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [4,7,1,2,8,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [3,1,7,2,8,4,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [3,1,2,7,8,5,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>5 [1,4,3,8,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [4,1,2,8,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [3,1,2,8,7,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,1,8,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [3,1,8,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,1,7,6,2,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [4,7,1,6,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [4,8,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [4,8,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [4,8,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [5,8,1,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [5,1,8,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,5,8,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,6,8,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [6,1,8,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [6,8,1,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,8,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [5,8,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [5,8,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [5,7,6,1,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [7,8,1,6,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,1,8,6,2,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,7,8,6,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,8,7,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [8,1,7,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,7,1,6,2,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [3,2,5,1,6,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,2,5,4,7,1,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [4,2,5,3,7,6,8,1]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,2,5,3,7,1,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,2,5,3,6,1,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,2,5,1,6,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [3,1,5,4,6,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [4,1,5,3,6,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,3,5,1,6,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,3,5,2,7,1,8,6]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,3,6,2,7,5,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,3,6,2,7,1,8,5]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,3,6,1,7,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,3,5,1,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [3,1,5,4,7,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [2,1,5,4,7,3,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [3,1,5,4,7,6,8,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [4,1,5,3,7,6,8,2]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,3,5,1,7,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,3,6,1,7,5,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,3,6,5,7,1,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [5,3,6,4,7,2,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,6,4,7,1,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [5,3,6,1,7,4,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [5,1,6,3,7,4,8,2]=>[[1,2,4,8],[3,6,7],[5]]=>6 [4,1,6,3,7,5,8,2]=>[[1,2,5,8],[3,6,7],[4]]=>5 [3,1,6,4,7,5,8,2]=>[[1,2,5,8],[3,4,7],[6]]=>6 [2,1,6,4,7,5,8,3]=>[[1,3,5,8],[2,4,7],[6]]=>5 [2,1,6,4,7,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [3,1,6,4,7,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [4,1,6,3,7,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [5,1,6,3,7,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,3,6,1,7,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,3,6,2,7,1,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,6,2,7,4,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,2,6,3,7,4,8,1]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,2,6,3,7,1,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,2,6,1,7,3,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [4,2,5,1,7,3,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,2,6,1,7,3,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,2,6,3,7,1,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,2,6,3,7,5,8,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,2,6,4,7,5,8,1]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,2,6,4,7,1,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,2,6,1,7,4,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,2,5,1,7,4,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,2,4,1,7,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,1,4,2,7,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,2,5,1,7,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,2,6,1,7,5,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,2,6,5,7,1,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [4,2,6,5,7,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,2,6,5,7,1,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,2,6,1,7,5,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,2,5,1,7,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [4,1,5,2,7,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [3,1,5,2,7,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [2,1,5,3,7,6,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [2,1,6,3,7,5,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [3,1,6,2,7,5,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [4,1,6,2,7,5,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [5,1,6,2,7,4,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,2,6,1,7,4,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,2,6,4,7,1,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,2,6,4,7,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,6,2,7,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,6,2,7,1,8,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,6,1,7,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,1,6,4,7,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [4,1,6,5,7,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [3,1,6,5,7,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [2,1,6,5,7,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [3,1,6,5,7,4,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [4,1,6,5,7,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [5,1,6,4,7,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,4,6,1,7,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,4,6,3,7,1,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [8,3,5,2,1,6,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [8,6,3,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [3,7,5,2,4,1,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [8,3,7,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [8,2,4,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,4,5,7,3,1,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>5 [8,2,4,6,5,3,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [8,2,5,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [8,6,3,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [8,6,1,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [8,1,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [5,7,4,3,2,1,8,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [8,5,7,4,3,2,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [4,6,8,3,2,7,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,7,6,3,2,8,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [1,4,6,7,3,2,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [5,4,7,3,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [1,7,4,5,3,2,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [3,7,5,1,4,2,8,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [5,7,4,2,1,3,8,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [8,5,7,4,2,1,6,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [8,3,7,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,4,1,7,5,3,6,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [4,6,3,8,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [1,7,4,8,6,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,4,7,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [3,6,5,8,7,4,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [3,1,5,8,6,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [4,8,1,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [3,6,4,1,8,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [8,2,6,1,4,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [2,7,6,8,1,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [3,7,1,6,4,8,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [1,7,3,5,6,8,2,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,3,6,7,5,8,2,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [3,7,6,5,8,2,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [3,6,8,5,7,2,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [2,3,5,7,6,8,1,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [2,1,6,5,7,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [4,2,7,6,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [4,2,6,8,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [3,8,2,4,6,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,7,2,6,4,8,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [3,2,6,1,4,7,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [5,3,7,2,1,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [4,7,3,2,1,5,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [8,7,6,1,3,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [8,5,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [8,3,6,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,7,8,6,2,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [8,7,6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [2,7,4,8,1,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [4,6,8,2,1,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [8,4,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [8,5,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,5,7,2,1,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,2,6,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [8,3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [4,6,1,8,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [8,1,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [8,2,6,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [2,1,7,8,5,6,4,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [8,2,5,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [2,7,6,8,5,4,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [1,7,2,5,8,6,4,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [1,7,4,8,2,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [3,7,8,1,6,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [2,7,8,6,1,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [8,7,6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [8,4,7,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [8,7,1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [8,1,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [6,5,3,1,2,4,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [4,6,3,5,1,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>4 [8,5,3,7,2,1,4,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [6,8,1,4,5,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [8,7,2,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [3,6,2,4,5,1,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,6,1,4,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [6,1,2,4,5,3,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [5,6,3,2,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,4,3,6,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [6,3,1,4,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [3,1,6,4,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [8,3,7,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [5,8,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [2,8,7,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [8,1,7,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [3,7,8,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [2,1,8,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [2,1,6,8,5,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [5,6,3,8,1,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [7,6,1,4,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [3,7,6,4,5,8,2,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [8,5,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [5,1,8,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [2,5,8,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [2,4,8,3,5,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,1,8,3,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>5 [3,8,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [8,4,1,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [7,5,8,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [6,5,3,8,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [2,1,5,8,4,6,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,1,4,8,3,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [6,4,3,8,2,1,7,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [7,3,8,4,2,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [8,3,1,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [3,1,8,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [2,3,8,1,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [4,3,8,2,5,6,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,8,2,3,5,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,8,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [2,8,1,3,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [8,1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>6 [7,8,2,4,3,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [6,8,3,2,4,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [2,1,8,3,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,1,7,8,5,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [5,7,3,8,1,4,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [7,1,8,4,5,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [2,7,8,4,5,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [8,7,1,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [3,8,7,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [5,7,8,4,3,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [5,6,3,8,4,2,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [4,8,3,6,2,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [8,6,3,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [7,5,3,8,2,4,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [2,4,3,1,8,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,1,3,2,6,8,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [7,5,3,6,2,8,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [8,6,3,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [5,8,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [4,5,3,8,6,2,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,5,8,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [5,8,2,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [8,7,5,4,1,6,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [2,7,6,4,5,8,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [7,1,6,4,5,8,2,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [5,7,3,6,1,8,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [2,1,7,6,5,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [2,1,8,5,3,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [6,8,3,5,2,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [7,8,5,4,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [8,1,4,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [2,8,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [4,8,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [3,4,8,1,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [3,4,2,8,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,4,1,8,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [4,1,2,8,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [8,4,2,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [7,5,2,4,8,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [6,5,3,2,8,1,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [2,1,5,3,8,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [6,4,3,5,8,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [7,3,5,4,8,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [8,3,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [4,3,1,8,5,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [3,1,4,8,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [6,5,3,7,2,8,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [6,3,7,4,5,8,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [6,7,2,4,5,8,3,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [5,1,7,4,8,6,3,2]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [2,5,7,4,8,6,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [5,6,3,7,1,8,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [3,8,7,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [3,7,5,4,8,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [5,7,1,4,8,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [5,6,3,1,8,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [4,6,3,5,8,2,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,6,3,8,1,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [3,7,8,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [3,2,5,1,6,8,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,6,2,5,4,8,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [3,5,2,4,7,1,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,8,2,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [4,2,5,8,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [4,2,6,5,3,8,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [5,4,2,1,6,8,3,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [6,3,5,1,4,8,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [4,6,1,5,3,8,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [5,1,6,4,3,8,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [5,4,3,2,7,1,8,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [5,4,3,8,2,7,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [4,3,6,2,8,7,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,3,7,6,2,1,8,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [6,4,3,1,7,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [7,5,4,3,1,8,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [1,4,7,5,8,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,1,3,5,8,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,2,5,8,4,1,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [2,8,5,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [3,5,8,7,1,4,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [1,4,5,8,7,3,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [1,5,4,8,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,4,3,8,1,7,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [4,3,7,1,8,6,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [4,8,3,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [5,3,8,7,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [7,5,3,1,8,6,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [1,8,6,5,3,7,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [1,5,8,6,3,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [4,6,1,8,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [6,8,7,3,1,4,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [6,2,8,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [7,6,2,8,4,1,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,3,1,6,8,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [1,7,6,4,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [5,7,1,6,3,2,8,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [6,1,7,5,3,2,8,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [7,6,5,3,2,1,8,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [6,5,3,2,8,7,4,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [5,2,6,3,8,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [5,2,7,6,3,1,8,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [6,5,2,1,7,3,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [5,2,7,4,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [4,7,2,6,3,1,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [2,4,8,6,3,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [3,8,6,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [7,3,6,2,4,1,8,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [3,6,7,2,1,4,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [4,3,7,8,2,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [8,3,7,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [3,8,2,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [8,3,6,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [7,8,3,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>3 [8,7,3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [4,7,8,2,1,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [4,2,6,8,1,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [5,4,8,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [4,8,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [5,8,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [5,8,7,2,6,1,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,6,2,7,5,1,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [3,6,8,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [5,1,6,8,2,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [6,5,2,8,1,7,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [5,2,7,1,8,6,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [5,8,2,7,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [6,2,8,7,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [7,6,2,1,8,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [6,1,7,2,8,5,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [7,5,1,8,2,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [4,7,1,8,6,2,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [7,8,3,1,6,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [8,7,4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [8,5,7,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [6,8,1,7,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [7,1,8,6,5,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [5,4,2,3,7,6,1,8]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [6,4,2,7,3,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [7,4,2,6,3,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [8,4,2,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [3,2,7,6,4,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [4,7,2,6,3,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [5,7,6,2,3,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [1,6,5,2,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,7,5,2,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [6,8,5,2,3,1,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [5,8,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [4,8,2,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [3,2,8,6,4,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,2,1,6,4,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [7,1,5,2,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,8,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,8,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [8,1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [7,1,6,8,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [3,2,1,7,8,4,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,2,8,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [5,8,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [1,7,6,8,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [6,5,8,2,3,1,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [8,5,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [6,4,2,8,3,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [5,4,2,3,8,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [3,2,5,4,1,8,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [4,5,2,3,1,8,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [5,4,2,3,1,8,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [6,4,2,1,3,8,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [7,4,2,1,8,3,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [8,4,2,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [1,4,2,8,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,5,8,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [8,5,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [7,5,1,2,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [6,5,1,2,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [4,6,2,1,3,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [3,2,6,1,4,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,2,7,1,8,4,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [4,7,2,1,8,3,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [7,6,1,8,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [8,6,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,6,8,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,7,8,6,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [7,8,1,6,2,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [6,8,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [4,8,2,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [3,2,8,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,2,1,8,7,4,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [5,1,8,2,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [6,1,8,7,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [8,1,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,8,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [6,3,5,1,2,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [4,3,5,6,1,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [8,3,7,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [6,3,7,5,1,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,5,2,7,1,8,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [8,5,2,7,4,1,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [2,6,1,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [6,4,3,5,1,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [5,3,1,4,6,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [3,1,4,6,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [5,7,4,6,2,8,3,1]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [8,1,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [3,4,7,8,5,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [2,1,8,5,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [8,6,3,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [5,8,2,4,6,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [3,4,8,6,5,7,1,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [7,5,4,8,1,6,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [5,1,4,6,8,2,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [2,5,4,6,7,1,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,4,6,3,7,5,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>5 [4,1,6,3,8,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [3,7,4,2,8,6,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,4,1,3,5,8,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [6,5,8,4,1,7,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [8,5,3,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [2,1,4,8,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [7,4,3,8,2,1,6,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [6,3,7,4,1,8,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [8,3,1,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,1,8,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [2,3,8,1,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [4,3,7,2,6,8,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,7,2,3,8,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>5 [3,8,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [2,8,1,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,7,8,5,4,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [8,7,1,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [3,8,6,7,2,4,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [5,3,8,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [4,3,8,7,2,1,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [8,3,6,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [7,3,5,8,2,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [2,3,4,1,8,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [4,1,3,2,6,7,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [8,3,5,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [5,3,6,1,8,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [5,6,2,8,7,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [7,8,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [2,8,6,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [8,1,6,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [5,8,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [2,1,8,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [2,1,7,5,3,6,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [6,7,3,5,2,1,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [7,1,4,2,5,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [2,7,4,1,6,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [4,6,1,2,8,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [2,4,1,5,8,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [4,1,2,5,8,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [6,4,2,1,5,8,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [8,5,2,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [7,5,3,2,6,8,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [2,1,5,3,6,8,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [7,3,5,4,6,1,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [6,3,4,1,5,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [4,3,1,5,7,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [3,1,4,5,6,8,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [4,5,2,6,3,1,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [6,5,2,1,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [6,5,2,7,4,8,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [8,5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [8,3,7,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [6,3,7,5,2,8,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [3,1,6,5,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [5,6,3,2,4,1,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [3,6,2,4,1,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,6,1,3,5,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [6,7,2,3,4,8,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>6 [8,7,2,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [5,1,7,3,8,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>5 [2,5,7,3,8,6,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [7,6,1,3,5,8,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [3,6,7,4,1,8,5,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [5,6,3,7,4,8,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [2,1,6,7,4,8,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>5 [2,1,8,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [5,8,3,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [3,8,7,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [7,8,1,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [5,8,7,3,2,6,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [2,8,6,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,1,6,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [2,8,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [4,8,1,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [3,8,4,2,5,7,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [6,8,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [2,1,5,3,8,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [6,5,3,2,8,7,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [7,5,2,4,8,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [3,4,2,8,5,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [2,4,1,8,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,4,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [4,3,1,8,6,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [3,1,4,8,6,5,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [7,1,6,5,4,8,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [3,7,5,6,8,4,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [5,7,1,6,8,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [8,6,2,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [5,6,2,1,8,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [4,6,2,5,8,3,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [7,5,2,6,3,8,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [4,1,2,3,6,8,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [2,4,3,1,8,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [7,5,2,8,3,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [5,6,2,8,4,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [4,7,2,8,1,5,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [8,7,2,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [3,6,8,7,1,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [5,7,8,6,3,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,1,8,5,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [2,7,8,4,5,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [5,7,3,8,1,4,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [2,1,7,8,5,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [2,1,5,8,4,6,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [6,5,3,8,4,1,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [7,5,8,4,3,6,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [2,4,8,3,5,6,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,1,8,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [3,4,8,1,7,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [8,4,1,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [3,1,8,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [2,3,8,1,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [4,3,8,2,5,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [6,3,8,4,2,5,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [7,4,3,8,2,5,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [2,1,4,8,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [6,8,2,4,3,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [4,8,2,3,5,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,8,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [2,8,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,8,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,8,4,1,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,8,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,8,5,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [7,5,8,6,1,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [3,5,7,6,1,4,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,5,7,2,4,1,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [7,5,8,2,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [2,8,5,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [2,8,5,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [2,8,5,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [2,8,7,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,8,5,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [2,8,5,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,8,5,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [2,8,5,3,4,6,1,7]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [2,8,5,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [3,5,7,2,4,6,1,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [6,5,2,7,3,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [6,5,2,8,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,5,2,8,3,1,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [7,5,8,2,4,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,5,8,6,1,4,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [6,5,8,2,1,3,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [3,5,6,2,1,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,5,7,6,1,4,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,5,7,2,4,1,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,7,2,4,6,8,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [6,5,2,7,3,1,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [4,5,2,6,3,1,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,1,2,3,7,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [6,5,2,7,3,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [5,1,6,7,4,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,1,2,6,4,8,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>5 [5,1,2,8,6,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [5,1,6,8,7,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [6,5,2,8,3,7,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [4,1,2,3,8,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [4,1,2,3,8,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [4,1,2,3,8,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [4,1,2,3,7,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [4,1,2,3,8,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [7,1,6,8,4,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [6,1,2,8,4,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>5 [5,6,8,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [6,5,8,2,4,3,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [6,5,8,2,4,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [7,5,2,8,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [6,5,2,8,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,5,2,7,3,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [5,1,6,7,4,3,2,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,1,6,8,7,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [7,1,6,8,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [5,7,8,6,3,4,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [4,1,8,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,1,8,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [3,1,4,8,6,2,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [3,1,4,8,6,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [7,1,6,5,8,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [4,1,6,7,8,3,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,1,6,5,7,3,2,8]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [4,5,2,6,3,7,1,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,5,2,7,3,8,1,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [3,5,6,2,4,8,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,5,6,2,4,8,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,7,5,6,8,4,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,6,5,2,8,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,1,2,5,8,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [7,1,6,5,8,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [7,5,2,6,3,8,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [4,1,2,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [4,1,2,3,7,8,6,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [4,5,2,7,3,8,6,1]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,1,6,7,8,3,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,1,2,6,8,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>5 [4,1,2,5,6,8,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [4,5,2,6,3,7,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [7,8,5,6,1,4,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [7,8,4,2,1,5,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [7,8,2,1,6,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [6,4,1,2,5,7,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [2,4,8,1,5,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [4,3,8,1,7,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [7,8,3,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [7,8,3,5,4,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [7,8,3,6,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [7,8,2,6,4,1,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,8,1,6,5,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [2,1,8,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [1,3,8,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [5,3,7,1,6,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,3,6,2,7,4,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [6,1,2,5,8,7,4,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [6,3,1,8,4,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [6,4,2,1,5,3,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [6,4,3,7,5,8,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [4,3,8,7,5,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [2,4,7,1,5,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [1,3,7,6,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [3,7,2,8,6,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [3,8,1,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [1,8,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [2,7,5,8,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [1,5,6,8,2,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>5 [5,6,7,3,8,4,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [4,5,6,7,2,8,1,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,5,7,6,1,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [1,5,8,6,2,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,6,5,8,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [4,6,5,7,1,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [4,7,5,6,3,1,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [5,1,6,3,4,2,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [5,7,6,4,3,8,1,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [6,3,4,5,8,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [6,2,4,1,8,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [5,1,4,2,7,6,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [1,6,2,4,7,8,3,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [5,7,2,4,1,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>4 [6,7,5,8,1,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [5,8,7,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [5,8,7,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [4,8,2,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,2,7,8,1,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [2,1,8,7,6,5,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [4,8,6,3,5,7,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [3,8,6,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [5,3,7,8,2,1,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,2,8,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [1,6,8,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [3,6,7,8,5,1,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [3,7,8,5,1,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [4,1,8,6,2,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [3,8,7,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [2,8,7,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [2,8,6,7,5,1,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [2,7,8,6,5,4,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [6,4,2,7,1,3,8,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [7,4,2,5,1,3,8,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [8,5,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [7,3,6,2,4,8,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [4,3,7,1,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [5,3,6,7,1,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [6,3,7,4,1,2,8,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [4,7,1,5,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [3,7,5,1,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [7,6,4,2,3,8,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [8,6,4,2,3,7,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [4,7,6,3,8,1,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [5,7,4,2,3,8,1,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [3,7,6,1,4,8,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [6,4,7,5,2,8,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [7,4,8,5,2,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [5,8,2,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [3,8,6,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [4,8,6,2,7,1,3,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [2,6,5,8,1,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,5,7,4,8,1,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [5,4,6,7,2,8,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [3,5,7,1,4,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [5,3,7,2,4,8,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,4,7,3,8,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [7,4,6,3,8,1,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [8,4,6,3,7,1,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [8,4,1,6,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [7,4,1,6,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [6,5,3,7,1,8,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,5,1,2,7,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [5,3,6,4,7,8,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [6,3,7,4,8,5,1,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [4,7,1,5,8,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [7,5,1,2,8,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [7,6,1,8,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [8,6,1,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [5,7,2,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [6,3,7,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [3,6,8,2,7,1,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [2,4,8,7,1,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [4,3,8,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [5,3,8,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [8,3,7,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,4,7,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [3,5,8,7,1,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [2,5,8,7,1,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [6,8,4,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [5,8,7,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [2,8,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [3,8,7,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [4,8,7,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [5,6,3,1,4,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [7,5,3,8,2,1,6,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [3,8,7,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [2,1,7,8,5,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [5,7,3,8,1,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [8,7,1,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [2,7,8,4,1,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,1,8,4,2,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,5,1,4,8,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,5,3,1,8,4,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [8,6,3,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,7,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [2,3,4,5,6,7,8,1,9]=>[[1,3,4,5,6,7,8,9],[2]]=>8 [2,4,5,6,7,8,9,1,3]=>[[1,3,5,6,7,8,9],[2,4]]=>7 [3,4,5,6,7,8,9,1,2]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [2,3,4,5,6,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>9 [2,3,4,5,6,7,8,9,1,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>9 [2,3,4,5,6,7,1,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>8 [2,4,5,6,7,8,9,10,1,3]=>[[1,3,5,6,7,8,9,10],[2,4]]=>8 [3,4,5,6,7,8,9,10,1,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [3,6,4,5,7,2,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [5,3,2,7,4,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [7,5,3,6,2,4,8,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [8,5,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,2,6,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,2,6,3,4,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [6,2,7,3,4,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>6 [5,4,7,6,2,3,8,1]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [6,7,3,5,2,4,8,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [3,7,6,2,4,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [2,7,6,3,4,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [8,6,5,2,3,7,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,5,2,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [7,5,2,1,8,3,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [1,6,3,2,8,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [5,6,2,3,1,8,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [5,4,8,6,2,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [6,8,3,5,2,7,1,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [7,8,5,2,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [6,8,2,1,7,3,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [1,8,6,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,8,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [2,8,1,7,3,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [3,8,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [4,8,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,2,8,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [8,1,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [3,6,2,7,1,8,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [6,3,7,1,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [7,2,6,1,8,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [3,2,1,5,8,4,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [4,3,5,1,6,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [5,4,6,3,8,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [3,6,4,5,8,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [6,5,3,4,8,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [5,3,2,8,7,1,4,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [5,3,1,8,7,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [8,5,3,7,6,1,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [6,1,8,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [6,3,8,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [7,6,8,2,3,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [3,7,8,2,4,6,1,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [6,7,3,8,2,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [5,4,7,8,2,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [4,2,5,8,7,1,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [2,3,8,7,1,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [7,2,8,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [2,1,8,7,3,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [8,2,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [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]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,7,8,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [4,1,5,8,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [5,4,8,7,6,1,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [6,8,3,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [7,8,6,2,5,1,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [8,1,6,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [8,1,6,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [8,1,5,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [7,5,1,3,6,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [7,5,8,3,6,2,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [7,4,8,3,2,6,5,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [7,4,1,3,2,6,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [8,1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,1,4,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [8,1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [8,1,5,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,1,5,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,1,4,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [8,1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [7,4,1,3,2,5,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [7,4,8,3,2,5,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [6,4,3,8,2,5,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [6,4,3,1,2,5,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [7,4,1,3,2,5,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,4,1,3,2,6,8,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [7,5,1,3,6,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [7,5,1,4,6,8,2,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [7,5,8,3,6,2,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [7,4,8,3,2,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [7,4,8,3,2,5,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [6,4,3,8,2,5,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [6,4,3,7,2,5,8,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [5,4,3,2,8,6,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,4,3,2,8,7,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [6,5,3,8,7,2,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [6,5,4,8,7,1,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,5,4,1,7,8,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [6,5,3,1,7,2,8,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,4,3,1,2,7,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [5,4,3,2,1,8,6,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [6,5,3,1,8,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [6,5,4,1,8,7,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [7,5,1,4,8,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,4,1,3,2,8,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [7,4,1,3,2,8,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [6,4,3,1,2,8,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,4,3,1,2,7,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [6,4,3,8,2,7,5,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [6,5,3,8,7,2,4,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [6,5,3,1,7,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [6,5,3,1,8,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [7,5,1,3,8,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,6,1,8,3,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,6,1,8,4,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,6,8,1,4,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,6,8,1,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [6,5,3,7,8,2,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [6,4,3,7,2,8,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,4,3,7,2,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,4,8,3,2,1,5,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [7,4,8,3,2,1,6,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [7,5,8,3,1,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,5,8,4,1,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [6,5,4,8,1,7,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,5,3,8,1,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [5,4,3,2,8,1,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [6,4,3,7,2,1,8,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,5,3,7,1,2,8,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,5,4,7,1,8,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [6,5,3,7,8,2,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [6,4,3,7,2,8,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [5,4,3,2,7,8,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [5,4,3,2,6,8,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,6,2,1,3,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [7,6,1,2,5,8,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [2,1,7,8,4,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [7,8,1,2,5,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [8,4,1,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [6,5,2,1,8,7,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [4,7,2,8,1,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [3,4,7,1,8,2,6,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [1,8,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>6 [1,7,2,4,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>6 [1,6,2,4,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>6 [1,5,2,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6 [1,6,2,5,3,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>6 [1,7,2,5,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,8,2,5,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [1,8,2,6,3,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [1,7,2,6,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,8,2,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [1,7,2,8,3,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,6,2,8,3,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,5,2,8,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,4,2,8,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,3,2,8,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,2,3,8,4,6,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [1,2,3,7,4,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,3,2,7,4,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,4,2,7,3,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,5,2,7,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,6,2,7,3,5,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,7,2,6,3,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [1,8,2,6,3,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [1,8,2,5,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,7,2,5,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,6,2,5,3,7,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,5,2,4,3,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,6,2,4,3,7,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,7,2,4,3,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,8,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,8,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [1,7,2,3,4,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,8,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [1,8,2,4,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,7,2,4,3,8,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,6,2,4,3,8,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [1,5,2,4,3,8,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,6,2,5,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,7,2,5,3,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,8,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,8,2,6,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,7,2,6,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,2,3,8,4,7,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [1,3,2,8,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,4,2,8,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,5,2,8,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,6,2,8,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,7,2,8,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,8,2,7,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [4,6,3,7,2,5,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,6,3,7,5,2,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,6,3,8,5,1,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,6,3,8,5,1,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>4 [5,6,8,3,4,1,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [5,6,8,3,4,1,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [4,6,2,7,5,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [5,6,7,2,4,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,6,8,4,3,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,6,8,4,3,1,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [5,7,8,4,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [5,7,8,4,1,6,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,7,8,4,1,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [5,6,8,4,2,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,6,8,2,4,1,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [4,6,2,8,5,1,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [3,2,6,8,5,1,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [3,2,6,8,5,1,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [4,6,2,8,5,1,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [5,6,8,2,4,1,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [5,6,8,4,2,1,3,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [5,7,8,4,1,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [5,7,8,4,1,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [5,7,8,4,1,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [6,7,8,1,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,7,8,1,5,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [6,7,8,1,5,3,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,7,8,1,3,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [5,7,8,2,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [4,7,2,8,1,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [3,2,7,8,1,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [3,2,7,8,1,6,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [4,7,2,8,1,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [5,7,8,2,1,6,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [6,7,8,1,3,5,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,7,8,1,5,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,7,8,1,5,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [6,7,8,1,5,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [6,7,8,1,4,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [6,7,8,1,4,5,3,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,7,8,1,4,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,7,8,1,3,4,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>6 [5,7,8,2,1,4,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [4,7,2,8,1,5,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [3,2,7,8,1,5,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,2,6,8,4,1,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [4,6,2,8,3,1,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [5,6,8,3,2,1,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,7,8,3,1,4,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [5,7,8,3,1,6,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,7,8,3,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [4,7,3,8,1,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [4,7,3,8,1,6,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [4,7,3,8,1,5,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,6,3,8,2,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,5,3,2,8,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,5,2,3,8,1,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [3,2,5,4,8,1,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [4,5,3,2,8,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,6,3,8,2,1,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,7,3,8,1,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,7,3,8,1,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [4,7,3,8,1,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [5,7,8,3,1,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [5,7,8,3,1,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [5,7,8,3,1,4,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [5,6,8,3,2,1,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [3,2,7,8,1,5,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [5,7,8,2,1,4,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [6,7,8,1,3,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,7,8,1,4,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,7,8,1,4,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [6,7,8,1,4,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,7,8,1,2,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,7,8,1,2,5,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [6,7,8,1,2,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,7,8,1,3,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [5,7,8,2,1,3,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [3,2,7,8,1,4,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [6,7,8,1,3,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,7,8,1,2,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,7,8,1,2,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [7,2,8,5,1,6,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [1,3,7,5,2,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,3,7,5,4,2,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [7,2,8,5,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [2,8,5,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [2,8,4,5,6,1,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [2,8,6,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [2,8,4,5,3,7,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,8,4,3,5,6,1,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [7,2,8,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [1,6,3,7,5,2,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>5 [6,2,3,8,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [6,3,2,8,5,1,4,7]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [7,4,8,2,5,6,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [7,4,8,5,2,1,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [6,4,8,5,1,3,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,3,7,5,2,1,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [4,3,7,5,1,2,8,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,3,7,1,5,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [3,6,1,7,5,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [3,4,1,2,7,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,4,2,1,7,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,6,5,7,1,4,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [6,5,2,7,4,1,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [3,5,2,6,4,8,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>4 [5,3,1,8,6,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [5,6,1,8,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [6,3,5,8,2,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,5,8,4,2,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [6,2,5,8,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [1,6,5,7,3,4,2,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,5,2,7,4,6,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [5,2,1,8,7,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [7,1,3,8,4,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [2,3,4,8,6,1,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,4,8,6,5,1,7]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [2,7,3,5,8,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [3,2,4,7,8,6,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [1,5,4,6,2,7,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [5,2,4,7,1,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [5,3,6,4,1,8,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [5,3,6,1,4,8,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [7,3,5,6,8,4,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [6,3,5,1,8,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [2,6,1,5,8,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [2,7,6,5,8,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [5,7,1,6,3,8,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [3,2,4,1,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,1,4,2,7,8,6,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [5,1,4,7,2,8,6,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [3,6,4,7,8,2,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [3,1,4,6,8,5,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>5 [6,3,4,5,7,1,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [2,5,4,6,1,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [7,2,1,4,3,6,5,8]=>[[1,3,5,8],[2,4,6],[7]]=>4 [7,3,4,1,2,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>5 [7,4,3,2,1,6,5,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [7,6,3,2,5,4,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [6,7,3,2,5,4,8,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [1,8,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,8,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [7,3,5,1,6,2,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>5 [7,2,1,5,6,3,4,8]=>[[1,3,4,8],[2,5,6],[7]]=>5 [7,2,1,6,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [7,3,6,1,5,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [7,4,6,5,1,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [1,8,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,8,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [6,5,7,4,3,1,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [6,4,7,5,1,3,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,3,7,1,5,4,8,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,2,1,7,5,4,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [3,2,1,8,5,4,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [2,5,8,4,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [2,6,8,4,3,7,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [2,7,8,4,3,6,5,1]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [1,8,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [1,8,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [2,7,8,5,6,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [2,6,8,5,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [2,5,8,6,7,1,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,4,8,6,1,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [3,2,1,8,6,7,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [5,3,7,1,6,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,4,7,6,1,8,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [4,5,7,6,8,1,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [4,6,7,5,8,3,1,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [1,8,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [1,8,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,4,6,7,1,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,3,6,1,7,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,2,1,6,7,8,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [6,2,1,5,7,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [6,3,5,1,7,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [6,4,5,7,1,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [6,5,4,7,2,1,8,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [5,6,4,7,2,8,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [1,8,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [1,8,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [5,7,3,2,6,8,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,6,3,2,7,8,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [6,5,3,2,7,1,8,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [6,4,3,2,1,7,8,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,2,1,4,3,7,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [4,6,3,2,8,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,7,3,2,8,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [1,8,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [1,8,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [3,6,4,8,2,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [3,4,5,8,1,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [4,3,5,1,8,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [4,2,1,5,8,3,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [4,2,1,6,8,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [3,5,6,8,7,1,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [3,6,5,8,7,2,1,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [1,8,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [1,8,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [3,6,7,8,5,4,1,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [3,5,7,8,6,1,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,4,7,8,1,6,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [4,2,1,7,8,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [2,3,8,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [2,4,8,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,1,4,3,6,5,8,7,10,9,12,11]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>6 [6,5,4,3,2,1,12,11,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>2 [7,4,6,1,8,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [8,3,5,1,7,4,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [8,3,4,1,7,5,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [4,8,3,1,7,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [4,6,2,1,7,5,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [1,4,6,2,7,5,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [1,7,5,2,6,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [7,5,2,1,6,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [6,8,4,3,1,7,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [3,6,8,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [3,6,7,5,1,8,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [7,5,6,1,8,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [3,4,6,5,7,1,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [4,7,5,6,1,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [6,7,5,1,8,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [6,8,4,1,7,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [6,7,5,3,1,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [8,4,2,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [1,8,4,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,5,3,2,7,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [5,3,2,1,7,6,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [2,5,3,1,7,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [2,8,4,1,6,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,7,5,1,6,8,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [2,4,6,1,7,5,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [4,7,1,6,5,8,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [4,8,2,6,5,7,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [4,6,1,2,7,5,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [7,5,1,2,6,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [8,4,1,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [5,3,1,2,7,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [1,2,5,3,7,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [4,3,1,2,7,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [3,5,1,2,7,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [6,7,1,5,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [2,7,6,1,5,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [2,3,5,1,7,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [7,6,1,5,8,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [3,6,7,1,5,8,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [7,1,6,5,8,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [7,5,1,6,8,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [8,4,1,6,7,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [5,2,3,1,7,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [3,5,2,1,7,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [1,3,5,2,7,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,7,6,2,5,8,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,6,2,1,5,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [8,3,1,5,7,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [6,2,4,1,7,5,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [6,2,5,1,7,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [7,1,6,4,8,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [8,2,6,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [6,1,5,2,7,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [7,6,2,5,8,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [8,3,5,7,6,2,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [1,8,3,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,5,2,3,7,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [5,2,1,3,7,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [7,5,2,6,8,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [8,4,2,6,7,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [6,1,4,2,7,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [8,2,6,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [3,6,8,2,5,7,1,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [8,3,2,5,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [5,1,3,2,7,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [4,1,3,2,7,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [4,2,1,3,7,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [1,4,2,3,7,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [2,4,1,3,7,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,5,1,3,7,6,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [2,8,3,5,7,6,1,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [6,8,2,3,5,7,1,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [6,7,1,3,5,8,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [8,3,5,7,6,1,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [5,1,2,3,7,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [3,1,2,4,7,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [10,8,9,5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7],[8,9],[10]]=>7 [7,4,8,2,5,9,1,3,6,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>7 [8,1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [8,1,3,5,6,2,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [8,1,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [8,1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [2,7,8,3,4,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>6 [2,6,3,8,4,5,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>5 [6,3,2,1,4,5,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [7,3,1,4,2,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [7,4,1,5,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,7,8,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [3,7,8,5,6,2,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [3,7,8,4,2,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [3,7,8,2,4,5,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,6,2,8,4,5,1,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,3,6,7,4,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>6 [3,5,2,4,8,6,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,5,4,2,8,7,1,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [4,6,5,8,7,1,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [6,4,5,1,7,8,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [7,4,1,2,3,8,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [6,2,4,1,3,7,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>5 [2,6,4,8,3,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [2,6,5,8,7,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,2,5,1,7,3,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>5 [6,5,2,1,8,3,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [2,5,6,7,8,3,4,1]=>[[1,3,4,7,8],[2,6],[5]]=>6 [2,4,6,7,3,8,5,1]=>[[1,3,5,7,8],[2,6],[4]]=>5 [4,2,6,7,3,1,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,7,8,2,3,1,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [4,7,8,3,2,1,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [5,6,4,8,1,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [5,6,3,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [4,2,5,3,7,1,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,3,6,7,2,1,8,5]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,4,6,7,2,8,1,5]=>[[1,4,5,7,8],[2,6],[3]]=>5 [3,4,5,2,7,8,1,6]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,4,2,5,6,8,1,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [5,2,7,8,6,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [5,1,2,7,8,6,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [4,7,1,8,6,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [4,7,1,2,8,6,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [4,6,8,1,2,7,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [6,8,7,1,5,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [6,8,7,3,5,1,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [7,8,1,6,3,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,8,1,3,6,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,8,3,6,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [4,7,2,8,6,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [1,7,3,4,8,6,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [4,2,7,1,8,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [7,8,2,3,6,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [8,5,7,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [8,5,7,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [6,8,2,7,1,3,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [6,8,7,2,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [6,2,4,8,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [1,6,8,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,6,8,3,4,7,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [6,2,4,8,1,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [6,8,7,2,3,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [6,8,2,1,7,3,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [8,5,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,5,7,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [8,7,6,2,1,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,5,7,2,3,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [5,8,4,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [1,8,7,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [1,8,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [8,2,5,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [8,5,2,7,3,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,7,6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [8,7,6,1,2,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,7,6,1,4,2,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,7,6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [5,8,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [1,8,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [1,6,8,4,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [6,8,7,3,2,5,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [6,8,1,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [8,5,7,3,1,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,5,7,1,3,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,5,7,3,1,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [5,8,4,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [5,8,4,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [5,8,4,7,1,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [8,1,2,6,5,7,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [8,2,5,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [4,8,5,7,1,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [4,8,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [4,8,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [8,5,3,1,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,5,3,7,1,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [6,8,1,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [4,6,2,8,1,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [1,6,4,8,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [1,8,7,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [4,8,5,7,2,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [8,5,3,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [8,7,6,3,1,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,7,6,1,3,2,4,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [8,5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [4,8,5,2,7,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [1,8,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [1,8,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [8,2,4,5,7,1,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [6,3,1,5,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [8,3,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,5,4,2,1,7,3,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [8,5,4,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [6,5,4,2,1,3,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [6,5,4,2,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [6,3,2,5,1,4,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [6,5,4,3,1,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [6,5,4,1,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [8,5,4,1,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [8,7,4,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,7,4,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,7,4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [8,5,4,1,3,7,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [8,5,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [8,3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [2,1,8,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,3,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [8,5,4,3,1,7,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [8,5,4,1,3,7,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [8,7,4,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,7,4,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,7,6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [8,7,4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [8,3,2,7,6,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [2,1,8,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,1,8,7,6,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,3,2,7,6,4,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,7,4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [8,7,6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>2 [8,5,4,2,3,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [8,7,4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [8,7,4,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,7,4,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,3,1,7,6,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,3,1,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,3,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [8,3,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [8,3,1,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [8,3,1,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,3,1,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,7,4,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [8,7,4,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [8,5,4,2,3,7,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [8,3,2,5,4,7,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [2,1,8,5,4,7,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [8,3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [8,7,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [8,7,6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [8,7,6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [8,7,6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [8,7,6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>2 [8,7,6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>2 [8,7,4,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [8,3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [2,1,8,7,6,3,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,3,2,7,6,1,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [8,7,6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [8,7,6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [7,3,5,1,8,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [7,3,4,1,8,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [4,5,6,2,1,8,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [1,6,5,2,7,4,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [7,4,3,1,8,6,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>4 [7,6,5,1,8,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [7,6,4,1,8,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [6,4,2,1,8,7,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [1,6,4,2,7,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,5,3,2,7,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [5,3,2,1,8,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [2,5,3,1,7,8,6,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [2,6,4,1,7,8,5,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [2,6,5,1,7,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [4,5,7,1,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [6,5,1,2,8,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [6,4,1,2,8,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [5,3,1,2,8,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [4,3,1,2,8,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [6,1,2,5,8,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [7,1,3,4,8,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,1,5,6,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [2,6,1,5,7,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [7,4,1,6,8,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [5,2,3,1,8,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [3,5,2,1,6,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [1,6,2,5,7,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [6,2,1,5,8,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [7,3,1,5,8,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [6,2,4,1,8,5,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [6,2,5,1,8,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [7,3,1,4,8,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [6,2,1,4,8,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [1,6,2,4,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [5,2,1,3,8,7,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [7,4,1,3,8,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,5,1,3,8,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [3,6,7,1,4,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [7,6,1,4,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [4,2,1,3,8,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [2,6,1,4,7,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [7,1,4,6,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [7,1,3,5,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [6,1,2,4,8,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [5,2,3,1,6,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [7,4,5,2,3,1,8,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [8,6,7,3,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [7,3,5,2,4,1,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [6,3,5,2,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [5,2,4,1,6,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [4,1,6,3,5,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [6,3,4,1,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [5,2,6,3,4,1,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [5,2,7,3,4,1,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [5,2,8,6,7,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [6,2,8,5,7,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,2,7,3,4,1,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [7,3,4,1,5,2,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [4,1,7,3,5,2,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [3,1,7,4,5,2,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [2,1,7,4,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [3,1,8,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [4,1,8,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [8,6,7,3,4,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [8,5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [8,5,6,2,7,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [8,4,7,3,5,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [5,1,8,4,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [4,1,8,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [3,1,8,5,7,4,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [2,1,8,5,7,4,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [2,1,7,4,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [3,1,7,4,6,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [4,1,7,3,6,2,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [5,1,7,3,6,2,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [6,2,7,3,5,1,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [6,2,8,4,7,3,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [8,4,7,3,6,2,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [7,3,6,2,5,1,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [6,2,5,1,7,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [5,2,4,1,7,3,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [6,2,4,1,7,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [8,5,7,3,6,2,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [8,5,7,4,6,2,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [7,4,6,2,3,1,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [6,2,3,1,7,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [5,2,3,1,7,4,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [4,2,3,1,7,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [3,1,4,2,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [6,2,3,1,8,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [8,5,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [7,4,8,5,6,2,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [7,3,8,5,6,2,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [8,5,6,2,4,1,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [5,2,4,1,8,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [4,1,5,2,8,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [3,1,5,2,8,6,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,1,6,3,8,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [3,1,6,2,8,5,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>4 [4,1,6,2,8,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>5 [5,1,6,2,8,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>5 [8,4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [7,3,8,4,6,2,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,2,7,3,8,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>6 [8,4,5,1,6,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,1,8,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [4,1,8,5,6,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [3,1,8,5,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,1,8,5,6,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,1,7,4,8,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>5 [3,1,7,4,8,5,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>6 [4,1,7,3,8,5,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>5 [7,3,8,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [8,4,5,1,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [7,3,6,2,8,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [7,8,5,6,1,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [1,3,8,4,7,2,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,6,1,4,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>6 [4,6,1,2,5,7,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [1,4,8,2,5,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [7,8,2,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [7,8,1,5,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [7,8,2,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [7,8,4,5,3,1,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [1,5,8,4,3,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [5,6,1,4,3,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [2,6,4,8,3,7,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [1,4,6,8,3,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [2,4,8,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [2,5,8,1,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [3,5,8,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [1,6,2,4,7,3,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [7,5,3,6,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [5,7,3,6,1,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,3,6,7,2,1,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [6,1,7,5,2,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [6,3,1,2,4,5,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [1,4,7,2,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [1,6,7,5,8,2,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [3,5,6,7,8,1,4,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [3,6,5,7,8,2,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [5,2,7,6,1,4,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [2,1,6,8,4,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,7,1,8,5,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [3,1,8,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [4,3,7,8,1,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [1,7,3,8,5,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [5,7,8,6,3,2,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [5,7,8,6,1,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [7,6,5,8,1,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [7,1,3,4,8,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [2,6,3,4,5,8,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [7,2,1,4,8,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [5,6,2,7,3,1,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,7,6,4,1,8,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [6,7,1,5,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,1,5,2,8,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [6,7,5,3,8,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [7,1,5,3,4,2,8,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,5,2,4,3,1,6,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [6,8,1,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [7,4,2,6,5,1,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [7,2,3,5,4,1,6,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [6,8,1,2,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [5,8,2,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [2,5,3,6,8,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>5 [2,1,4,7,8,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,5,7,8,1,4,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>4 [3,5,7,4,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [5,2,8,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [5,2,1,8,6,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [4,2,8,5,7,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [1,4,2,7,5,8,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>6 [4,1,8,6,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [5,3,8,7,6,2,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [5,8,4,7,6,2,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [5,8,7,4,3,6,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [6,4,8,3,1,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [5,8,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [5,8,7,4,1,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [6,8,5,3,1,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [4,5,1,2,7,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,5,1,2,6,8,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [3,5,6,1,8,4,7,2]=>[[1,2,6,7],[3,4,8],[5]]=>5 [3,6,2,7,5,1,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>4 [4,2,6,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,5,3,1,7,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>5 [3,5,2,7,8,1,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,1,4,7,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [4,2,5,6,1,8,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,5,3,1,6,8,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [2,1,7,5,8,6,4,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [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]=>[[1,2,3,5],[4,6,8],[7]]=>5 [6,4,1,7,5,2,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>6 [6,1,3,7,5,2,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>5 [3,1,2,6,8,5,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [3,7,1,2,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [1,3,7,2,4,8,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [2,4,1,7,8,6,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [3,4,7,5,1,8,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [2,7,4,1,5,8,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [2,3,7,1,5,8,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>5 [5,2,8,1,3,7,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [2,1,6,8,3,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,6,8,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [2,8,6,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [3,6,4,8,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [6,3,7,4,5,1,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [2,6,3,7,5,8,1,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [5,2,1,7,8,3,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [4,7,2,3,6,8,1,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,2,7,3,6,8,1,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [5,7,4,6,2,8,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,7,3,4,6,1,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [5,3,8,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [8,5,2,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [8,2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [4,2,8,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,4,8,1,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [8,4,1,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,8,3,1,7,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [5,2,8,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [5,8,4,7,3,1,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [4,6,8,3,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [6,3,8,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [6,3,1,8,2,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [5,3,8,1,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [5,7,4,1,6,2,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>5 [8,5,4,1,2,6,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [5,1,8,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,6,2,8,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [6,8,5,3,1,7,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>4 [8,4,5,1,2,6,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,6,3,7,1,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [1,6,3,7,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,3,2,7,8,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [4,5,7,8,3,1,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,7,2,5,8,1,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [8,1,3,4,6,2,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,8,2,4,6,7,1,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,5,6,8,2,7,1,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [2,4,5,6,8,1,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [4,8,3,5,6,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [5,6,2,3,7,8,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,8,7,3,4,1,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [6,8,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [6,8,4,7,1,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [6,8,4,7,2,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [5,4,8,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [5,4,8,7,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [5,3,8,7,6,1,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [4,3,8,7,6,1,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [4,8,3,7,5,1,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [8,3,4,6,5,1,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [3,8,4,7,5,1,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [3,4,8,7,6,1,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [3,5,8,7,6,1,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [4,5,8,7,6,1,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [4,5,8,7,1,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [4,5,8,7,2,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [3,5,8,2,7,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,5,8,1,7,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [2,5,8,1,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [2,5,8,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [2,4,8,7,1,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [2,8,4,7,1,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,2,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [8,1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,8,4,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,4,8,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,5,8,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [1,5,8,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [2,5,8,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [1,4,2,8,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [1,3,8,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,8,3,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,2,3,1,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,8,3,1,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [2,3,8,1,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [3,4,1,8,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [4,3,1,8,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [4,2,1,8,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [3,8,2,1,7,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [8,3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [8,4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [4,2,8,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [5,2,8,7,1,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [5,2,8,1,7,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [5,3,8,1,7,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [5,3,8,2,7,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [6,8,3,2,7,5,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [6,8,3,1,7,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [6,8,2,1,7,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [6,8,2,7,1,5,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [6,8,7,2,1,4,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [8,5,6,1,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [5,8,7,1,2,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [6,8,1,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [6,8,2,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [5,2,8,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [5,1,8,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [5,1,8,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [4,1,8,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [4,8,1,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,4,1,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,3,1,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [3,8,1,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,1,8,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [3,1,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [4,1,3,8,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [3,1,4,8,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [2,1,8,3,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,8,1,3,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [1,8,2,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [1,2,8,3,7,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,4,3,6,8,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [3,1,6,2,5,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [3,5,1,8,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,4,5,2,8,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,4,2,6,5,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [1,5,4,2,6,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [3,1,6,5,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,6,4,2,5,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [1,5,2,6,4,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [1,2,6,5,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,2,5,4,7,3,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [4,1,2,6,3,8,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [7,1,5,4,2,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [1,4,7,5,2,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [7,1,3,5,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [7,2,5,1,8,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [1,4,5,2,8,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,6,4,2,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,4,2,8,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,2,5,3,8,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [1,2,8,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,5,2,8,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,6,4,2,8,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [6,2,1,8,7,3,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [7,6,2,1,8,3,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [7,3,1,6,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,7,6,4,2,8,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,7,5,2,6,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,6,2,7,5,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,2,7,6,5,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,2,6,5,3,8,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [1,5,2,6,3,8,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,5,2,7,6,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,6,5,2,7,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,5,7,4,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [4,1,2,8,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [3,1,8,6,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [4,3,7,1,8,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [8,3,1,6,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [7,1,8,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [1,8,7,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,4,2,8,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,7,4,2,8,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [8,1,5,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,4,8,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [8,5,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,6,2,1,7,3,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [1,8,6,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,8,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,5,2,7,3,8,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,2,8,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [1,2,6,3,8,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,2,7,6,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,6,2,7,3,8,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,7,2,8,5,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [1,7,4,2,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,1,8,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [7,2,1,8,6,3,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [1,8,7,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,4,2,8,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,2,8,7,5,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [1,2,8,6,3,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,2,7,3,8,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [4,1,7,3,6,5,8,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [5,1,8,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,1,7,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [5,7,8,6,2,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [5,7,1,6,2,4,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [6,4,1,5,2,7,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>6 [8,1,4,5,3,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [6,1,4,5,3,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,1,4,5,3,7,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [5,1,7,8,6,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,1,4,8,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [7,1,8,6,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,1,4,5,3,8,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,1,4,5,3,6,8,2]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [8,1,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [7,4,1,5,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6 [6,3,5,7,2,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,3,5,8,2,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,3,5,7,2,1,8,4]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [8,4,5,7,3,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [6,4,5,8,3,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [5,8,7,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [5,4,8,6,3,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,4,1,8,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [5,8,1,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,4,1,5,2,6,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [6,3,5,8,2,1,4,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [2,3,4,1,8,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [8,3,5,6,2,1,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [2,3,8,5,1,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,3,8,6,1,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,8,6,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [8,3,5,7,2,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [2,3,8,5,6,1,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [7,4,5,6,3,1,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [8,4,5,6,3,1,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [7,3,5,6,2,8,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [7,3,5,8,2,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,3,5,6,2,1,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [2,7,6,5,1,3,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,7,6,8,1,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [2,7,6,5,8,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [8,7,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [2,6,4,1,8,5,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [2,6,1,3,8,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,7,1,3,6,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,7,6,8,4,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [2,7,6,1,8,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,7,6,1,4,3,5,8]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [7,3,5,1,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [8,4,1,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [7,8,1,6,3,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,4,1,8,3,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [2,3,8,6,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [2,8,6,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [8,3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [2,3,4,1,8,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,8,6,1,7,3,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,3,8,1,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,3,8,1,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,8,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9]]=>8 [2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>8 [1,2,3,4,5,6,7,8,10,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9 [2,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>9 [9,1,2,3,4,5,6,7,10,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [1,8,2,3,4,5,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [7,1,2,3,4,5,6,9,8]=>[[1,2,3,4,5,6,8],[7,9]]=>7 [8,4,3,6,5,1,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [8,5,6,3,4,1,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [8,6,5,4,3,1,7,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [1,7,6,5,4,2,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,8,6,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,7,5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [7,8,5,4,1,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,8,5,4,2,1,7,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [5,8,6,2,4,1,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [4,8,2,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [3,2,8,6,5,1,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,2,1,7,6,4,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [4,1,3,7,6,2,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>4 [5,1,7,3,6,2,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [6,1,7,5,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [7,1,6,5,2,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [8,1,6,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,2,7,6,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,2,8,3,7,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [8,1,7,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [7,1,8,2,6,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [6,1,8,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [5,1,8,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [4,1,3,8,2,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [3,2,1,8,4,7,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,2,8,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [4,8,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [5,8,7,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [6,8,7,1,3,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [7,8,6,1,5,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [8,7,6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>2 [1,8,7,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [1,7,8,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [8,6,7,1,4,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [7,6,8,1,4,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [6,5,8,3,2,1,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [7,5,8,3,1,4,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [8,5,7,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [1,6,8,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,5,4,8,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [8,4,3,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [7,4,3,8,1,5,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [6,4,3,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [7,4,3,1,2,6,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [8,4,3,1,2,5,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [1,5,4,2,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6 [8,5,1,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [7,5,1,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [6,5,1,4,3,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [5,6,1,3,4,2,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [4,6,2,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>5 [3,2,6,1,5,4,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,2,7,1,4,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [4,7,2,1,3,6,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,7,1,3,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [6,7,1,2,4,5,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [7,6,1,2,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [8,6,1,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,7,2,3,6,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [8,7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [7,8,1,2,3,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [6,8,1,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [5,8,1,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [4,8,2,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [3,2,8,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [4,1,3,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>6 [5,1,2,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6 [6,1,2,3,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>6 [7,1,2,3,4,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [8,1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [6,7,3,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [6,7,4,5,1,8,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [5,4,7,6,8,1,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [5,3,7,8,6,1,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [3,8,4,5,7,1,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,4,8,6,7,1,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [4,5,6,7,1,8,3,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,5,6,2,7,4,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,6,1,7,8,4,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [2,5,6,1,8,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,5,6,8,1,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [8,2,4,5,1,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [1,4,8,6,2,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [1,5,6,8,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,5,6,2,8,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>5 [2,5,6,3,4,7,8,1]=>[[1,3,4,7,8],[2,6],[5]]=>6 [1,4,2,6,8,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>5 [8,1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [8,2,3,1,5,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,8,3,1,5,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,4,1,6,8,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [3,4,1,6,7,8,5,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [4,3,1,7,6,8,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [5,2,7,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [5,3,7,2,6,4,8,1]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [6,7,3,1,5,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,7,2,1,8,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,7,2,8,1,5,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,7,8,2,1,4,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,7,1,2,8,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,7,1,3,4,8,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>6 [5,2,7,3,4,6,8,1]=>[[1,3,4,6,8],[2,7],[5]]=>5 [5,1,7,3,4,8,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>5 [5,1,7,8,2,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [4,1,8,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [3,8,1,2,7,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [4,1,3,7,5,8,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>5 [3,1,4,5,7,8,6,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [2,1,8,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [1,8,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [1,2,8,3,4,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>6 [4,2,1,6,5,8,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [5,2,6,1,4,8,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [5,2,6,4,1,8,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [5,2,7,4,8,1,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [5,2,7,4,8,6,1,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [5,7,2,3,8,6,1,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [5,7,2,3,8,1,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [5,6,2,3,1,8,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [5,6,2,1,3,8,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [5,1,6,4,2,8,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [5,6,1,3,2,8,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [5,6,3,1,2,8,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [5,6,3,2,1,8,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,7,3,2,8,1,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,7,3,2,8,6,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [6,7,3,8,2,1,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,7,3,8,1,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [5,7,3,1,8,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [5,7,1,3,8,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [5,1,7,4,8,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [1,5,7,4,8,3,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [1,5,7,4,8,6,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [5,1,7,4,8,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [5,7,1,3,8,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [5,7,3,1,8,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [6,7,3,8,1,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [6,7,3,8,5,2,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,7,8,3,1,4,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [6,7,1,8,3,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [6,1,7,8,4,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [1,6,7,8,4,5,3,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,6,7,8,4,3,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [6,1,7,8,4,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [6,7,1,8,3,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [5,7,2,1,8,3,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [6,7,2,8,1,3,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,7,2,8,3,1,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,7,2,8,3,5,1,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,2,7,8,4,5,1,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,2,7,8,4,1,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,2,7,8,1,4,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [5,2,7,1,8,4,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [4,2,1,7,8,5,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [4,1,2,7,8,6,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [6,2,7,8,1,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,2,7,8,5,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,2,7,8,5,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,7,2,8,5,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [5,7,2,1,8,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [5,7,1,2,8,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [5,1,7,2,8,6,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [1,5,7,3,8,6,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [1,6,7,8,3,5,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [6,1,7,8,2,5,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [6,7,1,8,2,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,7,8,2,4,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,7,8,2,4,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,7,1,8,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,1,7,8,5,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [1,6,7,8,5,3,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [6,1,7,8,5,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [6,7,1,8,5,3,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,7,8,4,1,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,3,8,5,2,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,3,4,5,8,7,2,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [5,6,1,4,8,7,3,2]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [3,6,4,8,5,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [5,1,4,8,6,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [3,4,7,1,8,6,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [6,3,8,4,2,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [5,3,7,1,6,8,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [4,3,8,5,6,7,2,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,6,1,2,7,8,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [3,6,4,2,8,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [6,3,7,5,2,8,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,5,2,7,4,8,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [5,7,1,4,8,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [7,8,3,5,1,4,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [5,8,1,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [6,5,8,4,3,7,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [6,3,7,4,2,8,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [8,7,1,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [3,8,6,7,1,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [5,3,8,7,4,1,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [4,3,8,7,1,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [8,3,6,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [5,6,1,8,7,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [7,5,3,6,4,2,8,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [6,4,1,5,3,8,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [8,2,6,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,2,6,3,5,4,8,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [6,2,7,4,3,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [3,7,6,4,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [2,7,6,5,3,4,8,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [6,5,4,3,1,8,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [8,6,5,4,2,7,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [1,6,5,3,4,8,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [6,5,8,4,2,7,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [5,8,2,6,4,7,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [7,8,5,3,2,6,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [6,8,3,1,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [1,8,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [8,7,5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [8,7,1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [7,8,1,6,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [2,8,1,7,3,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [4,8,1,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [4,2,8,5,7,3,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [5,1,7,6,8,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [6,7,3,1,8,4,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [1,7,3,8,4,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,7,2,8,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [7,6,1,8,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [8,6,1,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [8,1,2,7,3,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [7,1,2,8,3,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [8,2,6,1,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [4,2,1,5,8,3,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [5,4,3,1,6,8,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [4,7,5,6,8,3,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [6,5,4,8,2,7,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [6,5,1,8,7,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [8,6,4,7,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>3 [5,1,8,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [5,4,8,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [3,6,8,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [4,7,2,8,6,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [2,3,8,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [7,2,8,6,4,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [2,1,8,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,2,7,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [8,1,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [7,1,8,6,5,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [1,2,8,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,3,8,7,4,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [6,8,7,2,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [3,8,7,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [2,8,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [1,8,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [5,8,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [4,8,6,7,3,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [3,8,6,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [2,8,6,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [1,8,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [1,8,5,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [3,8,5,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [4,8,5,7,3,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [7,8,3,6,4,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [6,8,3,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [5,8,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [3,7,4,8,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [4,7,3,8,5,6,1,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,7,2,8,5,6,1,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [4,7,1,8,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [3,7,1,8,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [3,7,2,8,5,6,1,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [2,7,3,8,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [2,7,4,8,5,6,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [5,8,2,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [6,8,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [7,8,2,6,4,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,8,1,6,4,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [6,8,1,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [5,8,1,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [1,7,4,8,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [1,7,3,8,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [2,8,5,6,1,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [1,8,5,6,2,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,7,3,8,4,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [4,8,1,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [5,8,1,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [6,8,1,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [7,8,2,6,3,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [6,8,2,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [5,8,2,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [4,8,2,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,7,3,8,4,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [3,7,2,8,4,6,1,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [3,7,1,8,4,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [1,8,4,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [2,8,4,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [3,8,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [4,8,5,7,2,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [3,8,5,7,2,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [2,8,5,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [1,8,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [1,8,6,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [2,8,6,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [3,8,6,7,2,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [4,8,6,7,2,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [5,8,6,7,2,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [6,8,5,7,1,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [5,8,6,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [4,8,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [3,8,6,7,1,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [1,5,2,8,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [2,5,1,8,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,6,1,8,5,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [1,6,2,8,5,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [3,8,5,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [6,8,4,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [7,8,4,6,1,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,8,3,6,1,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [6,8,3,7,1,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [4,8,3,7,1,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [3,8,4,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [1,6,2,8,4,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [2,6,1,8,4,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [3,7,2,6,1,8,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [3,7,1,6,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [4,8,1,6,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [5,8,1,6,2,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [7,8,1,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [7,8,2,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [6,8,2,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [5,8,2,6,1,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [4,8,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [1,7,3,6,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [2,7,3,6,1,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]=>9 [1,3,4,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8,9],[3]]=>8 [1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]]=>10 [1,2,3,4,5,6,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [1,2,3,4,5,6,7,9,10,8]=>[[1,2,3,4,5,6,7,8,10],[9]]=>9 [1,2,3,4,5,6,8,9,10,7]=>[[1,2,3,4,5,6,7,9,10],[8]]=>9 [1,2,3,4,5,7,8,9,10,6]=>[[1,2,3,4,5,6,8,9,10],[7]]=>9 [1,2,3,4,6,7,8,9,10,5]=>[[1,2,3,4,5,7,8,9,10],[6]]=>9 [1,2,3,5,6,7,8,9,10,4]=>[[1,2,3,4,6,7,8,9,10],[5]]=>9 [1,4,3,5,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3],[4]]=>7 [1,2,4,5,6,7,8,9,10,3]=>[[1,2,3,5,6,7,8,9,10],[4]]=>9 [3,2,4,5,6,7,8,9,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [1,3,4,5,6,7,8,9,10,2]=>[[1,2,4,5,6,7,8,9,10],[3]]=>9 [6,7,4,8,3,5,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,7,4,5,2,8,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [5,7,4,6,2,3,1,8]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,7,4,6,3,8,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,7,4,8,3,6,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [6,8,4,5,3,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [5,8,4,6,3,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,6,4,8,3,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,6,3,7,2,4,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,6,3,7,2,8,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,6,3,8,2,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,6,4,8,2,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,8,4,6,2,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [6,8,4,5,2,7,1,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [7,8,4,5,2,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [6,8,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [5,8,4,6,2,3,1,7]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,6,4,8,2,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [5,6,3,8,2,4,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,6,3,4,2,8,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [4,6,3,5,2,7,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,6,3,5,2,8,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,6,3,8,2,5,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,8,3,6,2,5,1,7]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [5,8,3,6,2,4,1,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [6,8,3,5,2,4,1,7]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [7,8,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,8,3,5,2,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [5,8,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [4,8,3,6,2,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,6,3,8,2,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,6,3,7,2,8,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,7,3,6,2,5,1,8]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,7,3,6,2,8,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,7,3,8,2,6,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [5,7,4,8,2,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,7,3,6,2,8,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,7,3,6,2,4,1,8]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [6,7,3,5,2,4,1,8]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,7,3,5,2,8,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,7,4,8,2,5,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,7,5,8,2,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,8,5,7,2,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,7,4,8,2,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,7,3,8,2,4,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [6,7,3,4,2,8,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [5,7,3,4,2,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,7,3,4,2,8,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,7,4,8,2,3,1,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [5,8,4,7,2,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [6,8,4,7,2,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [7,8,4,6,2,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [7,8,3,6,2,4,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,8,3,7,2,4,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [5,8,3,7,2,4,1,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [4,8,3,7,2,5,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,7,3,8,2,5,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,7,3,5,2,8,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,7,3,5,2,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,5,3,7,2,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,5,3,7,2,8,1,6]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,5,3,8,2,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,8,3,5,2,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [5,8,3,4,2,7,1,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [6,8,3,4,2,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [7,8,3,4,2,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,8,3,4,2,5,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [5,8,3,4,2,6,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,8,3,5,2,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,5,3,8,2,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,5,3,6,2,8,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,7,5,2,1,8,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [4,8,5,2,1,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [4,6,5,2,1,3,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [5,6,4,2,3,1,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [6,4,5,3,1,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [5,4,6,1,3,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [4,6,8,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [4,7,8,1,6,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [7,4,8,1,6,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [5,4,8,1,3,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [8,4,5,3,1,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [5,4,7,1,3,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [6,4,8,1,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [5,6,8,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [8,5,7,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [8,4,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [6,3,2,8,7,4,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [2,1,6,8,7,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [2,1,7,8,6,4,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [7,3,2,8,6,4,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,6,8,5,2,4,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [5,7,8,6,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [5,8,7,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [6,8,7,5,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [5,8,4,2,3,7,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [7,8,4,2,6,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [4,8,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [4,8,6,2,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [3,6,1,8,7,4,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [3,7,1,8,6,4,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [3,8,1,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [3,7,1,6,8,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [4,7,6,2,8,1,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [6,7,4,2,8,1,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,8,4,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [2,1,8,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [8,3,2,6,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [8,6,4,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [5,8,6,7,3,1,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [6,7,5,8,1,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [7,6,5,8,1,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [8,6,5,7,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [7,6,4,3,8,1,5,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [7,3,2,6,8,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [2,1,7,6,8,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [7,5,6,8,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,5,7,8,1,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [8,1,3,7,4,6,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [5,2,8,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [1,6,2,5,4,7,3,8]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [6,2,7,5,4,8,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [8,1,3,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [6,1,5,4,3,8,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [6,1,8,3,4,5,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>5 [7,1,5,3,4,8,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,1,4,3,5,6,8,2]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [8,1,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,7,2,4,5,6,3,8]=>[[1,2,3,5,6,8],[4],[7]]=>6 [6,3,2,7,5,1,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [8,4,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [6,5,8,2,4,7,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [8,5,2,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [6,5,2,8,4,1,3,7]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [5,6,2,1,4,8,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [3,6,1,8,5,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,2,6,3,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>6 [3,4,1,2,8,6,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [4,3,1,2,6,8,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [5,8,1,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [6,3,8,5,2,1,4,7]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [8,3,1,5,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [3,8,2,6,1,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,8,6,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [8,5,6,4,2,1,7,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [7,2,5,8,3,1,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [1,7,5,6,3,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [6,1,2,3,8,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>5 [7,1,2,3,6,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [7,2,1,3,8,6,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [1,5,7,3,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,2,7,3,1,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [5,8,2,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [8,7,2,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [4,8,1,6,3,2,7,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [3,1,8,6,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [8,1,6,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [3,5,8,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [4,2,1,3,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [2,4,1,3,8,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,5,8,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [8,6,1,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [2,8,1,3,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [6,8,2,3,4,1,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [5,1,8,3,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>1 [8,9,7,6,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>2 [8,7,9,6,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>2 [8,7,6,9,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>2 [8,7,6,5,9,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>2 [8,7,6,5,4,9,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>2 [8,7,6,5,4,3,9,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>2 [8,7,6,5,4,3,2,9,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>2 [8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>2 [9,10,8,7,6,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>2 [7,8,9,6,5,4,3,2,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [9,8,10,7,6,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>2 [9,8,7,10,6,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>2 [9,8,7,6,10,5,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>2 [9,8,7,6,5,10,4,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>2 [9,8,7,6,5,4,10,3,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>2 [9,8,7,6,5,4,3,10,2,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>2 [8,7,6,5,4,3,1,2,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>3 [9,8,7,6,5,4,3,2,10,1]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>2 [9,8,7,6,5,4,3,2,1,10]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>2 [1,4,2,7,8,6,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [1,6,2,4,8,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [1,6,2,4,7,5,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,7,3,8,5,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [1,7,3,2,8,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [4,2,5,7,8,6,1,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [7,2,3,1,8,5,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [8,2,5,1,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [6,2,1,8,3,4,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [6,2,8,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [6,2,4,8,5,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [1,3,6,4,8,5,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>5 [1,3,6,4,7,5,8,2]=>[[1,2,4,5,8],[3,7],[6]]=>6 [6,2,4,7,5,8,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [6,2,1,3,7,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [7,8,2,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [7,6,4,2,3,1,8,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [5,7,2,3,1,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [7,5,4,2,6,8,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [1,7,5,3,4,6,8,2]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [8,2,5,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [5,2,6,3,1,8,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [8,2,6,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [8,2,7,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [1,2,8,4,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>6 [1,7,4,2,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>6 [6,8,4,1,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,8,7,4,3,2,5,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [1,6,3,8,2,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [5,3,8,1,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [5,1,8,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [5,7,3,1,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [1,7,5,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [1,5,8,2,4,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,5,8,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,4,6,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [5,3,1,6,7,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,3,6,1,2,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [1,6,3,2,7,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,7,4,5,3,8,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [6,3,4,1,2,5,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [6,3,1,4,2,7,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>6 [1,8,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [8,6,3,2,4,1,7,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [8,5,3,2,6,7,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [4,5,2,6,8,1,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,2,5,6,7,8,1,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [5,2,3,6,7,1,8,4]=>[[1,3,4,7,8],[2,6],[5]]=>6 [6,2,3,4,1,7,8,5]=>[[1,3,4,5,8],[2,7],[6]]=>6 [7,2,3,1,4,5,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [8,6,1,4,3,2,5,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [8,3,1,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [3,7,5,1,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [4,1,5,2,8,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [8,1,2,4,6,5,3,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [8,1,2,5,4,6,3,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [8,2,6,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,3,1,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [8,1,2,5,6,4,3,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [8,1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [1,7,5,4,2,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [5,1,4,8,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,4,6,8,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [1,4,7,6,2,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [5,1,4,7,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [1,7,4,5,2,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [3,7,5,1,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [5,7,2,8,1,3,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [5,2,8,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [4,1,5,8,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,4,6,2,8,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [1,4,2,8,6,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [3,1,2,6,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [2,1,7,6,3,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [3,1,2,7,4,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,4,7,2,6,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [1,2,3,6,8,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>5 [5,1,4,2,7,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [1,4,2,7,6,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [1,4,2,6,8,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [3,1,2,8,4,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,1,2,7,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [5,3,7,1,8,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,7,4,3,2,5,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [4,8,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [1,8,7,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [3,1,7,8,2,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,4,2,7,8,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [5,2,8,1,3,4,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [2,1,8,6,3,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [1,4,2,6,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [1,2,3,7,8,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,2,3,7,5,8,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,4,2,7,3,8,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [3,1,7,2,8,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [2,1,7,8,3,4,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [1,2,3,8,7,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [10,1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9 [10,1,2,3,4,5,6,9,7,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [10,1,2,3,4,5,9,6,7,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [9,1,2,3,4,10,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [10,1,2,3,9,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [10,1,2,9,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [9,1,10,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [10,9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [7,1,2,3,4,5,10,9,6,8]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>7 [4,7,8,5,6,2,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [5,7,8,4,2,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [8,6,3,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [7,6,3,8,2,1,5,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [6,7,8,3,2,1,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [4,7,8,3,2,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [5,7,8,3,2,1,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [8,6,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [2,6,4,7,3,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [8,4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [6,4,3,2,1,7,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,4,3,2,1,8,6,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [6,4,3,2,1,8,7,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [8,5,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,5,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [7,5,3,2,6,1,8,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [2,6,4,7,3,8,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [3,5,4,2,7,8,1,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [7,4,3,2,1,5,8,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [6,4,3,2,1,5,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [5,6,3,4,1,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [8,5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [8,5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [7,5,8,4,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [2,1,7,8,5,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [6,8,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [5,7,3,8,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [3,2,6,4,8,5,1,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,5,2,4,1,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [4,2,5,8,3,1,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [3,1,5,4,2,8,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [4,1,5,8,3,2,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,3,8,5,2,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,3,6,2,5,1,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,6,3,2,5,1,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,3,6,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,6,3,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>5 [5,3,6,4,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [4,3,6,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>5 [6,2,4,1,3,7,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [4,6,3,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>5 [5,6,2,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [4,5,2,7,3,1,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [3,2,6,1,4,7,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,5,2,7,4,6,1,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,7,2,4,8,5,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [7,3,1,4,6,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,2,6,1,5,7,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>4 [6,3,2,1,5,7,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,4,2,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,2,6,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,2,1,7,5,3,6,8]=>[[1,3,6,8],[2,5],[4,7]]=>5 [7,4,1,5,6,2,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6 [7,3,1,5,2,6,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>5 [6,3,5,1,2,7,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>5 [5,2,6,4,1,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>5 [3,6,5,1,2,7,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>5 [6,5,2,1,4,7,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [2,3,1,8,5,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,4,1,5,8,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [3,4,5,1,2,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,4,5,1,8,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,4,5,8,2,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,4,5,2,8,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,4,6,2,1,7,8,5]=>[[1,4,5,7,8],[2,6],[3]]=>5 [3,4,6,2,1,7,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [3,5,6,2,7,1,4,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,6,2,7,1,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,6,2,7,8,1,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [1,8,4,6,3,7,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [3,4,6,8,2,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,4,6,2,8,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,5,6,2,7,8,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,6,2,7,4,1,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [4,5,6,7,2,8,3,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [3,5,6,8,7,2,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [2,5,8,6,7,3,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [2,5,8,6,7,3,1,4]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [3,5,6,8,7,2,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [4,5,6,7,2,1,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [2,3,1,8,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,5,1,6,7,8,4,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,5,1,6,7,4,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,5,1,6,7,4,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [3,5,6,1,7,4,2,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [3,5,6,1,7,4,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [3,4,6,8,1,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [2,4,8,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [3,5,6,8,7,1,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [4,5,6,7,8,1,3,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [4,5,6,7,1,3,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [4,5,6,7,1,3,2,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [4,5,6,7,3,1,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,5,6,8,7,4,1,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [2,5,8,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [1,8,5,6,7,4,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [2,5,8,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [8,2,5,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,2,4,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [5,8,2,4,3,7,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [4,2,5,6,1,8,3,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,2,5,6,1,7,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [6,1,5,7,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [6,1,5,8,3,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [3,8,2,4,7,1,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,6,8,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [4,3,5,6,7,1,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,7,1,5,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [3,7,1,5,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [8,3,2,4,6,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [7,3,2,4,6,1,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [3,2,5,1,7,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,2,5,1,8,4,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,2,5,1,7,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [7,8,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,1,5,7,8,3,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [4,2,5,6,1,7,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [5,7,6,1,8,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [5,8,6,1,7,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [6,1,5,8,7,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [8,7,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [3,2,5,1,8,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [3,2,5,1,6,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,2,4,1,8,7,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,2,5,1,6,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,8,6,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [3,7,6,5,1,8,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [6,5,1,7,8,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [3,2,5,1,6,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,2,4,1,8,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,2,4,1,7,5,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,2,4,1,6,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,2,4,1,8,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [8,3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,2,5,1,8,4,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [3,2,5,1,6,7,4,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [6,5,1,7,4,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [6,5,1,8,4,2,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [8,4,2,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,2,6,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [5,2,6,1,8,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [8,4,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [5,2,6,1,8,4,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [7,4,2,3,8,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [8,5,1,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [7,5,1,6,4,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [3,2,5,1,7,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,2,5,1,8,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [7,3,2,4,8,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [8,6,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [4,2,6,1,8,5,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [8,5,6,1,7,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [3,6,8,5,1,7,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [8,5,1,6,7,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [3,2,5,1,8,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,2,4,1,8,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,4,1,5,8,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,2,5,1,7,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [7,8,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [3,8,5,1,7,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [3,7,5,1,8,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [8,7,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [3,2,5,1,8,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [6,5,7,3,1,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [4,6,3,7,1,8,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,6,3,7,5,1,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,2,6,1,7,5,3,8]=>[[1,3,7,8],[2,5],[4,6]]=>5 [2,5,7,4,1,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>4 [2,5,7,4,1,6,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [5,4,7,3,6,1,8,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,4,7,8,3,1,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [4,3,7,5,1,8,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [6,4,3,8,5,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [5,8,4,3,6,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,4,8,3,6,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,4,3,6,7,1,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [2,5,4,6,1,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [3,2,5,8,1,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [2,5,4,6,8,1,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [5,2,8,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [4,6,2,1,8,5,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [2,4,1,7,5,8,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,4,1,7,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,6,4,1,8,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [5,4,8,2,1,6,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [2,5,8,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [3,2,5,6,1,8,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [4,8,3,2,6,1,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [3,5,2,8,1,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,2,1,6,8,5,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [3,2,7,1,5,4,8,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,2,7,1,5,8,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,8,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [4,8,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,3,8,2,6,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,3,2,6,7,8,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,3,2,6,7,1,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,3,7,2,6,8,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,3,7,8,2,6,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [2,5,7,4,8,1,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [3,2,5,7,8,1,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,2,5,7,1,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,2,5,7,1,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [6,3,2,7,1,5,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,3,2,7,1,5,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,3,2,7,8,1,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [4,2,6,1,7,8,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [6,5,2,1,7,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [2,1,7,5,3,8,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [6,2,1,8,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [6,3,2,7,1,4,8,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [6,3,2,1,4,7,8,5]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [6,3,2,1,4,7,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [3,5,2,1,7,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,2,1,7,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [5,8,4,2,1,7,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [4,6,2,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [2,4,1,7,3,8,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [3,2,7,1,4,8,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [3,5,8,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [4,8,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,3,7,2,8,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,3,7,2,1,5,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,8,3,2,7,1,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [3,5,2,8,1,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [6,3,2,8,1,4,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [3,2,1,4,7,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [5,3,2,1,8,4,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,8,3,2,1,5,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,3,8,2,1,5,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>2 [1,10,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>2 [6,2,3,1,5,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [8,4,5,2,3,1,7,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [8,6,7,2,5,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,2,5,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [6,2,5,3,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [6,1,5,2,4,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [6,4,5,1,3,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [6,1,5,3,4,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [6,3,5,1,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [8,3,5,2,4,1,7,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [8,3,7,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [8,3,7,2,4,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [8,3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [8,1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,4,5,1,3,2,7,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [2,1,8,4,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [8,6,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [8,6,7,1,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [8,6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [8,3,7,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [8,3,7,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,3,7,4,6,1,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,3,7,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,1,7,3,6,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [8,1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [8,4,7,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [2,1,8,4,7,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,1,7,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,1,7,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,3,7,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,3,7,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,2,7,3,6,4,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [8,2,7,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,2,7,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,1,7,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [8,1,3,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [2,1,8,3,7,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,1,5,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [8,2,7,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [8,2,7,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,2,7,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [8,4,7,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [8,4,7,2,3,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,2,3,1,7,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,2,3,1,5,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [4,2,3,1,8,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,1,3,2,8,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [8,6,7,2,3,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [8,2,3,1,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,5,7,2,6,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [8,5,7,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [8,2,7,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,6,7,2,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [8,6,7,1,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [8,6,7,1,3,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [2,1,8,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [2,1,8,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,1,7,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,1,7,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,2,7,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,2,7,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,2,7,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,4,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [8,4,7,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,1,7,4,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,5,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [2,1,8,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,5,7,4,6,1,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [8,5,7,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [8,1,7,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,4,7,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,4,7,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [2,4,8,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [6,5,8,1,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [4,5,8,6,3,2,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [6,5,8,7,3,1,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [1,5,8,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [1,7,2,8,4,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [6,7,2,8,4,1,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [3,6,2,8,4,5,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,6,1,8,4,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,8,4,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [6,3,1,8,4,5,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [3,1,6,8,4,5,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>5 [2,3,6,8,4,5,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>5 [6,3,7,8,4,1,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [1,3,7,8,4,6,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,5,7,8,2,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>5 [5,1,7,8,2,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>5 [3,6,7,8,4,2,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,6,1,8,4,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [5,6,8,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [2,8,3,7,1,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [5,2,8,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [7,2,1,8,4,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [3,2,7,8,4,6,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [5,2,7,8,1,4,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [1,2,7,8,5,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [4,2,1,3,8,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [7,2,5,8,3,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [6,2,8,5,4,3,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [2,8,3,5,4,1,6,7]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [2,8,4,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [6,4,8,5,2,3,1,7]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [7,3,5,8,2,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [4,3,1,2,8,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [3,4,2,1,8,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,7,6,8,4,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [5,7,1,8,3,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>5 [3,7,5,8,1,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [1,7,5,8,3,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,6,8,5,4,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [4,6,8,5,1,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [5,6,8,1,4,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [7,5,8,6,3,4,2,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [2,4,8,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,8,4,1,5,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [4,1,8,3,5,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [5,6,8,4,1,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [4,6,8,1,5,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [1,6,8,4,5,3,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,7,3,8,5,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [3,7,1,8,5,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [2,7,3,8,4,6,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [7,1,3,8,4,6,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [5,7,8,4,3,6,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [2,8,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,8,5,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [6,5,8,4,2,3,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [4,1,3,2,8,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,4,3,2,8,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [7,3,2,8,5,4,6,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [6,4,8,2,5,3,1,7]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [2,8,4,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [2,8,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [6,2,8,4,5,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [7,2,3,8,5,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [4,2,3,1,8,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,2,1,4,8,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [5,1,3,2,4,8,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [2,8,1,5,3,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [1,2,8,4,5,3,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,4,2,8,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,8,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [8,1,5,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [3,8,1,5,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [3,5,1,4,8,2,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [1,5,2,8,4,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,2,8,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [1,2,5,4,3,8,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,2,4,8,5,3,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,2,7,4,8,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,5,2,7,8,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [5,1,2,7,4,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [8,3,5,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [2,8,1,5,4,7,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [1,2,8,5,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,2,4,8,7,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [2,8,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [6,1,2,8,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [6,4,1,2,8,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [3,6,4,8,1,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [7,6,1,4,2,8,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,1,6,2,8,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,6,7,2,8,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,7,1,4,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,3,7,1,4,8,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [3,7,8,1,5,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [7,1,2,8,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,7,2,8,4,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,4,2,7,8,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [6,1,2,8,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [6,4,1,2,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [7,6,1,3,2,4,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,7,1,3,2,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,2,7,3,5,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,2,7,5,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [5,8,1,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [1,2,5,8,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,2,5,8,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [2,8,1,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,6,1,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [4,2,8,1,7,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,8,1,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [7,1,2,8,4,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [1,2,8,4,7,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [1,2,8,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [2,8,1,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,3,7,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,8,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [8,6,1,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,1,6,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,1,2,8,6,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,4,1,2,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [3,7,4,8,1,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [3,4,8,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [4,2,8,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,8,1,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [7,8,3,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [6,7,3,4,1,8,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [5,8,3,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [6,7,3,4,1,5,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>6 [5,7,3,4,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [5,6,2,7,3,4,1,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [4,6,2,8,3,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [4,8,3,5,1,6,2,7]=>[[1,2,6,7],[3,5],[4,8]]=>5 [5,6,2,4,1,7,3,8]=>[[1,3,7,8],[2,4],[5,6]]=>5 [4,5,1,7,3,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,6,2,7,3,8,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [5,6,2,7,3,8,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,6,2,7,4,8,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,6,3,8,4,7,1,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [4,6,2,8,3,7,1,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [3,4,2,5,6,7,8,9,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [3,2,4,5,6,7,8,9,10,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>8 [6,5,3,2,1,4,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [4,6,3,5,2,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [8,7,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [6,8,2,4,5,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [8,7,2,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [3,6,1,4,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [8,3,7,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [6,3,8,4,5,7,2,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [5,8,7,4,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [2,8,7,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,1,7,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,7,3,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [2,1,6,8,5,7,4,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [6,8,3,5,1,7,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [5,1,8,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [2,5,8,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [4,3,8,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [4,8,1,3,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>5 [5,8,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [5,8,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [4,8,3,6,1,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [3,8,7,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [3,8,1,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [8,7,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [8,6,3,1,2,4,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [8,1,7,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [2,8,7,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,7,2,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [5,8,3,6,2,4,7,1]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [8,6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [8,7,3,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [5,8,3,6,2,1,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,8,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [2,6,8,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [6,1,8,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [6,8,3,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [2,1,5,8,3,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [5,8,3,6,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [4,1,8,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [2,4,8,1,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [4,8,2,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [3,4,8,2,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [5,8,1,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [5,8,3,1,6,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [4,5,3,8,6,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [3,4,1,8,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [2,4,6,8,10,1,3,5,7,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5 [2,7,8,9,10,1,3,4,5,6]=>[[1,3,4,5,6],[2,7,8,9,10]]=>8 [5,6,7,8,10,1,2,3,4,9]=>[[1,2,3,4,9],[5,6,7,8,10]]=>8 [2,4,6,8,10,12,1,3,5,7,9,11]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>6 [7,8,9,10,11,12,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>11 [4,5,7,6,2,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [3,5,7,2,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [2,5,7,3,6,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [1,5,7,3,6,8,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [8,4,3,7,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [6,7,2,3,5,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [5,2,7,3,6,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [8,3,4,7,6,1,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,2,4,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [3,1,4,7,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [4,1,3,7,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [5,1,7,3,6,8,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [6,7,1,3,5,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [5,8,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [4,8,3,7,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [3,8,4,7,6,1,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [2,8,4,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [2,8,3,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [3,8,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [6,7,1,2,8,5,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [8,2,3,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [3,4,1,7,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [1,4,2,7,8,6,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [8,4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [8,5,7,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [1,5,7,2,8,6,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [2,5,7,1,8,6,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [3,5,7,1,6,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [6,7,4,5,8,1,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [5,4,7,6,8,1,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [2,5,7,8,1,6,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [1,5,7,8,2,6,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [8,5,7,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,4,1,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [1,4,8,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [3,4,8,7,6,1,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [4,3,8,7,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [5,3,7,8,6,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [6,7,2,8,1,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [5,2,7,8,1,6,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [4,2,8,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [3,2,8,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [1,3,8,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,3,1,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [1,2,8,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [2,1,8,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [4,1,8,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [5,1,7,8,2,6,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,7,1,8,2,5,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [5,8,7,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [4,8,1,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [3,8,1,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [2,8,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [1,8,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [8,1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [3,1,4,5,6,7,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [6,7,1,8,4,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [3,7,1,5,8,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [2,7,1,5,8,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [2,6,5,1,8,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [3,6,5,1,8,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [4,6,5,1,8,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [5,6,4,1,8,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [8,1,4,5,7,6,2,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [6,4,5,1,8,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [5,4,6,1,8,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [4,5,6,1,8,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [3,5,6,1,8,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,5,6,1,8,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,4,6,1,3,8,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [3,4,6,1,2,8,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [4,3,6,1,2,8,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [5,3,6,1,8,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [7,3,1,5,8,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [8,1,3,5,7,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [7,2,1,5,8,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [6,2,5,1,8,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [4,2,6,1,3,8,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [2,3,6,1,4,8,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [4,2,5,3,1,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [6,2,4,1,3,8,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [7,2,1,4,3,8,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [8,1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [8,1,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [7,3,1,4,2,8,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [6,3,4,1,2,8,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [4,6,3,1,2,8,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [3,6,4,1,2,8,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [2,6,4,1,3,8,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [2,7,1,4,3,8,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [3,7,1,4,2,8,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [4,7,1,3,2,8,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [8,1,6,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [4,7,1,2,3,8,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [3,7,1,2,4,8,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [2,7,1,3,4,8,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,6,3,1,4,8,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [3,6,2,1,4,8,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [5,6,2,1,8,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [6,5,2,1,8,3,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [8,1,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [8,1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [7,4,1,2,3,8,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [6,4,2,1,3,8,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [5,4,2,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [3,5,2,4,1,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [6,3,2,1,4,8,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [7,3,1,2,4,8,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [8,1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [7,2,1,3,4,8,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [6,2,3,1,4,8,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [2,4,3,6,1,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,3,6,5,8,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,6,3,5,8,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,6,3,5,8,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,6,1,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [4,2,6,5,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [4,2,6,5,1,8,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [4,2,6,5,8,1,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [4,2,6,5,8,1,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [4,2,6,5,8,3,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [2,4,6,1,5,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,1,6,5,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,4,6,5,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,1,6,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,6,1,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,6,4,3,8,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [2,4,6,8,1,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,6,1,8,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,1,6,8,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,4,6,8,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,4,6,8,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,1,6,8,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,6,1,8,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,6,8,1,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,6,8,3,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,6,8,3,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,6,8,3,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,6,3,1,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,6,3,8,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,6,3,8,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,6,3,8,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,3,6,8,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,3,6,8,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,3,6,8,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,3,1,6,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,4,1,3,6,8,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,3,6,1,8,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,4,3,6,8,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [4,6,5,2,8,7,1,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [2,4,6,3,8,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,1,4,6,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,1,6,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,6,1,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,6,8,1,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,6,8,3,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [4,6,2,8,5,7,1,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [6,2,4,8,7,1,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [6,4,2,8,7,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [2,6,4,8,1,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [2,6,4,1,8,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [2,6,1,4,8,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [2,1,6,4,8,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [2,6,1,4,8,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [6,4,2,8,7,5,1,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [1,6,4,7,3,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,3,7,4,5,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [5,2,4,7,3,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [1,7,6,3,4,8,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [8,1,6,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,1,6,3,8,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,2,7,4,8,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [6,1,7,3,4,8,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [2,1,7,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [5,1,4,7,3,8,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [4,3,1,7,5,8,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [2,8,6,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [6,8,1,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [5,8,2,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [5,7,2,1,8,3,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [6,7,1,3,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [5,1,2,4,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [4,3,6,1,5,8,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>4 [2,6,1,4,5,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [6,5,1,3,4,8,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,6,2,4,8,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [8,5,1,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,5,3,2,8,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [6,4,2,1,5,8,3,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [2,5,3,4,1,8,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [4,3,5,2,1,8,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [2,6,4,8,7,1,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [1,6,4,8,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [2,7,8,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [4,3,2,8,7,1,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [5,2,4,8,7,1,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [6,2,8,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [5,1,4,8,7,2,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [4,8,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [4,7,2,5,1,3,8,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [3,7,2,1,5,4,8,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,8,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [8,3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [8,3,2,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,4,2,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,3,2,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [8,3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,8,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,7,2,1,4,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,2,7,1,4,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,2,8,1,4,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,8,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,8,2,1,4,7,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,8,2,1,5,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [4,8,2,5,1,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [4,7,2,5,1,8,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [3,7,2,1,5,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,7,2,1,4,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,2,1,7,5,8,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,2,7,1,6,8,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [4,2,7,6,1,8,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [4,3,7,6,8,1,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [4,3,8,6,7,1,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [4,2,8,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [3,2,8,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [3,2,1,8,7,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,8,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,2,8,1,7,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,2,8,1,6,4,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [3,2,7,1,6,4,8,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [4,2,7,6,1,3,8,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [4,2,8,6,1,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [4,2,8,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [5,7,8,3,4,1,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [4,2,7,8,1,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [4,2,6,8,1,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [4,2,6,7,1,3,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,2,6,1,8,4,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [3,7,2,1,8,4,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,7,2,1,8,5,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [4,7,3,8,5,1,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,3,7,8,6,1,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [3,2,7,1,8,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [3,2,1,6,8,5,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [3,2,6,1,8,7,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [4,2,6,8,1,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [4,3,6,8,7,1,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [4,2,6,7,1,8,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,2,6,1,7,8,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,4,6,8,7,5,1,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [5,3,6,4,8,7,1,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [1,4,6,2,7,8,5,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [3,1,8,5,4,2,6,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [1,2,7,5,4,8,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [6,3,7,5,4,8,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [7,3,8,5,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [3,8,7,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [4,3,6,7,8,5,1,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,5,6,3,8,7,1,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [3,6,8,5,4,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [6,8,3,5,4,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [7,6,3,5,4,8,1,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [1,6,2,5,4,8,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [7,1,2,5,8,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [1,8,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [6,2,1,5,4,8,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [4,1,6,2,8,7,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [7,8,1,2,4,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,8,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [4,3,6,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [2,3,8,5,4,1,6,7]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [4,8,1,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [7,5,1,6,4,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [5,8,1,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [6,1,5,7,4,3,2,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [1,5,8,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [3,4,6,1,5,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [7,8,4,1,5,3,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [7,8,5,1,6,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [2,6,1,5,7,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [1,6,8,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [6,8,1,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [5,6,1,7,4,3,2,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,1,7,6,4,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [6,1,7,8,4,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [7,1,8,6,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [1,8,7,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [2,1,7,5,6,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [3,1,6,7,5,8,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [7,8,1,6,5,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [7,8,2,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [2,8,1,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [7,2,1,5,4,6,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [1,2,8,5,6,3,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [6,1,2,5,7,3,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [4,2,1,5,6,3,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,3,6,1,5,7,2,8]=>[[1,2,7,8],[3,5],[4,6]]=>5 [5,1,6,3,7,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [1,3,6,8,5,7,2,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [2,4,6,3,7,1,8,5]=>[[1,3,5,7,8],[2,6],[4]]=>5 [1,3,6,4,8,7,2,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [4,1,6,7,3,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [5,4,6,1,3,7,2,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [6,4,1,5,2,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [4,1,7,5,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [1,2,4,5,8,3,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [7,2,3,5,4,1,8,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [2,8,3,5,4,1,7,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [4,2,6,3,8,1,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [7,8,2,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [7,8,1,4,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [3,1,6,4,7,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [1,8,5,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [7,1,5,8,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [5,1,8,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [6,5,1,8,4,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [6,5,7,1,4,3,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [7,5,8,1,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [5,8,7,1,4,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,5,7,8,4,3,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [2,4,7,5,1,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [7,8,4,6,1,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [7,8,5,4,1,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [3,5,6,4,1,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [2,6,4,5,1,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [1,6,5,8,4,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [6,8,5,1,4,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [7,6,5,1,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [1,2,3,4,5,6,9,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>8 [1,2,3,4,5,8,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [1,2,5,3,6,7,8,9,4]=>[[1,2,3,4,7,8,9],[5,6]]=>8 [9,8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [7,8,9,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [9,8,7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>6 [6,7,8,9,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>8 [9,8,7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>5 [9,8,7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>4 [9,8,7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>3 [9,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>5 [9,8,7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>2 [9,10,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [8,9,10,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9,10]]=>9 [10,9,8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>7 [7,8,9,10,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [10,9,8,7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>6 [10,9,8,7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>5 [10,9,8,7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>4 [10,9,8,7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>3 [9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>6 [10,9,8,7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>2 [3,4,6,2,7,1,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [3,6,2,5,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,2,7,5,4,1,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [4,3,6,2,8,1,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [6,1,2,5,4,7,8,3]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [6,2,4,5,1,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [4,2,8,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [4,3,6,8,1,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [5,3,6,4,1,7,2,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [6,2,1,5,8,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [1,6,7,4,8,3,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,4,6,3,7,5,8,2]=>[[1,2,5,7,8],[3,6],[4]]=>5 [4,6,7,2,5,8,1,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [2,4,6,1,7,5,3,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,7,5,4,1,6,3,8]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [7,5,4,6,2,8,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [1,7,5,4,3,8,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [1,4,6,3,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [1,5,8,4,3,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,4,6,2,7,8,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [2,5,4,1,6,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [5,6,3,2,7,1,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,6,3,2,7,1,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [8,5,6,3,2,7,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [5,4,6,2,8,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [2,4,1,7,8,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,5,4,1,6,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [5,6,3,2,1,8,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [3,5,2,1,6,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [6,8,4,3,2,1,5,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [5,3,8,2,1,6,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [3,7,5,8,2,1,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [7,3,2,8,5,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [8,4,6,3,2,1,7,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [8,6,4,3,2,1,7,5]=>[[1,5],[2,7],[3],[4],[6],[8]]=>3 [7,6,4,3,2,1,8,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [7,8,4,3,2,1,6,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [5,4,7,2,1,8,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [7,5,8,3,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [5,7,3,2,1,6,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,7,3,2,1,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [6,3,7,2,5,1,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,7,8,3,5,2,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,2,5,7,8,4,1,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [2,1,5,7,8,6,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [3,6,7,2,8,1,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [6,3,7,2,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [3,2,6,1,7,4,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,5,2,1,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [7,3,5,2,1,8,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [2,5,4,1,3,7,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,5,8,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [2,4,1,7,8,3,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [3,7,2,8,6,1,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [3,6,8,2,1,7,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [5,3,8,2,1,4,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [4,8,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [4,7,3,2,1,5,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [8,4,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [8,3,5,2,1,4,7,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [7,3,2,8,6,1,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [3,5,2,1,4,6,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [7,8,6,5,4,3,2,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [1,8,9,7,6,5,4,3,2]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>3 [8,9,7,6,5,4,3,2,1,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [7,6,8,5,4,3,2,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [1,8,7,9,6,5,4,3,2]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>3 [1,9,10,8,7,6,5,4,3,2]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>3 [7,8,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [8,6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [5,4,1,6,3,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [5,4,1,6,2,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [5,7,1,6,2,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [5,7,1,6,2,8,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [2,7,6,5,1,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [2,7,6,5,1,8,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [2,3,6,5,1,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,3,6,4,1,5,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [2,3,6,1,5,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,7,6,1,4,8,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [2,7,6,1,4,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [7,3,5,1,8,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [7,3,5,1,8,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [2,7,6,1,5,8,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [2,7,6,4,1,8,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [2,1,7,6,3,8,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [2,1,7,6,3,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [5,7,3,6,2,8,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [2,7,6,4,1,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [7,3,5,1,8,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [6,3,5,1,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [2,3,4,8,7,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,3,4,8,5,7,1,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [7,3,5,4,8,1,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [6,4,3,5,8,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [2,1,4,5,8,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [6,4,3,5,8,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [7,3,5,4,8,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [2,3,4,8,7,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [2,3,4,8,7,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [2,7,6,5,4,8,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [7,3,5,6,8,4,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,3,5,6,8,1,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,3,5,6,8,1,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [6,4,1,5,8,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [6,4,1,5,8,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,4,1,5,8,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [5,7,1,6,3,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [6,4,1,5,8,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [7,4,1,5,8,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [7,4,1,5,8,2,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [6,3,5,7,8,2,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,3,5,7,8,2,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [2,7,6,4,5,8,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [5,7,3,6,1,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [2,1,4,5,8,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [7,3,5,4,8,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [2,3,4,8,5,6,1,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [2,3,4,8,7,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,3,4,8,1,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,3,4,8,1,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,4,8,5,1,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [6,3,5,4,8,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [7,4,3,5,8,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [2,1,4,5,8,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [7,4,3,5,8,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [6,3,5,4,8,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [2,3,4,8,5,1,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [2,3,4,8,1,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,4,8,1,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [7,8,2,6,1,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,8,1,6,2,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,8,6,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,8,5,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [5,8,1,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [5,8,2,7,1,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [2,8,6,7,1,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [2,8,5,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [2,8,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [1,8,2,7,5,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [1,8,2,7,4,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [2,8,1,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [2,8,4,7,1,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [4,8,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [4,8,1,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,8,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [4,8,1,7,5,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [1,8,4,7,5,6,2,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,8,3,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,8,1,7,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [3,8,1,7,4,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [1,8,3,7,4,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,8,3,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [3,8,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [3,8,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,8,2,7,4,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,8,2,7,5,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [4,8,2,7,5,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [4,8,3,7,5,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [3,8,4,7,5,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [2,8,4,7,5,6,1,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [2,8,3,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [2,8,3,7,4,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,8,3,7,1,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,8,1,7,3,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [7,5,2,8,6,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [7,5,1,8,6,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [7,1,8,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [1,6,7,4,2,8,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,6,7,3,8,5,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [7,1,8,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [7,3,8,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>3 [7,4,2,8,6,1,3,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [7,3,1,8,4,2,5,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [1,5,7,8,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [2,6,3,7,8,5,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [2,6,3,7,8,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>6 [2,5,3,7,8,1,6,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [3,1,5,4,7,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [5,3,1,4,8,2,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [5,2,4,8,6,1,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [5,2,3,8,4,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>5 [4,8,1,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [6,4,2,8,1,3,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [6,3,8,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [5,8,1,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,5,7,4,2,6,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [5,8,1,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [6,5,1,2,8,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [6,5,3,1,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [5,3,1,6,4,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [3,5,7,1,8,6,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [3,6,2,7,5,1,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,4,5,8,2,7,1,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,4,6,2,8,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,5,2,6,8,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [4,2,5,6,1,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [5,3,6,8,4,7,2,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [3,7,2,5,4,8,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [3,1,6,5,4,8,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [4,1,6,5,8,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [5,1,6,8,4,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [8,5,4,7,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [2,7,1,5,4,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [8,2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [8,4,1,5,7,3,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [8,4,6,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [8,3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [2,7,6,1,4,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [6,7,8,5,1,3,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,7,8,2,4,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [8,3,6,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [3,7,6,2,4,8,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [5,7,3,8,4,6,2,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [4,7,3,5,8,6,2,1]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [8,7,2,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [8,7,3,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,7,6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [8,7,3,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,4,6,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [3,7,6,5,1,8,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [1,9,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>8 [9,1,2,3,4,5,6,7,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>9 [1,8,9,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [1,10,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9 [1,8,2,9,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [1,7,9,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7,9]]=>7 [1,9,10,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [3,6,4,8,7,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [5,6,4,3,8,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [1,6,2,4,7,8,5,3]=>[[1,2,3,5,8],[4,7],[6]]=>6 [3,6,2,4,8,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,4,7,2,8,1,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [1,4,7,2,5,8,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>6 [7,3,8,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [3,5,6,4,8,7,1,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [4,6,8,5,3,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,8,5,3,4,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [1,6,5,4,2,8,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [1,8,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [4,2,7,5,1,8,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [7,8,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [1,3,6,4,8,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [4,1,7,5,3,2,6,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [6,5,1,3,4,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [4,8,5,3,1,7,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [7,4,5,3,2,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [5,8,3,6,1,4,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [2,5,8,6,4,1,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [1,4,6,2,5,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [3,6,2,5,8,1,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [1,6,8,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [6,1,7,8,2,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [7,1,8,6,3,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,2,1,4,5,6,8,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [1,2,8,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [6,1,3,2,7,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [1,6,3,8,5,7,2,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [2,6,4,1,7,5,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [7,6,5,8,1,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [5,8,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [1,6,4,3,7,2,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [2,6,3,4,8,7,1,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [7,1,3,4,5,2,8,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,8,3,5,4,2,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [4,1,6,3,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [7,8,2,4,6,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [3,2,6,4,7,8,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [2,8,5,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [7,2,5,8,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [5,3,8,7,1,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [6,5,3,8,2,1,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [7,5,8,4,1,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [5,8,7,4,1,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [3,5,7,8,4,1,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [1,4,7,5,3,8,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [2,4,6,7,3,1,8,5]=>[[1,3,5,7,8],[2,6],[4]]=>5 [7,8,4,6,3,1,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [2,6,4,5,3,8,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [3,6,5,8,4,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [5,6,8,4,2,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [6,8,5,4,3,1,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [6,1,4,2,8,5,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [4,8,6,5,3,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [8,6,5,1,2,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [6,7,5,8,2,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [1,7,5,8,2,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [1,3,8,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [6,3,8,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [8,3,1,5,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [6,8,5,2,1,4,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [3,8,2,5,6,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [2,8,1,5,6,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [8,1,2,5,6,3,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,8,2,5,7,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [5,1,8,6,2,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [2,5,8,6,1,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [8,6,1,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [3,8,6,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [7,6,5,8,1,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [5,1,7,6,8,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [5,1,3,7,8,6,2,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [7,2,5,8,1,6,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [3,2,8,5,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [8,2,1,5,7,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [5,2,8,6,1,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [1,2,8,6,5,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [4,2,1,3,6,7,8,5]=>[[1,3,5,7,8],[2,6],[4]]=>5 [8,2,5,6,3,7,1,4]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [7,2,6,5,4,1,8,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [6,1,3,5,4,7,8,2]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [6,1,5,3,4,7,8,2]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [7,5,6,2,4,1,8,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [8,5,2,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [4,3,1,2,6,7,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [8,1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [3,5,8,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [5,8,1,6,3,7,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [1,8,5,6,3,7,2,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [1,7,6,5,4,2,8,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [5,7,6,1,4,2,8,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [7,1,4,2,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [4,1,7,3,5,6,8,2]=>[[1,2,5,6,8],[3,7],[4]]=>5 [2,7,4,1,5,6,8,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [5,7,6,4,1,2,8,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [4,7,6,1,5,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [1,7,6,4,5,2,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [1,8,3,6,5,7,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [3,8,1,6,5,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [8,1,3,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [7,8,5,4,1,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [6,1,5,4,3,7,8,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [7,5,6,4,2,1,8,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [8,3,2,6,5,7,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [7,4,6,2,5,1,8,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [6,1,4,3,5,7,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [6,1,3,4,5,7,8,2]=>[[1,2,4,5,7,8],[3],[6]]=>6 [7,2,6,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [8,2,3,6,5,7,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [5,4,7,3,6,8,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [3,4,7,8,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [3,4,7,2,5,1,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [1,4,7,2,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [3,6,2,4,7,1,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [6,8,3,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [4,3,6,7,5,8,1,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [6,3,7,5,8,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [7,3,8,6,4,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [3,2,7,6,5,1,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [1,2,7,6,5,8,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [4,8,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [2,3,8,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [4,3,6,2,5,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [7,8,3,2,5,1,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,8,1,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [4,1,6,2,5,7,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [6,1,2,5,8,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [2,1,8,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [7,1,3,6,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,8,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,1,5,8,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [5,1,8,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [6,1,5,7,4,2,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [3,1,6,4,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>6 [2,4,7,5,1,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [6,5,7,1,4,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [5,6,8,1,3,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [6,8,5,1,3,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [2,8,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [6,2,4,3,1,5,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [4,2,8,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [1,3,7,4,8,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [5,3,7,4,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [2,4,7,3,6,1,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,8,7,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [7,5,6,8,1,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [2,4,7,1,6,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [1,2,7,8,5,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [6,3,1,2,8,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [4,2,1,3,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,8,1,4,5,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [7,2,1,5,4,6,3,8]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [4,2,6,1,8,5,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [7,8,2,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [7,8,4,1,5,3,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [3,4,6,1,5,8,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>5 [7,5,1,6,4,3,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [5,8,1,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [6,5,1,8,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,8,1,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [7,6,1,8,5,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [5,6,1,7,4,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [3,6,1,5,7,4,2,8]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [2,5,6,1,7,4,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [3,1,7,5,6,4,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [5,1,7,6,4,8,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [6,1,7,8,5,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [7,1,8,6,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [2,6,5,7,3,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [1,6,4,7,5,8,2,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [8,5,3,6,2,7,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [1,3,7,4,6,8,2,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [4,7,5,6,3,2,8,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [1,7,6,5,4,8,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [8,1,6,5,7,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [1,2,7,6,8,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [6,1,7,5,3,8,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [2,1,7,5,6,8,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [5,4,1,7,6,8,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [4,8,5,6,2,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [3,8,6,4,2,7,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [7,8,5,2,4,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [2,8,6,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,8,1,6,2,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [6,8,1,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [3,8,4,1,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [5,4,7,1,8,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [3,7,4,1,8,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [6,7,1,4,8,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [2,7,1,8,4,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [6,1,2,8,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [6,5,1,4,3,8,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [1,6,2,5,8,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [8,5,1,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,4,2,1,7,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [7,4,2,1,8,5,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [1,5,4,2,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [6,4,3,1,5,8,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [3,7,6,8,4,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [2,7,6,8,5,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [1,7,6,8,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [1,4,8,6,7,5,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [2,4,8,6,7,3,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [7,3,8,5,4,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [3,4,8,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [6,3,5,8,4,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [5,4,3,8,6,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,4,2,8,7,3,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [6,2,5,8,7,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [3,2,8,5,7,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [1,3,8,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [2,1,8,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [3,1,8,5,7,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [6,1,5,8,7,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [5,4,1,8,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [5,8,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>3 [4,8,7,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [4,2,1,6,3,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [6,2,1,4,3,5,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [6,2,1,4,3,8,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [8,2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [6,2,4,1,3,5,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,6,4,3,5,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,6,1,4,3,5,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,6,4,1,3,5,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [4,6,2,1,3,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [6,4,2,1,3,5,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [8,4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [8,4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [6,4,2,1,8,3,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,6,1,4,3,8,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,6,4,3,8,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,8,4,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,8,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,8,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [4,8,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [6,8,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [8,6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,8,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,6,1,4,8,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,6,4,1,8,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,6,4,8,1,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [4,6,2,8,1,3,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [4,2,6,1,8,3,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [6,2,4,1,8,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [4,2,1,6,8,3,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [4,2,1,6,3,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [4,2,1,3,6,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,1,4,3,8,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,1,3,8,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [4,2,1,3,8,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [4,2,1,8,3,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [4,2,1,8,6,3,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [8,2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [8,2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [4,2,8,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,4,8,1,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,1,8,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,1,4,8,3,6,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,1,4,8,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,8,1,6,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,8,6,1,3,5,7]=>[[1,3,5,7],[2,4,6],[8]]=>4 [4,2,8,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [8,4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [4,6,8,2,1,3,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,6,8,4,1,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,6,8,1,4,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,6,1,8,4,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,6,8,4,3,5,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,8,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,8,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [4,8,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [6,8,4,2,1,3,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [3,2,6,1,5,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [5,2,4,3,8,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [6,2,4,1,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [4,3,6,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,3,5,2,8,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,3,7,2,6,5,8,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,3,8,2,6,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,3,8,1,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [4,3,8,1,5,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [5,1,8,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [5,4,8,1,3,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [2,1,5,4,8,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [5,1,7,6,8,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [4,3,7,6,8,1,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [4,3,7,1,8,5,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,3,6,5,8,1,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [6,3,5,4,7,2,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [6,3,5,4,8,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [7,1,6,3,8,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,4,6,5,8,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [2,1,8,4,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [8,4,6,1,3,2,7,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [8,1,6,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [8,1,6,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [8,3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,3,5,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [7,3,5,2,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [8,2,6,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,7,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,2,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [8,2,4,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [8,2,4,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [3,2,8,4,6,1,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,8,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [3,2,7,6,8,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,2,7,1,8,5,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,2,6,5,8,1,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [6,5,7,2,4,3,8,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [6,5,8,2,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [7,2,4,1,8,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [7,6,8,2,4,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,6,8,1,5,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [2,1,7,3,8,5,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>5 [7,1,3,2,8,5,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [7,1,8,5,6,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,1,8,2,6,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,2,8,1,5,4,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [6,2,7,4,5,3,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [5,4,7,2,6,3,8,1]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,4,8,2,6,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [6,5,8,1,7,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [2,1,6,5,8,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [6,5,7,4,8,1,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [6,5,7,1,8,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,1,7,4,8,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [5,4,7,1,8,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [5,4,6,3,8,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [2,8,3,1,5,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,5,3,4,7,1,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>5 [2,4,8,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,2,5,3,1,8,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,2,1,8,5,3,6,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [5,4,1,3,8,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,1,4,8,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [1,5,8,4,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [1,8,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [1,7,4,3,8,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [1,5,7,3,8,4,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [5,1,4,7,8,3,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [4,8,1,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [8,1,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [3,8,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [1,6,8,5,3,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [6,8,1,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [6,4,8,1,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [6,4,8,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [7,6,4,1,3,8,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [1,7,5,6,3,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [4,2,1,7,8,5,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [2,7,4,6,3,1,8,5]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [2,6,8,4,3,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [6,2,4,8,3,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [7,2,6,3,4,1,8,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [2,6,7,3,1,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [2,7,1,8,3,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,1,7,3,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [8,7,1,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,2,1,7,3,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [7,8,2,6,3,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [8,7,2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [1,2,8,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [8,3,7,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,6,1,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,1,6,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,8,5,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [5,2,1,8,6,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [2,8,5,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [1,7,8,5,2,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,8,1,6,4,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,8,6,1,5,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [7,3,8,6,1,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [8,7,6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [8,7,1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [8,1,7,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [1,8,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [6,3,5,2,1,4,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [6,3,5,7,2,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [8,5,2,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [4,5,3,6,1,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [3,5,1,4,6,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [8,3,4,5,7,2,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [5,7,4,6,3,8,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [2,8,4,6,3,7,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [8,1,4,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [8,3,4,7,5,1,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [8,5,1,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [8,5,3,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [2,1,8,5,7,4,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [6,5,3,7,1,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,5,1,4,7,8,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [6,3,4,7,5,8,1,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [5,1,4,6,8,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [4,7,1,3,5,8,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>5 [4,8,3,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [3,8,6,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [3,8,1,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [2,8,7,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,7,2,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [3,8,6,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [5,7,6,8,4,2,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [5,3,7,8,2,4,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [8,3,6,2,1,4,7,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [5,3,7,6,2,1,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,3,6,2,8,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,7,8,6,4,2,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [2,6,7,5,4,8,1,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [6,1,7,4,5,8,2,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [6,7,3,5,1,8,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [2,1,6,7,5,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [2,1,5,7,3,6,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [5,7,3,6,1,2,8,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [4,1,7,2,5,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [2,4,7,1,6,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [4,6,2,1,8,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [3,4,6,2,7,8,5,1]=>[[1,4,5,7,8],[2,6],[3]]=>5 [4,6,1,2,5,8,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>5 [5,6,1,4,8,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [5,6,3,1,8,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [3,5,6,4,7,1,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [3,4,6,1,5,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [3,4,1,5,7,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,8,2,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [3,8,2,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [3,8,2,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [3,8,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [4,8,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [4,8,7,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [4,8,7,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [4,8,7,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [4,8,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [4,8,7,3,2,1,6,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [4,8,7,3,2,6,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [4,8,7,3,2,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [4,8,7,3,6,2,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [4,8,7,3,6,2,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [4,8,7,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [4,8,7,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [4,8,7,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [5,8,7,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [5,8,7,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [5,8,7,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [5,8,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [5,8,7,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [5,8,7,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [5,8,7,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [5,8,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [5,8,7,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [7,3,5,2,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [7,2,1,5,6,4,3,8]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [1,4,6,7,3,8,2,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [6,4,5,7,1,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [6,3,5,1,7,4,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [6,2,1,5,7,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [3,2,1,5,7,4,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [2,4,6,7,3,8,1,5]=>[[1,3,5,7,8],[2,6],[4]]=>5 [1,4,6,7,3,8,5,2]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,5,6,7,8,3,4,2]=>[[1,2,4,7,8],[3,6],[5]]=>6 [2,5,6,7,8,3,1,4]=>[[1,3,4,7,8],[2,6],[5]]=>6 [3,2,1,6,7,8,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [5,2,1,6,7,8,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,3,6,1,7,8,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [5,4,6,7,1,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [1,5,6,7,8,3,2,4]=>[[1,2,4,7,8],[3,6],[5]]=>6 [6,4,5,7,2,1,8,3]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [5,4,6,7,2,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [6,3,4,2,1,7,8,5]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [4,3,6,2,7,8,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,4,6,7,2,8,5,1]=>[[1,4,5,7,8],[2,6],[3]]=>5 [4,2,1,5,7,3,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [1,5,6,7,8,2,4,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [1,5,6,7,8,4,2,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [3,4,6,7,1,8,5,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [4,3,6,1,7,8,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [2,1,4,3,6,5,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>5 [2,4,1,3,6,5,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>5 [2,4,1,6,3,5,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>5 [2,4,1,6,3,8,5,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>5 [1,3,2,5,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [2,4,1,3,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5 [2,4,6,1,3,5,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>5 [2,4,1,6,3,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5 [2,4,1,6,8,3,5,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>5 [2,4,1,6,3,8,5,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5 [2,4,1,6,3,8,9,5,7]=>[[1,3,5,7,9],[2,4,6,8]]=>5 [2,4,1,6,3,8,5,10,7,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5 [2,4,1,6,3,7,5,8,9]=>[[1,3,5,7,8,9],[2,4,6]]=>6 [2,4,1,6,3,8,5,9,7,10]=>[[1,3,5,7,9,10],[2,4,6,8]]=>6 [1,3,2,5,4,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>6 [1,4,3,6,2,5,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,4,3,7,2,5,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,4,3,7,6,8,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [1,4,3,7,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [1,4,3,7,2,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>4 [1,5,3,7,4,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,3,2,6,5,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,5,4,8,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [1,5,4,8,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [1,2,3,6,5,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [6,8,2,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [3,7,8,4,5,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,8,1,4,5,3,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [3,8,7,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [4,8,3,6,1,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [5,8,3,1,6,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [5,8,1,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [7,5,1,8,6,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,4,1,8,2,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,1,8,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [1,6,3,8,5,2,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [6,1,3,8,5,2,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [7,2,8,4,1,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,2,8,3,6,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,2,8,3,6,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,1,8,2,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,5,2,3,8,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [5,1,2,3,8,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [6,2,8,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>4 [2,6,3,8,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [2,5,1,3,8,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [1,2,4,8,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [2,4,8,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [2,4,8,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,5,4,1,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [5,2,3,8,4,7,1,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [1,4,8,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [6,3,8,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [5,3,8,1,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [5,1,3,8,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [1,5,4,8,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [6,5,1,2,8,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [5,3,1,6,4,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [5,1,6,2,8,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [1,4,2,5,8,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [3,6,2,8,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [4,2,6,1,8,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [4,3,1,5,8,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [3,4,8,7,1,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [3,4,8,1,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [1,3,4,8,7,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [6,3,1,5,4,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [7,8,3,5,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,8,2,5,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [6,2,1,5,4,7,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [4,3,7,5,8,6,1,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,2,7,1,8,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [1,7,6,5,3,8,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [2,7,6,5,3,8,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [1,7,6,5,2,4,8,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [2,7,1,4,8,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [3,7,6,4,8,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [5,7,6,3,8,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,1,6,2,4,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [4,7,6,5,1,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [4,7,6,5,1,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [6,1,3,5,4,8,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,2,6,3,4,8,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [6,1,4,2,8,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [4,7,1,6,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [1,2,6,7,4,8,5,3]=>[[1,2,3,5,8],[4,7],[6]]=>6 [3,1,6,7,4,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [3,2,8,5,4,6,1,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [4,7,1,2,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [4,7,6,8,3,5,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [2,7,6,5,1,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [6,3,2,1,7,4,8,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [4,2,1,7,3,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [7,3,1,5,4,2,8,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [8,4,1,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [8,2,5,1,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [4,7,2,5,3,1,8,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [7,5,4,3,2,1,8,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [5,7,4,3,2,8,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [1,7,6,2,4,8,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [2,7,3,6,4,8,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [6,2,7,5,3,8,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [7,1,8,5,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [5,8,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [8,7,3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [8,7,2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [1,8,5,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,8,5,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [3,8,6,1,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [7,2,8,5,6,1,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [6,3,7,5,8,2,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [3,7,2,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [3,6,5,8,1,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [2,6,5,8,4,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [6,5,4,8,3,2,1,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [6,3,5,1,8,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [8,4,1,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [6,3,7,4,8,5,2,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [4,7,2,5,8,6,3,1]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [6,3,1,8,4,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [6,5,3,8,7,4,1,2]=>[[1,2],[3,4],[5,7],[6,8]]=>4 [5,4,8,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [5,2,8,1,7,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [6,4,7,8,1,5,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [2,5,8,7,1,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [5,3,8,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [8,3,7,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [8,2,7,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [4,3,8,7,6,2,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [2,4,8,7,6,1,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [3,5,8,7,2,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [4,7,3,8,6,5,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [7,5,8,6,4,3,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [5,8,7,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [4,8,7,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [3,8,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [2,8,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [3,4,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [3,2,1,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [4,3,2,1,5,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [5,6,7,8,1,2,3,4,9]=>[[1,2,3,4,9],[5,6,7,8]]=>8 [5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>5 [6,5,4,3,2,1,7,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [7,6,5,4,3,2,1,8,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [8,6,9,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>5 [3,2,1,4,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>8 [4,3,2,1,5,6,7,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>7 [5,4,3,2,1,6,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>6 [6,4,3,2,7,1,5,8,9,10]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>6 [6,5,4,3,2,1,7,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>5 [7,5,3,8,2,6,1,4,9,10]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]=>6 [7,6,5,4,3,2,1,8,9,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>4 [8,6,9,4,7,2,5,1,3,10]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>6 [8,7,6,5,4,3,2,1,9,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [3,6,5,1,2,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [3,7,5,8,2,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [3,8,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [5,1,7,8,4,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [5,1,2,6,4,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [6,1,2,5,4,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [5,1,2,4,6,3,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [4,1,2,6,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [4,1,5,7,8,3,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,1,5,8,7,3,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [4,7,1,8,3,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [4,1,7,8,5,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [5,1,7,4,8,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [7,5,3,8,1,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [2,1,5,8,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [5,1,8,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [4,1,8,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [4,7,1,6,3,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [6,1,2,3,7,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [7,1,2,3,8,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,1,2,3,5,8,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [6,8,1,4,3,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [8,7,3,2,4,1,6,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [2,1,7,3,4,8,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [7,8,3,2,4,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,7,1,4,3,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [8,1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [8,1,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [7,1,2,3,6,8,5,4]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [7,1,2,3,8,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [8,1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [8,1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [7,1,8,5,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [7,8,2,6,3,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [6,8,2,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [6,7,2,8,3,4,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [3,8,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [3,7,8,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [3,6,8,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [3,5,7,8,2,4,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,6,7,1,4,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [7,6,2,8,3,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [8,6,2,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [8,1,7,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [8,1,7,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [5,8,3,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [2,1,7,3,4,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [6,7,3,2,4,1,8,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [8,7,2,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [7,1,2,3,5,6,8,4]=>[[1,2,3,4,6,8],[5],[7]]=>6 [6,1,2,3,8,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [5,1,2,3,7,8,6,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [5,1,2,3,8,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [5,1,2,3,8,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [6,1,2,3,5,8,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>5 [8,6,2,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [7,6,3,2,4,8,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [2,1,6,3,4,8,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [8,6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [7,6,2,4,3,1,8,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [6,1,2,3,5,7,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>6 [5,1,2,3,6,8,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,3,8,5,4,2,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [2,4,8,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [3,4,8,5,7,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [7,1,4,2,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [6,8,1,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,6,4,2,8,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [1,6,3,8,5,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [6,8,1,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [7,1,3,6,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [7,3,1,6,5,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [7,1,2,3,6,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [6,8,1,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,5,8,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [5,1,8,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [5,8,2,7,6,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [6,8,2,1,7,4,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [2,1,6,3,8,5,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,5,3,8,7,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [2,5,8,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [3,5,8,7,1,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [5,3,8,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [4,2,8,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [4,2,8,7,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [4,1,8,7,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [4,3,8,7,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [1,5,8,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [5,8,7,4,6,1,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [5,6,3,1,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [5,6,1,2,4,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [4,5,8,1,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,3,2,5,8,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [3,5,1,8,7,4,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [3,5,1,8,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [4,5,8,3,1,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [3,4,8,7,6,2,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [3,1,4,8,7,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [3,4,8,7,6,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [1,2,7,5,8,6,4,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,1,4,8,2,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [6,8,1,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [3,7,8,1,2,6,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [1,3,7,8,2,6,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [2,3,7,8,1,6,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,7,8,1,3,6,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [8,1,2,6,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,2,5,7,1,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [2,8,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [2,6,8,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [2,8,6,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [6,8,3,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [6,8,3,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [2,6,8,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [2,8,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [8,2,5,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,4,7,2,3,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [8,3,5,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [8,5,2,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [8,2,3,5,7,1,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,2,4,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,2,7,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [8,7,1,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [8,7,1,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [8,4,7,1,3,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [1,6,8,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [8,3,5,7,1,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [5,8,7,1,3,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,5,4,7,1,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [8,5,4,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [8,5,1,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [1,4,6,8,2,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,6,5,8,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [8,5,6,3,1,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [5,6,2,8,1,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [1,8,4,5,7,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [5,8,7,3,6,1,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,3,5,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [1,6,8,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [6,3,8,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [6,8,4,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [8,6,4,7,3,1,5,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [8,4,5,7,3,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [8,4,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [8,3,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [8,7,1,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,3,7,2,4,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [2,8,4,5,7,1,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,7,3,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [8,7,4,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [5,8,7,2,3,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,7,2,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,7,2,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [1,3,2,8,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [4,2,8,5,3,7,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [5,2,1,8,4,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [6,2,8,4,3,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [7,2,8,4,3,1,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [7,3,4,8,2,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,3,4,8,2,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [5,3,4,1,8,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [8,1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [8,1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [3,5,4,2,8,1,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [4,5,3,2,8,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [6,4,3,2,8,7,5,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [6,5,3,2,1,7,8,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,6,3,2,7,8,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [4,1,6,3,2,7,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [3,6,4,2,7,8,1,5]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [8,1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [8,1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [2,7,4,1,3,6,5,8]=>[[1,3,5,8],[2,4,6],[7]]=>4 [3,7,4,2,6,1,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [4,1,7,3,2,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>4 [5,7,3,2,6,4,8,1]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [6,7,3,2,5,4,1,8]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [7,6,3,2,1,5,4,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [4,7,5,6,2,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [3,1,7,5,6,2,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>5 [2,7,5,6,1,3,4,8]=>[[1,3,4,8],[2,5,6],[7]]=>5 [2,6,5,7,1,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [4,6,5,7,2,8,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [5,6,4,7,2,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [6,5,4,1,7,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [7,5,4,6,2,1,8,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [6,4,5,7,1,8,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [5,4,6,1,7,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [8,1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [2,1,4,6,8,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [3,4,6,8,7,1,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [4,3,1,6,8,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [5,3,6,8,7,2,4,1]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [6,3,5,1,8,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [7,3,5,8,6,2,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,2,8,5,6,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [6,2,8,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [4,2,1,8,6,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [1,3,2,8,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [2,3,8,6,7,1,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [8,1,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [2,3,8,7,1,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [4,2,8,7,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [5,2,8,7,6,4,1,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [7,2,1,8,6,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [7,3,6,1,8,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [6,3,7,8,5,4,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,3,7,8,6,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [4,3,1,7,8,6,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [3,4,7,8,6,1,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [8,1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [3,5,7,6,8,1,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [4,5,7,6,8,3,1,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [5,4,1,7,6,8,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [6,4,7,5,8,3,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,4,6,5,1,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [7,5,6,4,3,1,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [6,5,1,7,4,3,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [4,6,7,5,3,8,1,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [3,6,7,5,1,4,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [8,1,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [8,1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>2 [2,7,6,1,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [3,7,6,5,1,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [4,7,6,5,3,1,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [8,6,4,3,1,5,7,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [8,6,4,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [8,6,5,1,3,2,7,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [8,6,3,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [8,7,3,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [5,3,1,7,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [8,7,1,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [8,6,1,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,5,1,2,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [8,5,1,6,4,2,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [8,5,1,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,6,1,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [8,6,1,5,2,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [8,6,1,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,6,1,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,7,1,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [5,1,4,2,3,8,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [5,1,4,2,7,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [7,1,5,8,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [5,7,8,1,2,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>5 [5,7,8,1,3,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>5 [5,8,1,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,1,5,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [8,4,1,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,4,2,3,8,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,4,2,7,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [6,1,2,8,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,1,2,4,8,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [3,1,8,4,6,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [3,1,7,6,4,8,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [7,1,2,4,6,8,5,3]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [7,1,2,6,8,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [6,1,2,7,8,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,1,2,7,4,8,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [3,1,6,4,7,8,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>6 [5,7,1,3,8,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>5 [5,7,1,8,4,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [7,1,5,3,2,8,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,1,4,5,2,8,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [4,7,3,1,5,8,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,8,7,3,1,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [8,1,7,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,1,7,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [8,3,7,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [3,1,2,8,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,1,2,8,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,1,7,2,6,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,4,2,3,8,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,4,2,3,8,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [5,8,1,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [5,8,1,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [3,1,8,6,4,7,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [8,1,2,6,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [6,1,2,8,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,2,3,5,8,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,2,3,5,8,6,4,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [7,1,2,8,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,1,2,8,6,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [3,1,7,8,4,6,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [3,1,8,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,1,2,7,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [1,2,3,5,8,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,2,3,6,8,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [7,8,5,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,5,6,3,1,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,8,3,1,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,8,5,3,1,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,8,5,3,1,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,8,5,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,8,5,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,5,8,3,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,5,6,3,4,1,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,6,3,1,2,8,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [7,5,3,6,1,2,8,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [7,5,3,1,4,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,5,3,1,6,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,3,6,4,1,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,3,6,4,8,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,3,8,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,5,3,8,1,4,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,5,3,1,8,4,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,5,3,1,8,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,5,3,1,6,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,3,1,8,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,5,3,1,8,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,5,3,8,1,6,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,5,3,8,6,1,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,5,3,8,6,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,5,8,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,5,8,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,5,8,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,5,3,6,1,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,3,8,4,1,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,5,8,6,3,1,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,5,8,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,5,8,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>5 [7,5,6,8,3,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,3,4,1,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [7,5,6,3,1,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [7,5,6,3,1,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,6,3,8,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,6,3,8,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,3,6,1,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,3,1,6,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [7,5,3,1,2,8,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,5,3,1,2,8,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,5,3,1,4,8,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,5,3,4,8,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,5,3,4,1,6,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,5,3,1,4,6,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,6,2,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [3,5,2,8,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [5,4,7,3,2,8,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [5,4,8,3,2,7,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [6,4,5,3,2,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [5,3,2,6,4,1,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [4,5,8,3,2,7,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,7,6,3,8,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [4,8,6,3,7,5,2,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [4,8,5,3,2,7,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [5,8,4,3,2,7,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [5,3,2,8,4,7,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [2,1,5,8,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [5,3,2,7,4,8,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,7,4,3,2,8,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [4,7,5,3,2,8,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [4,7,8,3,6,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [4,6,8,3,7,5,2,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [7,6,4,3,8,5,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [7,3,2,6,8,5,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [2,1,8,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [8,3,2,6,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [8,6,4,3,7,5,2,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>3 [8,5,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>2 [8,4,5,3,2,7,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [8,4,7,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [8,4,6,3,7,5,2,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [7,4,6,3,8,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [3,7,2,6,8,5,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [3,8,2,6,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [3,8,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [3,7,2,8,6,5,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [3,6,2,8,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [6,4,7,3,8,5,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,4,8,3,7,5,2,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [7,4,8,3,6,5,2,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [7,4,5,3,2,8,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [7,5,4,3,2,8,6,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [7,3,2,5,4,8,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [2,1,7,5,4,8,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [7,3,2,8,6,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [7,8,4,3,6,5,2,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [6,8,5,7,4,3,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [6,8,4,3,7,5,2,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [6,3,2,8,7,5,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [6,3,2,7,8,5,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,7,4,3,8,5,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [2,3,1,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>8 [2,3,4,1,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>8 [2,3,4,5,1,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>8 [2,3,4,5,6,1,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>8 [2,3,1,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>9 [2,3,4,1,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>9 [2,3,4,5,1,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>9 [2,3,4,5,6,1,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>9 [2,3,4,5,6,7,1,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>9 [2,3,4,5,6,7,8,1,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>9 [4,6,8,3,5,7,1,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [6,8,1,2,4,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>5 [3,5,8,2,4,7,1,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [8,3,5,2,4,1,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [4,2,5,7,3,6,1,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,5,2,8,3,1,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,2,5,8,3,7,1,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [2,1,6,8,4,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [1,2,5,8,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [5,3,6,8,4,7,1,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [1,6,5,8,2,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [3,1,2,6,8,5,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,4,3,8,2,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [5,4,8,3,2,1,6,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,4,3,7,2,6,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [4,3,6,2,7,5,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,6,3,2,1,8,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,1,7,3,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [4,3,1,7,8,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [3,5,1,2,7,8,6,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [7,5,1,4,8,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [5,4,7,3,8,6,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,8,4,7,6,3,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [5,8,7,1,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [8,3,5,1,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [4,8,3,1,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [1,8,4,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [4,6,3,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,7,3,6,5,2,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [5,3,7,6,4,2,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [1,6,3,4,2,8,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [1,8,3,6,2,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,6,8,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [6,4,8,7,5,3,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [7,6,4,3,8,5,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [1,7,6,2,8,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,1,3,2,6,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,5,3,2,7,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [6,3,2,1,8,5,4,7]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,5,3,2,7,4,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,2,6,3,7,4,1,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [2,8,5,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [2,1,7,3,8,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [1,6,2,3,7,8,5,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,6,7,2,8,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [5,7,1,8,2,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>5 [5,1,2,7,8,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [2,4,1,7,8,6,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [4,2,1,7,3,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [6,2,8,4,3,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [7,3,2,1,8,4,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,8,3,2,5,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,1,8,2,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [8,7,6,1,2,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,3,7,6,2,1,4,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [3,2,8,7,5,1,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [8,3,6,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [7,6,3,5,2,4,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [7,4,6,2,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [8,2,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [4,2,8,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [8,2,4,1,7,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [8,7,1,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,5,7,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [6,8,3,7,5,4,1,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [8,1,6,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [8,1,2,6,4,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [2,8,1,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [2,5,1,8,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [5,7,2,6,4,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [6,2,7,5,4,3,1,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [2,1,8,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [1,2,7,5,4,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [1,7,2,4,3,8,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [1,7,2,8,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,7,8,6,5,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [7,3,8,6,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [1,8,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [8,1,7,3,2,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [5,1,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [8,6,5,3,2,1,7,4]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [8,6,3,2,1,7,4,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [8,6,5,4,1,7,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [8,6,5,1,7,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [8,6,1,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [4,6,3,2,7,5,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [1,4,3,7,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [7,4,8,3,1,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [7,1,5,8,3,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [5,7,4,1,8,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [5,7,4,3,1,8,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [1,8,7,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [1,8,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [4,3,1,8,7,5,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [1,4,8,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [7,4,6,3,5,2,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [1,3,5,6,8,4,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [3,5,4,8,7,1,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [3,1,4,6,8,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [1,6,3,8,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [1,6,2,4,8,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,4,1,6,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [7,1,6,4,8,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,3,6,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [1,3,7,2,6,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [3,6,5,2,8,1,4,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [3,6,5,7,2,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [4,2,6,3,8,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [4,2,6,7,3,5,1,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,6,2,4,7,5,1,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,6,2,4,1,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [7,3,8,2,1,6,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,3,5,2,1,8,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [8,7,6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [8,7,6,4,1,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [3,8,7,2,1,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,8,2,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,6,8,2,1,5,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [2,4,8,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [4,2,8,1,5,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [8,5,7,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,6,1,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [8,6,1,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [1,6,2,8,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,8,2,4,6,7,3,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [2,8,5,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [2,1,5,8,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [7,2,5,6,4,3,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [1,2,5,7,8,4,3,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,2,7,4,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [1,2,7,8,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,1,8,6,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [1,8,7,6,3,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [1,8,7,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [7,1,5,8,3,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,1,6,4,2,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [8,6,2,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [8,6,2,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [2,7,1,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [7,1,6,4,5,2,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [7,1,4,5,6,8,2,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [7,1,4,6,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [7,1,2,3,8,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [7,1,5,4,3,8,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [7,1,3,4,2,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [7,1,5,4,6,2,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [7,1,5,6,4,3,8,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [7,1,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [8,6,2,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [2,5,1,7,4,3,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,5,1,4,7,8,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>4 [3,5,1,4,8,6,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [3,6,2,4,7,8,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [5,6,2,4,8,7,1,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [6,3,8,2,4,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [6,5,8,7,2,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,5,7,8,2,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,3,4,2,8,5,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [3,4,7,2,5,8,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [4,6,8,1,3,5,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,3,8,1,2,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [3,6,4,1,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>6 [2,8,3,1,5,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [3,8,7,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [4,3,1,7,6,8,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [3,4,1,7,5,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,4,1,5,7,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,7,4,1,6,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [8,4,7,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [4,7,8,1,2,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [2,8,6,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [7,6,5,1,3,8,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [7,6,5,1,3,4,8,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [7,2,6,4,1,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [6,7,5,2,1,3,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [8,4,5,3,7,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [4,7,5,2,8,1,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [2,6,4,3,1,5,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [7,3,8,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [7,2,3,4,1,6,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>5 [4,2,8,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [6,8,5,7,2,1,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [4,8,5,2,7,1,3,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [6,3,5,2,1,7,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,8,5,3,1,4,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [3,6,5,4,2,8,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [1,6,4,7,2,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,6,4,8,2,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [1,6,5,8,2,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,6,8,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,6,2,4,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,5,6,2,4,7,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [1,5,6,2,4,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [1,5,8,2,4,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,5,7,2,4,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [1,6,5,7,2,4,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [1,6,7,2,4,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [1,5,6,7,2,4,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [1,5,8,2,4,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,5,7,2,4,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,5,7,8,3,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,5,8,3,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [1,5,6,2,4,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [1,7,6,2,8,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,7,3,4,2,8,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [1,6,2,4,3,8,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,5,6,2,4,8,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>5 [1,5,8,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,4,2,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,5,2,3,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,6,5,2,3,8,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [1,7,4,2,8,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [1,7,6,5,2,8,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [1,6,7,5,2,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,7,5,2,8,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [1,7,5,6,2,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,5,7,6,2,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [1,5,8,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [1,6,5,2,3,7,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,6,5,2,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,6,8,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,7,4,6,2,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [1,7,3,5,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [1,6,8,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [1,6,4,2,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,6,4,2,3,7,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,5,8,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [1,5,7,3,2,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,7,3,4,2,8,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,7,4,2,8,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [1,6,7,4,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [1,6,4,2,3,8,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [1,7,6,4,2,8,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [1,7,5,2,8,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [1,6,4,2,3,8,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [3,7,5,6,1,4,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,5,4,1,6,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [1,7,6,4,3,5,8,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [8,4,1,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [4,7,1,3,8,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [4,7,8,1,2,6,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [1,8,6,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [8,7,1,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [6,8,5,7,3,2,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [1,8,4,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [2,4,3,7,8,6,1,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,7,6,8,3,2,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [8,1,4,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [8,2,3,4,7,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [4,2,3,8,5,6,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [8,2,3,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [3,7,4,8,5,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [1,4,8,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [7,5,8,6,3,2,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [6,5,8,7,3,2,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [8,5,7,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [2,5,3,8,7,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [1,8,7,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [6,8,7,5,3,2,1,4]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [5,7,6,8,3,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [3,7,6,8,4,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [1,5,4,7,6,8,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [1,7,4,6,5,8,2,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [3,7,4,6,5,8,1,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [3,5,4,8,6,7,1,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [3,8,4,6,5,7,1,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [3,6,4,7,5,8,1,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [1,6,2,7,5,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,6,4,8,5,7,2,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [1,8,4,6,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,5,4,8,6,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [7,8,1,5,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,8,1,5,2,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [1,8,2,6,5,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,7,2,8,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [1,7,2,6,5,8,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,5,2,7,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,7,6,8,2,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,7,6,8,4,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [5,7,6,8,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [7,8,5,6,1,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [5,8,6,7,1,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [1,3,2,7,6,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,7,6,8,2,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,8,1,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [7,8,1,6,2,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,8,6,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,8,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,8,1,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [7,8,2,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [4,3,6,5,8,7,1,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [3,4,1,5,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [3,4,5,1,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [3,4,5,6,1,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [3,4,5,6,7,1,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [3,4,5,6,7,8,1,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [3,4,1,5,6,7,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [3,4,5,1,6,7,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [3,4,5,6,1,7,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [3,4,5,6,7,1,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [3,4,5,6,7,8,1,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [3,4,5,6,7,8,1,2,9]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [3,4,5,6,7,8,9,1,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [1,6,2,3,8,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,7,4,3,2,8,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [1,4,7,6,2,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [1,2,6,5,3,7,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,2,6,5,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,3,7,5,2,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,3,7,4,2,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,2,6,4,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,2,6,4,3,7,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,4,7,3,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [1,4,3,2,5,8,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,5,3,2,4,8,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [1,7,5,3,2,8,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [1,5,3,2,4,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [7,6,5,4,3,1,8,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [6,8,5,4,3,2,1,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [7,9,6,5,4,3,2,1,8]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [7,1,5,4,3,8,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [3,6,5,4,8,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [6,8,1,4,3,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [2,8,5,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [8,10,7,6,5,4,3,2,1,9]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>2 [7,6,1,4,3,8,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [4,6,5,8,3,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,8,5,1,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [1,8,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [3,8,5,4,7,2,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [7,6,5,1,3,8,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [1,6,3,4,8,7,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,4,5,8,3,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [6,8,5,4,1,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [1,8,5,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [6,8,2,4,3,7,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [1,8,3,4,7,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,9,2,5,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8],[9]]=>4 [7,5,8,4,3,2,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [4,8,5,7,3,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [8,4,7,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [5,4,6,8,2,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [8,4,6,5,2,1,7,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [4,8,7,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [2,7,5,1,8,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [5,1,8,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [2,8,6,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [3,6,5,2,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [5,2,3,6,4,1,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [6,1,4,5,3,2,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [3,8,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [5,7,1,2,4,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [4,3,7,6,8,2,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [5,3,6,8,1,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [3,2,6,8,5,7,1,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [6,3,7,2,4,8,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [7,4,8,6,5,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [7,1,8,2,5,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [2,5,3,7,4,1,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [3,6,4,7,5,1,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [8,4,7,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,4,7,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [4,2,8,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,1,7,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [7,4,3,8,2,5,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [6,4,1,5,8,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [2,5,8,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [2,1,5,8,7,4,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [8,3,5,6,7,4,1,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [7,4,3,2,8,5,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [4,2,7,1,8,5,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [4,1,7,2,8,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>6 [2,4,8,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,7,8,3,1,5,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [3,4,7,2,8,5,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,7,1,4,8,5,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>6 [7,2,3,4,8,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>6 [6,1,8,5,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [2,1,7,4,5,8,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,1,8,3,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,1,6,4,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [7,8,2,6,4,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [2,6,3,5,8,7,1,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [7,6,2,1,5,8,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [4,5,2,7,6,1,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [5,1,6,8,4,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [3,6,8,7,5,2,1,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [7,4,8,6,5,2,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [8,1,6,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [7,6,4,1,2,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [2,6,4,8,5,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [7,3,5,8,4,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [3,2,5,8,4,1,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [8,4,7,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [4,8,7,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [6,1,4,8,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [7,2,8,4,3,5,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [4,7,8,1,3,5,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>5 [8,7,3,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [4,8,2,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [3,1,8,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,8,1,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,2,3,7,1,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [6,4,8,7,1,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [2,8,4,6,7,3,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [4,3,8,2,7,6,1,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [6,8,4,2,1,3,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [7,8,2,4,3,5,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [2,8,3,7,1,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,1,2,7,3,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [6,4,1,3,2,8,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [5,3,8,6,2,1,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [4,6,5,2,8,3,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [4,3,7,5,1,8,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [6,8,5,2,7,4,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [7,2,5,4,3,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [3,6,8,1,4,5,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [6,8,1,2,4,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [8,1,6,2,4,5,3,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [3,8,6,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [5,8,1,6,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [4,1,6,5,8,2,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [4,3,8,6,2,5,1,7]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [8,3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [2,3,6,8,4,5,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [2,7,5,4,3,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [6,3,8,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [5,8,4,3,7,6,1,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [8,7,4,3,1,6,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [1,7,4,3,8,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [7,1,5,3,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [2,8,6,1,7,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [4,8,6,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [4,7,6,8,2,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [6,1,8,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [8,5,4,3,1,6,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [1,5,8,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [2,5,8,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [4,1,3,8,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>5 [6,5,8,4,3,1,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [4,6,5,2,8,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [7,2,8,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [1,8,5,2,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,8,3,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [2,8,3,1,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [4,8,3,2,5,6,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [8,2,3,1,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,1,8,3,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [1,4,8,2,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [3,1,2,7,8,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [7,5,1,8,2,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [3,5,8,1,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [4,5,8,1,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,2,7,1,8,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [3,8,4,1,2,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [5,4,8,2,3,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,8,3,6,7,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [2,3,1,6,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,4,3,7,1,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [1,4,7,3,2,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [2,7,1,4,3,8,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,4,1,8,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [8,4,1,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [6,8,5,1,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [7,3,6,5,8,2,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [7,6,3,5,8,2,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [4,5,8,7,3,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [3,5,2,8,6,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [8,2,5,6,1,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [8,6,5,4,1,2,7,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [2,6,1,8,3,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [4,7,1,6,2,8,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [6,1,5,3,8,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [2,8,6,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [7,6,1,5,8,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [3,6,8,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [6,5,2,4,8,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [5,1,4,8,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [4,8,2,5,1,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [3,4,8,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [4,2,1,8,5,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [1,5,4,8,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [7,2,1,5,8,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [2,8,4,5,1,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [5,4,8,3,7,6,1,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [3,1,5,8,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [6,3,4,8,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [5,3,4,8,1,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [7,6,1,2,8,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,5,8,4,1,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,5,8,4,6,1,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [6,5,4,8,7,1,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [6,5,4,8,1,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [7,5,1,6,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [7,5,1,6,8,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,5,4,1,8,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,5,4,7,1,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [6,5,4,7,8,1,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [6,5,3,7,1,4,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,5,3,1,8,4,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [7,5,1,4,8,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [8,1,6,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [7,5,1,4,8,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,5,3,7,1,4,8,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,4,3,1,5,8,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [7,4,1,5,3,8,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [8,1,5,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [8,1,5,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [7,4,1,5,3,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [7,4,1,5,3,2,6,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [8,1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [8,1,6,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [6,5,3,1,2,7,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [6,5,3,8,1,4,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [7,6,8,1,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [8,1,7,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [8,1,7,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [7,6,1,2,5,4,8,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [6,5,3,8,1,4,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [6,5,3,1,2,7,8,4]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [7,5,1,4,2,6,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [8,1,6,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [7,4,1,5,3,2,8,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [6,4,3,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [6,4,3,1,5,7,2,8]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [7,4,1,5,3,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [8,1,5,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [8,1,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [7,4,1,5,3,6,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [6,4,3,1,5,7,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [6,7,3,8,4,5,1,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [6,7,4,5,1,8,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [4,7,5,6,2,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [4,7,5,6,1,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,7,5,6,3,8,1,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [3,7,5,8,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [4,5,3,8,6,7,1,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [4,8,3,6,5,7,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [5,6,4,7,1,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,6,1,7,3,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,1,8,2,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,6,1,8,4,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [4,8,1,6,5,7,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [4,5,1,8,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [7,8,4,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [4,8,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [5,6,2,8,1,4,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [5,6,3,4,1,8,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [3,6,4,5,2,7,1,8]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [3,6,4,5,1,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [2,6,4,8,1,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [2,8,3,6,1,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,8,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [7,8,2,5,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [7,8,1,5,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [1,5,3,8,6,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,8,3,6,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,6,4,8,2,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [2,6,4,7,3,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [2,7,3,6,4,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [1,7,3,6,4,8,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,7,2,8,4,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [1,7,5,8,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [1,7,5,8,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [1,7,5,6,3,8,2,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [2,7,5,6,3,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [6,7,2,5,3,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [6,7,1,5,3,8,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,7,5,8,1,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [5,8,6,7,2,3,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [6,7,2,3,1,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [6,7,2,8,1,4,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [3,4,2,7,5,6,1,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,4,1,7,5,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [2,7,5,8,1,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [2,3,1,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,3,1,8,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [7,8,2,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [7,8,2,6,1,4,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [2,8,6,7,1,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [2,8,1,4,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [3,7,2,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [4,5,2,7,3,6,1,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,5,1,8,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [3,4,1,8,2,7,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,4,1,8,6,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [3,4,2,5,1,8,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,4,2,8,1,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,8,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [4,5,2,8,1,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,5,3,6,1,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [8,6,7,1,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [8,6,3,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [7,6,1,8,3,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,6,2,8,3,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,6,2,3,8,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [8,6,2,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [8,4,2,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,5,7,2,1,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [5,8,7,3,1,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [5,8,7,3,1,4,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [8,5,7,2,1,4,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [8,4,2,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,4,3,1,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [8,5,1,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [5,2,8,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [8,4,7,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [8,4,7,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,3,2,6,5,1,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [4,8,6,3,5,1,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,8,7,3,1,5,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [8,3,2,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [8,7,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,7,3,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,7,3,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [8,3,2,1,7,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [8,3,2,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [8,4,7,2,1,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [8,7,2,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [3,6,5,4,1,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [3,8,5,6,7,4,1,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [4,7,5,8,6,2,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [2,5,7,8,6,3,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [4,8,5,7,6,3,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [4,6,3,2,1,5,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [6,2,1,5,3,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [5,8,1,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [4,7,2,3,6,1,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [3,7,4,2,8,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [4,2,6,8,5,7,3,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [6,4,2,7,3,8,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [8,1,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [2,1,5,8,7,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [2,1,4,7,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [6,4,7,8,5,3,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [4,1,3,7,6,2,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [8,5,1,6,3,2,7,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [6,3,7,1,5,2,8,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [3,2,6,8,4,7,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [8,4,6,1,3,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,2,8,6,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [7,4,3,8,2,1,5,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [4,7,5,8,1,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [6,4,3,2,7,8,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [4,2,5,1,6,7,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [2,4,8,5,7,1,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [3,7,1,4,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [7,8,2,5,6,1,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [2,4,3,8,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,6,7,3,5,1,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [7,6,8,4,2,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [8,5,7,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [6,5,7,2,8,4,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [3,4,8,6,5,2,1,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [2,7,6,1,4,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [6,5,8,2,1,7,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [7,4,3,5,1,6,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [4,1,6,3,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [6,2,5,8,4,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [8,6,7,1,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [2,1,6,5,8,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [2,1,6,8,5,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [4,1,8,5,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [2,6,4,8,7,3,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [6,2,8,4,3,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [4,8,2,7,6,1,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [3,1,8,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,8,1,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [5,8,4,3,2,7,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [7,4,8,6,3,2,5,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [5,8,4,7,2,1,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [2,1,8,4,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [6,3,8,2,4,5,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [5,8,4,2,3,6,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,8,2,4,3,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [2,8,3,1,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [8,2,1,3,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [1,4,8,2,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,2,7,3,5,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,2,3,8,4,5,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [1,2,8,3,4,5,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [1,3,8,2,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,5,7,2,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,7,2,3,5,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,3,8,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,2,3,8,4,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>6 [1,8,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [1,7,8,2,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,6,7,8,2,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,7,8,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [1,7,8,2,4,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,2,8,3,6,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [1,8,2,3,6,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [1,2,8,3,5,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [1,2,7,8,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,5,2,7,8,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,3,2,8,4,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,8,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>6 [1,7,8,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [6,7,3,1,5,2,8,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [6,8,3,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [6,7,4,5,1,2,8,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [6,7,5,4,1,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [6,4,7,5,1,2,8,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [6,2,1,7,5,3,8,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,3,8,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [5,6,8,4,1,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [4,6,8,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [4,5,8,6,7,1,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,4,8,6,1,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [5,3,8,1,6,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [5,2,1,7,6,8,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [5,4,7,6,1,8,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [4,8,6,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [4,7,5,6,8,1,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,6,5,7,8,1,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [5,7,4,6,1,8,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [5,8,4,6,1,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [5,8,3,1,6,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [5,7,3,1,6,8,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [5,6,3,1,7,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,8,3,1,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [5,7,4,8,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [5,4,6,8,1,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [4,8,6,7,5,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [5,2,1,7,8,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [5,3,8,1,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [5,4,8,7,1,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [4,6,8,7,5,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [4,7,8,6,5,1,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [4,8,7,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [2,5,4,7,3,6,1,8]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [2,4,6,3,7,5,1,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [4,2,7,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [4,2,6,3,1,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [2,5,3,1,6,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [2,5,3,7,6,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [2,6,5,3,7,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [4,2,7,6,3,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [2,7,5,3,6,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [2,6,3,7,5,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [1,7,5,2,3,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [2,1,3,7,5,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,3,1,8,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,5,3,1,8,6,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>5 [4,2,8,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [8,3,2,6,4,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,6,8,2,1,4,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [1,5,2,8,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,2,6,3,8,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,2,8,3,6,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,2,7,6,3,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [2,1,3,8,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [1,2,3,8,6,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,2,3,7,4,8,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,2,7,6,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,2,3,6,4,8,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,2,3,7,6,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [2,6,3,1,8,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>4 [2,1,3,8,5,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [7,1,8,4,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [2,1,8,4,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [4,2,6,3,1,8,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [5,4,2,8,3,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [3,5,8,2,4,1,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [2,5,4,8,3,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [4,2,1,8,3,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [1,8,7,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [1,5,2,8,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,2,7,3,6,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,2,8,6,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,2,7,3,8,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,2,3,8,4,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,2,7,3,4,8,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,2,6,3,8,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,5,2,3,8,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [4,2,1,8,3,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [8,3,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [1,8,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,2,8,6,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,2,7,3,8,4,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,2,3,8,7,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,2,3,8,7,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [2,5,3,8,1,6,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>5 [3,8,5,7,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,4,8,6,1,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [2,5,7,1,4,8,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,4,8,1,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [2,4,3,8,1,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,4,8,1,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [3,5,7,6,2,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [4,8,6,7,1,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [3,8,5,7,1,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [3,2,8,5,6,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,4,8,6,2,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [5,8,6,7,3,4,2,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [5,8,6,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [5,8,6,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [4,3,1,7,5,2,8,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,3,8,5,1,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [4,8,6,7,1,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [5,8,6,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [4,2,3,8,5,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,2,4,8,6,1,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,5,7,6,1,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [4,3,8,5,2,6,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,8,5,7,1,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [3,8,4,7,1,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [3,8,4,7,2,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [4,1,2,6,7,5,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [3,4,1,7,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [4,1,7,5,2,8,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [4,8,6,7,2,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [5,8,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [5,8,6,7,4,1,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [5,8,6,7,3,1,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [4,8,6,7,3,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,1,6,7,5,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [5,8,6,7,4,2,1,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [5,8,6,7,4,3,1,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [7,3,5,8,1,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [3,8,7,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [5,1,8,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,4,7,8,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [3,4,7,1,5,8,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>6 [3,6,1,4,7,8,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>6 [1,6,8,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [6,8,1,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [7,6,1,4,3,8,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [3,8,1,6,5,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [4,1,3,7,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [6,1,7,3,8,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [7,1,8,6,3,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [3,1,7,6,5,8,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [8,2,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [8,4,2,6,7,5,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [4,8,1,6,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [7,4,1,6,8,2,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [1,3,8,6,2,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [6,1,3,2,7,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,8,6,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [4,7,2,6,8,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [8,7,3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [5,7,8,6,2,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [2,7,4,1,6,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [3,7,2,4,5,1,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [1,8,6,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [2,8,4,6,5,1,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [3,4,1,7,5,2,6,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [7,5,8,6,1,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [5,6,8,7,3,1,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [2,5,4,3,6,8,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [3,8,5,4,6,2,1,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [4,8,2,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [6,4,1,2,7,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [4,1,8,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,3,7,4,5,2,6,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [4,3,7,8,5,1,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [5,4,8,2,7,6,1,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [1,2,7,3,6,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [2,8,7,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [5,8,2,6,3,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [4,1,7,5,8,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [5,1,7,8,4,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [8,2,7,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [6,3,8,1,4,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [3,8,4,5,6,1,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [1,4,3,5,7,8,2,6]=>[[1,2,5,6,8],[3,7],[4]]=>5 [6,5,8,7,1,3,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [3,6,7,2,4,8,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [1,5,2,7,4,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [2,8,5,6,4,3,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [1,8,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [6,1,5,2,8,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [4,6,1,8,5,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [4,7,1,2,8,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>6 [1,4,7,2,8,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>6 [1,7,3,5,8,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [7,3,5,8,6,1,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [3,6,8,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [3,4,6,5,8,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [6,8,1,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [7,1,2,5,8,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [1,7,2,5,8,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [1,7,6,8,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,6,8,1,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [2,7,1,5,8,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [2,4,7,1,8,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>5 [4,7,5,8,3,1,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [4,7,2,1,8,5,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [7,6,8,2,1,3,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [1,2,7,6,8,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [3,7,6,8,2,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [7,4,2,1,6,8,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [6,7,4,1,8,5,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,7,4,3,1,8,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [2,7,4,1,6,8,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [2,3,7,6,8,1,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [7,4,2,6,8,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [7,3,2,5,8,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [3,1,7,6,8,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [3,7,6,8,1,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [1,3,7,6,8,2,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,7,4,2,6,8,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [7,4,1,2,6,8,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [7,1,4,2,8,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [7,1,8,2,5,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,3,8,4,6,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,2,8,1,6,4,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,1,6,8,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [7,1,2,6,8,5,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,7,2,6,8,5,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,7,6,8,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,6,8,3,1,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,1,5,8,6,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,2,5,8,6,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [3,6,7,1,8,5,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [7,2,6,8,5,4,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [7,6,8,2,3,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [2,7,6,8,3,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [2,7,1,6,8,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [6,7,3,1,8,5,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,7,1,8,5,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [7,2,1,6,8,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [7,6,8,3,2,1,5,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [4,7,8,5,6,1,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [4,6,5,8,7,1,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [5,6,4,8,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [8,1,5,6,7,2,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [6,4,5,1,8,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [5,4,6,7,1,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [4,3,6,7,2,1,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [5,3,6,7,1,4,2,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [8,1,4,6,7,3,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,1,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,2,1,6,8,4,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [5,2,6,7,1,4,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [4,2,6,7,3,1,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [6,2,4,1,5,8,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [7,2,1,5,4,8,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [8,1,4,5,3,7,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [7,3,1,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [6,3,4,1,5,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [5,3,4,2,1,8,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,3,5,2,7,1,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [5,6,3,8,1,4,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [8,1,7,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [7,6,1,2,4,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [4,7,8,2,3,1,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [5,6,2,8,1,4,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [6,5,2,1,3,7,8,4]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [7,5,1,3,2,6,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [8,1,6,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [7,4,1,3,5,2,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [5,4,2,3,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [7,3,1,4,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [8,1,4,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [6,2,3,1,5,7,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [7,8,4,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>4 [7,8,4,2,1,5,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [7,8,3,4,6,2,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,2,3,8,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [6,2,3,7,8,5,1,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [5,2,6,3,8,1,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [6,4,3,8,7,5,1,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [6,2,4,1,7,3,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>5 [4,5,6,8,3,2,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [5,6,1,4,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [5,6,8,4,3,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,2,8,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [4,6,5,8,3,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [6,2,3,4,5,8,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [5,1,4,3,6,2,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,1,4,3,7,2,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [5,1,4,3,8,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [5,6,2,4,1,7,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,7,2,4,1,8,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [6,1,4,2,7,8,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [5,2,7,4,1,6,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [5,1,6,3,4,2,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [4,8,6,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [4,8,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [5,4,7,8,3,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [5,4,8,7,3,2,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [4,7,6,8,3,2,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [5,7,1,3,4,2,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,1,8,4,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [5,1,7,4,2,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [5,8,1,3,4,2,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [4,8,7,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [4,8,2,6,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [4,3,8,1,6,2,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [4,3,8,7,2,5,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [5,8,4,3,7,1,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [6,8,1,2,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [5,8,7,1,3,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [4,8,7,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [4,3,8,2,7,5,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [1,4,3,8,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [4,3,2,8,1,6,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,1,3,8,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [4,1,8,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [3,7,8,1,5,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [7,3,8,1,5,4,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [3,4,8,1,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [3,4,2,1,8,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,6,7,8,4,1,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [4,1,7,8,5,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [3,7,6,8,4,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [3,7,8,2,6,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [4,2,3,8,1,6,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [4,3,1,8,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [2,6,8,4,7,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [7,6,2,8,3,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [3,2,4,8,1,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [2,4,8,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [7,4,1,8,5,2,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [1,3,2,4,8,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,1,2,4,8,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,1,4,8,2,6,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [3,7,4,8,5,1,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [6,7,2,8,3,5,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [2,1,3,4,8,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [1,2,3,4,8,6,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [4,8,3,6,2,1,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [3,5,8,2,6,1,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,6,5,8,2,4,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [5,3,8,7,2,4,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [2,8,4,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,4,5,7,3,8,1,6]=>[[1,3,5,6,8],[2,7],[4]]=>5 [6,2,4,5,8,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [4,8,1,2,5,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [8,1,3,5,2,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [5,2,1,6,3,8,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [6,2,5,1,8,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [3,6,1,5,8,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [6,1,4,5,8,3,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [5,6,4,8,1,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [6,5,4,3,8,2,1,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [5,4,3,7,2,8,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [5,8,4,3,7,2,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [4,6,8,3,7,2,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [7,4,6,3,2,8,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [1,4,3,6,2,7,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,5,4,3,7,2,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [4,7,8,5,3,1,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [5,7,3,4,1,2,8,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [8,5,4,7,6,2,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [8,5,7,4,3,6,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [4,3,8,1,6,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,7,8,3,6,1,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [5,3,8,6,7,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [1,3,8,6,4,7,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [8,6,2,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [7,6,2,1,4,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [7,6,1,3,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,5,7,3,2,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [1,6,7,3,2,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [3,2,6,8,5,7,4,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [5,8,2,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [7,5,2,3,1,6,8,4]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [1,6,4,7,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [3,1,7,5,2,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [2,5,7,4,1,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [4,2,6,1,7,8,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,2,7,6,3,8,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [6,4,8,7,2,3,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [3,2,6,8,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [3,2,7,4,1,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [6,3,2,1,7,8,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [3,7,1,8,4,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [4,2,1,3,7,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [8,1,3,7,4,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,4,3,7,6,2,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [8,3,5,2,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,6,2,8,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [7,3,2,8,1,6,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>3 [3,8,7,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [4,2,7,8,6,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [6,8,2,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [5,2,1,8,7,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,2,1,6,3,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [6,8,3,1,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [5,8,1,6,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [6,2,8,1,5,7,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [5,7,8,2,6,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [8,7,2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [8,6,7,5,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [7,2,6,8,1,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [1,2,7,8,5,6,4,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,4,8,1,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [3,7,1,8,2,6,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [2,1,7,3,8,6,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [8,2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [8,1,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [8,6,7,5,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [7,8,6,5,4,1,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [5,8,4,3,2,1,6,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [6,4,7,3,2,1,8,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,5,3,7,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,8,3,6,2,1,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,3,7,6,2,1,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [3,8,7,6,2,1,4,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [5,8,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [4,8,7,2,5,1,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [4,8,3,2,5,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,3,7,2,5,1,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [6,4,2,7,5,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,2,7,8,5,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [5,2,7,6,8,1,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [4,2,7,6,5,1,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [2,8,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [6,5,4,3,1,7,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [6,4,7,3,1,5,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [5,4,7,3,1,8,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,4,3,6,1,8,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,3,7,6,1,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [4,3,7,6,1,5,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [3,8,7,6,1,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [4,8,7,2,1,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [5,8,3,2,1,4,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [3,8,7,2,1,4,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [5,8,2,6,1,4,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [6,4,2,7,1,5,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [3,2,7,6,1,4,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [5,8,4,1,6,7,3,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [6,4,7,1,5,8,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [4,8,7,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [4,8,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [5,8,2,1,6,4,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [3,8,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [6,2,7,1,5,4,3,8]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [5,2,7,1,6,4,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [3,2,7,1,5,4,6,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [2,8,7,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [6,4,1,7,5,8,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [5,4,1,6,7,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [6,3,1,7,5,4,8,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [5,3,1,6,7,4,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [4,3,1,6,5,7,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [2,8,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [6,1,7,8,5,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [4,1,7,6,5,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [4,5,8,1,2,6,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [1,4,5,7,2,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [1,7,3,5,6,2,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [8,1,3,5,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [3,6,8,1,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [3,4,5,6,8,1,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [4,5,8,2,6,7,1,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [8,2,3,5,6,7,1,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [1,7,2,3,5,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [8,1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [2,7,8,1,3,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,7,8,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [2,4,5,7,8,1,6,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [4,5,8,1,7,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [4,5,8,7,2,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [8,7,3,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [8,7,2,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [3,6,8,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [8,6,4,1,7,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [7,6,4,3,1,8,5,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [2,3,6,7,8,1,5,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [3,6,8,1,2,5,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,3,6,7,2,5,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [7,4,1,8,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [7,1,4,2,8,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,1,8,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [8,1,7,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [1,7,2,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,7,6,3,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [8,6,3,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,1,7,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [8,2,5,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [3,6,8,1,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [8,2,6,7,5,4,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [2,7,8,6,3,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [2,7,8,1,6,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [7,3,1,8,6,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [8,7,2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [8,7,6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [2,1,8,6,3,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [8,6,1,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [8,5,1,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [2,1,7,5,4,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [2,1,7,8,3,6,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [2,1,4,8,5,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [8,5,3,1,6,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [6,4,1,5,2,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [8,3,7,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [5,3,7,4,6,8,1,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [5,8,3,7,6,2,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [4,2,6,3,8,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [5,8,2,1,7,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [8,3,2,4,1,7,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [7,2,8,1,4,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [6,8,1,4,5,3,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [8,2,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [8,3,5,6,1,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [6,3,5,4,1,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [8,7,3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [2,7,4,3,6,1,8,5]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [3,4,7,2,8,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [4,2,3,5,8,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,8,4,7,1,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,3,4,5,7,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [3,2,4,5,6,8,1,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [5,6,8,1,4,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [1,5,7,8,4,6,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [1,3,5,7,8,6,2,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [3,5,7,8,6,1,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [3,5,1,6,8,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [3,1,5,6,8,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,3,5,6,8,1,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [5,6,4,8,2,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,1,6,3,8,4,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>5 [2,5,1,6,8,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [5,1,2,6,8,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,7,1,8,6,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,5,2,7,8,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,6,7,5,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,1,7,5,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [2,6,7,5,1,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [5,7,2,8,6,1,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [3,5,7,8,6,2,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [5,1,7,8,6,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [5,1,3,7,8,6,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [5,2,7,8,4,6,1,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [3,2,5,7,8,6,1,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [6,2,7,5,1,8,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [1,2,6,7,5,8,3,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [6,2,7,5,4,1,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,7,5,2,4,1,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,7,2,5,3,8,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [6,7,4,5,2,1,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [5,1,7,8,6,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [2,5,7,8,6,3,1,4]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [5,1,7,8,6,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [6,3,7,5,1,8,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [1,6,7,5,3,8,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,6,7,5,4,2,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [6,7,5,1,4,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [5,7,8,6,4,1,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [4,1,7,2,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [2,4,7,1,5,6,8,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [6,7,4,1,5,2,8,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [1,6,7,4,5,2,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,6,3,7,5,8,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [6,3,1,7,5,8,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [2,5,3,7,8,6,1,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [6,7,5,4,2,1,8,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [6,3,2,7,5,8,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,7,4,2,5,1,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,2,7,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [6,2,3,7,5,8,1,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [7,5,1,6,3,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [2,7,6,1,3,8,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [7,3,5,1,8,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [7,3,5,1,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [3,7,5,1,8,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [2,6,7,4,1,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [2,1,6,7,3,8,5,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [3,6,5,1,8,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [3,6,5,1,8,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [4,6,1,5,8,7,3,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [7,5,1,6,2,8,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [2,3,4,7,8,1,6,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [6,8,5,4,3,2,7,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [8,9,6,5,4,3,2,1,7]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>3 [6,8,5,4,3,7,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [5,8,4,3,2,1,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [6,5,4,3,1,8,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [8,7,5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [8,3,4,6,2,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,5,6,2,1,8,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,5,2,6,8,4,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [7,5,3,2,8,4,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [7,5,3,2,8,4,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [2,4,5,7,3,8,6,1]=>[[1,3,5,6,8],[2,7],[4]]=>5 [4,2,5,6,8,3,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,2,8,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [2,5,6,1,8,4,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [5,3,6,8,1,4,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [4,5,6,8,1,3,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [1,4,5,6,8,3,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [4,5,6,3,8,2,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,5,3,7,2,8,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [6,4,7,3,2,8,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,1,4,7,3,2,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,7,8,4,5,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [5,1,7,3,8,4,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [2,5,1,7,4,3,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,5,7,4,1,8,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [5,3,7,1,4,8,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [6,4,3,1,7,8,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,4,1,7,3,8,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [5,6,3,7,8,4,2,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,1,6,3,7,8,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,1,3,7,8,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,1,7,8,3,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>6 [1,6,3,7,4,8,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,7,2,4,1,8,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,7,2,1,4,3,8,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,4,7,3,1,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [5,6,3,1,2,7,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,1,3,2,7,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,3,2,1,7,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [2,5,6,3,7,8,4,1]=>[[1,3,4,7,8],[2,6],[5]]=>6 [2,5,6,3,1,7,8,4]=>[[1,3,4,7,8],[2,6],[5]]=>6 [2,6,4,7,3,1,8,5]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,3,7,2,8,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [6,3,7,2,8,4,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [6,3,2,7,1,8,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [7,5,3,2,1,8,4,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [7,3,8,4,2,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [4,7,2,1,3,8,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [1,3,7,8,6,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,3,8,4,6,2,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [5,7,3,8,2,1,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [6,3,7,8,5,2,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [4,6,2,7,8,5,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,6,2,1,7,8,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [7,4,5,8,1,2,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [2,5,1,7,3,8,6,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [6,7,2,1,3,8,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [5,1,6,7,8,2,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [6,3,7,1,8,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [6,2,1,7,3,8,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,2,7,1,8,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,3,1,7,8,5,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [4,1,3,6,8,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,2,3,6,8,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [5,3,2,1,8,4,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [3,6,5,8,2,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [4,5,2,1,3,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [3,2,6,4,5,8,1,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,4,6,5,8,1,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [1,6,2,4,5,8,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [5,3,2,1,6,8,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [6,2,4,5,8,1,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [1,3,4,6,5,8,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [1,6,3,4,5,8,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [3,4,1,8,5,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [2,8,4,1,7,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [8,1,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,5,3,2,8,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [8,2,1,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [1,7,6,4,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [5,8,7,4,1,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [5,8,7,4,6,2,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [3,4,2,5,8,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [4,1,3,5,6,8,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>5 [2,4,8,6,7,1,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [4,3,6,2,8,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [3,7,4,8,2,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [2,3,5,8,6,7,1,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [3,2,5,6,8,7,1,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [2,1,8,5,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [1,2,8,3,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>6 [4,2,3,7,1,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [3,2,6,4,8,1,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [8,2,1,6,7,3,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,7,8,5,4,1,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [1,7,5,3,8,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [4,7,5,3,1,2,8,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [7,2,4,8,5,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [4,8,3,1,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [3,5,2,7,4,1,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [8,4,2,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,8,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [8,2,4,6,7,1,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [4,8,2,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [3,5,2,7,6,1,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [1,6,3,2,5,8,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [5,8,3,2,1,6,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,8,7,3,4,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [5,8,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [5,1,4,2,8,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [4,7,6,5,8,2,1,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [5,3,7,1,6,2,8,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [5,2,6,8,7,1,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [6,3,2,1,8,5,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [2,7,5,4,1,8,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [4,2,5,6,8,7,1,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [1,8,4,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [3,8,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [4,2,8,5,6,7,1,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [5,2,4,7,1,8,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [5,3,4,7,1,8,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [8,6,4,1,3,2,5,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [8,1,3,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,1,4,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [3,6,5,2,1,8,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [8,3,2,4,6,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,4,2,1,6,5,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [8,4,1,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,6,4,2,1,5,3,7]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [8,3,6,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [8,2,6,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [1,3,4,8,5,7,2,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [5,8,4,7,6,2,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [1,3,4,7,5,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,3,5,2,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [2,6,5,1,3,8,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [4,7,1,6,5,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [5,4,8,7,6,3,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [2,8,5,1,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [4,3,1,5,8,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [4,1,3,5,8,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>5 [6,5,3,8,4,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [5,4,2,1,6,8,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [6,8,4,3,2,7,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [3,4,7,8,2,1,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [5,1,3,2,8,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [5,3,1,2,8,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [5,2,3,1,6,8,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [5,3,2,1,8,6,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,2,1,3,6,8,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [2,4,7,3,8,1,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [6,3,8,2,7,4,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [8,2,1,3,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [3,5,1,7,8,4,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [2,7,4,5,8,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [1,8,4,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [3,4,8,7,2,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [5,4,7,8,3,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [6,4,3,8,7,2,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [6,3,8,7,4,1,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [3,5,7,2,4,8,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [8,4,7,2,3,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,4,7,1,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [8,4,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,6,4,2,1,3,7,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [8,6,4,1,3,2,7,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [8,6,4,2,3,1,7,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [3,5,7,2,6,1,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [6,1,3,8,5,7,2,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [5,8,3,2,6,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [4,8,5,3,6,2,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [2,8,1,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [1,5,8,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [2,1,7,6,4,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [1,7,2,4,6,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [3,5,1,7,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [5,8,2,6,1,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [6,3,5,8,7,2,1,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [2,5,7,8,4,1,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [4,2,8,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,1,5,2,6,8,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [3,4,5,1,6,8,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [4,2,8,5,1,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,1,8,5,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [2,7,1,8,5,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [5,8,6,2,1,3,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [8,2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [4,6,3,5,8,1,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [1,7,8,3,5,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [3,4,5,1,8,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [3,8,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [3,4,5,7,8,2,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,4,6,2,8,5,1,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,4,6,8,1,5,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [3,4,7,2,1,8,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,4,8,2,1,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,5,2,7,8,4,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,6,2,8,4,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,5,6,8,4,1,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [3,5,7,2,4,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,7,2,8,4,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,7,8,4,1,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,6,2,1,8,5,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [3,6,7,2,8,5,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,6,8,2,4,5,1,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,7,2,1,4,8,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [3,7,2,8,4,5,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,8,2,1,4,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [4,1,5,6,7,8,3,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [4,1,6,3,7,8,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,1,6,3,8,5,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,1,6,7,3,8,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,1,6,8,3,5,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,1,7,3,2,8,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [4,1,8,3,2,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [4,5,2,6,8,1,3,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,5,7,3,8,1,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,5,8,3,2,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,6,2,7,8,5,1,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,6,7,3,2,8,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,7,2,8,3,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>5 [4,7,8,3,2,5,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,8,2,3,1,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [5,1,2,6,8,4,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [5,1,6,3,8,4,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [5,6,2,3,8,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [5,6,2,7,8,4,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,6,8,3,4,2,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,7,2,3,4,8,6,1]=>[[1,3,4,6],[2,7,8],[5]]=>5 [5,7,8,3,4,2,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,8,2,3,4,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [6,1,2,3,7,8,5,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [6,1,2,3,8,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [6,1,2,7,8,5,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [6,1,7,3,8,5,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,1,7,8,4,5,3,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,1,8,3,4,5,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [6,7,2,3,8,5,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [6,7,2,8,4,5,3,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [7,1,2,3,4,8,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [7,1,2,8,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [7,1,8,3,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>6 [6,4,1,8,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [5,8,1,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,3,5,7,2,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [3,5,8,6,1,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [3,1,6,8,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [3,6,2,8,1,5,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [2,6,1,3,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [1,7,5,2,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [2,7,5,1,3,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [8,2,5,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [8,2,1,3,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,2,5,1,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [8,2,7,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [8,2,6,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [7,6,5,2,4,8,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [7,8,2,5,3,1,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,1,8,6,3,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,8,1,5,3,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,6,7,5,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [6,5,1,2,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [7,8,1,6,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [8,4,1,2,5,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,7,3,6,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [8,1,3,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [7,3,2,6,5,1,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [7,8,4,2,5,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [8,2,7,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,2,3,6,5,1,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [1,8,7,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [2,8,7,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [1,8,7,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [1,9,8,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>3 [7,2,8,6,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [7,2,8,5,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [6,3,2,8,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [8,4,7,2,5,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [6,8,5,4,3,1,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [5,8,6,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [4,8,6,1,5,3,7,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [3,6,1,8,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [3,4,1,2,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [6,8,3,5,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [7,2,5,8,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [1,7,5,6,3,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [7,2,6,8,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [7,6,3,8,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [7,2,6,4,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [1,5,7,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>5 [4,2,3,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [5,2,8,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [8,6,3,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [6,8,3,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [1,6,3,2,5,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [8,3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [6,3,7,1,5,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [2,5,1,8,4,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [6,2,5,4,8,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [4,3,1,6,5,8,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>4 [1,3,5,4,6,8,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [6,1,3,4,5,8,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [8,3,4,1,5,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [7,5,4,2,6,8,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [8,2,6,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [7,3,8,4,5,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,2,5,1,8,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [1,7,3,2,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [8,7,2,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [3,6,1,5,8,7,4,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [8,3,6,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [5,4,6,8,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [6,4,7,2,3,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,8,4,1,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [3,4,7,8,6,2,5,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [4,1,3,5,7,8,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>5 [6,5,1,8,4,7,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [5,3,1,8,4,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [8,2,7,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [4,7,3,2,8,1,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [6,3,1,4,7,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [8,7,3,6,1,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [7,4,3,6,8,2,5,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [2,4,7,3,8,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>5 [2,8,6,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [7,8,2,5,4,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [1,8,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,5,3,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [5,7,3,2,4,1,8,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [2,8,3,4,7,1,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [4,1,3,6,7,8,2,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,7,6,3,2,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [3,8,1,5,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [8,2,5,6,1,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [7,1,5,2,8,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [6,5,4,8,7,2,1,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [1,8,6,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,8,5,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [3,6,2,1,7,5,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [2,5,4,1,8,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [4,7,2,6,5,8,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [6,8,1,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [6,3,4,7,1,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [3,4,7,8,2,5,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>5 [1,8,2,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>6 [5,2,4,1,6,8,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [3,2,5,7,6,1,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [4,3,5,6,1,8,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [5,3,4,1,7,6,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,1,4,6,5,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [1,4,7,3,5,6,8,2]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,3,2,7,5,8,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>5 [1,2,6,4,8,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,3,2,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [1,3,2,8,5,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,5,2,4,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,2,6,4,8,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,2,7,8,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [1,3,8,2,6,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,6,7,8,2,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,5,7,8,2,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,5,2,7,8,4,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>5 [1,3,6,2,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,6,7,3,4,8,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,5,3,7,4,8,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>5 [2,8,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [1,3,8,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,2,7,4,8,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [1,2,6,4,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,5,2,4,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,8,3,5,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,3,8,6,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,2,6,8,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [1,6,7,8,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,5,7,8,6,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,4,7,6,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [2,3,8,7,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [1,2,6,8,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,2,7,8,6,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [5,2,6,7,3,4,8,1]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,2,4,7,6,3,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [5,6,2,1,7,8,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,6,2,1,4,8,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [2,6,1,4,5,8,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [5,4,2,7,6,3,8,1]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [2,3,7,6,4,5,8,1]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [2,6,1,7,5,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [2,6,1,7,4,8,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>5 [5,1,2,7,8,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [2,6,1,7,4,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [3,6,4,1,7,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [5,4,6,1,3,8,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [3,6,4,1,5,8,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [2,6,1,5,4,8,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [2,6,1,4,7,8,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>5 [5,1,2,4,8,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>5 [5,1,2,4,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [5,1,2,4,8,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,2,3,8,5,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [4,3,1,2,8,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [2,1,5,3,8,6,4,7]=>[[1,3,4,7],[2,5,6],[8]]=>5 [1,2,3,8,5,6,4,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [1,2,3,8,6,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [1,2,3,8,6,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [1,2,3,8,5,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [2,6,1,5,4,8,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [5,1,2,4,8,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [5,1,2,4,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [5,6,3,1,4,8,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [2,5,4,3,1,8,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,4,6,3,1,8,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [3,6,4,5,1,8,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [3,6,5,4,1,8,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [5,2,6,1,7,8,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,1,6,2,8,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [2,1,3,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,1,3,7,8,5,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>5 [5,2,4,1,7,8,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [4,3,1,2,8,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [5,1,4,2,8,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [2,1,3,6,8,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [1,2,3,8,6,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,2,3,8,7,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [1,2,3,8,7,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [1,2,3,8,5,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [2,1,3,6,8,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [5,4,1,2,8,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [3,1,6,2,8,7,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [1,2,3,4,5,9,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>8 [1,2,3,4,9,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>8 [1,2,3,9,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>8 [1,2,9,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>8 [1,2,3,4,5,6,7,10,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9 [1,2,3,4,5,6,10,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9 [1,2,3,4,5,10,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9 [1,2,3,4,10,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9 [1,8,3,4,2,5,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,2,3,10,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9 [1,8,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [1,2,10,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9 [8,4,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>2 [8,4,7,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [8,5,7,4,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [8,7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>2 [8,6,7,3,5,4,2,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [8,5,7,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [8,1,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [8,1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [8,2,7,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [8,3,7,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [8,5,7,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [8,6,7,2,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [8,7,6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>2 [8,4,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [8,3,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [8,2,7,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [8,1,7,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [8,7,6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [8,1,7,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [8,3,7,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [8,4,7,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [8,5,7,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [8,6,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [8,5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [8,3,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [8,7,6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [8,7,6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [8,7,6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [6,8,1,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [6,8,1,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [7,8,3,6,1,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,8,2,5,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,8,2,5,1,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,8,1,4,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [5,8,1,4,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,8,2,5,1,4,3,7]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [6,8,2,5,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,8,2,5,4,7,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [2,5,4,7,6,8,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [2,5,3,7,6,8,1,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [2,5,1,4,3,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,6,1,4,3,7,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>5 [2,6,5,8,1,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [2,6,1,5,3,7,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>5 [2,6,3,7,4,8,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [2,6,4,7,5,8,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [5,8,3,6,4,7,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [5,8,2,6,4,7,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [4,8,2,6,3,7,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [4,8,1,5,3,7,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [4,8,1,5,2,6,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [4,8,3,7,1,5,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [6,8,3,7,1,4,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [5,8,1,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [5,8,4,7,1,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,8,4,7,1,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [6,8,5,7,1,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [5,7,6,8,2,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [4,7,6,8,1,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [4,7,5,8,1,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [4,7,1,3,2,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>4 [3,7,1,4,2,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,7,5,8,1,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [3,7,6,8,1,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [3,7,6,8,2,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [4,7,6,8,2,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [4,7,5,8,3,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [4,7,5,8,2,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [3,7,5,8,2,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [3,7,4,8,2,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [3,7,4,8,1,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [3,7,1,5,2,6,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>5 [3,7,2,6,1,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,7,2,6,5,8,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [4,7,3,6,5,8,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [3,6,5,8,4,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [2,6,5,8,4,7,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [2,6,5,8,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [2,6,3,7,1,5,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>5 [7,6,4,2,8,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [6,8,4,3,7,2,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [6,7,4,3,5,1,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,7,3,5,4,8,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [7,6,8,3,5,2,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [7,6,3,5,8,2,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [7,6,4,2,5,1,8,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [7,6,3,8,2,4,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [6,3,4,8,7,2,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [6,3,8,4,7,2,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [6,2,8,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [6,2,7,4,1,5,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>5 [6,3,4,7,5,8,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [6,3,5,7,8,4,2,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [5,6,8,3,7,2,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [4,6,8,3,5,7,2,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [5,3,8,2,4,1,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,8,3,6,2,5,7,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,7,8,3,5,6,2,1]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [6,4,3,5,8,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [6,3,5,8,7,2,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [5,8,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [5,8,4,2,3,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,8,4,2,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [6,4,5,3,8,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [6,4,8,5,3,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [6,4,3,8,5,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [6,4,2,8,5,3,1,7]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [5,6,3,4,8,2,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [6,4,2,5,1,7,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [5,3,7,2,4,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [4,5,8,3,6,7,2,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,5,8,3,7,2,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [5,3,6,8,2,1,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,3,6,7,1,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [4,6,3,5,7,8,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,5,7,3,6,8,2,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [5,7,4,8,6,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,5,6,7,2,8,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [4,5,6,7,8,9,3,2,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [3,2,5,4,7,6,9,8,1]=>[[1,4,6,8],[2,5,7,9],[3]]=>4 [3,4,5,6,7,8,9,2,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [5,4,3,2,1,10,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>2 [4,7,3,9,6,2,10,8,5,1]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>4 [4,5,6,7,8,9,10,3,2,1]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>7 [3,4,5,6,7,8,9,10,2,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>8 [1,6,2,5,3,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,3,8,2,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,7,2,3,6,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,6,8,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [1,8,2,5,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,8,2,3,6,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,3,5,2,8,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,2,7,3,5,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,8,2,7,3,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,5,8,2,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,6,8,2,3,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [5,3,6,1,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [7,1,5,8,4,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [8,1,5,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [7,1,4,5,8,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [7,4,1,6,2,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [8,4,1,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [8,1,4,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,1,5,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [2,1,7,5,8,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [7,1,5,4,8,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,1,4,8,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [6,4,1,7,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [7,8,3,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [8,7,1,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,6,1,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,6,1,8,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,3,8,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [8,3,7,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,3,6,1,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [8,3,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [7,3,6,1,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [6,7,1,8,4,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,8,1,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,1,8,5,4,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,1,8,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [2,1,7,8,5,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [7,6,3,1,2,4,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,1,2,3,8,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,8,1,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [6,8,3,1,2,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [6,7,3,1,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,7,1,4,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [4,3,6,8,5,7,1,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [6,1,2,5,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [7,2,1,5,8,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [1,3,6,8,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,2,8,5,7,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [2,6,1,5,8,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [5,7,1,6,8,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [4,8,1,2,5,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [8,3,6,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [1,7,8,4,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [2,7,3,1,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,7,4,6,8,1,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,7,5,8,6,4,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [8,2,6,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [3,4,2,7,8,1,6,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [6,5,8,7,1,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [4,1,7,3,8,5,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [3,6,1,4,5,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [1,6,7,4,5,3,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [6,1,7,3,5,4,8,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,4,7,2,8,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [5,6,8,7,2,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [6,8,5,7,1,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [8,2,4,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [6,8,2,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [2,7,8,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [4,8,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [4,1,6,8,5,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [5,2,6,4,8,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [6,7,1,3,4,5,8,2]=>[[1,2,4,5,8],[3,7],[6]]=>6 [1,7,3,2,4,8,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [6,3,4,2,8,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [4,3,8,7,5,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [6,8,7,4,2,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [3,6,4,5,2,8,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [8,6,1,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [5,3,8,6,1,2,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [2,5,6,3,4,8,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>5 [2,5,3,6,8,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [4,8,7,3,5,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [3,8,7,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [6,3,5,4,8,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [4,3,8,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,7,6,2,5,3,8,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [7,5,2,6,8,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [8,5,2,7,1,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [1,8,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [5,1,7,2,4,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [1,5,3,4,8,6,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [5,4,1,3,8,6,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,1,8,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [4,5,2,8,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [8,2,3,7,6,4,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [5,8,2,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [6,8,2,5,3,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [7,2,5,6,4,8,1,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [1,6,7,4,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [7,1,3,5,8,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [8,2,1,3,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [6,3,1,4,7,5,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [4,1,3,8,2,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [2,8,3,6,7,5,4,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [3,1,7,2,8,5,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [3,6,1,4,7,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [1,5,8,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [7,1,3,6,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [6,2,7,4,5,8,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [2,1,8,4,5,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [1,8,5,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [2,1,8,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,7,4,1,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [7,4,8,6,2,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [2,7,1,4,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [4,7,5,6,8,1,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [7,1,3,2,8,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [2,8,5,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [5,1,7,4,2,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [3,8,6,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [1,3,4,8,6,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [4,1,8,6,5,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [4,8,5,2,7,3,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [7,2,8,5,3,6,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [5,2,8,4,3,7,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [8,4,7,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [7,5,2,8,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [5,7,4,3,6,2,8,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [6,7,5,1,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [5,2,6,8,3,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>5 [7,6,2,4,5,8,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [3,6,8,4,7,2,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [7,6,3,8,4,2,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [2,6,3,8,4,7,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,2,3,6,5,8,4,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [6,2,7,5,8,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [2,8,3,6,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [2,1,5,6,8,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [5,8,1,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [1,6,8,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [6,5,7,2,8,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [7,5,1,2,8,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [5,4,8,3,6,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,8,2,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [6,4,5,8,2,7,3,1]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [5,7,3,6,4,8,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [1,5,6,4,8,2,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [3,1,5,6,4,8,7,2]=>[[1,2,6,7],[3,4,8],[5]]=>5 [3,5,1,6,4,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [1,2,6,4,3,8,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [1,2,6,3,5,8,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>5 [2,3,5,1,8,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,3,6,1,8,5,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [1,2,7,3,6,8,5,4]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [2,3,6,1,8,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [1,2,5,8,4,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,3,6,8,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [1,2,6,8,5,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,3,5,8,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,4,6,8,3,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [1,3,7,5,6,8,2,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,2,6,7,3,8,5,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,2,5,7,3,8,6,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [3,1,5,7,6,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,5,4,6,8,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [2,3,6,5,8,7,1,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [1,2,7,5,6,8,4,3]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [3,1,6,7,5,8,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [4,6,2,7,5,8,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [3,5,7,4,8,2,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [2,4,7,6,8,3,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [1,4,6,8,3,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [1,3,5,8,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,2,5,8,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,2,5,8,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,3,5,8,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [5,7,1,2,8,6,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,4,5,7,2,8,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [5,3,4,7,2,8,1,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,2,7,4,6,8,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [5,3,6,2,7,1,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [2,6,3,4,7,1,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [2,7,3,4,5,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [3,7,4,5,6,8,1,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [2,5,7,3,6,8,1,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [4,7,6,2,3,8,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [7,3,5,2,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [7,6,2,4,5,8,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [6,5,2,3,4,8,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [5,3,1,2,8,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [6,5,2,3,7,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [5,2,1,7,3,4,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>5 [5,2,1,8,3,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [6,3,2,8,4,5,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [7,3,1,2,8,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [6,4,1,3,8,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,2,3,1,8,4,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [8,3,5,2,7,1,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [8,6,2,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [8,5,2,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [8,2,1,7,3,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [8,6,3,7,2,4,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [7,1,6,2,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [8,2,7,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [8,1,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [8,1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [8,6,1,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,1,5,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [1,7,5,8,2,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [7,2,1,8,3,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [7,3,8,2,4,5,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,2,8,3,4,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>6 [1,7,8,3,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,4,5,8,3,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>5 [2,5,7,1,8,3,6,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [6,2,7,1,8,4,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [4,7,1,3,8,5,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>5 [1,6,2,8,4,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>5 [4,1,3,6,8,2,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [5,3,4,6,8,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,6,3,8,7,1,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [6,4,5,8,7,1,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [5,3,4,8,7,1,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [3,2,8,7,1,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,1,8,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [5,3,7,6,1,2,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [1,8,3,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,8,1,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [6,8,2,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>4 [4,7,8,2,6,1,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [6,2,8,7,1,4,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [3,8,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [2,8,6,1,3,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,7,6,1,3,4,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>5 [1,7,6,2,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,8,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [2,8,7,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [3,8,7,2,4,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [7,8,3,6,2,4,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [1,5,8,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [8,7,6,1,3,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [3,6,2,4,7,1,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,4,7,2,5,1,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [2,1,6,4,8,5,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [4,1,8,5,3,2,7,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [3,6,2,5,7,1,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>4 [1,2,8,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [6,1,3,2,8,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [5,6,1,2,8,4,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [1,6,3,8,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [4,3,8,1,2,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [1,2,3,4,5,10,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>6 [11,12,9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>7 [3,1,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>8 [2,4,1,3,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]]=>7 [3,6,8,7,1,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [6,5,7,2,4,8,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [3,4,1,6,5,8,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>5 [3,5,1,2,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [3,7,5,2,1,4,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,8,5,2,7,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [5,2,8,4,7,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [5,2,7,4,1,3,6,8]=>[[1,3,6,8],[2,4],[5,7]]=>4 [4,3,5,1,2,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [3,1,4,6,2,8,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [1,4,6,5,2,8,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [3,4,5,6,1,8,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [3,4,5,8,7,2,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [1,4,7,2,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [8,4,7,5,2,1,6,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [8,1,4,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,8,5,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [6,3,5,1,7,4,2,8]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [6,1,4,8,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [6,4,8,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [5,4,8,1,6,3,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [1,4,8,6,3,7,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [5,4,7,6,3,8,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [4,6,3,7,5,8,1,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,1,3,5,8,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [5,7,4,3,8,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [1,4,8,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [4,3,8,2,1,6,5,7]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [3,8,4,2,7,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [3,1,2,5,7,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,8,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [3,8,1,6,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [3,7,2,6,8,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [7,2,3,8,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [8,2,1,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,1,3,6,5,7,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [8,2,4,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [1,7,8,5,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [1,8,4,5,3,2,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [7,8,5,4,3,1,6,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [7,1,6,3,4,2,5,8]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [6,8,7,1,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [3,6,1,4,2,7,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>6 [3,4,1,8,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [3,6,5,1,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [3,8,5,6,7,2,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [8,1,7,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,5,6,1,4,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,6,5,4,7,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [1,6,4,5,7,2,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [8,3,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,8,6,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [1,7,5,3,6,8,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [7,4,1,6,5,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [4,1,5,8,7,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [1,2,5,8,6,7,3,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [4,2,1,5,8,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [5,2,4,6,1,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [1,5,3,6,8,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [3,5,4,6,1,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [3,1,5,7,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [1,4,5,6,8,7,2,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,4,6,3,7,2,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,7,3,6,5,2,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [8,6,2,5,4,1,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [3,7,2,6,5,4,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [7,6,2,5,4,3,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [4,7,5,2,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [3,2,6,4,7,5,1,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [6,2,3,7,5,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [1,3,4,7,6,2,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [2,8,3,6,1,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,7,2,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [3,8,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [7,8,2,5,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [4,8,5,2,6,1,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,5,1,3,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [6,1,3,7,5,2,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [7,1,3,6,2,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [8,1,3,6,2,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,2,4,7,3,8,6,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [7,1,8,2,6,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [3,1,8,6,2,7,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [4,1,7,8,2,6,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [5,6,1,8,2,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [4,2,7,8,1,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [3,2,8,6,1,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [7,2,8,1,6,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [1,8,7,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [2,8,7,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [3,8,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [4,8,7,5,1,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [6,7,8,5,1,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [5,6,3,8,4,1,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [7,3,8,5,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [3,4,8,6,5,1,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [8,3,7,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [1,4,8,6,2,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,4,6,7,1,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [5,6,4,7,8,1,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [3,4,6,5,1,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [7,3,5,1,2,8,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [1,4,6,2,3,8,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [1,3,2,7,4,8,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [7,2,1,6,3,8,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [2,3,1,7,6,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [4,5,2,1,7,3,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [5,6,7,1,2,8,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [4,7,5,1,2,8,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [3,7,1,6,2,8,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [7,6,1,2,8,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [2,7,1,3,8,6,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [8,6,1,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [1,7,2,3,8,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [8,7,1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [7,8,1,2,6,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [3,8,1,6,2,7,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [4,8,5,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [5,6,8,1,2,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [2,1,3,7,4,8,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [4,2,7,3,6,8,1,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,3,6,4,2,8,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [4,1,5,3,8,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [5,2,6,4,7,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [2,6,3,4,7,5,1,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [2,6,3,5,4,8,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [2,7,4,3,5,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,3,6,4,2,8,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [7,6,4,5,2,8,1,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [5,4,3,1,8,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,5,4,2,7,3,1,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [5,4,1,7,2,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>5 [5,4,1,8,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [6,5,2,8,3,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [7,4,2,1,8,3,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [6,5,3,4,8,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [6,1,5,3,8,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [4,6,3,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [5,8,4,2,7,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [8,2,6,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [8,6,2,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [8,5,3,2,6,4,1,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,3,1,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [7,5,2,6,4,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [7,1,6,2,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [8,1,7,3,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [8,6,1,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [8,1,3,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [1,7,6,8,3,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,1,5,8,4,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,3,8,4,5,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,2,8,5,3,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [6,1,8,4,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,1,7,4,2,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,2,7,3,4,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,7,8,4,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [1,6,2,8,3,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>5 [2,6,1,7,3,5,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>5 [3,1,5,8,4,2,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [4,3,1,6,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [5,7,4,8,3,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [5,4,8,2,7,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [5,2,8,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [6,4,7,5,3,2,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [1,8,3,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [5,8,3,2,6,4,1,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [6,8,2,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [7,3,8,2,6,4,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [4,6,8,2,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [2,6,8,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,2,8,6,3,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [6,8,1,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [3,8,7,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [2,8,6,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [2,7,6,3,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [1,7,6,5,2,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,8,6,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [3,8,7,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [5,8,3,7,6,2,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [7,1,8,6,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [8,4,7,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [8,7,2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [6,8,3,2,5,4,7,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [1,5,7,8,4,3,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [6,3,8,1,5,4,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [6,2,1,8,5,4,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [2,6,5,7,4,1,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [2,5,4,7,1,8,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [5,2,1,8,7,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [4,8,6,7,5,3,1,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [6,5,4,8,2,1,7,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [5,8,4,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [5,8,3,2,7,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [5,2,1,4,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [3,5,7,4,2,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [4,2,1,6,5,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,2,1,5,7,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>5 [3,5,4,7,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,4,5,8,6,7,1,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [4,3,5,1,6,8,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [2,4,6,8,1,3,5,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>5 [8,7,6,5,4,3,2,10,1,9]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>2 [6,5,4,10,3,9,2,8,1,7]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>2 [6,5,4,3,2,8,10,1,7,9]=>[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>3 [4,8,3,7,2,6,10,1,5,9]=>[[1,5,9],[2,6,10],[3,7],[4,8]]=>3 [4,3,2,6,8,10,1,5,7,9]=>[[1,5,7,9],[2,6,8,10],[3],[4]]=>4 [2,1,7,3,8,4,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [4,1,8,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [4,1,7,2,8,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [7,1,3,2,8,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [7,1,8,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [8,1,7,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [7,1,5,2,8,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [5,1,7,2,8,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [5,1,8,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [5,1,8,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [8,1,6,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [6,1,8,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [6,1,8,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [8,1,6,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,1,6,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,1,8,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,1,7,2,8,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,1,7,2,5,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,1,7,2,4,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [5,1,6,2,4,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [7,1,5,2,4,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,1,6,2,4,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,1,6,2,5,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,1,6,2,8,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,1,8,2,6,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,8,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [1,8,2,7,4,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [1,8,6,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,8,4,2,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [7,4,8,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [7,5,8,3,2,4,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [1,8,5,4,3,6,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [1,8,5,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,8,5,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [1,8,4,2,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [7,4,8,2,1,3,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,5,4,8,2,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [5,1,7,4,2,6,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [4,1,6,3,2,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [6,5,4,3,7,1,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [6,5,1,7,3,8,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,3,2,8,5,7,1,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,5,4,3,8,2,7,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [6,5,4,3,8,7,1,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [7,6,3,8,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [5,4,8,2,1,7,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [6,4,2,8,5,1,3,7]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [7,6,4,8,5,1,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,2,8,6,3,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [7,2,8,6,1,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [2,1,7,8,3,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [6,4,1,7,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [4,1,5,3,2,8,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [6,3,1,7,8,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [6,5,4,2,7,8,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [4,3,1,5,2,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [5,4,2,1,6,7,8,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,3,1,6,7,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [6,3,8,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [3,6,7,1,2,5,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [7,8,3,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [7,8,1,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [7,8,2,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>5 [5,2,3,7,1,8,6,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [2,5,3,6,1,8,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [2,6,7,3,1,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [2,6,7,1,3,5,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>5 [6,2,8,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [3,2,5,7,1,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [4,3,1,2,7,8,6,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [5,1,2,7,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [5,1,4,7,8,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [5,3,4,7,8,6,1,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,5,4,6,8,7,1,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [1,5,4,6,8,2,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [1,6,7,3,2,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,5,3,6,2,7,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>6 [5,1,3,7,2,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [5,2,4,7,8,1,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [4,2,5,7,6,1,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [4,5,2,8,6,1,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [5,3,1,8,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [6,1,8,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [4,3,5,7,6,8,1,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,1,5,7,6,2,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,5,1,8,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,2,1,8,3,6,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>5 [3,4,2,1,8,7,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [7,6,5,4,2,1,8,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [7,6,5,4,8,1,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [7,6,5,8,2,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [8,5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [8,6,5,4,3,2,1,9,7]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>3 [7,6,5,4,3,2,1,9,8]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>2 [7,6,5,4,1,8,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [7,6,5,2,8,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [7,6,5,8,4,1,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [7,6,8,5,2,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [7,8,6,3,2,1,5,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [8,7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [9,7,6,5,4,3,2,1,10,8]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>3 [7,8,4,5,9,2,3,6,10,1]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>7 [7,8,1,3,2,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,8,4,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [4,6,7,1,5,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>6 [3,2,5,6,1,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,2,6,1,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,4,6,7,8,1,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [1,5,3,6,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [2,5,4,6,7,1,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,6,7,4,5,1,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>5 [6,2,7,4,5,1,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>5 [4,2,5,6,7,1,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [6,1,7,3,2,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [7,3,2,5,4,1,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [7,3,5,4,2,1,6,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [7,3,5,2,4,1,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [7,6,5,2,1,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [1,3,6,7,5,2,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [7,3,4,1,6,2,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>5 [7,3,4,1,6,5,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [7,3,4,1,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [7,3,2,5,1,6,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [7,6,5,4,1,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [7,3,4,1,5,2,6,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [1,3,6,7,2,5,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,7,4,6,2,8,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [4,3,1,7,2,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [5,6,1,4,7,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,3,2,1,7,4,8,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [1,3,4,5,8,7,2,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [6,3,4,5,8,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [2,4,5,1,6,8,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [3,1,2,5,6,8,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [4,3,2,5,6,8,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,7,5,4,6,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,1,4,6,5,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [2,3,4,5,8,6,1,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [2,3,4,5,8,1,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [3,1,4,6,5,8,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>5 [3,7,5,4,6,8,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [5,6,1,4,7,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [4,3,1,7,5,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,3,1,7,6,5,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [3,1,4,6,7,8,5,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [1,4,5,2,6,8,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [3,7,5,2,6,8,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,7,5,2,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [5,6,1,2,7,4,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [6,3,5,2,4,7,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [5,3,2,1,4,7,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,1,4,2,7,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [5,3,1,2,4,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [7,1,5,2,6,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [7,1,5,2,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,7,4,6,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [2,7,4,6,1,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,7,4,6,1,8,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [2,3,6,7,1,5,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [2,3,6,7,5,1,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [4,3,2,6,7,1,8,5]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [7,3,2,5,6,8,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [7,1,5,4,6,8,2,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [2,7,4,6,5,8,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [7,3,4,5,8,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [7,3,4,5,8,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [7,3,4,5,8,1,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [1,3,4,5,8,6,2,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,3,4,5,8,2,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [6,3,4,5,8,2,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [6,3,4,5,8,2,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [7,3,4,5,8,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [2,7,4,6,5,8,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [7,1,5,4,6,8,3,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [7,3,2,5,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [5,7,4,6,1,8,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [6,3,4,5,8,1,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [7,3,4,5,8,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,3,4,5,8,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [4,8,6,1,7,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [4,7,8,2,6,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [7,6,4,2,8,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [8,6,4,2,7,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [8,4,7,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [8,4,6,1,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [6,4,7,1,8,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [7,4,8,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>4 [6,12,5,11,4,10,3,9,2,8,1,7]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>2 [6,2,1,7,3,5,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>5 [2,1,8,6,3,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,1,7,3,5,8,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,7,3,1,5,4,6,8]=>[[1,3,4,6,8],[2,5],[7]]=>5 [2,6,3,1,4,8,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [4,2,1,8,3,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,1,8,6,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [6,2,1,7,3,5,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [2,7,3,1,4,8,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [3,2,1,6,4,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [3,2,1,5,7,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [2,1,7,3,6,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,7,3,1,5,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [2,4,7,5,1,6,8,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [4,3,7,5,6,1,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,3,6,8,5,1,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [2,6,1,8,3,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,1,6,8,3,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,1,8,3,5,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [3,2,1,5,6,8,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,2,1,5,7,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [2,1,7,3,6,4,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,1,6,3,5,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [8,2,4,1,7,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [3,8,4,7,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [8,4,3,6,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [8,2,1,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [2,6,1,8,3,5,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,7,3,1,5,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>5 [2,4,7,5,1,6,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [8,2,4,1,7,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [5,8,6,3,1,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [2,4,7,1,8,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,4,8,5,1,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [6,2,1,7,3,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [6,2,1,7,8,3,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [2,7,1,8,3,5,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,1,8,3,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [3,2,1,6,7,4,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,2,1,7,4,5,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,2,1,6,8,4,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,1,8,3,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,1,8,3,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,4,8,5,1,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [4,3,8,5,6,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [3,2,1,8,4,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [1,6,8,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [3,8,1,5,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,2,6,8,4,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [6,1,5,8,2,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,2,4,8,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [4,1,2,7,8,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [3,5,7,4,8,6,1,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [5,3,8,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [8,7,1,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [5,8,1,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [1,2,8,4,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,2,5,3,7,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [6,1,2,8,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,1,6,2,8,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,2,6,3,8,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,2,8,5,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,2,7,3,8,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [4,1,2,7,8,6,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [1,6,2,8,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [1,6,4,2,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,8,6,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [1,7,3,2,8,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [3,1,7,8,6,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,8,7,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [1,8,7,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,3,2,8,7,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,8,3,2,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,7,6,3,2,4,5,8]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [1,2,8,4,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [8,5,1,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [5,3,8,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [3,8,6,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [6,1,8,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,2,5,3,8,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,2,7,5,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,2,6,3,7,5,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,2,3,7,5,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [3,7,4,8,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [1,8,2,7,6,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [2,9,8,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>2 [2,8,7,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [7,1,6,3,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [2,7,6,3,1,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [1,8,4,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,8,4,6,5,3,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [7,4,2,1,6,5,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [7,6,1,4,3,5,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [7,4,1,3,5,2,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [7,3,1,2,4,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,8,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [1,8,6,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [3,6,2,1,4,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,1,7,2,4,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [3,4,7,1,5,2,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [3,6,7,4,1,5,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [4,3,2,7,1,5,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [3,1,2,8,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [5,4,8,6,1,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [5,6,8,7,4,3,1,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [1,8,2,7,4,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [6,5,8,2,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,4,8,5,3,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [5,7,8,6,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [2,4,8,1,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [3,1,2,8,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [5,3,2,6,4,8,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [4,1,6,3,5,8,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [2,4,5,3,8,6,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [1,8,5,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [1,8,4,5,2,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [4,1,2,7,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [2,4,1,6,7,8,5,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [1,8,4,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [5,6,7,3,2,8,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [2,5,7,3,6,8,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [5,3,2,1,4,8,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [5,3,1,4,2,8,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [7,6,1,3,8,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [3,4,7,8,1,2,6,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,6,7,8,1,4,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>6 [3,6,2,8,1,5,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [2,3,6,8,5,1,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [3,1,6,4,8,2,5,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [7,3,2,6,8,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [7,3,5,8,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,5,2,8,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,4,5,8,2,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [1,8,5,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [1,8,4,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [6,4,2,8,3,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [6,3,4,8,2,5,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [7,5,4,8,3,6,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [2,7,4,8,5,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,1,5,4,8,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [7,3,2,5,8,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [8,4,6,3,7,2,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [7,4,6,3,8,5,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [2,5,6,8,3,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [8,4,6,2,7,5,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [8,5,6,7,2,4,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [2,5,6,8,4,3,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [2,5,7,8,4,1,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [6,5,7,8,4,1,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [7,5,6,8,2,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [7,4,6,2,8,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [4,3,2,6,8,5,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [3,5,6,8,2,4,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,5,6,8,4,2,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [2,6,7,8,1,4,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>5 [3,6,7,8,1,4,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [3,5,7,8,2,1,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [2,6,7,8,1,4,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [6,5,7,8,3,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [2,5,7,8,3,1,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [2,4,7,3,8,1,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [6,4,7,3,8,1,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,4,7,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [7,4,6,3,8,2,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [6,3,2,5,4,8,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [6,4,5,2,3,8,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [6,4,5,3,2,8,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [5,4,6,3,8,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,4,7,3,8,1,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [2,5,7,8,3,1,6,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [4,5,7,8,3,1,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,5,6,8,2,3,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [5,4,6,2,8,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [5,3,2,6,8,4,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,4,7,2,8,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [4,5,7,8,2,1,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,6,7,8,1,3,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,6,7,8,1,3,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>5 [2,6,7,8,1,3,5,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [2,6,7,8,1,5,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [4,6,7,8,1,5,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [4,6,7,8,1,2,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [4,5,7,8,2,1,6,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [5,4,7,2,8,1,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,3,2,7,8,1,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [4,3,2,7,8,1,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [3,5,7,8,2,1,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,6,7,8,1,2,5,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [3,6,7,8,1,5,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [3,6,7,8,1,5,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [2,6,7,8,1,5,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [3,4,5,6,7,8,9,1,2,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [2,4,5,6,7,8,1,3,9]=>[[1,3,5,6,7,8,9],[2,4]]=>7 [4,2,7,1,5,3,8,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [4,2,8,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [3,2,6,7,5,1,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>4 [2,7,1,3,5,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [4,7,2,1,5,8,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [7,2,1,3,5,8,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [2,3,6,4,7,1,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [1,3,4,8,2,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,1,4,8,2,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [8,3,1,6,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [4,8,6,2,1,5,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [4,8,3,6,5,1,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [6,4,7,3,5,1,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,4,7,5,1,8,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [3,6,1,7,5,8,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [7,3,5,1,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [4,7,3,5,6,1,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [3,4,6,8,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [4,6,8,2,1,5,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [6,8,2,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [1,8,2,3,5,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [2,7,3,6,1,4,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,6,1,3,5,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [7,3,2,5,6,1,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [4,7,5,2,6,1,3,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [4,6,2,8,1,5,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [8,4,1,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [4,5,6,2,7,1,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [8,5,1,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,6,2,7,4,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,2,1,7,8,5,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,7,3,8,4,1,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [2,7,8,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [2,7,1,8,5,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [8,2,5,1,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [8,2,4,5,1,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [3,8,4,5,6,1,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [4,5,8,3,6,7,1,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [4,5,8,3,7,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [4,2,8,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [7,2,3,4,8,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [7,2,3,4,8,1,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [7,6,3,4,8,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,6,3,5,8,4,1,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [7,6,3,8,4,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,2,3,8,5,1,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>5 [7,2,3,8,5,1,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [2,6,4,8,1,5,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [7,2,3,8,4,1,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [7,2,3,5,8,1,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [7,8,2,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [7,8,2,3,6,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [4,2,6,3,7,1,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [7,2,3,5,8,1,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [7,2,3,8,4,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [2,6,4,8,1,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [3,6,4,8,1,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [7,6,5,1,2,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,6,5,1,4,2,8,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [2,6,4,5,1,8,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [3,5,6,4,1,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [7,8,5,4,1,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [3,5,6,4,1,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [7,6,5,1,4,2,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [7,6,5,1,2,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [7,6,5,1,2,4,8,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [7,6,5,1,3,2,8,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [7,6,5,1,3,2,4,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [7,6,5,1,3,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [7,2,3,4,5,1,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [2,6,4,3,1,5,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,6,4,3,1,8,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,6,4,3,1,8,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [3,5,8,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [3,5,8,4,1,2,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [3,5,8,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [4,2,8,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [3,5,8,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [2,5,8,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [3,6,4,2,1,7,8,5]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [3,6,4,2,1,7,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [3,5,6,4,1,8,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [2,6,4,5,1,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [7,6,5,1,4,3,8,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [7,6,5,1,2,8,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [7,6,5,1,2,8,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,6,5,1,8,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [7,6,5,1,8,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,6,5,1,8,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [7,6,5,1,4,8,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [3,6,4,5,1,7,2,8]=>[[1,2,5,7,8],[3,4],[6]]=>6 [2,5,6,4,1,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [7,8,5,4,1,6,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [2,5,6,4,1,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [3,6,4,5,1,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [7,6,5,1,4,8,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [7,6,5,1,8,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [7,6,5,1,8,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [4,1,7,6,2,8,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [7,8,6,2,1,3,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [3,7,6,1,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [2,6,5,3,1,4,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [4,6,1,5,3,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [3,6,1,4,2,5,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [2,6,4,5,7,8,1,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [8,7,1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [7,2,5,6,8,1,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [6,1,3,4,2,8,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [2,4,5,6,1,8,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [8,4,1,6,5,7,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [2,8,3,4,7,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [6,8,2,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [4,7,8,5,1,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [8,2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [4,8,6,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [8,7,3,2,1,5,4,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,8,5,1,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [6,8,7,1,3,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [2,5,1,8,7,4,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [3,7,1,8,4,5,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>6 [6,2,3,8,4,7,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [8,6,4,3,1,7,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [8,3,7,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [7,1,3,8,6,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [2,3,5,8,6,7,4,1]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [7,4,2,1,8,6,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>4 [4,6,7,2,5,8,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [7,6,2,5,3,8,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [6,2,1,3,4,8,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [6,5,4,2,8,3,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [5,4,3,1,8,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,1,4,3,8,5,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [4,7,6,2,8,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [6,4,5,1,7,8,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [4,2,3,1,7,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [3,4,2,1,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [2,7,6,8,1,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [6,4,5,8,3,1,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [8,1,3,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [3,6,8,1,5,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [3,2,8,7,4,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [6,3,8,5,7,4,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [7,4,6,8,5,1,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [2,1,4,8,7,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [2,1,6,8,3,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [3,6,8,2,4,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [6,2,8,1,7,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [2,6,5,4,8,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [6,5,3,4,8,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [8,4,3,2,5,1,7,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [4,2,8,1,5,3,6,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [5,1,8,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [7,4,8,6,2,1,3,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [4,6,2,8,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [2,1,5,8,3,6,4,7]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,8,5,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [7,8,5,6,4,1,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [5,8,4,1,6,3,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [4,8,1,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [3,8,1,4,5,6,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [7,6,8,3,5,1,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [8,9,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>5 [9,7,10,5,8,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>6 [5,3,8,7,6,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [6,5,8,4,7,1,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [6,7,4,2,5,3,1,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [7,6,4,8,3,1,5,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [7,4,8,5,6,1,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [7,4,2,5,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [4,2,7,5,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [3,4,7,5,6,2,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [4,7,3,5,6,2,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,7,2,5,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [7,8,3,5,6,1,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [1,6,8,5,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,2,8,5,1,7,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [6,7,4,8,2,1,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [3,2,7,8,6,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [6,8,4,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [4,1,8,5,6,3,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [1,8,2,5,6,4,3,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [6,1,8,5,3,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [3,8,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,2,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [1,5,2,4,6,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>6 [4,1,5,3,6,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [8,1,6,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [7,1,4,6,3,2,8,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [3,2,6,4,1,7,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [7,6,4,3,1,2,8,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [8,6,3,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [4,5,3,1,6,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,5,2,1,6,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [5,2,3,1,6,7,8,4]=>[[1,3,4,7,8],[2,6],[5]]=>6 [1,5,3,2,6,7,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>6 [8,4,6,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [7,5,4,6,1,2,8,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [3,2,5,6,1,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,2,8,7,6,1,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [6,8,4,7,2,1,3,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [3,8,7,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,2,7,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [4,8,6,5,1,7,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [1,7,4,6,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [7,6,4,2,1,5,8,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [5,7,4,6,1,3,8,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [8,6,4,7,3,1,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [5,2,4,3,7,1,8,6]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [3,5,4,2,7,1,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [8,6,4,1,3,5,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [6,7,4,1,5,3,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [7,5,4,1,2,6,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [1,7,4,2,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,8,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [6,8,1,5,4,7,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [8,2,1,5,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [3,8,1,5,6,4,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [6,8,4,1,2,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [3,2,8,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,2,6,1,5,7,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [7,6,4,1,5,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [8,6,1,5,4,7,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [3,5,1,4,6,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [5,2,1,4,6,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [5,4,1,3,6,7,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [8,4,1,5,3,7,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [7,5,4,1,3,2,8,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [3,2,5,1,4,7,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [7,1,4,3,5,2,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [8,1,3,5,4,7,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [5,1,3,4,6,7,8,2]=>[[1,2,4,6,7,8],[3],[5]]=>6 [8,3,2,6,1,4,7,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [2,6,1,3,8,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [2,6,8,1,5,7,4,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [2,7,1,6,4,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [2,8,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [8,3,2,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [4,1,8,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [3,7,1,8,6,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [3,6,8,5,1,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [7,3,5,8,2,1,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [7,3,6,2,1,4,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [7,4,2,8,1,6,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>4 [8,7,5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [7,5,2,6,3,1,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [6,8,4,5,2,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [4,6,8,5,1,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [4,7,5,1,3,8,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [5,1,7,6,4,2,8,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [5,1,8,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [8,5,2,1,7,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [8,5,2,1,6,3,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [5,1,8,6,3,2,7,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [8,4,2,5,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [5,4,8,2,7,3,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [5,4,8,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [6,3,7,2,4,8,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [5,7,4,2,8,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [6,5,2,7,1,3,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [8,6,5,4,2,1,7,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [6,4,7,3,1,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [7,5,8,4,6,3,2,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [6,5,4,3,2,1,9,8,7]=>[[1,7],[2,8],[3,9],[4],[5],[6]]=>2 [5,4,3,2,1,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5]]=>2 [3,2,1,5,4,7,6,9,8]=>[[1,4,6,8],[2,5,7,9],[3]]=>4 [2,1,4,3,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]]=>7 [7,6,5,4,3,2,1,10,9,8]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>2 [3,2,1,5,4,7,6,9,8,10]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>5 [5,6,3,7,4,2,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [7,6,3,8,5,1,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [6,4,8,1,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [7,4,8,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>4 [4,2,7,6,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [3,7,2,4,6,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [8,1,3,4,5,2,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,6,8,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [6,2,8,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [6,7,4,8,5,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [3,2,7,8,5,1,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,2,8,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [6,1,4,8,5,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,4,8,5,2,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [6,1,8,4,3,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [3,7,1,4,2,5,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [7,2,1,4,3,5,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [4,1,5,3,6,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [6,1,8,5,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [7,1,4,6,3,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [3,2,6,4,1,8,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [7,6,4,3,1,8,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [3,5,2,1,8,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [1,5,3,2,8,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [5,4,2,1,7,8,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [8,2,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,6,2,7,1,4,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [1,7,3,6,2,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [7,6,3,2,1,8,5,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [8,6,3,7,4,1,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [5,2,3,4,7,1,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>5 [8,6,3,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [6,7,3,1,5,4,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [5,8,3,1,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [8,1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [8,4,1,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [8,2,1,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [3,8,1,5,6,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [6,8,4,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [3,2,8,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [7,6,4,1,5,2,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [8,6,1,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [3,5,1,4,6,7,2,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [5,2,1,4,7,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>4 [4,5,8,2,1,3,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [5,8,2,3,1,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [4,2,1,3,5,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [5,4,1,3,6,2,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [8,5,4,1,3,6,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [3,2,5,1,4,6,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [8,1,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [7,1,3,5,4,6,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [5,1,3,4,6,2,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6 [4,1,3,2,5,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [3,1,5,2,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [3,1,2,5,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [3,1,4,2,6,5,8,7,10,9]=>[[1,2,5,7,9],[3,4,6,8,10]]=>6 [3,1,5,2,7,4,9,6,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>6 [1,3,5,2,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [3,1,2,5,4,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>6 [4,6,7,3,1,5,2,8]=>[[1,2,7,8],[3,5],[4,6]]=>5 [6,8,1,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [6,8,3,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [7,5,1,8,2,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [5,3,8,4,2,6,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,5,7,2,3,6,8,1]=>[[1,3,6,8],[2,5,7],[4]]=>5 [2,6,3,4,7,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>6 [4,5,2,7,1,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [7,3,1,4,8,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [6,4,2,8,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [7,2,4,8,1,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [4,6,3,1,7,8,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [5,3,1,6,7,8,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [4,1,6,2,7,8,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [2,1,3,4,8,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [4,5,6,7,8,9,1,2,3]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [4,5,6,7,8,9,2,3,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>7 [5,6,7,8,9,1,2,3,4]=>[[1,2,3,4,9],[5,6,7,8]]=>8 [6,7,8,9,2,3,4,5,1]=>[[1,3,4,5],[2,7,8,9],[6]]=>7 [8,9,6,7,5,4,3,2,1]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>3 [4,5,6,7,8,9,10,1,2,3]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9 [4,5,6,7,8,9,10,2,3,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>8 [5,6,7,8,9,10,1,2,3,4]=>[[1,2,3,4,9,10],[5,6,7,8]]=>9 [8,9,10,5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>7 [4,8,3,7,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [6,3,8,7,5,4,1,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [5,3,8,7,6,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [2,8,7,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [5,2,8,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [6,2,8,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [7,8,2,6,5,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [6,1,8,7,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [3,1,8,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [7,8,2,6,1,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [6,2,8,7,1,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [4,2,8,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [4,8,2,7,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [3,8,7,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [6,5,8,7,1,4,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [4,8,1,7,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [5,4,1,8,7,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [6,4,8,1,7,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [7,8,4,1,6,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [7,8,3,1,6,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [6,3,8,1,7,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [5,3,1,8,7,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [7,8,2,1,6,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [6,5,3,1,8,7,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>4 [6,4,3,1,8,7,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [7,5,2,1,8,6,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [5,4,2,1,8,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [7,3,2,1,8,6,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>3 [6,3,2,1,8,7,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [9,7,5,3,1,10,8,6,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>6 [6,1,4,2,3,5,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [8,6,1,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [6,8,1,4,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [8,1,4,2,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [4,1,8,2,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [8,2,3,6,1,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [6,2,3,8,1,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [4,6,2,3,8,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [4,8,2,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [8,2,3,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [8,4,3,6,2,1,5,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [6,2,3,8,4,1,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [8,4,2,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [6,4,2,3,8,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,6,4,3,8,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,8,4,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,6,3,8,4,1,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [6,3,8,4,2,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [2,6,3,8,1,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [2,8,3,6,1,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [8,3,6,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [2,8,3,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [8,3,6,2,4,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,3,6,2,1,4,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [6,2,1,3,8,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [8,2,1,3,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [6,3,8,2,4,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [6,2,4,3,8,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [3,6,4,7,8,5,1,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [1,6,4,2,7,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [3,6,4,2,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [1,4,7,2,5,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [6,4,8,5,3,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [1,6,5,4,2,7,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [4,2,5,3,6,1,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [7,1,5,3,6,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [1,6,5,2,4,8,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,4,6,2,8,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>5 [7,8,1,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [3,4,8,5,2,1,6,7]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [4,8,5,3,1,6,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [6,1,3,5,8,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [6,1,8,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,2,8,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [1,3,6,8,7,5,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,8,2,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [7,1,2,4,5,8,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,2,7,3,5,8,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [6,1,3,2,5,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [4,6,2,1,7,5,3,8]=>[[1,3,7,8],[2,5],[4,6]]=>5 [1,6,3,7,8,5,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [4,6,2,3,7,8,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,6,3,7,1,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,2,1,3,5,7,8,6]=>[[1,3,5,6,8],[2,7],[4]]=>5 [7,3,2,4,5,1,8,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [3,8,2,5,4,1,7,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [7,8,4,2,6,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [4,2,6,3,8,7,1,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [5,8,2,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [4,3,8,5,1,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [4,3,6,8,1,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [6,4,3,5,2,8,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [6,5,3,8,4,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [6,1,7,2,8,3,9,4,10,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>9 [6,1,7,8,9,10,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>9 [7,1,8,2,9,3,10,4,11,5,12,6]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>11 [3,8,1,7,5,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,2,5,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [1,8,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [8,2,6,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [1,5,8,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [5,4,8,6,2,3,7,1]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [2,7,6,1,3,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [6,4,1,8,2,5,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [2,8,6,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [4,1,3,6,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [2,1,6,3,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,4,1,3,8,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,4,1,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,6,1,3,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [4,6,1,3,5,8,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [6,1,4,3,5,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,4,1,3,5,8,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,2,1,3,5,8,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [4,2,1,3,6,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [4,2,1,6,3,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [6,2,1,8,3,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [6,2,1,3,8,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [6,1,4,3,8,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,6,4,3,8,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [8,1,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,4,1,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,2,1,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,1,6,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [6,2,1,4,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [8,2,4,1,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [8,2,6,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,4,6,1,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,4,1,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,1,4,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,8,4,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,6,4,8,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,4,1,8,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,4,8,1,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,2,8,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [4,2,8,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [2,6,8,1,3,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [4,6,8,1,3,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,6,1,8,3,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,1,6,8,3,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [1,4,6,3,8,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,6,1,3,8,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [2,4,1,8,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,1,6,8,3,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [4,1,3,6,8,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [1,4,3,6,8,5,7,2]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,1,3,8,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [2,1,8,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,1,6,4,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,6,1,4,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,8,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,8,1,6,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [4,8,1,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,4,8,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,4,8,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,1,8,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,8,1,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,8,6,1,3,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [2,8,6,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,8,4,1,3,5,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,6,4,1,3,5,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [4,6,2,1,3,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [6,8,1,4,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,1,8,4,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,6,8,4,3,5,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,8,6,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [8,1,6,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [8,6,1,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [8,6,4,1,3,5,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [8,6,2,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,4,2,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [7,8,6,5,2,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [5,7,4,1,8,6,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,6,4,2,8,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [5,6,4,2,7,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,7,1,4,6,3,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [5,8,1,4,6,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [3,6,7,4,5,8,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [3,5,7,4,6,8,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [6,8,4,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [5,4,6,1,7,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,6,4,1,8,7,3,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [3,5,8,4,6,7,2,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [3,6,8,4,5,7,2,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [3,7,8,4,5,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [6,8,1,4,5,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,7,1,4,5,3,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [3,7,1,5,4,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,8,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [3,7,1,5,4,6,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [6,7,1,4,5,3,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [5,7,1,4,6,3,8,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [5,6,4,2,7,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,7,2,8,3,1,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [5,4,7,2,8,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [5,6,4,2,8,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [5,8,1,4,6,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [3,8,1,5,4,6,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [3,6,1,5,4,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [3,6,1,5,4,8,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [6,8,3,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6,8]]=>5 [7,3,8,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [6,7,3,1,4,2,8,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [3,6,1,5,4,7,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [3,4,1,2,7,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,4,1,2,6,8,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [6,8,3,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [6,4,7,2,8,5,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [5,8,1,4,7,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [7,8,1,4,5,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [3,8,1,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [3,6,1,5,4,8,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [3,6,1,5,4,7,2,8]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [6,7,3,1,4,2,5,8]=>[[1,2,5,8],[3,4],[6,7]]=>6 [6,8,3,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [7,8,3,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [7,8,4,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>4 [6,5,8,7,3,4,2,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [7,8,3,1,4,6,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [6,7,3,1,4,5,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>6 [3,7,1,5,4,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,8,1,5,4,2,7,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [5,8,1,4,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,8,4,2,7,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [6,4,7,2,8,5,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,3,7,1,4,8,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [6,8,3,1,4,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [3,7,1,5,4,8,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [3,4,1,2,8,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,4,1,2,5,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,7,1,5,4,2,8,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [6,7,3,1,4,5,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [7,3,8,1,4,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [7,3,8,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [6,8,3,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>5 [3,8,1,5,4,2,6,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [8,7,6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [8,7,4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [8,5,7,4,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [9,8,7,6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>2 [9,8,7,6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>2 [8,7,6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [8,5,4,7,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [8,7,3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [6,5,8,4,3,2,1,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [8,4,7,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [5,8,7,4,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [5,8,6,2,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [4,5,2,7,3,1,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,8,2,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [4,1,7,2,5,8,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>6 [1,6,2,5,8,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [7,3,1,6,8,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [5,2,7,1,8,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [6,5,2,8,1,7,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [2,8,3,5,1,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [5,4,3,8,7,1,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [8,5,4,3,7,2,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [8,3,7,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [2,8,6,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [6,3,2,8,4,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [2,8,3,4,1,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [5,4,2,8,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [2,8,4,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,8,5,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [2,8,6,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [3,8,7,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,3,7,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [8,4,7,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [4,8,7,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [7,4,8,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>4 [7,3,8,5,2,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,3,8,4,2,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,5,4,3,8,2,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [3,7,8,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [3,7,8,5,1,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [4,7,8,6,1,2,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [8,7,4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [5,7,8,6,1,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,4,7,8,3,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [7,3,4,8,2,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,6,4,8,3,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [7,5,8,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [6,5,8,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>4 [2,4,8,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [6,3,2,4,8,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [2,3,8,4,1,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,8,5,1,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [6,4,8,7,3,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [8,6,4,7,3,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>3 [8,3,4,7,2,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [3,4,8,7,1,5,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [2,4,8,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,5,8,6,1,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [8,3,5,7,2,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [8,4,6,7,2,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [4,6,8,7,1,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [2,6,8,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [2,6,8,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [2,5,8,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [5,6,8,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [7,4,6,8,2,1,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [2,3,5,4,1,8,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [2,3,6,4,8,1,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [1,8,4,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [5,4,8,6,2,1,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [2,3,6,8,1,5,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,5,6,1,4,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,5,6,1,4,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [7,3,5,1,6,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [2,7,6,1,8,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [2,7,6,8,1,4,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [1,8,7,6,3,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [1,8,7,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [5,7,8,6,2,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [2,7,6,1,8,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [6,3,5,1,7,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>5 [2,3,4,7,6,1,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>5 [7,3,5,8,4,1,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [1,8,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,8,4,5,2,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [7,3,5,8,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [2,7,6,4,8,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,3,5,4,6,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [6,3,5,4,7,1,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [6,3,5,4,7,1,2,8]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [3,4,1,5,6,8,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [3,7,1,6,8,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [2,3,1,8,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [1,8,4,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [2,3,1,8,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [3,7,1,6,8,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [6,3,5,4,7,2,1,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [7,3,5,4,6,8,2,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [2,7,6,4,8,5,3,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [1,8,4,5,2,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [6,4,8,5,3,1,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [7,3,5,8,4,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [2,3,4,6,5,8,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [2,3,4,7,5,1,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [2,3,4,7,5,1,6,8]=>[[1,3,4,5,6,8],[2],[7]]=>6 [2,3,4,7,1,6,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,3,4,7,1,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,3,4,6,1,8,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [6,3,5,8,4,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [7,4,8,5,3,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [1,8,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [7,4,8,5,3,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [6,3,5,8,4,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [5,2,4,6,8,3,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [1,5,7,4,6,3,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [5,2,8,4,6,3,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [3,8,5,4,6,7,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [6,8,3,4,5,7,2,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [2,5,7,4,6,3,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [5,4,1,7,8,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [5,4,2,7,8,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [5,1,4,6,8,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,1,8,4,6,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [8,1,6,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [8,1,3,5,4,6,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [8,1,6,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [8,7,1,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [1,7,6,2,4,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [8,7,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,2,6,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [1,7,6,3,4,5,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [1,7,2,5,4,3,6,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [8,7,2,4,5,3,6,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [5,8,2,4,7,3,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [6,8,3,2,4,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [8,7,1,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [8,1,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [8,1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [3,4,8,7,5,2,6,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [3,2,8,6,1,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [8,6,1,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [8,7,3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [3,8,7,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [8,7,2,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [5,3,6,2,4,8,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [3,5,2,8,6,1,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,7,2,5,1,4,8,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [5,1,8,6,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [2,5,4,1,8,6,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [3,7,6,1,8,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [7,6,3,1,8,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [8,2,3,6,1,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [1,8,2,6,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [8,1,3,6,4,7,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,1,3,6,4,8,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [8,2,1,3,5,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [8,2,6,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,5,4,1,3,8,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [2,7,5,8,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [7,3,8,5,4,1,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,2,3,6,1,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [1,3,7,2,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [1,7,2,3,5,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [7,4,8,1,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,1,2,3,5,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [7,1,2,3,5,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [8,6,1,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [2,6,3,7,1,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [2,6,3,8,1,4,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [7,5,4,8,1,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [8,5,4,7,1,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [2,3,1,8,5,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [8,6,5,1,3,4,2,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [8,5,1,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [3,4,7,6,1,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [3,5,2,6,7,1,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,2,8,4,7,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [8,4,7,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [3,8,1,6,5,2,7,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [6,1,2,8,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [6,8,3,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [3,7,2,5,6,1,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [6,8,4,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [2,7,5,3,8,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [8,3,1,4,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,3,2,1,5,7,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [2,8,3,6,4,7,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,3,6,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [8,3,6,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [1,2,8,3,5,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,8,3,2,5,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [6,5,1,7,4,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [7,3,6,4,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [6,1,7,3,4,2,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [7,3,8,1,6,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [8,3,7,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [5,1,7,4,2,8,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [4,2,8,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [6,4,2,8,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [8,6,4,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [3,8,7,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [4,2,3,7,8,5,1,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [5,1,6,4,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [6,4,7,8,1,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [5,8,7,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,6,5,7,1,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [6,7,4,8,1,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [8,3,2,4,7,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [2,5,3,7,1,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>5 [8,4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [7,4,6,8,1,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [3,7,5,8,1,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [4,7,6,8,1,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [8,5,6,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [8,6,7,5,1,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [5,6,8,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [2,4,6,7,1,5,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [6,7,8,5,1,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [7,8,6,5,1,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [3,1,7,5,4,2,8,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [2,1,8,5,4,6,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [4,1,8,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [5,4,1,3,6,7,2,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [8,4,1,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [8,2,7,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [3,2,7,1,5,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [6,3,7,1,5,4,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [7,3,8,1,5,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,1,5,3,8,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [4,5,1,3,6,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [3,6,8,1,5,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [6,8,3,1,5,4,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [7,6,3,1,5,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [3,6,2,1,5,8,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [8,6,2,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [4,8,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [2,3,8,1,5,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [7,1,3,2,8,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [7,1,6,2,8,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [4,7,1,2,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [2,7,8,1,5,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [6,7,2,1,5,3,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>5 [4,7,2,1,8,5,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [8,7,2,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,7,5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [5,7,8,6,1,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [2,7,4,1,6,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [3,7,1,4,5,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [7,1,6,4,5,8,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [3,5,1,4,7,6,8,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [2,6,4,1,7,5,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>5 [5,6,8,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [6,8,5,7,1,4,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [8,6,5,7,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [8,5,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [6,5,7,8,1,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [7,2,3,1,5,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>5 [4,2,8,1,6,5,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [6,2,4,1,8,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [8,3,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [5,3,1,4,8,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [7,5,1,6,3,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [7,1,5,8,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [5,8,1,6,4,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [5,3,1,8,4,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [8,3,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [8,2,6,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [6,2,8,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [7,2,6,1,5,3,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,8,6,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [4,2,1,5,6,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [7,1,2,5,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [7,1,4,5,6,8,3,2]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [8,5,6,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [7,6,8,5,1,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [6,8,7,5,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [2,6,7,1,4,5,3,8]=>[[1,3,5,8],[2,4,7],[6]]=>5 [3,5,1,7,4,6,8,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [7,1,5,6,4,8,3,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [7,1,6,5,4,8,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [2,7,6,1,4,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [5,7,6,8,1,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [7,8,6,5,1,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [4,3,1,6,5,8,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [5,3,1,2,4,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [5,3,6,2,1,8,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,3,7,2,1,4,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,7,2,8,4,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [7,2,4,5,8,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,2,4,5,1,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [6,2,4,5,1,8,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [3,1,4,5,2,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [1,6,4,5,2,8,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [3,7,4,5,1,2,6,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,7,4,5,8,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [1,7,4,2,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [8,7,4,5,2,1,6,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [6,3,7,1,8,4,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [5,7,4,1,6,3,2,8]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [1,7,4,8,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [5,7,4,8,6,3,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [4,8,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [1,8,3,5,6,7,2,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [4,8,1,5,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [4,1,3,5,6,7,2,8]=>[[1,2,5,6,7,8],[3],[4]]=>6 [5,8,4,3,6,1,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,3,8,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [1,5,8,4,6,7,3,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [1,4,8,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,3,8,2,1,7,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [3,8,4,2,6,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [1,8,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [3,8,1,5,6,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [3,8,2,5,6,7,1,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [8,2,1,5,6,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [8,1,3,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [7,1,4,3,6,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [7,8,4,3,6,2,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [4,3,1,8,5,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [4,3,1,6,8,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [6,3,1,8,2,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [6,3,5,8,2,7,1,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [7,5,4,8,6,2,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [7,1,4,8,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,5,4,1,6,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [7,6,4,5,8,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [1,6,4,5,8,2,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [7,3,6,1,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,7,6,5,8,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [1,8,5,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,3,5,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [8,4,1,5,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,4,2,5,6,7,1,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,1,8,5,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [1,2,8,5,6,7,3,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [4,2,1,5,6,7,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [1,5,3,8,6,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [1,4,5,8,6,7,3,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [4,3,5,8,1,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [3,5,4,8,6,1,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [1,4,8,5,6,7,2,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [3,4,8,5,6,7,1,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [4,3,7,2,5,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [2,6,3,1,4,5,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [3,7,1,5,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [4,7,1,5,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [8,4,2,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [5,3,4,6,2,8,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [6,4,7,2,3,8,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,5,7,2,8,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [5,3,7,2,4,8,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [8,7,6,1,4,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,7,6,1,3,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,7,4,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [8,5,6,4,1,7,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [8,4,6,2,3,1,7,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [10,3,1,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>8 [8,10,1,2,3,4,5,6,7,9]=>[[1,2,3,4,5,6,7,9],[8,10]]=>8 [8,9,1,2,3,4,5,6,10,7]=>[[1,2,3,4,5,6,7],[8,9,10]]=>9 [7,3,5,4,1,8,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [2,6,5,7,3,1,8,4]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [4,2,1,6,3,7,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,2,1,6,3,7,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,2,1,3,7,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,8,1,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [4,2,1,8,3,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,2,1,6,3,8,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [7,3,4,2,6,8,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [3,6,7,5,2,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,6,7,5,2,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [4,2,1,7,3,6,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>4 [3,7,6,8,4,2,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [5,8,1,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [3,7,8,6,2,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [4,2,1,3,5,8,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,2,1,8,3,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,6,1,5,4,7,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [4,6,3,5,8,7,1,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [2,7,5,1,8,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [4,7,5,2,1,3,6,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [3,5,6,2,4,1,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [2,5,6,1,4,8,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [6,7,8,4,1,5,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [7,1,6,8,4,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [7,4,6,5,2,8,1,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [7,1,5,6,4,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [5,7,4,6,8,1,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,7,8,1,4,6,3,2]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [8,1,5,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,8,4,6,7,5,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [6,1,8,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [4,5,8,6,1,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [4,8,5,1,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,1,4,5,6,7,3,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [5,6,7,1,4,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>6 [8,4,2,6,1,5,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [4,8,5,2,1,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [5,1,8,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [1,8,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [6,1,5,2,3,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>6 [8,3,1,4,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [3,1,8,2,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [3,5,1,8,2,6,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [3,5,1,2,8,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [2,3,5,8,6,1,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [8,2,4,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [3,2,8,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,6,2,8,5,1,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [6,2,1,8,4,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [2,8,7,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,2,7,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [7,2,5,3,6,8,1,4]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [7,3,1,5,6,2,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>5 [3,7,5,1,6,2,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>5 [2,7,3,6,5,8,1,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [8,7,2,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [1,8,7,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [1,7,8,2,6,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,7,3,8,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [1,2,7,3,6,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [7,1,5,8,3,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,6,2,8,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,3,8,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,8,3,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,1,4,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [4,7,8,1,3,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [7,1,4,2,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>6 [8,2,1,4,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,1,3,8,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [1,2,3,4,8,5,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [2,4,8,7,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [2,5,3,8,4,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [2,8,5,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [3,1,8,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [2,8,6,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [2,5,7,3,4,8,6,1]=>[[1,3,4,6],[2,7,8],[5]]=>5 [8,3,7,6,1,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [3,1,7,8,2,5,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>5 [7,3,8,5,1,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,5,1,2,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [4,8,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,1,2,5,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,3,6,8,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [5,4,1,8,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [6,7,3,1,4,8,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [5,4,1,6,8,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [5,4,7,1,2,8,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [6,7,4,1,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,5,1,2,3,7,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [6,5,1,2,3,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [6,7,4,1,2,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>6 [2,4,6,3,5,7,1,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [1,4,6,3,7,2,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [8,6,2,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,2,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [1,8,3,4,2,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [2,8,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [8,7,2,3,1,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [3,8,2,4,6,1,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [7,8,2,4,3,1,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [4,5,8,2,3,1,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [5,1,4,3,7,2,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [6,1,3,5,7,2,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [2,1,4,7,5,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [7,1,3,6,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [8,1,3,6,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [2,1,8,3,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [7,1,8,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [6,1,5,8,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [4,5,2,8,1,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [6,2,5,8,1,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [3,2,8,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [8,2,7,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [1,3,8,2,5,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [2,8,7,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [3,8,7,1,5,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [3,4,8,5,6,1,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [8,3,7,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [1,4,8,6,2,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [8,4,5,7,1,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [3,5,6,8,4,1,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [6,2,3,1,5,4,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>5 [7,2,3,1,4,6,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>5 [8,2,3,1,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [8,5,1,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [7,5,1,3,2,6,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [2,6,1,4,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [3,6,4,1,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>6 [4,5,6,1,3,2,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [4,5,7,1,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6 [3,7,4,1,2,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>5 [6,7,1,4,2,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>6 [2,7,1,3,5,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>5 [8,6,1,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [2,8,1,3,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [7,8,1,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [3,8,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [1,2,6,7,5,3,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,7,5,3,2,8,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,6,7,5,3,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,6,5,7,2,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,3,8,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,2,5,7,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,3,4,8,2,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,5,7,6,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,5,3,8,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,4,8,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [1,4,8,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [1,2,4,8,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,3,8,4,2,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,4,8,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [6,5,7,3,8,2,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [4,2,6,7,5,8,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [6,7,5,2,1,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [3,4,8,7,5,2,1,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [1,7,5,2,8,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [5,6,8,3,1,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [6,1,4,8,3,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [3,4,7,1,8,6,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,4,6,8,2,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,8,2,5,6,1,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,5,2,8,6,4,1,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [4,2,5,7,3,8,6,1]=>[[1,3,6,8],[2,5,7],[4]]=>5 [7,4,2,5,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [3,1,2,8,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [5,2,1,6,8,3,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [5,2,6,8,4,1,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [1,5,6,8,3,4,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [4,5,8,1,6,3,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [4,5,1,6,8,3,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,5,7,3,8,2,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [6,4,3,7,8,2,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,4,3,1,7,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [4,5,3,1,7,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [7,1,3,5,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,5,2,8,1,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [5,7,3,8,4,6,1,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [1,4,5,7,3,8,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>5 [4,6,3,7,8,5,2,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [5,3,6,7,8,4,2,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [1,5,3,6,7,8,4,2]=>[[1,2,4,7,8],[3,6],[5]]=>6 [4,6,1,7,3,8,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>5 [6,3,7,1,8,4,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [6,7,2,4,8,1,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [2,6,1,4,7,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [3,2,5,6,7,8,1,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [5,2,3,6,7,8,4,1]=>[[1,3,4,7,8],[2,6],[5]]=>6 [6,7,1,3,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,2,7,1,3,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [5,2,1,7,3,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [6,4,2,7,1,8,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [4,2,6,3,7,8,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,2,6,3,7,8,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [6,7,3,8,2,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [3,6,2,7,4,1,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [6,7,3,2,1,4,8,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [7,1,8,3,4,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,2,4,1,8,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [7,2,4,8,6,1,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [7,3,4,8,6,2,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [3,5,7,2,1,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [6,7,8,3,2,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,3,7,8,2,5,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [2,6,7,4,8,5,3,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,2,4,7,1,8,5,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [4,6,2,7,1,8,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [1,7,4,8,5,2,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [1,3,7,8,5,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [2,5,7,8,1,6,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [6,3,7,1,8,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [1,6,4,7,8,2,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [2,5,6,1,7,8,4,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [5,6,1,2,7,8,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [6,7,2,1,8,5,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,7,2,8,5,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [1,6,7,4,8,5,3,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,8,4,5,3,6,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [1,8,5,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,8,2,4,6,3,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,8,2,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [3,6,2,7,1,4,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [1,4,7,5,2,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [4,6,5,3,7,1,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [4,2,3,8,6,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [5,2,4,8,1,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [6,2,5,4,8,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [6,4,3,5,8,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [5,2,3,4,8,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [3,5,2,4,7,1,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [5,3,4,8,1,6,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [4,5,3,7,1,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>5 [7,6,3,8,5,1,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [4,2,6,7,3,8,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [1,5,7,4,2,8,6,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [1,3,7,2,8,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,4,3,7,8,6,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [1,5,3,6,8,2,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [4,3,6,5,7,8,1,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,2,3,5,6,8,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,2,6,7,3,8,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,2,5,6,8,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [6,4,5,2,3,8,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [6,4,2,5,3,8,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [8,6,4,7,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [8,6,2,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [4,6,2,5,3,8,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [4,6,5,2,3,8,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [6,8,2,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [6,8,7,2,4,5,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [2,6,4,5,8,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,6,4,8,7,5,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [8,2,4,6,7,5,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [4,2,6,5,8,7,3,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [4,2,3,6,8,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [6,4,8,7,2,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [6,4,8,7,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [8,2,6,4,7,5,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [4,6,8,2,7,5,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [4,6,5,8,2,7,3,1]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [2,1,8,6,4,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [6,8,7,4,2,5,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [9,2,4,6,8,1,3,5,7]=>[[1,3,5,7],[2,4,6,8],[9]]=>4 [9,4,6,8,1,2,3,5,7]=>[[1,2,3,5,7],[4,6,8],[9]]=>5 [9,6,8,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>6 [3,5,7,9,1,2,4,6,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [5,7,9,1,2,3,4,6,8]=>[[1,2,3,4,6,8],[5,7,9]]=>6 [7,9,1,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7,9]]=>7 [10,9,8,7,6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>2 [10,9,4,8,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>2 [10,9,8,7,2,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>3 [6,10,5,9,2,4,8,1,3,7]=>[[1,3,7],[2,4,8],[5,9],[6,10]]=>3 [10,9,2,4,6,8,1,3,5,7]=>[[1,3,5,7],[2,4,6,8],[9],[10]]=>4 [10,3,5,7,9,1,2,4,6,8]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>5 [10,5,7,9,1,2,3,4,6,8]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>6 [10,7,9,1,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>7 [4,2,5,6,3,8,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [6,2,5,7,4,8,3,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [8,5,2,1,4,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [6,7,3,2,5,8,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [3,2,6,4,8,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,3,6,4,7,8,5,1]=>[[1,3,4,5,8],[2,7],[6]]=>6 [7,5,1,8,3,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [5,7,8,2,6,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [7,1,6,3,5,8,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [6,3,1,7,8,4,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [5,3,6,7,4,1,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [7,3,1,2,5,8,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [1,6,3,5,2,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [3,4,8,2,7,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [6,3,2,8,5,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [3,8,4,7,2,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [2,4,8,1,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [3,4,8,1,6,2,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [1,8,4,6,7,3,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,1,6,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [7,6,5,4,1,2,8,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [5,7,6,8,3,4,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [2,8,1,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [4,6,8,2,5,3,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [5,2,3,7,6,1,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [8,1,2,4,6,7,3,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [5,2,3,7,4,8,6,1]=>[[1,3,4,6],[2,7,8],[5]]=>5 [5,2,6,8,4,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [7,8,1,5,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [7,2,4,8,5,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [3,7,5,1,8,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [2,7,8,5,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [5,7,4,3,8,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [4,8,1,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,3,1,7,4,2,5,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [3,1,8,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [8,1,3,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [2,3,6,8,7,1,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [4,3,2,8,5,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [3,6,4,2,8,5,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [4,7,3,2,5,1,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [3,2,4,7,5,8,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>5 [4,2,3,8,6,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,4,3,5,1,8,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,2,8,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [4,7,8,3,1,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [4,7,8,2,1,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [4,1,6,8,2,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [4,5,1,2,8,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,6,2,8,1,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [3,6,2,8,4,7,1,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [4,2,6,8,3,1,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [4,1,2,5,8,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [5,2,4,1,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [4,2,5,3,8,1,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [3,2,5,4,8,7,1,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [5,1,4,2,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [5,4,1,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [5,4,3,1,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [3,5,1,4,8,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [2,5,6,8,7,3,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [3,4,5,1,8,7,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [4,3,6,8,2,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [2,4,6,8,3,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [3,4,5,2,8,7,1,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [5,3,1,4,2,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [5,3,2,1,4,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [4,3,2,5,8,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [3,2,4,5,8,7,1,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [5,2,1,3,4,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [5,1,2,3,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [8,6,2,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [6,5,7,4,2,8,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [6,7,5,3,8,2,4,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [8,2,1,6,3,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [8,3,5,6,2,4,1,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [8,6,2,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [6,2,3,7,8,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>6 [7,5,8,2,6,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,3,1,6,5,8,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [1,5,6,7,3,4,8,2]=>[[1,2,4,7,8],[3,6],[5]]=>6 [6,7,8,2,1,4,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [8,4,7,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [5,3,8,4,7,2,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [8,1,3,7,6,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [5,3,1,7,8,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [3,5,8,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [6,2,8,5,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [8,2,6,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [3,4,2,8,5,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,8,6,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [8,3,7,4,2,5,6,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [4,8,5,7,2,1,3,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [3,4,1,8,2,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [8,4,6,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [6,8,3,4,1,5,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [5,1,7,6,2,8,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,8,2,5,7,4,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [2,8,5,6,7,1,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,5,7,6,3,1,8,4]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [4,2,8,3,1,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [2,5,7,3,8,4,6,1]=>[[1,3,4,6],[2,7,8],[5]]=>5 [4,2,7,1,8,5,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [4,2,1,8,7,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [8,3,6,7,1,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [1,3,7,5,8,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [5,7,8,4,3,1,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [2,7,4,5,8,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [3,5,7,1,4,8,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [7,2,8,5,1,4,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [1,6,5,3,8,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [5,7,4,8,3,6,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [4,8,6,1,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,8,3,2,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [8,4,3,2,5,7,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [3,6,4,8,2,5,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [4,3,7,2,5,8,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [3,2,4,7,8,5,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>5 [2,6,4,3,8,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [3,8,2,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [8,2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [4,6,8,3,2,1,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [3,2,6,8,5,4,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [7,3,8,2,5,4,1,6]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [4,2,5,3,8,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [4,8,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [2,6,8,5,4,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [3,1,8,6,5,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [5,4,8,7,3,2,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [6,4,8,3,7,2,5,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [4,7,3,6,2,1,8,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [5,4,3,7,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [7,3,8,5,1,4,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [5,4,8,7,6,2,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [3,8,1,5,7,4,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [4,8,5,7,3,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [1,5,4,8,3,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [4,8,3,6,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,7,8,3,1,6,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [8,7,5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [4,6,1,3,8,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [6,8,2,1,7,4,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [3,7,1,6,4,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [3,1,2,7,5,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [3,6,1,2,7,5,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [3,7,6,2,5,8,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,6,2,5,8,7,4,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [8,5,2,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [4,7,2,6,3,8,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [6,3,2,4,8,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [3,7,2,4,6,1,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [5,3,7,2,8,1,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [6,3,2,8,7,5,1,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [7,3,8,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>3 [6,4,8,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [2,5,4,8,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [5,2,8,1,7,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [6,2,1,3,8,7,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [3,6,1,8,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [5,6,1,2,8,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [7,5,2,8,1,6,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [2,7,6,8,1,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [7,8,5,1,6,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,4,8,6,1,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,2,1,8,3,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [5,8,7,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [8,5,4,3,7,2,1,6]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [6,5,4,8,3,2,7,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [7,3,1,4,8,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [5,7,2,4,6,8,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [6,4,7,1,3,8,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [4,5,1,2,7,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [5,4,6,8,3,1,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [1,3,8,4,5,7,2,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [2,6,7,4,5,3,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [1,3,7,4,2,8,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,5,8,6,2,1,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [2,8,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,8,7,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [7,3,8,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [6,8,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [3,7,1,2,4,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [7,5,6,8,2,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [1,7,2,3,5,6,8,4]=>[[1,2,3,4,6,8],[5],[7]]=>6 [3,4,6,2,8,5,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>4 [4,2,1,7,5,8,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [4,7,1,6,5,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [4,7,3,6,5,1,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [3,2,4,8,6,7,1,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [4,2,6,8,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [3,4,6,1,8,5,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [4,3,7,1,6,8,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [2,8,7,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [2,8,7,4,3,5,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [3,8,1,4,2,6,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [5,8,7,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [5,8,7,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [4,2,7,3,6,1,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [3,8,2,4,5,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,8,2,4,1,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,8,2,5,4,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [4,2,7,5,6,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [4,2,7,5,6,1,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [4,2,6,7,5,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [3,2,6,1,4,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,8,1,2,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [5,8,7,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [5,8,7,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [2,8,7,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [5,8,7,6,1,3,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [5,8,7,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [5,4,2,3,7,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [7,4,3,5,2,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [8,4,3,7,5,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [8,4,7,2,5,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [7,4,6,2,3,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [5,1,7,2,4,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [4,5,7,1,2,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [5,4,1,7,3,6,8,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [3,6,4,7,5,2,8,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [3,4,7,6,2,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [4,7,5,6,1,3,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [5,7,6,4,3,1,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [5,7,6,3,1,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,2,3,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [8,7,5,3,4,1,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [6,7,1,3,8,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [7,6,1,3,4,8,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [3,6,5,2,7,8,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,2,8,6,7,1,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [4,8,3,6,5,2,1,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [1,8,6,5,4,2,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [1,8,7,2,3,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [1,8,7,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [3,6,8,5,1,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [3,7,5,1,8,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [7,1,2,8,3,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [6,1,7,8,2,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,7,5,2,8,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [7,1,4,5,8,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [5,7,6,4,2,8,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [7,5,6,1,2,8,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [4,1,3,7,8,6,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [5,1,4,3,6,8,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [4,5,7,6,8,2,1,3]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [5,7,6,8,4,2,1,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [5,1,6,8,4,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [7,4,8,2,3,6,5,1]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [5,6,8,4,7,3,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [6,4,7,8,5,2,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [3,6,4,8,5,1,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>5 [3,7,4,8,1,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [7,4,3,8,2,6,5,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [7,6,8,3,2,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [8,7,1,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [7,1,8,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [7,6,8,3,1,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [3,1,4,8,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [4,8,5,2,1,3,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [5,8,2,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [6,8,2,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,8,2,3,4,6,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [8,1,7,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [8,1,3,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [7,2,1,6,3,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,7,1,6,3,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,7,1,5,4,3,6,8]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [7,2,1,5,4,3,6,8]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [8,1,3,5,4,2,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [8,1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [8,1,5,6,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [8,1,4,5,3,2,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [8,1,4,3,5,2,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [7,2,1,4,5,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [2,7,1,4,5,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [2,6,3,1,5,4,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>5 [6,3,2,1,5,4,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [7,3,1,4,5,2,6,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [7,3,1,5,4,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,3,1,6,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [3,7,1,6,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [3,7,1,4,5,2,6,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,6,2,1,5,4,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>4 [2,3,6,1,5,4,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>5 [3,5,2,4,1,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [6,3,4,1,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>6 [6,2,4,1,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,6,4,1,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,6,5,1,3,7,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>5 [6,2,5,1,3,7,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>5 [6,5,2,1,3,7,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [7,6,1,2,4,5,3,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [6,7,1,2,8,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,7,1,2,5,4,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [5,6,2,1,3,7,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,2,6,1,3,7,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [2,4,6,1,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [4,7,1,3,5,2,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [4,7,1,5,3,2,6,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [5,7,1,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>5 [5,7,1,6,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [5,6,3,1,2,7,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [4,2,5,3,1,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [5,3,6,1,2,7,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [3,4,6,1,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>6 [8,2,7,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [6,8,5,2,3,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [8,5,6,2,7,1,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [6,5,1,2,7,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [4,7,6,1,5,3,8,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [5,7,6,4,1,3,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [7,6,2,4,5,3,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [6,1,7,5,3,8,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [8,6,7,5,3,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [8,5,2,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [7,6,1,5,3,8,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [5,6,2,4,7,8,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [3,4,6,1,7,8,5,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [3,4,8,6,7,1,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [4,8,5,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [5,8,6,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [5,8,6,1,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [5,8,7,3,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [5,8,1,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,1,5,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,1,7,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [6,8,7,2,5,1,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [5,8,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [4,8,1,5,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [3,7,8,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [6,5,2,7,8,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [7,1,2,8,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [8,7,2,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,6,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,1,7,8,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [7,5,6,2,1,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [8,7,5,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [7,1,3,5,8,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [5,1,3,4,6,8,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>5 [4,5,3,6,8,2,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [5,6,3,4,8,1,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [4,6,7,8,5,1,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [8,4,3,1,2,6,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,5,1,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [5,1,8,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [4,6,8,1,5,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [6,4,5,8,3,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [3,6,4,8,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [6,5,8,1,3,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [5,6,8,3,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [6,1,8,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [7,6,8,3,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [8,6,1,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,7,1,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [6,7,8,3,5,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [3,4,8,1,2,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [5,8,2,4,3,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,8,2,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [6,8,2,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [7,8,2,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [8,6,5,1,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [2,6,5,4,1,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [4,1,7,6,3,8,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [4,8,2,5,7,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [3,4,6,5,1,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [2,6,5,3,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [4,6,1,5,2,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [6,2,3,5,1,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,6,7,5,1,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [8,6,1,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [6,2,5,1,8,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [7,6,5,2,8,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [2,6,3,5,1,8,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [2,4,7,6,5,8,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [2,1,4,8,7,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [7,4,6,8,5,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [8,1,3,5,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [3,2,8,7,5,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [4,8,5,1,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [3,8,5,1,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [7,8,6,1,3,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [5,6,7,2,8,1,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [2,5,1,8,6,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [3,5,1,8,6,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [5,2,3,8,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [8,3,5,4,6,7,1,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [5,1,3,8,6,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [3,2,5,8,6,7,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [6,2,1,5,3,8,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [5,6,3,2,8,1,4,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [8,1,6,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,7,6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [4,7,6,8,3,2,5,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [2,7,5,8,1,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [7,6,2,8,5,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [8,1,3,7,5,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,4,8,7,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [6,3,8,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6,8]]=>5 [6,3,8,5,7,4,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [7,4,6,8,5,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [2,1,4,8,7,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [7,1,5,8,2,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [3,6,8,2,4,1,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [4,5,8,2,6,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [5,2,8,1,6,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [2,5,8,4,6,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,8,3,4,6,7,2,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [8,4,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [4,2,8,1,6,7,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [2,4,8,1,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [5,1,8,2,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [3,4,8,7,2,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [7,8,5,3,6,4,2,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [2,8,5,7,4,1,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [5,8,4,1,6,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [3,8,1,4,6,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [8,2,3,4,6,7,1,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [6,2,7,3,8,4,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [7,4,3,2,8,5,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [5,3,2,8,4,6,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [8,4,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [7,4,2,5,3,1,6,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [8,3,6,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [5,4,8,3,2,6,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [3,5,8,2,4,6,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [6,4,7,8,2,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [5,8,3,6,4,2,1,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [4,8,6,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [1,6,4,3,2,8,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [1,5,3,2,8,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [5,7,4,3,1,2,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [2,8,7,3,5,1,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [7,3,8,6,4,1,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [6,1,2,7,3,8,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [2,1,7,4,3,8,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [6,1,4,3,8,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [5,1,3,2,8,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [1,8,4,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [1,8,3,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [5,1,4,8,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [2,1,6,8,5,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [6,1,5,7,8,2,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [8,3,1,6,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [7,4,8,6,1,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [4,7,6,1,2,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [3,7,6,1,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,5,4,8,3,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [7,3,6,1,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [5,4,7,1,3,2,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [5,7,4,8,2,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [4,6,8,2,5,1,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [7,4,6,2,1,5,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [1,2,6,3,8,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,5,2,6,8,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>5 [5,7,2,3,8,1,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [6,4,7,5,8,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [7,4,8,5,1,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [5,8,3,6,1,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [8,6,4,2,1,7,5,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [7,4,2,1,5,8,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [7,6,4,1,8,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [1,6,4,8,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [6,3,1,2,8,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [7,5,1,3,2,8,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [4,7,1,2,5,8,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>6 [6,8,4,1,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [7,5,8,1,2,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,4,8,1,6,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [5,8,2,1,7,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [3,6,1,8,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,3,8,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [5,4,1,8,7,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [3,5,1,8,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [4,6,1,8,3,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [4,7,1,2,8,6,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [5,8,4,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [7,6,8,1,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [8,6,1,7,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [7,1,5,8,6,4,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [5,1,8,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [4,1,8,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [3,1,8,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [1,6,4,5,2,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [1,7,4,5,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [1,7,3,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,6,3,5,2,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,6,3,4,2,5,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>6 [1,7,3,4,2,5,6,8]=>[[1,2,4,5,6,8],[3],[7]]=>6 [1,8,6,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,8,5,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,7,3,4,2,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,5,2,8,4,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,4,2,8,5,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,7,3,5,2,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,8,4,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [1,7,3,6,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,7,3,6,2,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,7,4,6,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,8,5,6,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,8,5,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [1,3,2,8,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [1,4,2,8,5,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,5,2,8,4,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,6,2,8,4,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [8,1,2,4,5,3,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>6 [8,6,4,7,2,1,3,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [1,6,4,7,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [1,4,7,3,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [8,4,6,2,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [5,4,8,2,3,6,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [7,4,8,5,2,3,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [3,8,6,2,4,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [4,8,6,2,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [1,7,5,3,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,7,6,4,8,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [5,8,7,4,1,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [6,8,5,3,4,1,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [6,8,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [8,5,1,6,3,7,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [6,1,3,7,4,8,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [4,1,7,3,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [7,1,6,4,8,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,8,5,7,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [6,1,5,8,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [5,1,7,3,8,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [6,1,5,7,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [7,4,8,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [3,8,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,7,6,1,2,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [4,7,6,1,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,6,5,8,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [6,5,8,4,1,2,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [8,5,7,4,1,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,5,7,4,8,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [7,6,4,8,2,1,3,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [7,6,2,3,8,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [7,4,8,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [8,6,2,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [8,6,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,7,2,8,6,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [7,6,1,3,8,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,5,8,1,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [5,4,1,8,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,4,8,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,5,8,7,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [6,5,1,8,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [5,7,1,3,8,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [7,6,8,1,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,1,5,8,6,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [6,1,8,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [4,1,8,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [5,1,8,7,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,8,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [1,8,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [7,1,5,8,3,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,1,4,3,2,5,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [6,4,2,3,8,5,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [6,4,2,7,5,8,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [2,4,1,7,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [7,1,4,6,5,2,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [7,1,4,6,5,8,2,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [7,1,4,6,3,8,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [7,1,4,3,2,5,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,1,4,6,5,2,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [7,1,4,6,5,3,8,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [7,1,4,6,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [6,4,2,7,5,3,8,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [3,4,7,2,6,8,5,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [3,4,7,1,6,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,4,7,1,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [2,4,1,7,5,3,6,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [3,4,1,7,8,6,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [6,4,2,3,8,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [6,4,2,7,5,8,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,4,2,7,5,3,1,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [3,4,7,2,6,8,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [5,4,7,3,6,8,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,4,7,2,6,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [4,8,3,2,5,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,8,7,3,5,1,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [4,8,7,1,3,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [4,8,3,1,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [3,4,7,1,6,2,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,4,7,1,6,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,4,7,2,6,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [4,8,3,1,2,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [5,8,1,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [6,8,5,1,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [6,8,5,1,3,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [5,8,3,4,2,6,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [5,4,7,3,6,2,8,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [5,4,7,2,6,1,8,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [6,4,3,7,5,1,2,8]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,4,3,7,5,1,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,2,4,3,1,5,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [3,8,7,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [2,4,7,3,6,1,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,8,3,2,1,6,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,8,7,4,3,1,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [5,4,7,3,6,2,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [7,4,3,8,5,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [3,2,5,8,6,1,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [8,4,3,7,5,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [4,3,7,8,5,1,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [5,3,7,8,4,1,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [5,2,3,8,4,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [8,6,5,3,7,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [7,5,4,3,8,2,6,1]=>[[1,6],[2,8],[3],[4],[5],[7]]=>3 [6,4,5,3,8,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [7,5,6,3,8,2,4,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [8,5,7,3,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [6,5,8,3,4,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [7,5,8,3,4,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [7,5,8,4,6,2,3,1]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [7,4,8,3,6,2,5,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [6,4,8,3,5,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [5,4,8,3,7,2,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [6,5,8,4,7,2,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [5,4,6,3,8,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,3,6,2,4,7,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,6,1,4,8,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [5,3,7,2,4,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [4,3,1,5,6,8,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [4,2,1,5,8,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,2,1,5,8,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,2,1,5,8,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [4,3,1,5,7,8,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,3,1,7,5,8,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [6,7,3,1,4,8,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [5,3,7,1,4,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [4,3,1,5,7,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [3,2,1,8,5,4,6,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,2,1,8,5,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [3,2,1,8,7,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [5,2,7,1,8,4,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [6,7,2,1,8,4,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,7,2,1,8,4,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [3,2,1,8,5,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,2,1,8,6,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [4,3,1,6,7,8,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,2,1,6,8,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [4,2,1,6,8,5,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [4,2,1,6,8,5,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [5,2,6,1,8,4,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [5,2,6,1,8,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [5,2,6,1,8,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [5,2,6,1,8,3,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [4,2,1,6,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [4,3,1,6,7,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [6,7,3,1,5,8,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [4,2,1,7,8,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [3,2,1,8,7,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,2,1,8,6,4,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [3,2,1,8,6,4,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,1,8,4,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,1,8,4,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,2,1,8,4,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,2,1,8,7,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [4,2,1,7,8,3,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [5,2,7,1,8,3,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [6,7,2,1,8,3,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [5,2,7,1,8,3,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [4,2,1,7,8,3,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [3,2,1,8,4,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [7,5,2,8,6,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,4,8,6,2,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [7,3,8,6,2,4,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,3,8,5,2,4,6,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,3,8,4,5,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [6,3,8,2,4,5,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [6,3,7,8,2,4,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [5,6,7,3,8,2,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,4,7,2,6,8,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,3,8,2,4,6,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [6,4,8,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [5,6,3,7,8,2,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [6,3,7,2,5,8,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [5,3,6,8,2,4,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,3,6,7,8,2,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [3,6,4,2,1,5,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [3,5,8,6,4,2,1,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [5,8,6,3,4,2,1,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [5,6,3,4,2,1,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [6,3,4,2,1,5,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [5,6,4,2,1,3,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [2,5,4,1,7,8,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [2,7,8,5,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [2,8,5,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,6,3,8,5,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [2,8,6,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [5,8,6,4,2,1,3,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [4,2,1,5,7,8,6,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [2,7,8,6,3,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [4,3,8,5,7,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [7,6,2,1,8,4,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [2,1,8,5,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [4,2,1,8,5,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [8,4,2,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [2,5,6,3,8,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [6,3,4,2,1,8,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [3,7,8,5,6,4,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [3,8,5,6,4,2,1,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [3,6,4,2,1,8,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [3,8,6,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [3,7,8,6,4,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [8,5,3,7,6,2,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [7,6,2,4,1,8,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [8,5,4,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [7,6,2,3,8,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [2,1,7,8,6,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [2,1,6,4,3,7,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [6,4,2,1,3,7,8,5]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,3,7,8,4,2,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [7,8,4,2,1,6,3,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [5,7,6,2,3,8,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [2,6,1,8,4,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [2,6,1,7,5,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [8,4,2,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,5,7,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [4,8,5,7,6,2,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [4,7,6,2,1,3,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [7,5,6,1,8,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [2,7,5,8,4,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [2,8,4,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [6,4,7,8,3,2,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,6,5,8,4,3,2,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [7,6,5,4,3,2,8,1,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [6,4,3,7,5,2,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,3,7,2,5,4,1,8]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,3,2,7,5,4,1,8]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [8,4,2,6,3,1,7,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [1,5,3,7,4,2,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,6,7,3,4,2,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [8,6,5,2,3,1,7,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [1,7,6,3,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,8,6,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,7,5,2,1,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [7,8,5,2,1,4,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [6,8,5,2,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [5,8,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [4,8,2,6,3,1,7,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [3,2,8,6,4,1,7,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [3,2,1,7,5,4,8,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [4,1,3,7,5,2,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [5,1,7,3,4,2,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [7,1,6,3,2,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,2,7,4,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [6,1,8,2,4,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>5 [5,1,8,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [3,2,8,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [4,8,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [5,8,7,2,1,4,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [6,8,7,1,3,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,8,6,1,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,7,8,2,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [8,6,7,1,3,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,6,8,1,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,5,8,2,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [1,6,8,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [1,5,3,8,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [8,4,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [7,4,2,8,1,5,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [6,4,2,8,3,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [5,4,2,3,8,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [4,5,2,3,1,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [7,4,2,1,3,6,8,5]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [8,4,2,1,3,6,7,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [1,5,3,2,4,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [8,5,1,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [5,6,1,3,4,2,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [4,6,2,1,5,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [4,7,2,1,3,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,7,1,3,2,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [6,7,1,2,4,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>6 [8,6,1,2,4,5,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [1,8,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>6 [8,7,1,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [7,8,1,2,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [5,8,1,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [4,8,2,1,3,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [4,1,3,2,5,7,8,6]=>[[1,2,5,6,8],[3,7],[4]]=>5 [5,1,2,4,3,7,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [5,4,8,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,4,7,6,3,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [4,8,3,2,7,6,1,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [4,3,8,2,7,1,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [4,3,2,8,1,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [4,1,8,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [4,7,8,1,2,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [2,6,3,4,7,8,1,5]=>[[1,3,4,5,8],[2,7],[6]]=>6 [3,1,7,8,4,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [3,7,8,2,6,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [3,7,2,4,8,6,1,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [1,3,6,4,7,2,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [4,7,1,5,8,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [8,6,5,2,7,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [7,4,8,5,6,3,2,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [3,4,6,7,8,5,1,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [1,2,6,4,7,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>6 [3,1,7,5,4,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [6,3,8,5,4,7,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [1,6,2,5,4,7,8,3]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [1,8,2,5,6,3,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,2,6,4,8,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>5 [7,8,3,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [4,8,1,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [7,4,1,5,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [5,6,1,8,4,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [5,1,8,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [5,1,6,3,8,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [6,1,2,5,8,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [6,1,8,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [7,1,2,5,4,8,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [1,2,7,5,8,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [4,1,6,3,7,5,2,8]=>[[1,2,5,8],[3,6,7],[4]]=>5 [1,3,6,7,8,5,2,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,2,6,4,7,8,5,3]=>[[1,2,3,5,8],[4,7],[6]]=>6 [4,1,6,3,7,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [3,1,6,4,8,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [7,8,4,1,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [4,1,6,3,8,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [7,5,1,8,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,5,1,7,4,3,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [4,1,8,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,1,6,8,3,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [5,4,6,1,3,8,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [6,5,8,1,4,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [1,3,5,7,4,6,8,2]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,3,5,4,7,2,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,3,5,4,7,8,2,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,3,5,4,7,2,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,3,5,7,4,8,2,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,3,5,7,4,8,6,2]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,3,5,7,8,4,2,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,6,3,2,7,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [3,5,1,6,2,8,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [1,3,7,2,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [1,3,7,5,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [2,5,7,4,3,8,1,6]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [2,5,3,7,4,8,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [3,2,6,7,8,1,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,5,2,7,8,4,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [1,5,7,4,8,3,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [3,5,2,6,8,4,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>4 [1,5,7,2,4,8,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>5 [4,6,3,7,2,8,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [1,4,7,3,8,6,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [5,1,6,8,2,4,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [5,3,7,8,2,4,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [8,5,3,7,2,4,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [8,2,4,7,3,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,4,7,8,3,1,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [6,3,1,5,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [6,5,3,4,2,8,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [5,2,4,3,8,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [3,2,4,8,1,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,2,4,6,8,1,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [8,1,5,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,4,6,7,2,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [4,6,7,8,2,3,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [7,4,6,8,2,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [7,2,4,8,3,1,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [5,3,8,7,2,4,1,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [2,4,8,7,3,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,6,8,7,2,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [8,7,4,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [5,6,8,7,2,3,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [6,4,8,7,2,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [3,1,7,4,2,8,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [3,2,8,4,1,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [7,6,4,8,2,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [5,7,6,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [4,7,6,8,2,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [8,6,4,7,2,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [8,2,3,7,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,3,7,8,4,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [3,7,4,8,2,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [2,3,7,4,1,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [8,1,6,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [4,7,8,6,2,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [2,4,7,3,1,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [6,3,1,7,4,2,8,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [8,5,7,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [7,5,8,6,2,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,1,6,4,2,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [3,1,7,6,4,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [4,8,7,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [6,8,7,5,2,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [4,3,6,1,5,8,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,3,6,5,1,8,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,6,3,5,1,8,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,6,3,1,5,8,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,1,6,5,3,8,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [4,6,1,5,3,8,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [2,6,5,3,1,8,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [2,6,5,1,8,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [2,6,5,8,1,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [2,6,5,8,1,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [2,6,5,8,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [2,6,5,3,8,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [4,6,1,5,8,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [4,1,6,5,8,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [1,4,6,5,8,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [4,1,6,5,8,7,3,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [2,6,5,3,8,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,4,3,8,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [6,4,8,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [2,6,8,5,3,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [4,6,8,1,5,7,3,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [4,6,1,8,5,7,3,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [4,1,6,8,5,7,3,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [1,4,6,8,5,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,4,6,8,5,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [4,6,1,8,5,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [2,6,8,5,3,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [2,6,8,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [4,6,8,3,5,1,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,6,8,3,1,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,6,3,1,8,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,6,3,8,1,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,6,3,8,5,7,1,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,3,6,8,1,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,3,6,1,8,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,3,1,6,8,5,7,2]=>[[1,2,7],[3,5,8],[4,6]]=>4 [4,1,3,6,8,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,3,6,1,8,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,3,6,8,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [6,5,2,8,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,5,2,8,7,1,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,2,5,8,7,1,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [6,2,5,8,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [4,6,3,8,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,6,3,1,8,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,1,6,3,8,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [1,4,6,3,8,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,1,6,8,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [4,6,1,8,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [4,6,8,1,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [6,2,8,5,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,2,8,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [2,4,8,7,1,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [4,2,8,7,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [6,4,1,8,7,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [6,1,4,8,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [1,6,4,8,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [6,4,1,8,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [4,2,8,7,5,1,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [2,4,8,7,3,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,3,4,7,8,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>6 [2,3,7,1,4,8,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,6,1,3,7,8,5,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [1,5,3,2,6,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,5,3,2,6,7,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,7,3,2,8,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [1,3,2,7,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [6,5,2,4,3,7,1,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [6,4,2,5,3,7,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [5,4,7,6,2,3,1,8]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [3,6,4,8,2,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [1,6,2,8,5,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [4,6,2,3,7,5,1,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,7,2,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [4,7,2,3,5,6,1,8]=>[[1,3,5,6,8],[2,7],[4]]=>5 [5,3,2,7,4,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,2,6,4,7,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [4,6,2,3,5,7,1,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [3,5,2,1,6,8,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [1,5,2,6,8,4,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [1,5,7,2,8,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [3,5,2,1,8,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,6,8,4,2,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [4,3,2,6,1,8,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [1,5,8,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,7,2,3,4,8,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [6,8,2,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [4,1,8,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [2,3,1,8,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [7,3,2,1,4,5,8,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,8,1,4,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,1,2,3,4,6,8,5]=>[[1,2,3,4,5,8],[6],[7]]=>6 [6,1,2,3,4,8,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,8,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [8,1,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>6 [2,8,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [8,7,1,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [8,3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [3,8,2,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,8,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [1,7,8,3,5,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,4,1,8,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [8,4,1,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [3,8,4,6,2,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,4,2,5,3,1,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [8,3,2,5,4,1,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [4,3,2,5,1,8,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,5,2,4,1,8,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [2,4,7,8,1,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [1,8,7,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [5,1,8,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [5,1,7,2,8,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [6,1,2,8,5,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [6,3,2,1,8,4,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [7,3,2,8,4,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [2,7,8,4,3,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,1,8,3,5,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,8,2,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [6,7,1,3,4,8,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,8,1,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [1,7,2,3,4,6,8,5]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,6,2,3,4,8,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [7,6,2,3,4,1,8,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [8,6,2,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [8,1,7,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [8,3,2,7,4,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [6,7,2,3,4,1,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [7,6,2,3,4,8,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [8,6,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [6,3,4,8,7,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [4,8,7,3,5,6,1,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [4,8,7,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [5,8,7,3,4,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [5,8,4,2,1,6,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,8,4,1,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [5,3,7,2,6,1,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,2,8,1,6,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [5,8,2,1,4,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [4,8,2,5,1,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [7,8,4,1,2,6,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [4,8,1,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [5,8,1,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [5,2,8,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [3,8,7,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [2,8,7,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [7,8,2,6,5,1,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [1,8,7,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [2,8,7,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [1,8,7,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [1,8,7,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [2,8,1,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [2,1,7,3,6,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [3,1,7,2,6,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [3,2,7,1,6,5,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [6,1,2,8,5,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [6,2,1,8,5,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [6,3,1,8,5,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [6,4,2,1,7,5,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,1,3,8,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [2,3,7,1,6,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [1,3,7,2,6,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [7,8,2,6,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [3,2,6,7,5,8,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [1,2,7,5,6,3,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [2,8,7,6,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [3,8,7,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [3,8,7,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [4,8,7,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [4,8,7,6,1,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [3,8,7,6,4,1,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [7,8,3,6,5,1,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [2,3,7,5,6,8,1,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [3,8,7,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [5,1,4,6,8,2,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [1,7,6,3,5,4,8,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [4,3,7,2,6,5,1,8]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [3,4,6,1,5,7,2,8]=>[[1,2,5,7,8],[3,4],[6]]=>6 [1,6,8,5,7,3,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [2,4,1,5,8,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [4,6,1,2,5,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [5,6,7,2,1,4,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [7,8,6,5,1,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [1,3,6,5,7,8,2,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [7,4,8,5,3,1,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [6,8,5,2,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [2,3,1,6,8,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [7,3,2,5,1,4,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [7,1,4,2,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,5,8,3,4,6,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>5 [8,3,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [2,3,8,1,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,1,4,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [3,5,2,4,1,7,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,4,7,8,6,2,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [3,4,8,6,2,7,1,5]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [5,8,2,1,6,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [5,7,2,8,6,4,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [6,1,2,7,5,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [7,3,2,8,6,4,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [2,7,8,4,6,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [1,4,5,7,2,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [7,3,5,2,6,1,8,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [8,5,2,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [8,1,6,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [2,8,6,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [8,3,2,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [2,3,8,7,6,5,1,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [1,2,8,7,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [4,2,8,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [4,5,8,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [1,5,8,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [4,5,8,7,3,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [2,6,8,1,7,5,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [3,6,8,4,7,2,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [2,5,8,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [3,2,8,4,7,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [1,5,8,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [3,5,8,4,7,2,1,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [5,6,8,2,3,7,1,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [1,6,8,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [1,5,8,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [1,5,8,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [2,1,8,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [2,5,8,4,3,7,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [5,6,8,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [5,6,8,1,3,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [1,6,8,4,3,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [5,6,8,4,3,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [7,1,2,8,6,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [7,1,4,8,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,3,1,8,6,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,2,4,8,3,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [7,1,4,8,3,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [7,4,5,8,3,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [1,6,2,8,7,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [1,6,4,8,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [3,6,4,8,7,2,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [3,2,5,8,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,2,4,8,7,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,1,5,8,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [3,1,4,8,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [1,6,4,8,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [1,4,5,8,2,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [2,4,5,8,3,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,6,5,8,1,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [1,6,4,8,3,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [1,4,5,8,3,2,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [7,6,1,4,8,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,6,1,3,8,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,6,3,4,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [7,2,5,1,8,6,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,2,5,3,8,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,2,1,4,8,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,2,1,3,8,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,2,3,4,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [7,3,5,4,8,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [2,6,5,1,8,7,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [2,3,5,4,8,7,1,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [1,6,5,4,8,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [1,6,5,3,8,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [1,6,3,4,8,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [1,3,5,4,8,2,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [3,6,5,4,8,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [7,6,5,2,3,8,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [7,6,1,4,2,8,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,6,1,2,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,6,2,4,3,8,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [7,1,5,4,2,8,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,1,5,2,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [7,1,2,4,3,8,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [2,6,5,4,3,8,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [7,6,1,4,3,2,8,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [7,1,5,4,3,2,8,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [2,7,8,3,5,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [4,7,1,2,8,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [4,8,1,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [2,7,1,3,6,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [6,7,3,2,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [7,3,4,2,6,1,8,5]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [8,7,4,2,1,5,3,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [2,7,1,3,6,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [8,4,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [6,4,8,2,1,5,3,7]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [6,8,3,2,5,1,4,7]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,1,4,2,7,5,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>6 [5,4,3,7,1,6,8,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [8,2,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [7,2,8,6,5,4,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [2,10,9,8,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>2 [9,2,8,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>2 [3,9,8,7,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>3 [8,7,2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [3,2,8,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [4,8,7,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [7,8,6,1,5,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [7,3,8,6,5,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [4,8,5,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [8,5,6,1,3,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,6,1,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [7,8,1,5,3,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [8,1,7,5,3,2,4,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [8,6,1,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,6,3,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,4,6,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,6,2,1,5,4,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [8,5,2,6,1,4,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [8,5,2,1,7,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [7,8,2,1,5,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,8,3,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [8,2,7,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,4,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,2,7,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,2,6,1,7,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [8,1,7,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,1,5,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [5,7,8,1,3,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [8,2,6,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [5,8,1,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,7,6,1,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [6,7,2,5,1,8,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [7,5,1,6,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [6,5,7,1,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,7,3,8,1,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [7,5,4,1,8,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,6,1,4,8,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [8,1,6,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,5,8,1,3,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,8,4,1,3,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [8,3,7,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [8,5,1,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [6,8,1,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,1,8,4,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [7,3,1,8,6,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [8,3,1,7,4,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,4,5,1,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [5,6,8,1,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [6,5,8,1,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [7,3,1,8,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [6,2,7,8,3,1,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [5,8,1,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,4,1,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [8,3,4,7,1,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,2,7,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [7,4,8,2,1,3,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [7,4,3,8,1,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,2,3,6,7,1,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [7,8,5,2,3,6,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [6,8,5,2,3,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [3,5,2,6,8,1,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,5,2,4,6,8,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [2,4,5,7,3,6,8,1]=>[[1,3,5,6,8],[2,7],[4]]=>5 [2,4,5,3,6,8,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [5,2,4,6,8,1,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [5,1,3,4,6,8,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [4,3,5,2,6,8,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,3,5,7,2,8,1,6]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,3,5,7,2,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,6,3,7,2,5,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,6,3,1,7,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,3,5,1,7,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [5,7,1,3,4,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [5,7,1,3,4,6,8,2]=>[[1,2,4,6,8],[3,7],[5]]=>5 [4,5,7,1,3,6,8,2]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,3,6,7,1,5,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,6,3,5,1,7,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,6,3,5,7,2,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,5,6,4,1,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [3,1,5,6,7,4,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [5,1,6,7,3,4,8,2]=>[[1,2,4,8],[3,6,7],[5]]=>6 [6,4,7,1,3,5,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,6,7,3,4,5,8,2]=>[[1,2,4,5,8],[3,7],[6]]=>6 [2,6,7,4,5,8,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [2,6,7,4,8,1,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [5,3,6,1,2,7,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [3,5,2,6,1,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,2,6,7,4,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [5,2,3,6,7,4,8,1]=>[[1,3,4,7,8],[2,6],[5]]=>6 [5,2,3,6,1,7,8,4]=>[[1,3,4,7,8],[2,6],[5]]=>6 [5,2,6,1,3,7,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [4,2,6,7,3,5,8,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [6,3,7,2,4,5,8,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [3,5,7,2,8,1,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,7,2,4,8,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [7,2,4,6,8,1,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [7,1,3,4,6,8,2,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [3,7,2,4,6,8,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,5,7,2,6,8,1,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [6,3,7,2,5,8,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,3,5,7,2,8,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,3,5,7,2,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,2,4,5,7,3,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [6,2,4,5,1,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [4,7,1,2,5,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [2,6,7,5,8,1,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [4,6,7,1,2,5,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [5,6,2,4,7,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,2,6,7,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,2,6,1,7,8,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [1,5,4,6,2,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [5,6,4,1,2,7,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [6,4,5,1,2,7,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [6,3,5,1,7,8,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [6,5,7,2,8,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [6,5,7,1,3,4,8,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [5,6,4,7,1,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,4,6,3,1,7,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [7,5,3,2,4,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [8,4,5,2,6,1,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,5,4,2,1,6,3,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,5,3,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [8,4,5,3,1,6,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [7,5,4,2,1,8,3,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,5,4,2,1,6,8,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [7,4,5,3,1,6,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [7,4,3,5,6,1,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [5,6,3,7,4,1,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [5,6,7,3,1,4,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [6,7,3,4,1,5,8,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [6,7,4,2,1,5,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [5,6,7,3,1,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,3,7,8,1,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,3,7,2,4,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,6,7,2,3,8,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [7,4,5,2,8,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [6,7,3,2,4,8,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [7,6,4,2,1,3,8,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [7,6,3,4,1,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [7,6,3,2,4,1,8,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [6,7,3,2,5,1,8,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,5,3,2,7,8,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [6,5,3,2,7,4,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [6,4,5,2,7,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [6,4,5,2,7,8,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [7,4,5,2,6,1,8,3]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [7,4,5,6,1,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [7,5,6,2,1,3,8,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [6,7,3,5,1,2,8,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [5,6,7,4,1,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,6,7,2,4,1,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,6,4,2,7,8,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [6,5,7,2,1,8,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [6,5,7,2,1,4,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [5,4,6,7,3,1,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [3,7,8,5,6,1,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [1,7,8,5,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [1,7,5,8,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [3,7,5,8,6,1,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [5,7,3,8,6,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [1,5,7,8,6,3,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [1,5,7,8,3,6,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [5,3,7,8,1,6,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,8,1,5,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,1,8,5,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,1,5,8,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [5,1,7,8,3,6,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [3,1,7,8,5,6,4,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [1,3,7,8,5,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [3,1,7,5,8,6,4,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [5,1,7,3,8,6,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [7,1,5,3,8,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,1,5,8,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [5,3,7,1,8,6,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [3,5,7,1,8,6,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [1,7,5,3,8,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [5,7,3,1,8,6,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,7,3,8,6,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [1,7,5,8,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [1,7,8,5,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [5,7,8,6,3,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,7,8,1,6,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [3,7,8,1,5,6,4,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [1,7,8,3,5,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,7,3,8,5,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [3,7,1,8,5,6,4,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [5,7,1,8,3,6,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [5,7,1,8,6,3,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [7,5,1,8,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,5,8,1,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,8,5,1,6,3,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,5,8,1,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,5,1,8,3,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,5,1,3,8,6,4,2]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [5,7,1,3,8,6,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [3,7,1,5,8,6,4,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [1,7,3,5,8,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,5,3,7,8,6,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [3,5,1,7,8,6,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [5,3,1,7,8,6,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,3,1,5,8,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,3,1,8,5,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,8,3,1,5,6,4,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [7,1,8,3,5,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,1,3,8,5,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,1,3,5,8,6,4,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [3,1,5,7,8,6,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [5,7,3,4,8,6,1,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [5,7,3,4,8,1,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [5,7,3,4,1,8,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [5,7,3,1,4,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [5,7,3,1,4,8,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [5,3,7,4,1,2,6,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [5,3,7,1,4,2,6,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [5,3,7,1,4,2,8,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [3,7,5,1,2,8,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [7,3,5,8,1,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [3,7,5,1,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [6,1,4,3,5,2,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [2,5,7,3,8,4,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [5,4,7,8,6,1,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [7,5,6,2,8,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [4,7,2,5,8,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [6,2,4,5,1,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [5,1,4,6,3,2,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [3,5,6,2,4,1,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,8,6,7,5,4,1,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [6,2,7,8,3,4,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [2,5,3,4,8,1,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [8,7,1,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [5,1,8,2,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [5,4,7,6,2,8,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [3,7,8,1,5,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [7,1,3,4,6,8,5,2]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [8,3,6,5,7,1,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [5,8,7,1,4,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [4,7,6,1,8,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [4,7,2,6,3,8,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [2,1,8,4,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [4,7,8,6,3,1,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [3,8,1,5,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [6,7,2,4,8,5,3,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [2,8,3,6,7,5,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,1,7,6,3,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [3,2,4,5,8,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [7,4,6,3,2,1,8,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [4,7,3,2,1,8,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [6,4,7,5,2,3,8,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,4,8,1,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [4,8,7,2,3,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,2,3,1,8,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [7,6,8,1,3,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [6,7,5,2,3,1,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [4,7,2,6,5,1,8,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [6,4,2,1,8,5,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [7,2,1,5,6,8,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [8,7,2,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [6,7,8,2,5,3,1,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [2,1,7,3,6,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,1,5,7,8,4,6,3]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,5,7,8,3,6,1,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [6,4,1,5,7,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [7,4,8,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [4,2,7,8,6,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [6,1,7,4,3,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,8,3,4,2,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [4,2,6,1,5,7,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [2,4,6,7,3,5,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>5 [6,5,8,3,7,4,1,2]=>[[1,2],[3,4],[5,7],[6,8]]=>4 [7,1,4,8,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [6,8,7,5,3,4,1,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [4,8,6,3,1,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [3,4,8,2,5,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [2,5,7,4,8,6,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [2,6,4,8,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [6,3,7,2,8,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [3,6,2,5,8,7,1,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [5,2,8,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [7,2,4,8,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [6,2,4,8,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [2,4,5,8,7,6,1,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [4,2,7,3,8,1,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [6,1,3,8,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [3,1,5,6,2,8,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [4,1,5,2,8,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [4,1,5,3,2,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [3,4,5,1,8,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [1,4,5,2,8,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,6,4,2,8,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [7,4,2,5,1,8,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [4,6,2,7,5,1,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [1,5,3,6,2,8,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,5,8,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [4,5,8,2,1,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [3,6,2,5,1,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [2,4,8,7,1,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [1,3,8,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [6,3,1,7,2,8,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [7,5,1,2,8,6,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [1,5,2,3,8,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [4,5,1,2,8,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [6,4,1,2,8,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [5,2,8,1,3,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [4,7,5,6,8,3,1,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [8,6,4,7,5,3,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [7,5,2,6,4,1,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [1,6,3,7,5,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,3,7,4,5,8,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,2,6,3,4,1,5,8]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [8,3,7,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [6,8,4,7,5,3,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [4,8,7,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [3,8,7,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [1,6,5,2,8,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [8,6,5,2,1,4,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [2,7,6,3,1,4,5,8]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [6,8,5,3,2,1,4,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [2,7,6,4,5,1,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [5,7,2,6,4,1,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [6,1,3,7,5,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [4,1,7,3,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [8,1,6,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [2,1,7,4,8,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [1,8,6,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [1,8,2,7,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [2,1,3,8,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [8,1,2,7,4,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [5,3,1,6,8,4,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [6,2,8,7,1,4,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [8,7,2,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,2,3,1,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,4,8,3,1,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,4,2,7,1,5,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [4,7,3,8,2,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [5,2,7,3,1,4,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>5 [8,3,7,2,1,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [1,3,7,2,8,4,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,4,2,5,8,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [6,5,3,8,2,1,4,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [2,6,4,5,7,1,3,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [5,4,6,2,7,1,3,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [7,6,3,1,8,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,6,2,1,8,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [1,7,5,8,6,4,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,5,1,2,8,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [8,6,1,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [6,8,4,1,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [6,5,7,1,3,8,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [5,8,3,1,7,4,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [8,3,1,7,5,4,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [1,3,8,7,4,6,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [1,2,8,7,6,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [8,2,1,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,3,1,8,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,4,1,8,5,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [5,8,2,1,7,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [6,2,7,1,8,5,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [8,7,1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>2 [7,1,8,3,6,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [4,1,8,7,5,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [8,1,2,3,4,5,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [8,1,2,3,4,9,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [8,1,2,9,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [8,1,9,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [9,1,2,3,4,5,6,10,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [3,5,8,7,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [5,8,2,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [2,1,6,4,5,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [8,6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [4,6,3,8,5,2,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,6,3,7,5,2,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [3,5,7,8,2,6,1,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [7,2,3,4,6,8,5,1]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [4,8,3,7,5,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [5,2,3,4,8,7,1,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [5,2,3,4,6,8,1,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [4,2,8,5,7,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [3,7,6,4,5,1,8,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [4,8,3,7,5,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [8,7,3,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [4,2,7,5,8,6,3,1]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [5,8,1,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [5,2,7,8,4,6,3,1]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [5,2,8,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,2,7,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [6,2,3,4,8,5,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [6,2,3,4,1,8,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [7,2,3,4,1,8,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [7,2,3,4,1,5,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [1,2,3,4,8,7,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [1,2,8,5,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [1,8,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>6 [8,6,7,4,1,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [4,8,6,7,5,1,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [7,1,8,4,6,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [8,7,1,5,4,6,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,5,7,1,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [6,4,8,5,1,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [4,8,5,7,1,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [8,4,7,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [8,7,1,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [8,7,4,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [8,7,5,1,4,6,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,7,2,5,1,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [4,8,7,2,5,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [1,6,4,8,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [8,7,1,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,7,5,1,2,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [7,1,8,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [3,8,7,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,5,8,7,1,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [2,3,8,5,7,1,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [3,8,7,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [3,5,8,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [2,3,8,6,7,5,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [3,2,8,6,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [4,1,8,6,2,7,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [8,7,4,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [1,3,8,6,7,5,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [5,7,1,8,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [2,8,7,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,7,1,5,2,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [7,1,8,2,4,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,6,2,8,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,3,8,5,7,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,8,3,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [2,8,7,1,3,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [5,7,1,8,2,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [7,1,8,2,3,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [8,6,3,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [4,2,8,6,7,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [8,4,2,7,5,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [4,8,3,6,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [8,3,4,7,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [8,3,7,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [8,7,4,2,5,6,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [8,7,5,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [8,7,2,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [4,8,6,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [4,7,1,8,2,6,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [4,2,8,6,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [8,7,4,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,2,7,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,2,7,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,8,3,6,7,1,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,7,2,1,3,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [1,8,7,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,8,7,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [8,2,7,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [1,8,7,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,8,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [8,2,7,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,2,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,7,3,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [2,8,7,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,3,1,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [8,5,2,1,6,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [1,5,2,8,6,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [1,2,8,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,8,3,6,7,5,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,2,3,6,7,5,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,3,7,2,5,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [8,1,3,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,4,1,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,1,4,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,2,8,6,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,1,2,7,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [8,1,7,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,1,7,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [8,1,7,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [8,1,3,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,8,3,6,7,2,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,7,8,2,3,6,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [8,3,7,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,7,1,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [3,1,8,5,7,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [8,3,5,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [8,3,6,2,4,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,4,2,7,6,1,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [4,8,1,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [3,7,1,8,6,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [3,1,6,8,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [6,3,8,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [7,8,5,2,1,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,5,2,3,1,4,8,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [4,7,8,1,3,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [5,7,1,3,4,6,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [8,4,6,2,1,3,7,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [5,4,8,7,3,1,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,8,3,7,2,5,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [5,4,6,8,2,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [5,7,4,2,8,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [6,4,7,2,1,8,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,5,3,4,1,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [6,8,5,4,1,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [6,4,2,8,1,5,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [6,3,7,8,2,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [7,3,5,6,4,2,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [4,8,6,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [6,3,8,7,2,4,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [5,3,8,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [5,3,7,8,6,2,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [6,5,2,4,3,7,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [5,4,6,2,8,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,7,3,8,6,2,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,4,6,8,2,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,7,8,2,6,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [1,7,4,8,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [3,6,2,5,7,8,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [5,2,7,4,6,8,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [5,3,6,7,1,8,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [4,2,5,6,7,1,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [8,1,3,6,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [8,1,4,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,7,5,2,8,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [3,6,4,8,1,5,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [1,5,8,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [3,5,7,4,1,6,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,5,7,1,2,6,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>5 [4,5,1,8,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,7,1,8,2,6,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [7,5,1,2,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [5,2,6,1,3,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [6,7,1,3,2,5,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>5 [7,8,2,4,3,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,8,2,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [6,7,2,4,3,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [2,5,1,6,4,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [3,6,5,7,4,8,1,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [6,7,5,8,1,3,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [4,5,1,3,2,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,6,5,7,1,3,2,8]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [4,6,1,3,2,7,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,5,2,3,1,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,6,5,7,3,8,1,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [3,4,2,6,1,7,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [3,6,2,7,5,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [4,6,1,7,3,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [3,5,2,7,6,4,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [1,5,7,2,8,3,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [2,5,7,3,1,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [2,1,5,6,8,4,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [1,3,7,2,8,5,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [4,6,2,7,1,8,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [1,5,4,3,6,8,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [2,1,5,6,8,4,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,1,5,6,8,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [3,6,5,2,7,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,2,4,7,5,8,3,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [1,5,7,8,4,2,6,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [3,7,4,1,8,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [4,2,5,7,3,1,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,5,6,1,8,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [4,6,3,2,1,7,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,3,5,7,6,1,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,3,2,6,1,7,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [5,3,2,1,6,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,1,6,2,7,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,1,6,3,2,7,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [4,6,1,7,5,3,2,8]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [5,3,6,4,2,1,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,2,6,4,1,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,2,1,6,3,7,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,2,6,3,1,7,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [4,2,6,3,1,7,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,5,7,2,8,6,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [2,4,7,1,3,6,5,8]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,6,1,3,7,5,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>5 [5,1,6,2,7,4,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,2,1,6,4,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,4,2,1,6,3,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,4,1,6,2,7,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,1,6,4,2,7,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>6 [2,6,1,5,4,3,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [3,1,6,2,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [5,1,6,4,3,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,4,1,6,3,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,4,3,1,6,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [3,8,2,6,5,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [7,3,2,1,5,4,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [5,2,7,6,8,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [3,8,7,2,5,4,1,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [7,4,2,1,5,6,3,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [7,2,8,6,5,1,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [4,3,7,2,5,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [6,7,1,4,3,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [3,4,2,6,7,1,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [3,7,1,6,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [3,5,6,2,4,7,1,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,8,7,2,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [1,7,8,2,5,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [8,7,2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [2,5,6,4,7,1,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [4,7,1,6,3,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [4,5,3,8,7,2,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [1,4,5,3,7,8,2,6]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,4,8,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [4,7,3,5,1,8,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [8,7,3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [2,5,8,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [5,4,2,1,7,8,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [4,7,8,3,5,2,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,7,6,2,1,8,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [1,4,6,7,3,5,8,2]=>[[1,2,5,7,8],[3,6],[4]]=>5 [8,3,6,2,1,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [8,3,7,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [2,3,1,8,4,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,7,4,8,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [8,6,5,1,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [8,5,4,1,7,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [6,3,7,2,8,5,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [1,6,3,8,2,7,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [1,7,5,3,8,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [6,2,7,4,1,8,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [8,6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [2,7,5,1,3,8,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [1,7,6,4,3,8,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [3,7,2,4,8,6,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [3,4,2,8,7,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [5,1,4,3,2,7,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [3,7,8,5,2,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [3,7,6,2,4,1,8,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [1,6,8,2,5,7,4,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [6,7,2,5,8,4,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [5,2,7,8,4,3,1,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [5,3,1,7,8,4,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [2,7,6,4,1,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [4,1,7,6,3,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [8,4,2,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [6,3,1,7,5,2,8,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [6,2,7,5,3,1,8,4]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [1,5,8,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [5,7,2,8,4,6,3,1]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [5,7,3,1,8,4,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [8,4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [2,6,8,5,7,4,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [6,5,2,1,7,4,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [5,7,4,6,2,1,8,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,6,4,8,3,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [6,7,1,8,3,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [5,6,2,7,1,8,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [1,8,2,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [2,3,1,8,5,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [4,6,2,7,1,5,3,8]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,7,1,6,2,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [4,7,1,5,3,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [1,8,5,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [4,6,5,8,1,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [3,5,4,6,2,8,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,7,2,3,1,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [2,4,3,8,1,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,5,7,8,2,6,3,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [5,2,6,8,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [3,1,6,8,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [6,1,4,8,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [6,1,8,4,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [4,6,7,8,2,5,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [7,4,5,2,8,6,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [6,8,2,5,3,7,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [3,4,7,5,8,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [2,7,5,3,8,6,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [5,6,2,8,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [1,5,8,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [6,7,4,8,1,5,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [1,7,4,8,6,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [6,8,5,3,7,2,4,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [6,8,5,2,3,7,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [7,5,3,8,2,6,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [7,5,2,3,8,6,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [6,7,3,4,8,5,2,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [3,6,4,7,8,5,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,4,2,5,8,6,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [7,4,5,8,1,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [6,3,4,7,8,5,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [6,1,2,7,4,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>6 [2,5,8,3,4,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [5,6,2,7,4,3,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [4,6,7,3,2,5,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [2,6,7,3,8,5,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [2,5,7,8,4,3,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [3,6,8,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [1,6,8,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,4,5,7,8,2,6,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [3,4,5,7,8,6,1,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,4,5,7,6,8,1,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,6,7,4,8,5,1,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [3,4,5,6,8,7,1,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [1,4,5,8,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,2,5,8,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,4,5,8,6,2,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [7,8,1,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [1,6,7,4,8,2,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,4,5,6,8,2,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,4,5,8,6,2,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,2,5,8,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,6,7,2,3,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [7,8,1,2,3,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,6,7,2,3,5,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,4,5,7,6,2,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [1,2,5,7,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,2,5,7,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,6,8,2,3,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,6,8,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [1,6,8,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [1,6,8,2,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,6,8,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,4,5,7,6,2,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [7,8,1,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [7,8,1,2,3,4,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [7,8,1,2,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,6,7,2,3,8,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,2,5,6,3,8,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [4,2,1,6,5,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [6,8,2,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [8,6,2,4,3,1,5,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [4,6,5,2,8,3,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [8,4,2,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [4,2,6,3,5,8,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>4 [6,2,4,3,8,5,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [8,2,4,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [6,2,1,8,4,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [6,4,8,5,2,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [4,6,8,7,5,2,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [2,6,8,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [4,2,8,6,5,7,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [8,2,6,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,8,5,3,1,4,6,7]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [2,7,4,8,3,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [2,7,4,8,3,5,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,2,8,4,3,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [8,4,2,1,5,3,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,5,1,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [8,4,1,5,3,2,6,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [6,7,3,8,4,2,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [6,7,3,8,4,2,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [7,1,8,4,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [1,7,8,4,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,1,4,8,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,4,8,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [7,1,8,4,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [6,7,3,1,8,4,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [6,7,3,8,4,5,2,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [6,7,1,4,8,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,7,4,1,3,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [1,6,7,8,4,3,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [7,2,1,8,4,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [6,2,7,1,8,4,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,2,7,8,4,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,2,7,8,4,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [2,6,7,4,8,3,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [2,6,7,4,8,3,1,5]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [7,8,1,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [1,2,7,8,6,3,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [2,6,7,1,8,5,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [2,6,7,8,5,3,1,4]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [2,6,7,8,5,3,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [6,2,7,8,4,5,3,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [7,2,1,8,4,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [1,7,2,8,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [3,7,8,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [6,3,7,8,1,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [6,7,1,2,8,5,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,6,7,8,4,2,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [3,1,2,7,6,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [6,1,2,4,7,3,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,7,5,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [5,1,2,6,7,4,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [4,1,5,7,3,2,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,6,1,7,3,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,6,1,8,3,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,7,1,8,3,5,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [4,1,7,8,6,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [1,6,5,7,8,3,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,6,5,8,7,3,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [4,1,8,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [4,8,1,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [4,8,1,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,7,1,6,3,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [6,1,2,3,7,5,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [6,8,1,5,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [8,7,5,2,4,1,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [1,5,7,3,4,8,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,5,8,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [7,8,5,2,4,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,1,2,3,5,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [8,1,2,3,5,6,4,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [8,1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [7,1,8,4,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [6,8,2,4,3,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [6,7,2,4,3,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [3,8,1,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,7,1,8,6,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [1,6,4,3,7,5,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [3,1,2,6,7,5,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [3,8,1,7,6,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [7,6,2,4,3,1,5,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [8,7,2,4,3,5,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [8,1,7,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,1,7,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [1,5,7,3,4,6,8,2]=>[[1,2,4,6,8],[3,7],[5]]=>5 [8,7,2,5,3,6,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [7,1,2,3,5,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [6,1,2,3,5,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [6,1,2,3,5,7,4,8]=>[[1,2,3,4,7,8],[5],[6]]=>6 [5,1,2,3,7,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [5,1,2,3,8,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,5,6,3,4,7,8,2]=>[[1,2,4,7,8],[3,6],[5]]=>6 [8,6,5,2,4,7,1,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [7,6,2,5,3,1,8,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [7,4,5,2,3,8,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [8,2,3,7,4,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [8,4,7,3,2,5,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [5,4,6,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [4,6,2,3,1,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [7,2,3,4,5,8,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>6 [8,2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [7,3,4,6,8,5,1,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [4,7,3,2,8,6,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [3,7,4,5,1,8,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [3,8,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [4,8,1,5,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [5,8,2,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [6,8,1,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [5,8,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [2,1,7,6,8,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [3,7,6,1,8,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [4,7,2,3,8,5,1,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [7,1,3,6,4,8,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,6,1,4,8,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [6,2,3,7,8,5,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [6,2,3,8,4,5,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [7,2,3,6,8,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [8,2,3,5,7,1,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [6,4,8,3,5,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [5,4,8,3,6,7,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [3,5,1,8,4,6,7,2]=>[[1,2,6,7],[3,4,8],[5]]=>5 [3,6,1,8,4,5,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [4,6,8,3,5,2,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [5,7,8,3,2,4,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [4,8,2,3,5,6,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [6,8,2,3,1,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [5,2,7,4,8,3,1,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [3,7,8,2,1,4,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [3,7,5,2,8,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [6,3,2,4,1,8,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [7,2,3,4,8,5,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [5,7,3,1,4,2,6,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,7,4,1,8,2,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [6,3,7,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [8,3,7,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [3,7,4,1,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [1,8,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [8,4,1,6,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [8,7,4,2,1,6,3,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,3,5,2,7,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [1,5,3,8,7,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [7,2,4,8,1,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [1,2,8,7,5,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [3,1,8,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [1,4,8,6,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,6,5,4,8,2,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [5,1,6,8,3,4,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [6,2,5,1,7,4,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [5,2,1,8,7,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [5,2,6,3,8,1,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [5,2,8,3,4,6,1,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [6,2,8,4,3,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [7,2,8,1,3,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,3,8,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [1,7,8,5,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [1,5,8,4,6,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,3,8,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [5,8,4,3,6,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [1,8,3,6,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,8,2,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [3,8,1,4,6,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [3,8,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [4,3,8,2,5,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [8,2,4,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,2,1,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [8,1,3,4,5,7,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [6,1,5,2,4,7,8,3]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [4,1,8,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [4,1,8,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [5,3,8,7,2,1,4,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [6,7,3,5,1,4,8,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,4,7,5,8,2,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [5,7,8,4,2,6,3,1]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,7,4,1,6,8,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,8,4,6,1,7,3,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,6,1,4,7,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,3,6,7,4,8,2,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [7,4,8,5,6,2,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [5,6,3,8,4,7,2,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,6,3,8,2,7,4,1]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [4,3,7,2,8,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [6,7,3,8,5,2,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,2,7,5,1,4,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [3,5,7,8,4,6,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,7,8,4,6,2,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [2,5,8,4,3,7,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [3,7,4,8,6,2,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [3,6,4,8,7,2,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [4,5,7,3,8,6,2,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,5,6,8,4,7,2,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [6,3,1,8,7,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [5,4,8,1,7,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [8,5,4,1,7,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [1,8,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [7,2,8,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [1,3,7,5,6,2,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,6,7,4,3,5,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,8,5,2,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,8,2,5,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [2,6,8,4,3,5,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [7,5,8,3,2,1,6,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [7,2,8,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [7,5,8,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [1,6,7,4,3,2,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,5,2,6,4,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [1,5,4,6,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [6,2,5,7,1,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [6,5,4,3,8,1,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [7,3,6,8,5,2,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [2,7,8,3,6,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [2,7,8,5,4,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [2,6,5,8,3,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [2,6,5,7,3,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [6,2,5,7,4,1,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [6,2,5,8,4,1,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [2,7,8,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [6,1,2,8,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [6,1,2,8,5,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [6,2,5,7,8,1,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [1,5,4,2,6,7,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [2,6,5,7,3,8,1,4]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [1,6,2,7,5,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [1,3,2,7,8,5,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>5 [1,6,2,4,8,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [6,5,2,1,8,7,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [2,6,5,3,7,8,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [6,2,5,3,8,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [6,5,2,3,8,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [5,4,1,2,3,8,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [5,1,4,2,3,7,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,5,4,2,6,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [5,1,6,3,8,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [9,8,7,6,5,4,3,1,2,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>3 [1,8,7,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [1,9,8,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>3 [1,10,9,8,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>3 [2,1,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>2 [1,2,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>3 [3,2,1,9,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8],[9]]=>2 [1,2,3,9,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>4 [4,3,2,1,9,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>2 [1,2,3,4,9,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>5 [1,2,3,4,5,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>6 [1,2,3,5,4,7,6,9,8]=>[[1,2,3,4,6,8],[5,7,9]]=>6 [1,2,3,4,5,7,6,9,8]=>[[1,2,3,4,5,6,8],[7,9]]=>7 [1,2,10,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>3 [3,2,1,10,9,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>2 [1,2,3,10,9,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>4 [1,2,3,4,10,9,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>5 [1,3,2,6,5,4,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>4 [1,2,3,4,5,6,10,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>7 [1,2,3,4,5,6,7,10,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [5,2,7,4,1,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>4 [4,7,3,1,5,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>5 [5,8,3,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [1,7,8,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [1,5,8,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [1,6,3,8,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [6,2,3,7,5,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>5 [1,7,3,4,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [8,7,3,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [8,7,6,3,1,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,5,1,7,2,3,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [7,1,9,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7,9]]=>7 [2,4,8,5,3,7,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,4,1,8,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,4,8,6,3,1,7,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [3,4,6,8,2,1,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,4,1,5,8,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [8,1,4,5,3,2,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [3,4,1,5,2,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,4,6,2,1,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,5,6,2,1,7,8,4]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,4,6,2,7,8,1,5]=>[[1,4,5,7,8],[2,6],[3]]=>5 [8,1,4,6,3,7,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,1,4,6,3,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [3,5,6,2,1,7,4,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [8,1,5,6,7,3,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,1,5,6,7,3,2,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [3,4,1,6,8,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [3,5,6,1,8,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,1,3,8,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [8,1,3,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [2,3,8,6,7,1,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,4,1,8,6,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,5,8,6,1,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [3,5,6,1,8,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [3,4,1,6,8,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [3,4,6,8,7,1,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [8,1,4,6,2,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [3,5,1,6,7,8,4,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [4,5,6,1,7,8,3,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [4,5,6,1,7,3,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,5,1,6,7,4,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [8,1,5,6,7,4,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,1,5,6,7,4,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [3,5,1,6,7,4,2,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [4,5,6,1,7,3,2,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [6,5,8,7,4,3,1,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [6,4,2,7,8,5,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,1,4,8,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [1,6,4,8,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [1,8,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,1,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,6,2,1,4,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [6,4,1,7,8,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [7,6,1,2,4,8,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,6,1,3,4,8,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [8,1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,8,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,7,2,5,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,1,2,5,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [2,7,1,5,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [2,8,6,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [2,8,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [7,2,1,5,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [1,2,7,5,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [3,2,7,5,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [2,5,8,4,7,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [2,3,7,5,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [6,8,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [3,7,2,5,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [3,1,7,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [1,3,7,5,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,5,8,4,7,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [5,1,8,4,7,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [5,8,2,4,7,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [6,8,4,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [8,7,5,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [8,5,2,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [8,1,5,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,8,5,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,7,3,5,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [8,6,3,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [8,6,4,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [8,6,4,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [5,3,7,4,6,8,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [4,1,3,2,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [1,4,3,2,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [2,4,3,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [2,7,3,5,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [2,8,5,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [5,7,3,4,6,8,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [8,2,5,4,7,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [7,2,3,5,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [3,2,1,4,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [8,1,7,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [8,6,4,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [7,1,8,6,4,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [7,4,2,5,1,6,3,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [7,3,6,5,2,1,4,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [8,3,6,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [7,3,6,5,2,1,8,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [7,5,8,6,4,2,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [5,4,2,8,1,3,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [5,8,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [6,4,2,5,1,8,3,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [6,3,5,2,1,4,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [2,5,8,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [2,3,5,8,1,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,3,6,8,1,5,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [6,3,8,5,2,7,1,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,3,7,5,2,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [2,5,7,6,3,1,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [2,8,7,6,3,1,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [2,5,8,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [2,4,8,1,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,8,7,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [7,3,5,2,1,4,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [8,4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [2,3,6,8,1,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,7,8,6,3,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [7,3,8,5,2,1,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [2,3,6,1,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [2,8,6,3,1,4,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [8,3,5,2,1,4,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [2,4,8,1,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,5,8,1,7,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [3,8,6,1,4,7,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [2,7,1,5,8,3,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [3,7,5,8,1,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [7,3,6,1,2,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [7,4,8,1,6,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,4,5,8,6,1,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [5,1,8,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [4,6,1,8,7,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [4,5,1,8,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [3,4,8,7,1,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [6,4,8,7,1,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [6,5,1,2,7,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,5,1,8,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [6,5,1,8,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [6,5,1,7,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,5,1,7,2,3,8,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [5,6,8,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [6,8,5,7,4,1,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [7,3,8,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [4,1,7,5,3,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [1,8,4,2,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [2,5,8,3,4,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>5 [4,1,7,2,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [4,6,2,1,5,7,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,5,2,3,1,7,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [3,2,6,7,4,1,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [5,6,2,7,1,4,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [6,2,3,8,1,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [2,6,8,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [4,6,2,7,5,1,3,8]=>[[1,3,7,8],[2,5],[4,6]]=>5 [2,6,3,1,8,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [2,4,3,7,8,1,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [5,3,2,7,4,8,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,1,2,7,6,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [2,6,3,1,8,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [3,5,6,4,7,8,1,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [5,3,6,4,2,8,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,4,2,3,7,8,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [4,1,8,2,5,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [6,2,3,8,4,1,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [2,6,4,1,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [6,2,1,4,7,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [4,2,3,7,8,1,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,8,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [5,1,7,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>5 [6,8,3,2,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,8,4,3,1,5,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,8,4,2,1,5,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [5,1,7,3,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,2,1,8,3,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [4,3,8,1,6,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [4,2,1,8,5,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [6,3,2,1,7,4,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [6,4,2,1,7,5,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [7,5,2,1,8,6,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [5,3,2,7,6,1,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,3,2,8,6,1,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [6,3,2,8,7,1,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [4,2,8,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,3,8,7,2,1,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [2,1,5,8,4,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [5,4,1,7,2,8,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [6,5,3,1,7,8,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,4,2,1,7,8,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [5,3,2,1,6,7,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [8,6,1,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [5,2,8,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [6,2,8,5,4,7,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [1,8,6,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [6,5,3,8,4,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [6,2,8,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [6,4,3,7,1,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,4,3,8,1,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [7,6,3,8,4,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [7,5,3,8,4,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [6,4,2,7,3,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [5,4,1,6,3,8,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [6,5,1,7,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,3,1,7,8,4,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [6,1,5,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [8,7,6,1,3,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,1,6,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [8,4,1,5,7,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [7,8,6,2,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [6,1,3,5,2,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [8,1,3,7,4,2,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [4,3,8,7,5,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [6,7,1,8,5,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [2,7,6,4,8,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [6,5,2,7,1,4,8,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [7,4,6,1,3,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [7,5,2,1,3,8,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [8,4,7,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [7,4,1,5,6,3,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [3,4,7,5,6,1,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [2,4,7,5,6,3,8,1]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [5,4,1,7,6,2,8,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [3,5,6,7,1,4,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [2,7,6,1,3,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [5,7,2,1,6,3,8,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [4,7,2,5,6,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [8,6,2,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [2,7,4,5,3,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [6,8,7,1,3,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [2,8,6,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [5,8,4,3,2,6,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [1,8,5,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,1,5,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [6,4,8,1,3,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [1,4,5,2,8,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [2,3,1,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [3,5,7,6,2,8,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [4,5,6,1,2,8,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,4,1,2,8,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [8,4,5,2,1,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [3,1,2,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [5,1,3,2,7,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,5,4,2,7,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [4,6,7,8,3,1,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [7,6,2,8,4,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [5,2,8,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [5,6,8,4,3,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,3,8,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [3,6,7,8,4,2,1,5]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [6,5,1,8,4,3,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [6,3,8,4,2,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [2,5,8,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [3,5,8,1,2,6,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [3,2,8,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [1,5,8,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,3,8,6,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [3,2,7,8,4,6,1,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [5,1,8,3,4,6,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>5 [4,8,7,2,1,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,8,1,6,3,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [8,3,4,2,1,6,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [6,4,7,2,5,8,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [8,4,5,2,6,3,1,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [2,4,5,8,3,6,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,5,8,1,2,6,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [8,6,1,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [8,5,1,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [5,8,6,1,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [5,8,4,6,1,3,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [7,3,4,5,2,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [5,7,4,3,6,1,8,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [2,6,4,3,7,8,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [7,4,1,8,3,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [6,2,1,7,8,4,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [7,6,3,1,5,4,8,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [2,4,6,5,1,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [1,4,7,5,6,8,2,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [1,4,7,6,5,8,2,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [3,7,5,2,4,6,8,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [5,6,1,7,4,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [3,7,4,8,1,2,6,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [6,3,5,7,8,1,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [3,6,5,7,1,8,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [6,4,7,8,2,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,7,3,8,4,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [2,7,8,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [7,5,8,4,1,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [4,7,5,8,3,1,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [3,6,7,4,8,1,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [5,7,3,1,6,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [2,7,3,1,8,6,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [2,8,4,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,8,1,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [7,6,8,1,2,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,6,8,5,1,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [2,8,5,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [8,4,5,2,7,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [8,7,6,4,1,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [6,7,1,3,5,2,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [5,7,2,3,6,8,1,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [8,5,3,2,7,6,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [3,4,6,7,5,8,1,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [3,4,5,7,6,1,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [2,6,4,5,7,8,3,1]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [3,8,5,1,6,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,5,1,3,6,8,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [5,4,6,1,3,7,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [6,3,5,7,1,4,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [7,3,4,6,8,1,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [3,7,8,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [6,7,2,5,1,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [3,6,1,2,5,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,4,5,8,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,2,6,4,5,8,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [1,5,2,4,6,8,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [3,6,1,5,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [2,6,5,1,4,8,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [5,2,6,1,4,8,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [2,5,1,8,4,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [2,7,1,4,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [1,3,7,5,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [8,2,1,5,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,5,4,8,1,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [2,4,1,3,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [8,4,3,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [1,7,3,5,8,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [1,8,4,2,6,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [3,1,6,8,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [7,2,1,6,8,3,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [3,1,7,6,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [4,1,7,2,6,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [5,1,7,2,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [7,2,1,6,3,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,6,1,7,3,5,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [7,1,2,5,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [5,4,1,2,7,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [8,1,3,2,4,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [7,3,1,2,4,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,8,3,4,7,2,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,5,8,1,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [3,6,8,1,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [4,1,3,8,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [1,3,7,4,8,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [1,4,6,8,2,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [3,5,8,1,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [2,6,8,1,7,3,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [6,1,5,8,2,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [1,8,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,1,7,2,8,5,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>5 [2,6,7,3,8,1,5,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [8,4,1,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [3,7,2,8,6,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [6,2,3,8,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [5,1,7,8,4,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [5,1,8,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [4,7,2,8,3,6,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [4,1,7,8,5,3,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [5,1,7,4,8,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [4,1,8,7,5,3,6,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [4,8,2,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [4,7,2,6,3,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [6,8,2,4,3,7,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [6,7,2,4,3,8,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,8,2,7,3,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [3,8,7,2,4,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [3,7,8,2,4,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,6,8,2,4,5,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,6,7,2,4,5,8,1]=>[[1,4,5,8],[2,6,7],[3]]=>5 [6,5,1,4,2,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [8,6,1,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [8,7,6,1,2,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [5,4,3,1,6,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [8,3,4,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [6,3,4,1,8,5,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>5 [3,8,5,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [2,8,6,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [2,1,8,7,3,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [3,6,5,8,2,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [5,2,1,8,7,3,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [6,5,2,7,4,3,8,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [4,6,5,2,7,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [6,2,7,1,8,3,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [2,7,5,4,8,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [8,7,5,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,4,3,2,7,1,6,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [7,1,6,2,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [4,8,1,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [3,8,1,4,7,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [6,3,8,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [6,1,4,8,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [8,5,7,4,6,2,1,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [4,6,7,8,2,3,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [8,7,4,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [7,6,1,3,5,2,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [5,8,3,2,4,6,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [8,2,6,5,3,1,7,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [4,8,7,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [2,1,8,6,4,3,7,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [2,1,7,6,5,3,8,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [2,7,6,1,3,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [7,2,5,4,6,1,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [4,7,6,1,2,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [2,4,1,7,6,8,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [3,4,1,7,8,5,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>6 [7,5,4,3,1,8,6,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [8,5,6,2,7,3,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [8,4,2,5,6,1,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [6,3,5,4,1,7,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [4,1,3,6,7,5,8,2]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,7,2,4,5,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,7,4,5,8,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [2,6,4,7,8,3,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [1,2,6,4,7,8,3,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [6,1,4,7,8,3,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [3,6,4,7,8,1,5,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [4,3,6,7,1,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [3,6,4,7,8,1,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [4,7,2,1,5,3,8,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [1,3,6,4,7,2,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>6 [3,6,4,7,2,8,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [5,1,3,4,2,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,4,2,1,3,7,8,6]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [1,6,7,3,8,2,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [6,1,4,7,8,5,2,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [6,3,2,1,7,8,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [8,6,5,1,3,2,4,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [6,4,7,8,3,2,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [3,8,4,7,1,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [8,6,1,2,5,4,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [4,8,6,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [5,8,6,4,1,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [8,3,6,4,5,2,1,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [6,8,5,7,4,2,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [2,3,8,7,1,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [4,3,7,8,1,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [3,5,8,7,4,1,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [7,3,8,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [4,8,1,2,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [6,8,1,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [5,6,8,4,1,3,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [8,5,4,7,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [2,5,8,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [2,4,8,7,5,6,1,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [3,7,4,8,5,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [6,4,8,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [3,8,5,2,4,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [5,7,1,8,4,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [6,3,8,7,2,1,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [2,3,7,8,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [3,7,6,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [2,6,7,8,5,1,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [2,4,7,8,1,6,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [5,4,7,8,2,6,3,1]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [2,8,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [6,8,3,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [6,8,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [5,8,3,2,7,6,1,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [2,5,3,1,8,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [4,5,3,2,8,6,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,5,8,6,1,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [2,8,5,6,1,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [4,8,6,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [5,8,2,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [4,6,8,5,3,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [2,6,4,8,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [7,6,4,8,5,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [3,4,8,6,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [3,4,8,7,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [7,5,3,2,8,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [2,5,1,3,8,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [4,5,1,2,8,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,4,8,1,3,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [8,3,5,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [7,3,4,8,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [6,1,5,7,2,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [7,4,5,1,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [7,4,3,1,2,8,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [8,4,7,6,2,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [8,4,6,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [7,2,1,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [7,4,1,6,3,5,8,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [3,5,7,6,4,1,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [4,7,5,2,1,3,8,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [5,7,2,3,6,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [8,6,2,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [5,7,2,4,8,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [1,7,2,4,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,6,1,5,4,8,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [4,7,3,2,1,8,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [3,1,7,2,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [4,8,7,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [7,8,6,1,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [2,8,6,7,4,1,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [5,8,6,4,2,3,1,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [2,8,3,1,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [3,8,1,2,5,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [6,8,5,4,2,7,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [6,8,3,1,2,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [4,6,8,7,3,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [6,5,3,7,8,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [4,1,3,8,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [6,2,7,4,8,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [8,4,5,2,1,6,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,3,2,6,8,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [7,1,5,6,3,8,2,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [5,1,2,4,7,8,3,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [3,5,4,2,8,1,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [5,1,3,8,4,2,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [6,2,8,7,3,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [7,1,8,4,3,6,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [3,6,8,7,4,1,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [5,6,8,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [3,1,6,8,7,4,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [7,4,6,8,2,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [6,5,8,4,3,1,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [2,5,8,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [8,5,1,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,5,8,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [3,8,2,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [5,8,2,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [6,8,2,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,5,1,8,4,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [3,6,8,5,2,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [2,1,6,5,4,8,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [2,1,7,8,4,6,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [2,1,7,4,3,5,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [3,5,7,8,4,6,1,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [7,5,2,8,4,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,6,3,8,1,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [8,4,3,1,7,5,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [7,3,1,4,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [4,3,8,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [5,2,4,3,6,8,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [4,7,5,6,3,8,2,1]=>[[1,5,6,8],[2],[3],[4],[7]]=>4 [4,2,7,5,8,3,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [5,8,2,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [6,3,2,1,4,8,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [6,2,3,1,4,7,8,5]=>[[1,3,4,5,8],[2,7],[6]]=>6 [5,2,1,3,6,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [7,1,8,3,5,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,1,2,4,8,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [7,2,1,3,4,5,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [8,7,3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [8,4,6,5,3,2,1,7]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [5,1,6,4,3,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [8,3,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [2,8,3,6,4,7,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [6,2,1,7,5,8,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [6,3,8,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [6,7,2,1,5,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [9,1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>2 [7,6,8,1,5,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [3,1,9,8,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>3 [10,1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>2 [7,6,1,8,5,4,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [6,5,8,1,7,4,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [6,5,8,7,4,1,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [3,1,10,9,8,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>3 [1,6,4,8,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,8,3,5,6,2,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [1,4,8,5,6,2,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,2,8,5,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [6,1,4,8,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [8,7,2,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [1,8,2,5,4,7,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [5,7,4,1,2,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [1,7,4,2,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [6,7,4,2,1,3,8,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,4,3,8,5,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [7,4,3,6,2,1,5,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [7,2,5,3,4,1,6,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [8,3,7,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [2,7,4,3,1,5,6,8]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [6,8,4,2,3,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [3,7,5,2,4,1,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [7,1,3,2,8,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [2,1,7,4,8,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [5,2,8,6,1,3,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>5 [2,8,3,1,4,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [7,4,8,2,3,1,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [4,2,7,3,1,5,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>5 [8,3,7,2,1,4,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [6,5,2,4,7,1,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [6,5,7,4,1,8,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [7,6,4,5,1,8,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [8,6,4,1,3,7,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [6,4,3,1,8,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [7,4,1,2,8,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [4,8,1,3,5,7,2,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [7,8,4,1,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [6,5,8,1,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [5,3,6,1,8,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [4,7,3,1,8,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [8,3,1,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [2,8,1,4,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [3,1,8,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [4,1,5,8,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [4,1,5,3,8,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [4,5,1,8,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [4,8,5,3,1,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [4,5,2,8,1,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [4,5,2,1,8,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [5,6,2,7,8,1,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [4,6,2,8,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [4,8,6,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,8,6,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,6,8,2,7,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [4,6,2,8,7,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [5,6,2,7,4,1,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,6,7,2,3,1,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,6,7,2,8,3,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,6,7,2,1,8,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,6,7,2,1,3,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,6,1,7,8,2,4,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,6,1,7,2,4,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,1,6,7,8,3,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>6 [4,1,6,8,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [3,1,8,6,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [4,1,6,8,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [5,1,6,7,4,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,6,1,7,8,4,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [4,6,8,1,7,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [4,8,6,1,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [5,6,7,1,8,3,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,7,1,3,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,7,1,3,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,7,3,1,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,7,3,8,1,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,8,7,4,2,1,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [5,6,7,3,8,2,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [7,4,6,2,3,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [1,4,8,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [7,4,1,6,3,8,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [7,6,3,1,5,8,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [6,4,2,5,7,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,2,5,7,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [7,4,5,6,1,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [4,1,5,8,6,3,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [3,2,7,6,1,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [4,7,5,1,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [8,6,5,1,2,7,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [3,2,5,1,4,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [8,5,4,1,3,2,7,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,4,2,3,6,8,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [5,4,8,3,7,1,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [4,7,1,8,2,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [6,4,1,8,5,3,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [8,4,6,1,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [3,2,5,4,7,8,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [5,2,4,3,7,8,1,6]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [8,1,6,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [3,1,7,6,5,8,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [1,2,7,5,6,8,3,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [6,1,4,7,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [3,2,1,7,6,8,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [3,2,8,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [7,8,4,6,3,2,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [1,8,6,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [8,2,5,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [3,8,5,2,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [4,7,5,3,1,8,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [4,5,3,6,8,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [3,5,2,6,1,8,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [1,6,3,5,7,2,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,5,4,6,7,8,2,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [8,4,6,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [7,4,5,2,6,8,1,3]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [5,4,2,6,8,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [6,5,1,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [3,6,4,5,2,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [7,5,4,2,3,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,8,1,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [1,7,8,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [3,1,7,8,5,2,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [1,3,7,5,8,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [3,5,7,1,8,4,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [3,5,7,8,1,4,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [5,3,7,8,4,6,1,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [5,3,7,1,8,4,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [5,1,3,7,8,4,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [3,6,2,1,4,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [4,6,2,5,1,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [6,4,2,5,1,3,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [8,6,1,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [2,5,8,1,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [6,8,2,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [6,8,2,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [8,6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [5,2,8,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [4,2,3,8,1,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [5,2,8,3,7,1,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [5,2,8,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [2,1,5,8,4,3,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [5,8,3,2,7,1,4,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [4,1,3,8,2,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [3,5,8,2,7,1,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [4,5,8,2,6,1,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [2,6,8,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [5,1,8,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [5,1,8,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [5,8,4,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [4,5,8,1,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,4,8,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [4,8,5,1,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [2,1,5,4,8,3,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,4,3,8,1,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,1,8,4,2,5,6,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [3,8,4,2,1,5,6,7]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [2,3,8,4,1,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [3,4,2,8,1,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,8,5,2,7,1,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [4,8,5,2,6,1,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [2,1,4,8,5,3,6,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [3,2,8,4,1,5,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [2,8,4,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [4,1,7,5,6,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [5,7,4,3,8,1,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,7,4,3,8,2,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,8,4,2,6,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,8,4,1,6,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [6,1,7,5,2,8,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [5,6,4,3,2,8,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [2,6,7,5,3,8,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [6,7,4,8,2,5,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [2,1,6,7,5,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [3,8,4,2,1,6,7,5]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [5,7,4,3,8,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [6,7,4,8,1,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [6,7,5,8,1,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [6,7,4,8,3,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [3,4,8,1,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [6,1,3,4,8,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [6,2,3,4,8,1,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [3,4,8,2,1,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [6,7,5,8,2,4,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [6,7,5,8,3,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [3,4,8,1,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [2,5,7,6,1,4,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [6,7,4,8,2,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,7,4,8,1,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [2,6,7,5,1,3,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [6,3,1,4,8,2,5,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [6,7,4,8,1,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,7,5,8,4,1,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [6,7,4,8,2,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,7,4,8,1,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [1,5,6,3,4,8,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [1,4,3,6,5,8,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [8,1,3,4,7,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [5,1,7,3,4,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [6,7,8,2,3,5,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [5,8,6,2,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [2,8,3,4,7,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [1,8,3,4,7,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>3 [3,8,1,7,5,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [4,8,1,6,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [2,1,3,8,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [8,2,1,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [1,3,2,8,5,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [8,3,1,5,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,4,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [1,5,6,8,7,4,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,4,5,7,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>3 [1,4,8,5,7,6,2,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [2,4,8,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,3,8,6,5,7,2,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [6,7,2,8,5,3,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [5,2,7,8,6,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [4,2,8,6,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [3,2,8,7,5,4,6,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,1,8,7,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [4,1,8,6,7,5,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [5,1,7,8,6,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,7,1,8,5,4,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [7,8,3,2,6,1,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,8,1,4,5,6,3,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,8,4,5,1,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [6,2,4,8,1,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [3,4,8,5,1,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [1,4,8,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [5,3,8,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [7,4,2,8,1,5,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [6,1,7,5,8,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [6,2,1,8,4,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [1,2,7,8,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [3,1,8,4,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [2,1,4,8,6,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [3,2,7,8,5,1,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [2,3,7,8,5,1,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [3,6,2,8,5,1,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [4,1,2,8,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,4,2,8,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [7,2,1,8,5,3,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>5 [7,1,6,5,8,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [6,5,7,1,8,4,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [5,7,6,1,8,4,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [6,7,3,8,5,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [7,1,2,8,4,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [7,6,1,5,8,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [7,1,6,5,3,2,4,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [1,8,7,5,3,2,4,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [1,8,7,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,7,4,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [7,1,6,4,2,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [2,6,5,4,7,1,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [7,1,5,3,6,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [5,3,7,1,6,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,3,6,4,2,7,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [1,5,3,8,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [7,4,2,8,6,3,5,1]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [5,3,6,1,8,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [6,1,5,3,8,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [2,8,7,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [2,3,1,8,7,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [5,3,8,7,4,2,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [7,4,2,1,8,6,3,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [8,6,3,5,7,4,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [1,8,6,3,5,7,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [6,3,8,5,2,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [8,6,3,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [2,8,6,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [5,1,8,6,3,7,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [6,3,7,4,1,8,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [8,5,2,6,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [6,1,8,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [8,6,3,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [1,8,6,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [8,6,3,2,4,7,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [7,5,1,8,6,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [6,1,8,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [4,3,2,8,7,6,1,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [2,4,5,1,3,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [7,5,8,6,3,2,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [1,7,5,8,6,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [1,7,4,2,5,8,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [8,6,3,1,7,4,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [8,7,4,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [5,3,1,8,7,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [4,1,8,7,5,3,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [2,8,6,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [4,1,8,6,3,2,7,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [7,4,2,8,6,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [6,3,1,8,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [8,5,2,6,3,1,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [7,4,8,5,2,6,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [1,8,5,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [8,5,2,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [7,4,6,3,1,8,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [6,3,1,7,4,8,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [8,6,3,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [4,1,7,5,8,6,3,2]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [2,3,1,7,5,8,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>5 [7,4,8,5,2,1,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [8,5,2,1,7,4,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [1,7,4,6,3,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [4,1,8,5,7,3,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [5,1,7,4,8,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [4,6,2,7,3,1,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [6,2,8,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [6,3,4,8,1,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [1,8,5,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [3,5,4,8,1,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [5,6,3,8,7,1,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [2,6,8,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [1,8,7,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [5,2,8,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [6,2,8,7,5,1,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [1,8,5,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [3,6,7,8,5,1,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [1,8,6,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,3,8,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [2,8,7,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [5,4,8,7,1,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [4,8,6,1,3,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [5,4,2,7,6,8,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [2,8,7,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [4,2,1,8,7,3,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [5,1,6,3,2,8,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [4,6,1,8,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [8,7,2,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [5,3,1,4,8,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [4,3,5,2,8,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [3,4,2,8,6,1,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,7,6,8,1,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [8,1,4,2,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [3,7,2,1,8,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [2,8,6,1,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [1,7,6,3,5,8,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [3,7,5,1,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [3,6,5,8,1,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [8,1,5,6,4,7,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [3,6,7,4,1,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [1,7,4,6,8,2,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [7,5,8,2,6,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [2,7,1,6,5,4,8,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [7,3,2,6,1,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [6,4,7,2,3,1,8,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [5,3,1,8,4,6,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [3,8,1,6,7,4,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [2,7,4,3,6,8,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [2,8,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [8,4,1,6,3,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,7,3,8,5,2,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [3,1,7,4,8,5,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [7,4,1,6,3,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [3,8,6,2,7,4,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [7,3,1,4,5,2,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [6,1,4,8,5,3,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [8,1,2,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [8,1,3,6,7,5,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [7,5,2,3,8,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [8,6,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [4,7,5,1,8,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [4,7,3,2,8,5,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [8,4,5,7,6,1,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [7,5,8,4,2,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [3,8,4,6,1,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [3,7,4,6,5,2,8,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [4,2,7,6,1,5,8,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [8,3,1,4,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [3,5,1,6,8,4,7,2]=>[[1,2,6,7],[3,4,8],[5]]=>5 [6,1,5,7,3,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [5,8,4,7,3,2,6,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [7,2,6,5,8,4,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [8,3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [2,6,8,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [8,1,5,6,4,7,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [2,5,8,1,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [7,4,1,8,3,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,3,7,4,2,1,6,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [5,2,6,8,3,1,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [3,6,5,8,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [7,3,6,1,8,4,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [8,2,7,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [7,3,8,2,5,6,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [5,7,3,1,6,4,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [6,1,3,2,4,8,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [8,7,4,2,3,6,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,7,1,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [3,7,1,5,2,8,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [8,7,2,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,7,2,5,3,1,4,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [5,2,8,7,1,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [7,1,8,6,2,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [8,1,6,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [7,1,6,2,8,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [6,3,4,1,7,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [7,2,4,3,5,1,8,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [5,1,7,2,3,8,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [8,2,3,5,1,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [7,6,3,1,4,8,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [6,1,8,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [7,2,8,1,6,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,2,6,4,3,8,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [5,1,7,4,3,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [5,3,1,7,4,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>5 [7,4,8,2,1,5,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [8,2,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [8,2,7,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [6,1,7,3,2,8,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [4,7,2,1,6,3,8,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [6,2,1,5,3,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [5,3,1,6,2,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [6,1,5,2,8,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [7,4,3,8,1,5,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [7,4,8,1,5,3,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [6,1,5,3,2,8,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [6,3,2,8,4,1,5,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [7,3,4,2,8,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,1,6,3,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [8,5,1,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [3,8,6,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [8,6,1,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [4,8,5,6,1,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [6,7,1,3,8,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [3,6,7,1,5,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [7,1,3,8,4,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [5,6,2,7,1,3,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,6,2,8,1,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [6,1,8,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [7,4,2,1,5,8,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [7,4,1,5,8,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [7,3,2,6,4,8,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [6,4,2,7,3,8,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [5,1,8,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [7,4,8,3,1,5,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [5,2,1,7,4,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [6,1,8,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [7,1,6,4,5,2,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [3,5,2,7,1,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [4,5,7,3,1,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,5,7,2,8,6,1,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [3,5,1,7,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [4,5,7,2,8,1,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,6,7,2,1,5,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,6,7,1,3,8,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>5 [3,6,1,5,7,8,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [4,6,7,1,5,8,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [6,1,3,7,4,8,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>6 [3,2,1,7,4,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [4,1,5,2,7,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6 [2,5,1,3,7,6,4,8]=>[[1,3,4,8],[2,5,6],[7]]=>5 [2,5,1,4,3,8,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [3,7,2,1,5,8,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [6,2,7,1,4,8,5,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [3,7,4,2,1,8,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,2,5,3,1,8,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,5,1,4,2,8,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,5,4,1,3,8,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [5,3,2,1,7,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [6,3,2,8,1,5,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [7,4,3,2,8,1,6,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [7,6,2,4,8,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [7,3,6,4,8,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [2,7,5,3,8,1,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [1,8,5,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,6,2,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [8,3,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [7,2,6,1,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [8,5,7,4,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [8,5,7,2,4,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [8,4,6,7,1,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [2,8,5,6,1,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [7,2,6,8,4,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,6,4,8,3,2,5,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [6,5,8,1,4,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,5,8,4,1,3,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [5,4,8,3,2,1,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [4,3,7,2,1,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [2,5,8,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [3,6,8,2,1,5,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [5,7,4,8,1,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [5,7,1,4,8,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [2,7,4,1,8,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [3,5,1,8,4,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [4,1,5,7,3,6,2,8]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,2,5,8,3,1,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [6,1,2,7,8,3,5,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [5,3,1,8,6,4,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [3,1,8,4,7,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [4,2,8,7,3,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,8,1,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [6,8,1,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [7,3,8,1,6,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [4,7,8,1,5,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [7,1,8,6,2,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [5,8,7,1,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [3,8,7,2,1,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [2,8,7,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [3,7,6,1,5,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [4,8,7,6,1,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [5,8,7,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [6,8,1,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [7,3,8,6,5,1,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [5,7,8,4,3,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [5,8,6,4,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5],[8]]=>3 [8,7,3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7],[8]]=>3 [5,2,6,3,4,7,1,8]=>[[1,3,4,7,8],[2,6],[5]]=>6 [3,4,7,5,8,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [2,4,7,1,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [4,7,6,5,2,1,8,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [5,3,6,2,4,1,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,6,1,4,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [1,7,4,2,6,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [4,7,6,3,8,5,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [2,7,1,6,8,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [9,1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [10,1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [9,2,1,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>2 [5,2,8,7,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [8,2,7,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [9,2,8,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>2 [8,4,1,7,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [9,3,1,8,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>3 [10,2,1,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>2 [4,5,6,2,3,8,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,5,3,2,7,8,1,6]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [6,5,7,3,8,4,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [6,8,7,2,4,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [3,2,7,4,5,8,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [6,8,1,5,2,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [8,3,4,6,1,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [2,3,4,7,5,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [6,3,4,7,8,2,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [5,3,7,4,8,6,1,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [8,3,6,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [1,3,7,4,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [3,7,8,5,4,1,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [5,4,3,1,7,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [5,7,6,2,8,4,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [6,1,7,5,8,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [7,5,6,4,1,3,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [1,5,6,8,4,7,3,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [4,1,3,7,6,5,8,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [3,4,1,7,5,8,6,2]=>[[1,2,5,6],[3,4,8],[7]]=>6 [8,5,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [6,8,5,1,7,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [8,2,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [7,8,3,6,2,1,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [8,1,7,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,8,7,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [2,8,3,1,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,3,1,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [3,8,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [5,4,7,2,3,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [6,3,2,1,8,4,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [2,3,7,4,1,8,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [6,4,1,3,2,7,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [2,7,8,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [8,2,5,6,7,1,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,8,5,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [6,7,1,5,8,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [4,8,7,6,2,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [7,8,1,5,3,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [6,5,7,3,8,2,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [8,1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [7,3,4,6,1,5,8,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [8,3,4,5,7,1,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [4,2,6,8,3,1,5,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [3,7,6,2,4,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [2,3,6,5,8,1,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,3,5,8,6,1,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [4,2,3,8,6,1,5,7]=>[[1,3,5,7],[2,6],[4,8]]=>4 [6,4,1,2,8,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [1,2,3,7,4,6,8,5]=>[[1,2,3,4,5,8],[6],[7]]=>6 [3,2,7,1,4,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [2,1,5,3,8,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [5,8,3,2,4,1,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,2,7,1,8,3,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [4,1,8,2,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,2,7,5,3,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [3,2,7,1,4,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [1,2,3,7,6,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,2,3,6,8,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,2,3,7,8,4,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,2,3,6,8,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,2,3,7,8,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [6,2,8,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [4,2,8,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [7,3,4,8,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [5,3,4,8,7,2,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [4,3,5,8,7,2,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,6,3,8,5,7,2,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [7,5,3,8,6,2,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [2,6,8,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [1,8,4,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [2,5,8,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [7,4,3,8,6,2,5,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [3,5,4,8,7,2,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [4,5,3,8,6,7,2,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,6,7,8,4,5,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [2,6,8,5,4,7,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [1,8,5,6,4,7,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [2,5,8,6,4,7,3,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [7,4,6,5,8,3,2,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [6,3,7,8,4,5,2,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [4,3,7,8,5,6,2,1]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [5,2,8,6,4,7,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [4,2,8,6,5,7,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [3,2,8,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [2,3,8,7,5,4,6,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [1,8,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [7,2,8,6,3,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [6,2,8,4,5,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [5,2,8,4,6,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [4,2,8,5,6,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,3,6,8,5,7,2,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [3,4,6,8,7,2,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [7,3,5,8,6,2,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [1,8,3,5,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [2,7,8,4,5,6,3,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [3,7,5,8,4,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [5,7,4,6,8,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,6,5,8,4,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [2,6,8,4,5,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [4,2,7,1,3,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [4,2,5,1,3,8,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [5,3,6,1,7,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [3,7,1,2,5,8,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>5 [3,7,4,1,2,8,5,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [7,5,1,3,4,8,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,5,1,2,4,8,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [6,4,2,3,7,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [7,6,3,8,1,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,4,2,3,8,1,6,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [4,7,5,2,8,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [8,2,6,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [8,6,1,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,4,7,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [8,5,7,1,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [8,5,7,1,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,6,2,7,1,3,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [3,8,5,6,1,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [3,7,5,8,1,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [7,6,4,8,1,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [6,5,8,1,2,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [3,6,8,1,2,5,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>4 [3,7,2,4,8,1,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [4,6,3,8,1,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,6,3,7,1,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,1,7,8,2,3,6,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [5,1,2,8,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [5,3,8,1,6,2,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [6,1,8,5,2,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [6,1,7,5,2,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [6,8,1,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,2,8,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [4,7,8,2,5,1,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [6,8,2,7,1,4,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [4,8,7,1,3,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [3,8,7,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [4,8,7,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [5,8,7,1,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [5,8,7,1,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [7,1,8,6,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [5,8,6,4,1,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [7,8,4,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [7,8,1,2,6,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,4,8,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [7,8,2,1,6,3,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [1,2,8,7,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [5,1,7,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [6,2,1,5,7,4,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [3,4,8,7,5,6,1,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [1,8,3,7,6,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [5,1,2,4,7,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [5,7,4,1,2,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>5 [4,8,1,2,6,7,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [3,1,2,4,6,8,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [4,8,2,1,6,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [3,8,6,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [3,7,8,5,2,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [2,8,7,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [2,8,6,7,5,1,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [5,1,3,4,6,7,2,8]=>[[1,2,4,6,7,8],[3],[5]]=>6 [1,3,4,8,7,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [8,2,4,1,7,3,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [8,6,1,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [3,6,1,4,2,8,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [1,6,8,4,3,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [3,1,4,7,8,5,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [6,1,7,4,3,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [1,8,7,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [7,4,1,3,8,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [4,8,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,8,6,2,1,3,7,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [2,7,4,1,8,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [1,7,8,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [4,7,1,3,8,2,6,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [8,7,1,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,7,4,3,6,2,8,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [3,8,6,4,5,2,1,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [3,8,4,6,5,2,1,7]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [2,4,3,7,5,8,1,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [1,4,7,3,6,2,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [1,8,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [6,4,1,3,7,2,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [8,1,4,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,2,3,8,5,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [2,8,5,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [5,8,2,6,4,3,1,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [7,2,5,8,4,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [4,2,3,5,8,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [8,2,3,5,4,7,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [6,1,8,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [1,8,6,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [3,8,4,5,6,2,1,7]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [2,4,3,5,7,8,1,6]=>[[1,3,5,6,8],[2,7],[4]]=>5 [3,8,6,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [6,3,1,4,2,8,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [7,3,8,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [7,1,4,5,3,2,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [1,8,4,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [5,1,4,8,6,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,3,1,8,4,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [4,3,8,1,5,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [6,3,1,2,5,7,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [7,1,4,2,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [3,8,4,1,6,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [7,3,6,4,5,8,2,1]=>[[1,4,5,8],[2],[3],[6],[7]]=>4 [8,7,2,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [7,1,5,4,8,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [2,1,8,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [5,8,3,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [5,7,1,4,8,6,3,2]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [3,5,7,4,8,6,2,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,7,4,8,6,2,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [7,5,8,4,1,6,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [2,7,8,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [5,7,3,8,4,1,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [5,6,3,8,1,4,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [3,7,8,4,1,6,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [8,7,3,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [3,6,2,1,5,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [5,4,2,6,1,3,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [3,2,6,5,1,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [2,5,8,1,7,4,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [6,8,2,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [6,8,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [7,6,2,5,4,8,1,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [2,6,5,1,8,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [4,2,7,3,1,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [4,2,3,7,1,5,8,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [5,2,7,3,8,6,1,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [2,1,5,8,4,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [5,8,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [3,2,4,8,1,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [2,4,8,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,8,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [4,1,3,7,2,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [3,4,8,2,1,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [6,8,3,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [3,5,8,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [5,1,7,4,6,8,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [7,6,4,8,1,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [5,3,7,1,8,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [2,7,6,3,8,1,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [2,1,7,6,4,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [2,1,5,4,8,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [5,4,8,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [2,4,3,8,7,1,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [3,4,1,8,6,2,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [3,8,5,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [4,8,6,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [3,2,8,7,5,4,1,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [2,8,6,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [7,3,6,5,2,8,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [8,7,5,3,1,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [7,1,5,3,8,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [2,1,8,7,4,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [3,8,7,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [8,5,2,6,1,7,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [5,4,2,6,8,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [6,5,2,8,1,4,3,7]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [2,7,8,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [3,4,8,1,5,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [4,8,1,2,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [8,1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4],[8]]=>6 [4,8,7,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [3,8,7,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [5,8,4,7,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>2 [6,8,5,4,7,3,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [4,8,7,6,3,2,5,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>2 [3,8,7,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [8,6,9,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>5 [8,6,9,4,7,5,2,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>5 [8,6,9,4,7,2,5,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>5 [9,7,10,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>6 [8,6,4,9,7,5,2,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>5 [9,7,10,5,8,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>6 [8,6,9,4,2,7,5,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>5 [9,7,10,5,8,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>6 [8,6,9,4,7,2,1,5,3]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>5 [7,5,8,4,6,3,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [8,6,9,4,7,3,5,2,1]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>4 [9,7,10,5,8,3,6,2,4,1]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>5 [7,6,8,2,5,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [3,5,2,4,7,6,1,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,4,7,2,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,5,4,7,6,1,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,5,4,7,6,1,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,5,7,4,6,1,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,5,7,4,6,1,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,5,7,4,6,2,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,2,5,7,4,6,1,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,2,7,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,5,7,2,6,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [5,3,7,6,2,4,1,8]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,3,7,6,1,2,8,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [5,3,7,6,1,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,3,7,6,4,1,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [3,5,7,2,6,1,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,5,2,7,6,1,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [5,3,7,6,4,1,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [3,7,5,4,1,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [3,7,5,4,1,8,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [3,7,5,1,4,8,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [3,7,5,1,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [3,5,7,1,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [3,5,7,2,1,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,5,2,7,1,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,5,7,2,1,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [5,3,7,1,6,2,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [3,5,7,1,4,6,8,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [3,5,7,1,4,6,2,8]=>[[1,2,6,8],[3,4,7],[5]]=>5 [3,5,7,1,4,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>5 [3,5,7,2,1,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,2,7,1,4,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,2,5,7,4,1,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,2,7,4,1,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,7,4,2,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,5,7,4,1,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>5 [3,5,4,7,1,6,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [3,5,4,7,1,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>5 [3,5,4,7,2,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,5,4,2,7,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,2,5,4,7,1,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,4,7,2,1,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,5,4,7,1,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [5,7,6,3,1,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,7,6,3,1,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [3,5,7,4,1,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [3,5,7,4,2,1,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,2,5,7,4,1,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,2,5,7,1,4,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,2,7,1,4,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,7,2,1,4,8,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,7,1,4,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [3,7,5,2,1,8,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [3,7,2,5,1,8,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,2,7,5,1,8,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,2,7,5,1,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,7,2,5,1,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,7,5,2,1,8,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [2,1,7,5,8,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [2,1,4,5,6,7,8,9,3]=>[[1,3,5,6,7,8,9],[2,4]]=>7 [3,1,4,5,6,7,8,2,9]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [5,8,3,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [5,8,7,2,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [3,8,6,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [4,3,5,6,8,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [3,7,6,4,1,8,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [3,7,4,1,8,6,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [3,8,4,1,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [3,2,7,6,1,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,2,8,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [5,7,8,2,4,1,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [4,2,5,8,1,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,2,5,8,1,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [5,8,2,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [8,4,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [3,2,6,8,1,5,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [8,3,2,5,6,1,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [3,2,8,6,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,2,6,8,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,2,6,7,1,5,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>4 [8,7,3,2,5,6,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [7,2,8,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [8,4,2,7,5,1,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [7,4,2,8,5,1,3,6]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [7,2,4,1,8,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [3,2,8,5,7,1,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [2,6,5,7,1,8,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [2,5,1,8,7,4,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [8,1,4,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,3,5,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [8,6,3,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [5,4,7,6,8,2,3,1]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [4,1,8,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [2,1,8,5,3,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [5,2,4,6,8,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [1,6,8,3,4,5,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>5 [5,7,4,8,6,1,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [5,4,2,6,7,8,1,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [6,4,2,7,3,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [7,4,1,8,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [6,5,4,8,7,3,1,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [8,7,4,2,1,3,6,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,7,1,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [6,8,2,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [7,4,3,2,6,8,5,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [2,7,4,3,8,5,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [8,3,7,2,1,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [5,7,8,2,4,3,1,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [8,4,7,3,2,6,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [8,3,1,6,7,4,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [3,2,5,7,4,8,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [8,2,7,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [7,1,6,3,5,8,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [2,8,5,6,7,1,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [1,5,2,7,8,6,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [2,6,8,5,1,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [1,4,2,8,6,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [3,5,1,6,8,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [5,7,6,2,1,3,8,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [2,5,8,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [4,1,7,5,2,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [7,6,2,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [7,3,4,2,5,8,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [8,7,4,2,5,1,6,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [8,1,4,5,2,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [5,2,4,8,6,7,1,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [8,5,6,2,1,3,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [4,2,1,5,6,7,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [3,4,6,5,1,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [7,3,5,2,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [5,3,7,2,4,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,7,5,2,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [5,7,3,2,4,6,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [1,5,3,2,4,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,5,3,2,7,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,7,3,2,1,4,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,7,3,2,4,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,7,2,5,4,1,6,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [5,1,3,2,4,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,1,3,2,7,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [7,1,3,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,7,3,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [7,1,3,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [5,1,3,7,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [3,2,7,5,1,4,6,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,7,5,1,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [5,7,3,1,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,5,3,7,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,3,2,7,4,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,2,4,7,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,2,1,4,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,2,1,7,4,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [1,3,2,7,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,3,7,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [7,3,1,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [5,3,1,2,7,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,3,1,2,4,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [3,2,5,1,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>4 [7,3,1,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,3,7,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [7,5,1,3,2,4,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [5,7,1,3,2,4,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [3,7,1,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [3,7,1,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [3,7,2,1,5,4,6,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,2,1,7,5,4,6,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,1,2,7,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [3,1,7,2,5,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [3,1,7,5,2,4,6,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [7,1,5,3,2,4,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [1,7,5,3,2,4,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [1,2,3,4,5,7,9,6,8]=>[[1,2,3,4,5,6,8],[7,9]]=>7 [1,9,8,7,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>3 [2,9,8,7,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>2 [1,9,8,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>3 [1,9,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>3 [1,10,9,8,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>3 [4,9,8,7,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8],[9]]=>4 [1,10,9,8,7,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>3 [1,8,7,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [2,10,9,8,7,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>2 [2,8,5,1,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [1,10,9,8,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>3 [6,8,5,1,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [1,10,9,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>3 [2,10,1,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>2 [1,9,8,7,6,3,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>3 [4,10,9,8,7,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>4 [1,9,8,7,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8],[9]]=>4 [2,8,1,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [1,8,7,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [1,8,5,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [7,5,3,4,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [8,5,3,6,2,4,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,5,6,3,7,4,2,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,5,6,2,7,4,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,7,6,3,4,1,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [3,5,1,4,8,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [1,7,5,4,8,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [2,5,1,4,8,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [1,5,6,4,8,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [3,6,4,1,8,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [1,6,4,3,8,5,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [7,6,1,4,5,3,8,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [1,6,4,2,8,5,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [7,6,5,8,2,4,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [7,6,5,8,3,1,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [2,6,4,3,8,5,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [7,2,3,1,5,8,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [7,1,5,6,3,8,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [7,2,6,5,3,8,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [1,5,6,4,8,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [7,6,1,3,4,5,8,2]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [7,1,3,2,4,8,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,6,1,5,4,3,8,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [7,6,5,8,1,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [3,4,6,8,7,2,1,5]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,5,6,8,2,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [4,2,1,5,3,7,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [3,5,6,8,1,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [4,5,3,1,7,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [3,5,7,1,8,4,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [5,1,3,4,2,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6 [5,3,1,4,2,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [4,2,6,1,3,7,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,6,2,7,1,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [5,1,4,2,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6 [3,6,1,7,2,5,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [5,1,4,3,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [6,2,4,5,1,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,1,4,8,6,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [8,6,2,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [2,6,8,1,4,5,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>4 [8,4,2,6,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [1,6,7,5,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,2,3,8,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [5,8,1,4,3,6,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,8,4,1,3,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,4,5,3,8,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [4,3,5,7,2,1,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,4,6,2,5,8,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>4 [4,2,8,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,3,8,6,5,7,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [1,3,7,2,6,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,3,6,4,2,5,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [1,5,4,7,3,6,8,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [1,6,3,7,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [3,2,6,7,8,1,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [5,1,8,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [3,8,5,6,1,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [3,4,8,1,7,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [4,7,6,8,5,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [6,7,4,8,5,1,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [6,4,8,3,1,7,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [3,6,5,8,7,1,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [5,7,4,8,2,6,3,1]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,6,4,8,2,7,3,1]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [6,5,3,8,2,7,4,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [6,4,8,1,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [7,6,3,1,4,2,5,8]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [1,5,4,3,7,8,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [7,8,4,2,5,3,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [4,2,7,8,5,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [4,2,5,3,1,7,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,2,8,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [4,2,7,6,3,1,5,8]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [6,3,1,7,5,2,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>5 [6,3,1,8,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [8,6,3,1,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [4,2,7,6,3,1,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [7,6,3,1,8,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,6,4,2,1,8,3,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [1,8,2,7,6,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,3,5,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [8,4,2,5,7,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [7,5,2,4,8,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [8,7,5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [7,5,2,4,6,3,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [5,2,8,6,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [8,4,7,5,2,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [8,3,6,4,7,5,2,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [1,8,2,7,5,3,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [7,5,2,1,8,3,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,5,2,6,3,1,8,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [5,2,7,4,1,8,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [5,2,8,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [8,7,4,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [7,4,1,5,2,8,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [7,6,3,1,4,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [7,5,2,8,6,3,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [8,7,5,2,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [7,5,2,1,3,6,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [8,7,5,2,1,3,6,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [7,5,2,1,3,8,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [1,3,7,6,5,8,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [8,6,4,7,5,2,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [6,4,8,7,5,2,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [6,4,7,5,2,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,3,1,4,7,5,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>6 [6,3,1,4,8,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [8,6,3,1,4,7,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [8,5,7,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [1,8,2,5,7,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [1,8,2,6,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,5,2,1,6,4,8,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [6,3,8,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [6,3,7,4,1,5,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>6 [7,4,1,6,3,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [7,4,1,8,6,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,4,6,3,1,7,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [6,4,7,5,2,1,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [1,6,4,7,5,3,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [8,6,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [6,3,5,2,8,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,3,5,2,7,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [1,4,7,3,5,2,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [5,7,4,2,6,3,1,8]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [4,2,6,3,5,7,1,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [2,4,5,8,1,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [6,1,3,7,4,2,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [3,2,6,8,1,5,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [8,2,6,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [8,6,2,7,1,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [7,6,8,3,1,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [6,3,7,2,8,1,5,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [7,5,2,8,6,1,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [2,7,3,8,1,5,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [1,6,8,5,2,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [4,5,7,2,8,1,6,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [8,4,6,5,3,1,7,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [4,5,3,1,7,2,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>5 [7,8,1,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [8,4,1,6,2,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [6,1,3,4,2,8,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [8,1,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [5,2,4,1,3,7,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [1,7,4,3,6,8,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [8,7,1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [1,8,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [4,7,5,3,8,2,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [8,1,5,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [6,3,5,8,7,4,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [8,1,7,6,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [3,6,8,5,7,4,1,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [4,7,6,8,5,3,1,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [3,8,7,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [2,8,7,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [1,8,7,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [4,6,7,2,5,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [2,4,7,8,1,6,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [4,2,6,8,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [5,1,8,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [2,7,3,8,1,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [2,6,8,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [4,6,7,1,2,8,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [3,6,1,8,2,7,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [5,7,4,1,2,8,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [6,3,7,1,2,8,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [1,7,8,5,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [1,2,6,7,8,4,3,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [8,1,4,6,7,3,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,7,1,3,6,8,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [3,7,6,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [1,3,6,7,4,2,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>6 [3,6,4,8,2,7,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [8,1,6,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [8,7,2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [1,7,8,2,6,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [8,7,2,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,7,3,2,1,5,6,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,7,8,2,1,6,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [8,7,6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [4,8,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,8,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [3,5,8,4,7,2,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [1,8,5,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [3,8,5,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [3,8,5,1,6,4,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [2,8,5,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,8,5,4,6,3,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [1,8,5,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [2,5,8,4,7,3,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [3,6,4,2,7,8,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [3,5,4,1,6,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [4,5,8,1,7,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [3,5,8,4,7,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [1,5,8,4,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [3,6,4,1,7,8,5,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [3,6,4,8,7,5,2,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [1,6,4,3,7,8,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [7,1,3,4,8,6,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,6,1,3,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,6,4,2,7,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [2,6,4,3,7,1,8,5]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [2,6,4,1,7,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [7,2,3,4,8,6,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [7,2,3,1,8,6,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [7,2,3,4,1,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [1,2,4,3,8,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [7,3,8,6,1,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,2,8,6,3,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [7,2,3,1,5,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [7,2,3,8,1,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,2,3,8,5,6,4,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [2,6,4,8,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [1,5,8,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [3,5,8,1,6,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [7,6,1,3,5,8,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [7,1,3,2,5,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [7,1,3,8,2,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,6,1,8,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [3,2,6,5,8,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [4,3,7,1,6,5,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [5,3,7,4,8,1,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [4,3,7,1,5,2,8,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [5,4,8,2,6,3,7,1]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,4,8,1,6,3,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [4,1,7,5,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [4,1,7,8,6,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [6,8,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [7,2,4,1,6,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [7,5,8,4,3,1,6,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [6,8,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [2,8,4,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [6,1,2,7,5,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [4,2,7,3,8,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>5 [4,5,2,6,8,3,7,1]=>[[1,3,6,7],[2,5,8],[4]]=>5 [6,8,5,3,4,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [6,8,4,1,5,3,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [8,3,4,7,6,2,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [1,8,3,5,2,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [6,8,3,5,1,4,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [6,8,5,4,2,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [8,1,3,4,2,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [8,1,3,2,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [8,1,2,4,5,3,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [10,1,3,2,5,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>5 [6,5,3,8,4,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [7,4,5,1,6,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,7,3,5,6,2,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [6,7,8,4,1,3,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [3,1,6,8,4,7,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [8,3,6,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [3,2,7,5,8,6,1,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [2,5,4,7,8,1,6,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [2,4,6,7,8,1,5,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,4,6,8,1,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [7,4,3,8,6,2,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [2,4,7,8,3,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>5 [3,2,7,6,1,8,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [3,2,6,8,1,7,4,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [4,3,6,2,1,8,5,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,6,2,3,7,5,8,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [5,8,4,2,3,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [8,4,5,3,2,1,7,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [5,8,3,4,2,1,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [6,4,8,3,2,7,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [5,8,3,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [2,5,6,4,7,1,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [6,4,7,3,8,2,1,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [6,7,4,3,2,1,8,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [8,4,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [1,5,2,8,4,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,5,2,7,4,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [5,1,2,7,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [5,1,2,8,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [5,6,3,4,8,7,2,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [6,5,3,4,8,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [4,1,2,8,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [4,1,2,7,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [7,5,3,8,4,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [8,5,3,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [5,8,1,2,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [7,1,2,8,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [6,1,8,2,3,5,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>5 [6,1,7,2,3,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,6,8,2,4,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>5 [4,3,8,7,5,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [1,8,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [7,1,6,2,3,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [8,1,6,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [8,1,7,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [5,8,3,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [6,8,7,3,4,5,2,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [1,8,7,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [8,7,1,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [8,6,1,2,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [8,1,6,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [1,7,6,2,4,5,3,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [1,8,7,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [1,8,3,5,7,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [2,3,4,6,8,5,7,1]=>[[1,3,4,5,7],[2,8],[6]]=>5 [2,3,5,7,4,8,6,1]=>[[1,3,4,6,8],[2,7],[5]]=>5 [2,4,6,3,7,8,5,1]=>[[1,3,5,7,8],[2,6],[4]]=>5 [2,5,7,1,8,6,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [2,6,7,1,8,4,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>5 [5,8,3,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [3,8,4,2,6,7,1,5]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [2,4,1,8,5,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [3,5,2,6,7,8,4,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [4,5,1,6,7,3,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [2,8,4,1,7,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,5,3,1,7,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [4,2,8,7,1,5,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [5,2,6,8,1,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [5,7,3,2,6,8,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [6,7,1,2,3,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [3,1,6,7,8,4,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [3,1,4,8,5,6,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [8,3,1,4,5,7,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [1,6,7,8,9,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>8 [1,7,8,9,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [1,7,8,9,10,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [5,6,7,8,9,1,2,3,4,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>9 [5,6,7,1,8,2,3,4,9]=>[[1,2,3,4,9],[5,6,7,8]]=>8 [1,6,7,8,2,9,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>8 [8,6,2,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,4,5,7,3,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,6,3,8,7,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,2,3,7,5,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [8,2,6,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [8,6,1,5,2,4,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [8,6,2,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [8,4,1,6,5,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [8,3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [8,3,2,6,5,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [8,3,2,5,7,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [8,3,1,7,5,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,2,7,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [6,1,3,8,7,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [3,6,1,8,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [3,8,1,5,7,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [3,5,2,8,7,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,4,8,2,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [3,4,8,7,1,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,1,3,5,7,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [4,1,8,5,7,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [8,2,7,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,1,7,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,3,1,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [3,8,2,4,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [2,8,3,7,4,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [8,2,3,7,1,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,2,7,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,1,7,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,1,7,5,2,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [8,2,3,7,4,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,4,8,5,7,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [8,2,4,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,2,7,3,5,1,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,2,7,4,3,1,5,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [8,2,7,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,2,1,5,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [6,2,1,8,7,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [6,1,8,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [8,1,7,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,1,5,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,1,7,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,2,4,1,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [4,2,8,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [4,8,2,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [5,1,8,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [5,8,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,2,5,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [5,1,4,8,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [8,1,4,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [4,8,1,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [4,3,8,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [5,8,6,3,2,1,7,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [5,7,6,3,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [6,5,7,2,4,3,1,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [5,7,1,3,2,8,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [5,8,1,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [8,5,1,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [7,5,8,2,1,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [6,7,1,2,5,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [6,8,1,2,5,7,4,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [8,1,6,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [1,5,4,8,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,7,8,2,3,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [7,5,8,2,3,1,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [7,4,1,2,6,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [6,2,8,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [7,3,5,4,2,1,8,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [7,3,2,8,5,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [1,7,4,3,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [4,7,6,5,2,3,8,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [6,7,4,2,1,8,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [1,7,6,3,2,8,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,5,8,1,7,3,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [6,5,8,2,3,7,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [4,1,2,8,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [3,5,8,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,7,6,1,5,2,8,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [1,7,6,2,5,8,4,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [1,7,6,5,8,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [3,7,6,2,8,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [2,7,1,5,8,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [2,7,6,1,8,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [7,1,2,6,3,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [7,2,6,3,4,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>5 [6,7,8,4,2,5,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,1,2,5,7,8,4,3]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [4,1,2,7,8,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [4,7,3,1,2,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [3,7,6,1,5,8,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [3,8,5,6,4,2,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [3,2,6,4,7,8,5,1]=>[[1,4,5,8],[2,6,7],[3]]=>5 [4,2,7,5,8,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [4,2,7,1,3,8,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [5,2,1,4,7,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [5,6,2,7,3,4,8,1]=>[[1,3,4,8],[2,6,7],[5]]=>6 [6,1,3,8,5,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [2,7,6,8,5,1,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [2,7,6,8,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [1,5,8,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [2,5,8,6,4,1,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [1,6,2,3,5,8,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>5 [4,7,2,3,1,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [6,7,3,1,5,4,8,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [7,4,6,2,8,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [7,3,5,1,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [3,4,6,5,1,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>6 [4,3,8,2,6,7,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [5,1,8,6,4,7,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [4,2,6,1,5,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [6,7,2,3,1,5,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [7,5,2,3,8,1,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,5,2,3,8,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [4,5,1,7,6,3,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [8,1,7,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [8,6,3,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [4,5,1,6,2,8,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [4,8,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [6,2,7,8,3,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,2,4,3,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>9 [1,2,4,6,8,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>5 [2,1,7,5,8,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [4,7,3,8,6,5,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [3,8,7,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [7,3,8,4,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,4,3,6,5,8,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [4,5,8,7,2,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [3,8,6,7,5,1,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [4,2,7,6,5,8,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [4,6,7,8,5,2,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,5,3,8,2,7,6,1]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [3,8,5,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [6,4,7,2,5,8,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,3,8,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [5,3,6,4,1,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [6,8,4,3,5,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [5,2,4,8,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [4,2,5,1,7,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [2,5,4,1,3,8,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [1,4,5,3,8,2,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [5,1,8,2,4,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,5,4,8,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [4,8,3,1,6,7,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [3,4,8,2,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,6,2,4,8,7,1,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [4,7,3,2,6,8,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [7,3,4,6,8,1,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [3,6,7,2,5,8,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [1,5,6,8,3,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [6,1,5,8,3,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [5,6,8,1,3,4,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>5 [2,8,5,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [6,8,1,3,5,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [8,1,6,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [7,1,2,5,8,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [6,2,4,8,1,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [3,1,7,8,5,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [1,6,2,7,4,8,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [2,7,1,8,4,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [6,7,1,8,3,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [2,7,6,3,5,8,1,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,7,5,6,8,1,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [6,7,2,8,1,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [5,1,6,8,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,5,7,6,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [7,4,6,8,5,3,1,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [3,8,6,7,5,1,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [1,6,8,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [2,6,8,1,5,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [1,5,4,7,6,2,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [2,3,7,6,5,1,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [6,1,5,8,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [3,1,2,4,8,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [2,5,8,4,6,3,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [7,1,5,4,8,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,4,1,7,5,3,2,8]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [2,7,6,4,8,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,2,5,4,8,1,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [1,7,2,5,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [2,4,1,3,6,8,5,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>5 [7,2,3,8,6,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,3,2,5,8,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [5,3,8,4,1,2,6,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [2,4,8,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [5,2,8,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [7,6,5,2,1,8,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [2,7,5,1,8,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [5,1,8,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [3,8,7,2,4,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [5,7,1,3,2,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [4,2,7,6,3,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [8,4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [8,1,7,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [6,5,1,3,8,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [4,7,8,3,2,5,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [6,1,8,5,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [5,1,6,8,3,7,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [8,6,5,1,7,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [7,6,4,1,3,5,8,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [8,2,3,7,1,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [2,8,3,7,1,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [5,6,2,7,4,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [8,6,2,7,4,1,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [3,7,8,5,2,1,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [6,8,4,7,3,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [4,8,6,5,1,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [4,8,6,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [3,4,5,1,7,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,8,7,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,4,6,7,1,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [5,7,2,6,1,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [5,7,2,6,1,3,8,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [5,8,2,6,1,4,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [3,8,7,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [6,8,4,7,2,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [1,7,3,4,5,2,8,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [4,8,2,1,3,5,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [1,7,2,5,4,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [2,6,7,3,4,8,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [2,1,5,7,4,3,8,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [4,1,8,7,5,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [1,5,8,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [6,4,1,3,8,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [2,1,7,4,6,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [1,7,2,4,6,8,3,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [8,6,4,2,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [7,4,6,1,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [1,8,6,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,7,8,6,2,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [2,1,8,3,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [3,5,8,1,7,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [2,8,1,3,6,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [7,2,4,8,6,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [2,4,1,5,6,7,8,9,10,3]=>[[1,3,5,6,7,8,9,10],[2,4]]=>8 [3,2,4,5,6,7,8,1,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [6,4,3,2,8,1,7,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [6,2,4,3,8,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [5,8,4,3,1,6,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,4,3,8,2,7,6,10,1,9]=>[[1,6,9],[2,7,10],[3,8],[4],[5]]=>3 [7,6,5,4,3,10,2,9,8,1]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>2 [6,5,4,10,3,9,8,7,2,1]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>2 [8,7,6,12,5,11,10,9,2,4,1,3]=>[[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>3 [4,2,8,1,5,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [6,3,7,2,5,4,8,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [5,4,7,3,2,6,8,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [5,7,2,6,3,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [3,7,5,4,6,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [6,8,3,2,1,7,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [4,8,1,7,5,3,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [5,4,3,7,2,8,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,6,5,7,2,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [4,6,5,3,8,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [2,6,5,8,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,3,8,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [7,2,8,1,6,4,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [8,2,6,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [5,4,2,8,6,3,7,1]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [2,8,7,5,3,1,4,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [2,5,6,3,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [2,4,7,8,5,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [6,5,3,2,4,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [6,5,8,7,3,2,4,1]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [2,1,4,7,8,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [8,5,6,7,3,1,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [8,7,5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [8,5,3,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [8,5,1,6,4,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [6,1,4,3,7,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [6,1,2,7,5,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [2,7,3,1,4,6,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,8,3,1,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [3,8,5,6,7,1,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,5,8,1,4,6,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,1,8,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [7,8,3,4,1,6,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [8,7,3,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,4,5,2,3,7,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [4,7,2,8,6,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [4,7,5,2,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [6,4,7,5,2,8,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [7,5,1,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [6,5,2,3,7,8,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [7,2,6,3,1,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [4,6,3,8,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [2,8,4,1,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [1,8,4,2,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [2,8,5,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [2,5,8,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [1,8,5,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,4,6,2,8,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [7,8,2,4,1,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [2,4,6,1,8,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,8,4,5,1,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [3,5,8,2,7,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [2,1,6,8,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [1,8,2,4,5,7,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [1,2,8,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [1,3,8,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [2,3,8,1,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [2,6,1,8,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [1,6,2,8,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,6,3,8,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [2,6,3,8,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [3,2,8,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,1,8,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [2,8,1,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [7,8,2,1,4,6,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [2,3,6,8,7,5,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [3,1,6,8,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [3,8,4,5,1,6,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [6,1,4,5,7,2,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [8,1,4,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,3,1,6,4,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [5,3,8,6,2,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [8,3,6,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [8,4,6,3,1,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [6,8,1,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [1,5,8,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [2,1,6,5,3,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [5,6,8,1,4,2,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [5,7,4,8,1,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [8,2,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [4,7,8,1,2,6,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [8,7,1,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [1,6,5,8,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [3,7,1,6,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [5,1,2,7,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [6,1,7,2,5,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,7,6,5,8,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,6,8,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [7,5,1,2,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [6,1,5,2,7,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,7,3,2,4,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [8,3,1,4,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [3,1,2,7,8,4,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [5,1,2,6,8,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,8,6,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [5,7,8,1,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [8,1,5,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [7,1,6,8,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [8,3,1,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,5,8,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [7,8,6,1,5,2,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,10,3,4,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>8 [7,8,6,3,1,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,8,1,3,4,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,7,4,8,2,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [3,8,6,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [7,1,8,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,6,8,4,1,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [7,3,2,8,1,5,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [3,5,4,1,7,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>5 [6,4,7,3,2,5,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [7,6,5,3,8,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [6,4,5,7,8,1,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [3,7,4,1,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [3,1,2,7,6,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [6,3,2,8,4,5,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [6,1,8,3,5,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [3,8,5,2,4,6,1,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [1,6,4,8,3,5,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,5,4,8,6,3,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [4,8,2,5,3,7,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [3,8,4,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [4,1,8,6,5,3,7,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [5,7,8,4,6,3,2,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [5,3,2,8,6,4,7,1]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [6,8,1,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [5,8,7,3,6,2,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [7,5,2,3,4,8,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [7,3,5,4,2,8,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [5,6,1,3,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [2,5,1,3,7,8,6,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [4,3,7,2,1,8,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,6,7,2,1,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,6,2,3,1,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [3,6,4,2,5,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [3,1,6,4,7,5,2,8]=>[[1,2,5,8],[3,4,7],[6]]=>6 [3,6,2,7,5,4,1,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [2,4,7,5,3,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [2,5,7,3,4,1,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>5 [2,3,5,8,6,4,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [2,4,7,3,8,6,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [3,4,2,7,5,8,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,1,5,4,7,8,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [4,5,7,2,3,1,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [3,7,8,1,4,6,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [2,5,8,7,4,1,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [2,6,4,7,5,3,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,2,4,7,1,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [7,3,5,1,4,2,8,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [5,4,7,1,3,2,8,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [6,1,4,7,5,3,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [8,7,4,3,1,5,6,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [8,7,1,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [6,1,8,4,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [4,7,3,6,1,2,8,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [5,2,1,7,4,3,8,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [4,7,6,2,3,1,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [7,6,8,2,5,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [2,3,6,1,8,7,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [2,6,8,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [6,4,1,7,5,2,8,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [5,7,8,2,3,6,1,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [4,8,7,1,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [2,8,7,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,6,2,1,5,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [3,8,6,7,5,2,1,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [6,1,3,7,5,8,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [4,7,3,1,8,5,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [2,6,7,5,3,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [2,6,4,5,7,3,8,1]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [6,1,4,5,8,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,1,8,5,3,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [4,1,5,6,8,3,7,2]=>[[1,2,6,7],[3,5,8],[4]]=>5 [6,4,1,8,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [8,1,2,3,4,5,6,7,10,9]=>[[1,2,3,4,5,6,7,9],[8,10]]=>8 [1,7,2,3,4,5,6,9,8]=>[[1,2,3,4,5,6,8],[7,9]]=>7 [1,3,8,5,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,3,8,6,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [2,8,3,7,6,1,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [4,2,7,8,6,1,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [1,3,8,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [7,4,6,8,5,2,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [5,2,6,7,8,1,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [4,5,6,8,1,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [3,5,8,6,1,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [4,2,6,8,7,1,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [1,4,6,8,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [4,5,3,8,1,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [3,5,8,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [1,6,5,7,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,5,4,8,1,3,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [7,6,4,8,5,1,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [6,3,7,5,2,4,8,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [8,1,2,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [2,5,7,4,6,1,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>4 [6,1,7,4,5,3,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [8,2,7,3,1,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [2,6,4,8,3,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [8,1,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [1,2,5,3,8,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [4,1,6,5,7,8,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [6,1,3,7,4,2,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,7,2,4,1,3,8,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [8,5,3,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [1,3,8,2,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [1,8,6,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [7,6,8,3,5,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [1,6,7,3,8,5,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [8,7,2,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [7,8,6,5,2,4,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [3,6,7,5,2,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [5,4,6,7,8,1,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,3,6,7,8,1,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [5,3,7,6,8,4,1,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [7,5,3,2,8,6,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [5,4,8,6,7,2,3,1]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,4,8,6,3,1,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [4,5,7,3,6,2,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,5,6,3,8,2,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [5,4,8,7,2,1,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [2,5,4,7,8,1,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [5,3,6,4,8,2,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,3,7,4,6,2,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [8,2,6,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [8,2,4,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,2,6,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [4,5,6,2,7,3,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [5,4,6,2,8,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [8,4,6,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [5,2,1,6,3,8,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [4,5,6,3,7,1,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [6,3,2,8,5,4,1,7]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [4,3,1,5,2,8,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [8,5,4,1,3,2,6,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [3,8,4,1,5,2,6,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [2,5,4,3,8,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [2,5,7,4,3,1,6,8]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [5,3,4,2,7,1,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,7,5,4,1,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [4,2,5,1,3,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [4,3,5,1,2,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,1,6,3,5,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [4,2,1,8,6,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [3,1,7,2,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [3,7,2,4,1,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [7,3,2,1,6,4,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [2,8,6,1,7,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [2,5,4,6,1,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,5,6,4,1,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [8,5,2,6,1,3,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [7,1,5,6,3,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [7,1,2,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [2,4,1,6,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [4,1,2,7,5,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [7,1,2,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [8,2,1,5,6,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,8,5,1,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [6,1,4,5,3,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [3,1,6,5,4,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [3,1,4,6,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>6 [2,1,8,6,3,7,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [5,8,3,1,7,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [7,6,3,2,8,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [5,6,3,8,7,4,1,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [5,2,6,8,7,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [6,3,8,5,4,1,2,7]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [6,3,8,4,5,1,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>5 [5,2,3,1,4,8,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [5,4,1,3,2,8,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,1,3,4,2,8,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [5,2,1,4,3,8,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [4,2,7,3,8,5,1,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [4,7,3,2,8,5,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,3,7,2,8,5,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [5,3,1,2,4,8,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [5,4,3,1,2,8,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,3,4,1,2,8,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [5,2,3,4,1,8,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [5,1,7,3,4,6,8,2]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,8,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [6,8,1,3,4,5,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>5 [3,1,7,8,2,5,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [6,3,7,4,1,2,5,8]=>[[1,2,5,8],[3,4],[6,7]]=>6 [7,2,6,8,4,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [3,7,2,8,6,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,6,7,5,1,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>5 [7,4,5,1,8,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [7,2,3,1,8,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [2,1,4,8,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [4,8,1,6,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [1,2,7,8,4,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [4,8,1,3,5,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [5,3,7,8,4,2,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [6,3,7,8,2,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [8,5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [7,5,4,2,3,1,8,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [3,5,4,6,7,1,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [1,4,2,6,5,8,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>5 [1,3,2,6,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,4,2,5,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,5,2,6,4,8,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>5 [1,6,2,5,3,8,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [2,5,1,4,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [1,7,3,5,4,8,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,8,2,6,3,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,8,3,6,4,7,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,7,2,6,4,8,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,7,2,6,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,5,2,7,4,8,6,3]=>[[1,2,3,6],[4,7,8],[5]]=>5 [1,4,2,8,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [4,8,1,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [1,8,4,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [2,6,3,8,1,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>4 [8,3,1,4,2,6,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [4,8,7,3,5,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [6,8,7,3,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [8,3,5,1,2,6,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [8,6,3,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [8,6,4,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [8,6,5,4,1,3,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [5,3,8,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [2,3,8,7,4,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,3,5,7,4,1,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [4,8,5,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [6,8,7,3,1,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [6,8,5,4,1,3,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [2,5,8,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [4,8,7,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [3,8,7,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [2,3,8,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [2,8,7,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,5,4,7,2,1,3,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [6,8,7,3,5,2,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [3,5,8,6,4,2,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [6,8,4,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [6,8,2,1,7,5,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [5,8,4,6,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [2,4,8,6,5,1,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [4,8,7,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [4,8,7,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [4,5,2,1,8,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,5,8,3,1,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [5,7,2,8,4,6,1,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [6,7,3,2,4,8,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [7,2,8,6,4,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [8,7,2,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [5,2,7,8,4,1,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [2,7,8,6,4,1,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [7,6,3,5,2,8,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [6,2,7,4,8,5,3,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [8,6,5,1,7,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [6,8,5,1,7,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [1,6,8,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [5,1,6,3,4,8,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [3,5,2,6,4,8,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,5,2,4,8,1,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [6,3,8,2,4,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [4,6,3,8,7,5,2,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [6,3,8,7,5,4,2,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [6,8,4,2,1,7,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [5,2,6,4,3,8,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [6,5,3,1,4,8,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [3,1,7,8,6,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [3,8,1,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,1,7,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [7,2,6,3,8,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [7,3,8,6,4,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [1,7,5,8,2,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [6,1,5,2,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,5,6,3,8,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [8,7,1,3,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [2,6,7,4,3,8,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [5,2,4,7,3,8,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [1,5,8,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,4,8,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,3,7,2,5,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,7,2,8,1,5,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [3,2,6,1,5,8,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [7,2,1,5,8,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [7,2,8,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [1,7,8,3,2,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [1,7,4,8,3,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [1,7,5,4,8,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,1,5,4,3,8,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [1,7,4,5,6,8,2,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [1,3,4,5,6,7,8,10,9,2]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>8 [1,6,4,2,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>6 [1,8,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>6 [1,5,8,6,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,6,5,7,2,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,7,5,6,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,3,2,7,6,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,2,3,7,6,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [1,5,4,2,3,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,5,4,2,3,8,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,3,2,8,6,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,7,5,8,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,8,7,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [2,1,5,8,6,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,5,8,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [2,5,3,8,6,1,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [2,6,3,5,8,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [6,3,2,5,8,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [5,3,2,8,6,1,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,8,4,6,1,3,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,3,8,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [2,6,5,4,8,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [8,3,5,7,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [2,4,6,8,5,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,4,8,1,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [4,3,8,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [3,8,4,1,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [4,3,6,8,5,2,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [8,5,4,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [3,6,8,5,4,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [3,6,4,8,5,2,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [3,6,4,1,8,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [3,6,4,1,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [4,8,6,5,1,3,7,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [2,8,3,5,6,7,1,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [5,6,2,4,7,1,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [2,7,5,4,6,1,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [2,3,7,4,6,1,8,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [2,6,7,4,1,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [6,5,7,4,1,3,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [2,4,6,3,5,7,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>5 [4,1,6,3,5,7,8,2]=>[[1,2,5,7,8],[3,6],[4]]=>5 [3,6,4,2,5,7,8,1]=>[[1,4,5,7,8],[2],[3],[6]]=>5 [2,3,6,1,5,7,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [4,3,6,2,5,7,8,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,6,1,2,5,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [2,6,4,1,5,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,4,1,6,5,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [7,5,4,2,6,1,8,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [4,7,3,1,8,6,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [5,6,4,2,7,1,8,3]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,3,6,4,8,2,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [7,3,2,5,4,1,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [7,3,2,5,1,8,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [4,7,6,3,8,2,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [5,7,3,2,6,1,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,7,3,2,6,4,1,8]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [2,7,5,3,1,8,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,5,2,8,4,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,3,2,4,1,8,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [8,4,3,2,7,5,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [4,3,7,5,8,2,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [8,4,5,3,7,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [4,3,5,2,8,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [1,2,8,6,4,5,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [1,8,5,3,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,9,4,3,5,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4],[9]]=>6 [7,8,4,1,6,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,7,5,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [1,2,3,5,7,4,6,9,8]=>[[1,2,3,4,6,8],[5,7,9]]=>6 [1,2,3,4,6,8,5,7,10,9]=>[[1,2,3,4,5,7,9],[6,8,10]]=>7 [1,2,3,5,7,4,6,9,8,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>7 [1,2,5,7,3,4,6,9,8]=>[[1,2,3,4,6,8],[5,7,9]]=>6 [3,2,6,4,1,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [2,8,6,5,3,1,4,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [5,4,8,6,2,3,1,7]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [4,8,7,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [5,2,4,7,6,8,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [3,4,2,8,7,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [8,5,7,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [6,4,1,8,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [1,8,5,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [8,3,2,7,4,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [7,5,8,4,1,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [7,1,6,2,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [6,4,7,1,3,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [5,1,3,8,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,7,1,6,2,5,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [3,8,5,2,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [7,1,5,2,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [3,8,5,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [7,2,5,4,1,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [7,5,8,1,6,3,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,4,6,1,3,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [1,4,5,8,6,3,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [8,4,5,7,2,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [4,5,2,6,7,3,1,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [8,1,7,5,3,6,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [5,2,8,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>5 [5,2,6,3,1,7,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [4,3,5,1,6,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [5,7,6,1,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [3,6,7,5,1,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [1,7,6,8,5,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [5,7,6,8,1,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [5,6,3,7,1,4,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [5,3,2,1,8,6,4,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [1,8,7,6,5,4,3,2,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>3 [1,9,8,7,6,5,4,3,2,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>3 [6,5,8,3,7,2,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [7,8,5,3,6,2,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [7,8,5,3,6,2,4,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [1,8,4,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [5,4,3,8,2,1,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [6,4,8,3,2,1,7,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [1,8,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [1,8,6,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,8,4,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [5,4,3,8,2,1,6,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [1,8,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [4,5,6,7,8,1,2,9,3]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [4,5,6,7,1,2,8,9,3]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [4,5,6,1,2,7,8,9,3]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [4,5,1,2,6,7,8,9,3]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [6,4,2,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [5,2,3,6,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [5,2,3,8,6,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [5,2,3,7,4,8,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [8,6,3,2,5,4,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [7,2,3,4,5,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [7,2,8,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>5 [3,8,6,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [2,1,8,6,4,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [4,8,2,5,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [5,8,2,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [6,3,4,7,8,2,1,5]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [3,8,5,1,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [4,8,5,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [4,6,8,5,2,7,3,1]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [3,7,8,5,2,6,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [3,8,6,2,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [8,5,4,7,1,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [7,3,6,2,8,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [8,1,5,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [6,4,2,3,7,8,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [8,4,2,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [4,5,8,3,7,2,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [3,7,2,8,4,5,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,5,1,8,4,6,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [4,2,1,5,6,8,3,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,1,2,6,5,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [4,1,8,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [4,2,7,5,8,1,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [4,6,2,7,8,3,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,6,1,3,8,2,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,3,6,2,1,8,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [3,7,4,5,1,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,6,4,5,8,2,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [6,1,4,5,2,8,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [7,2,4,5,1,6,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [7,5,4,1,6,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [1,5,4,8,6,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [7,5,4,8,6,3,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [1,8,7,5,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [8,3,7,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,5,4,1,6,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [1,7,4,2,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [8,2,1,5,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [6,3,1,8,4,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [7,1,4,8,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [4,1,8,5,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,7,4,8,6,2,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,3,6,8,2,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [6,3,7,4,8,2,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [5,3,6,1,4,7,2,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [4,3,6,8,2,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [5,3,7,4,8,2,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,3,8,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [5,3,8,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [5,8,4,1,6,3,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [7,3,8,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [1,5,8,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [1,8,2,5,6,7,3,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [7,8,4,1,6,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [6,3,8,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [8,3,1,2,5,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [8,1,4,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [7,8,1,2,3,4,5,9,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [7,1,8,2,9,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [6,1,7,2,8,3,9,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>8 [5,1,6,2,7,3,8,4,9]=>[[1,2,3,4,9],[5,6,7,8]]=>8 [8,1,9,2,10,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9,10]]=>9 [7,1,8,2,3,9,4,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [7,1,8,2,9,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [6,1,7,2,8,3,4,9,5]=>[[1,2,3,4,5],[6,7,8,9]]=>8 [5,1,6,2,7,3,8,4,10,9]=>[[1,2,3,4,9],[5,6,7,8,10]]=>8 [4,1,5,2,6,3,8,7,10,9]=>[[1,2,3,7,9],[4,5,6,8,10]]=>7 [5,1,3,7,4,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [5,1,3,4,7,8,2,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [2,5,8,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [5,1,7,8,3,4,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [2,5,4,8,3,7,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [5,6,8,2,3,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [2,3,5,7,4,6,8,1]=>[[1,3,4,6,8],[2,7],[5]]=>5 [3,7,4,5,8,1,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [3,7,8,1,4,5,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [5,8,2,1,6,3,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>5 [4,8,1,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [2,4,7,8,5,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [5,3,1,4,7,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [2,4,7,5,8,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [4,8,5,7,3,1,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [4,8,7,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [3,7,8,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [1,8,5,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,8,5,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [1,3,6,8,5,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,8,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [1,3,6,8,2,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,6,5,4,3,8,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [1,8,3,4,5,6,2,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,8,3,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,4,5,8,3,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,2,7,8,4,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [7,2,8,5,6,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,6,3,8,5,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [6,2,8,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [6,2,8,4,3,7,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [5,2,8,4,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [1,2,5,4,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,4,3,6,8,7,2,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [3,2,5,7,6,8,1,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [5,3,2,6,8,4,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [3,1,8,6,4,7,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [3,1,6,8,5,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [5,3,2,8,7,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [5,3,8,2,7,6,1,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [6,5,4,8,3,7,2,1]=>[[1,7],[2,8],[3],[4],[5],[6]]=>2 [4,8,5,1,3,7,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [4,3,8,7,2,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [2,7,5,1,8,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [7,8,5,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [7,6,4,8,1,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [3,8,5,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [2,4,5,8,7,3,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,4,5,8,6,7,1,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [4,3,1,5,6,2,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,1,5,8,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [4,3,7,6,1,2,8,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [4,7,5,6,1,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,3,7,5,6,2,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,5,1,8,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [3,4,5,8,6,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [2,1,5,8,6,7,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [3,4,5,8,7,1,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [4,7,1,5,6,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [2,6,4,7,1,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [5,3,8,6,4,7,2,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [6,4,1,5,7,8,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [3,6,4,7,2,1,8,5]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [3,8,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [3,8,5,6,4,7,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [3,8,4,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3],[8]]=>5 [3,8,6,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [3,8,7,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,8,6,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [6,4,1,7,3,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [5,1,4,6,7,2,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [6,5,4,7,1,3,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [2,1,6,5,3,7,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [6,1,4,7,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [1,6,2,5,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [4,1,2,7,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [6,1,3,5,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [5,6,4,3,1,8,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [6,2,3,5,8,1,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [6,7,2,3,8,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>6 [6,7,2,1,3,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [5,7,4,1,8,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [4,1,7,5,8,3,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [6,7,1,3,8,4,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,6,7,4,3,8,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [6,1,7,4,2,8,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [2,1,6,7,4,3,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [6,7,3,2,1,8,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [2,5,7,3,1,4,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [6,7,3,2,8,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [1,2,6,7,4,3,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [2,7,1,8,4,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [2,7,5,8,1,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [6,7,1,8,4,5,3,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [8,3,7,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,7,3,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,2,5,7,1,4,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [8,2,4,7,1,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,2,3,4,7,1,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [8,7,3,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [8,7,4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [8,4,6,7,5,1,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [8,4,6,7,5,1,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [8,3,5,7,6,1,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,7,3,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [8,7,3,4,6,2,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,7,4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [8,6,5,2,7,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [8,4,3,7,6,5,1,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [8,5,6,7,4,1,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [8,5,7,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,4,2,7,5,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [8,3,4,2,7,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [8,4,7,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,3,5,2,7,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [8,5,2,6,7,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [8,5,3,7,6,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [8,6,2,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,6,2,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [8,5,2,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [8,5,3,2,7,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [8,6,1,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [2,4,5,8,3,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [2,7,4,6,1,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [2,4,3,8,5,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [7,8,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [1,5,6,7,3,8,2,4]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,6,5,4,8,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [1,7,3,5,8,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,2,1,6,4,8,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [3,8,7,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [3,1,8,7,6,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [3,1,8,7,5,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [3,1,7,6,5,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [4,7,1,6,5,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [4,8,1,6,5,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [8,4,1,7,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [5,4,1,8,6,3,2,7]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [5,4,1,7,6,3,2,8]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [6,4,1,8,5,3,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [8,4,1,7,5,3,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [7,4,1,6,5,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [7,5,6,1,4,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [8,5,6,1,4,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [8,5,7,1,4,3,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [5,7,6,1,4,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [5,8,6,1,4,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [6,7,5,1,4,3,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [8,7,5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [8,6,5,1,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [1,8,6,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [3,1,6,4,5,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [7,6,3,8,4,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [8,2,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [5,2,7,8,1,4,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [5,6,3,8,4,1,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [8,2,7,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [5,2,3,4,7,1,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>5 [5,2,3,7,1,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [8,7,5,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [1,4,7,8,5,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [5,8,3,7,6,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [6,5,1,7,2,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [3,6,7,1,4,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>6 [4,7,5,8,2,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [8,1,2,7,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [6,5,1,8,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [1,8,7,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [7,8,1,5,4,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [3,4,6,8,1,5,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>5 [6,8,1,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [7,6,3,1,2,8,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [1,7,5,2,6,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [7,1,3,6,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,2,5,7,8,4,6,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [3,1,2,7,5,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [6,7,4,1,3,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [1,7,2,8,4,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,6,3,5,7,8,2,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [8,6,1,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [7,6,4,1,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [8,4,1,6,5,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [1,5,3,4,7,8,2,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [4,2,1,5,7,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [5,4,1,6,7,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [5,1,4,6,7,8,2,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [4,1,5,3,7,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [8,1,4,6,5,2,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [7,1,5,4,6,3,2,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [8,2,1,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [1,2,4,7,6,3,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [6,7,4,1,8,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [8,6,4,1,5,7,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [5,2,4,3,7,1,6,8]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [6,1,5,4,8,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [1,2,8,7,4,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [3,2,1,7,5,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [1,3,6,4,7,8,2,5]=>[[1,2,4,5,8],[3,7],[6]]=>6 [4,5,1,3,7,8,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [5,2,3,1,7,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [1,6,4,3,7,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [7,6,4,3,1,5,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [7,5,4,6,1,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [8,4,6,5,1,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [1,5,6,3,7,8,2,4]=>[[1,2,4,7,8],[3,6],[5]]=>6 [7,1,2,3,4,5,8,9,10,6]=>[[1,2,3,4,5,6,9,10],[7,8]]=>9 [6,1,2,3,4,7,8,9,10,5]=>[[1,2,3,4,5,8,9,10],[6,7]]=>9 [5,1,2,3,6,7,8,9,10,4]=>[[1,2,3,4,7,8,9,10],[5,6]]=>9 [1,5,2,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [8,6,5,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [1,6,3,8,4,5,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>5 [7,5,4,2,6,3,8,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [7,8,6,5,4,3,2,9,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [2,3,8,4,7,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [3,7,2,8,6,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [4,3,7,8,6,2,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [3,8,1,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [2,4,7,8,6,1,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [2,4,8,5,1,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,8,3,5,1,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [8,2,4,6,3,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [4,5,3,8,2,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,5,6,7,8,9,2,1,3]=>[[1,3,6,7,8,9],[2,5],[4]]=>7 [5,6,7,8,9,2,1,3,4]=>[[1,3,4,8,9],[2,6,7],[5]]=>7 [6,7,8,9,2,1,3,4,5]=>[[1,3,4,5],[2,7,8,9],[6]]=>7 [1,4,6,2,7,5,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [8,2,1,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [7,3,1,2,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [7,8,2,1,5,4,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [1,4,8,5,2,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [5,2,3,7,8,1,6,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [1,2,8,4,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,2,7,5,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,7,3,2,6,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [7,2,1,3,6,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [4,7,8,1,6,5,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [3,5,8,6,1,4,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [1,8,4,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [7,3,8,1,6,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [7,3,8,2,6,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [7,1,3,8,6,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [8,1,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [2,4,1,8,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [7,3,8,6,1,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [3,5,1,7,8,2,6,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [5,4,7,8,2,1,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [6,3,8,7,1,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [8,6,4,7,1,5,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [3,4,6,2,1,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [4,5,7,2,1,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>5 [5,6,4,8,3,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,7,4,8,2,1,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [4,7,5,8,2,1,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [5,7,4,2,6,3,8,1]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,7,4,1,6,2,8,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [8,5,6,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [4,5,1,6,7,8,3,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [4,5,2,6,1,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [8,4,6,7,2,5,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [7,1,4,6,8,3,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [6,7,1,2,4,8,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [1,6,3,4,7,8,5,2]=>[[1,2,4,5,8],[3,7],[6]]=>6 [2,3,6,4,7,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>6 [7,8,1,3,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,8,2,6,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [4,7,3,2,8,1,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [7,1,2,6,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [8,1,2,6,3,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,1,2,7,6,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [4,8,7,3,1,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [4,7,8,3,1,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [7,4,3,1,6,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [7,4,3,1,8,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [3,7,6,2,4,8,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [4,3,7,2,8,6,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [6,1,2,7,4,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [5,1,2,6,3,8,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,1,2,7,3,8,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [6,1,2,7,3,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [7,5,3,2,1,8,6,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [4,2,1,5,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [8,6,4,3,2,1,9,7,5]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>4 [7,5,3,1,8,6,4,2,9]=>[[1,2,9],[3,4],[5,6],[7,8]]=>6 [7,4,1,8,5,2,9,6,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>7 [5,3,1,6,4,2,7,8,9]=>[[1,2,7,8,9],[3,4],[5,6]]=>7 [4,1,5,2,6,3,7,8,9]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [3,1,4,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [9,7,5,4,3,2,1,10,8,6]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>4 [7,5,3,1,8,6,4,2,9,10]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>7 [7,4,1,8,5,2,9,6,3,10]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>8 [5,3,1,6,4,2,7,8,9,10]=>[[1,2,7,8,9,10],[3,4],[5,6]]=>8 [5,1,6,2,7,3,8,4,9,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>9 [4,1,5,2,6,3,7,8,9,10]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9 [3,1,4,2,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [6,2,5,4,1,8,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [4,6,3,2,1,8,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [6,5,3,2,1,8,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [8,4,3,2,7,6,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [1,5,8,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [3,2,7,4,8,6,1,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [7,4,3,2,8,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [6,8,3,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [5,7,8,4,3,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [6,4,3,8,5,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [8,2,5,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [7,2,5,4,8,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [4,5,3,2,8,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,2,5,4,8,6,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,2,8,6,5,4,1,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [8,4,3,6,5,2,1,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [8,4,3,7,5,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [3,2,7,8,5,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [6,8,7,4,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6],[8]]=>3 [3,6,1,4,8,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [5,8,1,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [6,3,2,1,8,7,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [6,2,3,1,8,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [7,2,5,1,8,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [7,2,1,5,8,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [4,2,8,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [7,3,1,5,2,8,6,4]=>[[1,2,4],[3,5,6],[7,8]]=>5 [7,1,6,4,2,8,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [3,7,4,1,5,8,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [5,8,6,1,2,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [6,8,1,4,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [6,7,1,4,3,8,5,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [4,7,1,5,3,8,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [6,8,1,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,1,6,4,8,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [8,6,4,1,3,7,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [8,5,3,6,1,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [7,2,1,4,5,8,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [8,5,6,1,2,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [8,6,2,5,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [8,5,2,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,8,4,1,3,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [8,1,2,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>6 [6,1,4,3,2,7,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,8,3,6,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,2,8,3,7,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,9,2,3,4,5,6,7,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>9 [8,2,6,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [8,2,7,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [8,7,3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [4,6,7,2,1,8,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,7,1,8,2,5,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [4,5,8,6,1,3,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [4,5,8,6,2,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,6,7,1,5,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [4,6,7,2,1,8,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,2,5,6,7,8,3,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,1,3,5,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>6 [3,7,8,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [4,6,8,3,2,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,6,8,2,3,7,1,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [3,8,1,7,4,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [4,5,8,3,7,1,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [3,7,8,4,6,2,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [3,6,1,5,7,8,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [3,8,2,5,4,7,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [3,8,6,2,5,1,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [4,5,8,6,2,1,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,5,8,6,1,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [4,6,8,5,2,7,1,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [3,7,8,5,2,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [3,7,8,5,4,1,6,2]=>[[1,2,6],[3,4],[5,8],[7]]=>5 [4,6,8,5,3,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [7,8,2,3,5,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [4,6,5,2,7,8,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,6,5,1,7,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [5,7,3,1,2,4,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [6,3,2,5,1,7,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,1,2,4,8,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [6,3,1,7,2,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [3,6,5,8,1,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [1,2,3,4,5,6,7,9,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>9 [5,2,7,3,4,6,1,8]=>[[1,3,4,6,8],[2,7],[5]]=>5 [1,3,5,8,6,4,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,3,5,8,6,7,2,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [6,1,7,4,8,5,3,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [5,7,4,1,3,6,8,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [7,4,3,1,6,5,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [7,8,1,4,6,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [6,2,7,3,8,5,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [1,2,7,5,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [7,2,8,3,6,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [6,2,7,8,3,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,7,8,2,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,2,8,7,3,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [8,2,7,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [3,8,1,5,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [7,5,4,8,6,1,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,1,8,6,4,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [8,7,5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [6,8,4,3,1,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [8,4,1,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [4,8,1,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [2,1,6,8,5,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [1,2,6,8,5,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [5,6,8,7,3,1,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [6,7,5,3,8,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,8,5,7,3,1,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [5,1,4,2,6,8,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [6,3,2,4,7,1,8,5]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [1,5,8,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [5,1,8,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [5,8,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [5,7,6,3,8,1,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [6,8,7,5,3,1,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [1,2,5,3,6,8,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [6,8,7,2,1,5,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [7,3,6,1,4,8,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [8,7,3,2,1,4,6,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,3,5,1,7,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [3,5,6,8,4,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [5,8,2,6,4,3,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [2,8,6,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [1,7,2,3,5,8,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [2,8,3,7,5,1,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [6,4,8,7,2,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>4 [1,8,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [2,8,4,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [7,3,2,5,6,1,8,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [1,6,7,8,2,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [4,1,2,8,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [3,8,4,2,5,1,7,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [1,8,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [2,8,3,5,6,4,1,7]=>[[1,3,4,6,7],[2],[5],[8]]=>5 [7,6,8,3,2,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [2,7,1,4,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [1,5,2,7,4,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [6,5,8,7,1,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [5,7,6,8,2,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [1,3,6,5,2,7,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,7,2,5,6,8,3,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,7,2,4,8,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,6,2,4,5,3,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>6 [1,3,2,8,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,6,8,2,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [1,6,7,2,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [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]=>[[1,2,3,4,6],[5,8],[7]]=>6 [7,1,5,6,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [8,2,1,4,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [7,2,6,1,3,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [4,1,3,7,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [6,2,7,5,1,3,8,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [1,7,5,6,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [3,7,6,1,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [8,6,1,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,7,4,3,8,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [6,1,5,3,4,8,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [3,6,7,5,2,8,1,4]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [7,8,4,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [5,8,1,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [2,8,4,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [3,8,4,6,7,1,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [6,3,8,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [1,2,5,4,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [7,1,3,8,2,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [8,1,3,7,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,5,4,7,8,1,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [8,3,1,4,7,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [1,6,4,7,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [5,2,3,6,7,8,1,4]=>[[1,3,4,7,8],[2,6],[5]]=>6 [6,2,7,3,8,5,1,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [1,3,7,8,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [8,2,6,7,5,1,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [8,1,7,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [2,5,8,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [4,5,8,7,1,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,1,8,5,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,8,7,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [2,6,5,4,1,8,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [6,2,5,1,4,8,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [6,5,4,1,3,8,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [6,3,5,4,2,8,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [1,3,8,7,4,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,7,4,3,1,5,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [8,2,5,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [3,8,4,5,1,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [8,5,4,1,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [8,3,1,7,5,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,4,7,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [8,1,4,5,7,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [2,4,1,8,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,2,1,4,7,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [8,3,1,7,4,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,2,7,3,1,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [1,8,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [3,1,2,8,7,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,5,1,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [2,8,3,7,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,4,5,7,6,2,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [2,3,1,8,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [4,2,8,7,3,1,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [1,3,4,8,7,2,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [8,1,3,4,6,7,2,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,4,8,2,6,7,1,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,6,8,2,5,1,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [3,8,2,5,7,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [8,4,2,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [8,2,7,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [6,2,8,5,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [6,8,5,4,1,7,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [2,8,1,5,7,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [3,1,8,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,5,7,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [2,8,4,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,4,7,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [1,8,4,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [3,5,8,1,7,4,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [8,4,7,1,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [2,3,4,7,6,8,1,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [3,8,1,2,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [8,5,2,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [4,8,1,6,5,2,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [4,2,6,3,8,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>4 [4,5,2,6,7,1,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [8,3,5,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [2,8,6,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [3,1,8,6,5,2,7,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [8,3,1,5,2,6,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [7,2,6,8,4,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [6,5,3,2,4,8,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [5,2,4,6,1,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [7,2,3,4,6,8,1,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [8,3,4,6,7,5,1,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [6,8,3,4,7,5,2,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [5,8,6,1,3,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [4,8,1,5,7,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [3,7,4,6,8,2,5,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [4,7,1,6,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [4,5,2,8,1,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [3,7,5,2,8,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [4,8,5,2,6,7,1,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [5,4,8,6,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [8,4,6,5,2,7,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [8,1,6,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [5,2,7,6,4,8,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [8,6,2,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,5,7,4,1,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [7,2,4,5,6,8,1,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [7,1,3,5,6,2,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [7,1,5,8,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,3,8,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [7,1,4,3,2,8,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [5,3,6,1,4,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [5,7,2,1,4,3,8,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [7,1,8,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [7,2,4,8,1,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [7,1,8,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [6,4,2,5,8,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [2,1,7,5,8,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [7,3,8,5,6,2,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [2,7,4,8,1,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [7,4,8,3,1,5,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [6,1,5,8,3,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [2,6,3,5,8,7,4,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [8,6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [4,8,5,3,7,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [7,4,8,6,5,3,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [7,4,8,5,6,3,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [7,8,4,1,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,8,3,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [7,3,1,8,2,5,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [7,2,3,8,1,5,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [6,4,8,7,3,2,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [2,7,4,8,6,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [6,4,8,2,3,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [7,2,1,8,3,5,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [5,1,6,3,8,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [7,3,6,2,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [7,5,4,8,1,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [3,5,6,8,1,4,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [4,3,5,8,2,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [6,4,7,2,3,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,8,1,5,4,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [7,8,6,3,1,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,8,6,3,5,1,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,2,8,5,4,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [6,1,8,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [5,6,4,3,7,1,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [6,5,3,7,2,4,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,6,2,8,4,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [7,1,3,6,5,8,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [4,6,2,7,8,3,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [5,1,2,4,6,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>6 [4,6,3,5,2,8,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [5,6,3,4,8,2,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,2,6,4,1,7,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,8,4,6,3,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,4,3,8,6,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,7,8,2,4,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [5,6,2,4,8,3,7,1]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [6,4,7,8,2,3,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [3,7,5,2,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [4,7,5,2,3,8,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [6,4,7,3,2,5,8,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [5,7,3,2,8,4,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,3,7,2,8,4,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [4,3,7,2,5,8,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,7,3,2,5,8,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,7,3,2,6,8,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [7,5,3,2,6,4,8,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [8,5,2,6,7,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [8,4,2,6,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [7,4,6,2,3,8,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [7,5,6,2,8,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [5,7,6,2,8,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [4,7,6,2,3,8,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [7,6,3,2,5,8,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [7,6,4,2,5,8,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [6,3,8,5,4,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [1,3,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>8 [1,3,2,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>9 [2,4,6,3,8,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,4,3,6,8,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,4,6,3,8,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,4,6,5,8,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [2,4,6,8,5,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,4,6,8,5,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [2,4,6,8,3,7,1,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,4,6,8,1,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,6,5,8,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,4,6,5,8,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [2,4,6,8,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [2,4,6,8,7,3,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,4,6,8,7,1,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,4,6,8,7,1,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [2,4,6,8,5,1,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,6,5,1,8,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [2,4,6,5,3,8,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,4,6,5,8,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,4,6,8,5,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,4,6,8,7,3,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,4,6,8,7,5,1,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [4,8,7,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [6,1,4,7,5,8,2,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,8,6,5,3,2,7,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [1,6,3,5,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [4,6,1,7,8,5,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [6,1,2,7,8,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,1,3,2,7,8,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [5,6,3,1,7,4,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [4,8,3,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [8,7,2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>2 [5,8,3,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [5,4,3,8,1,7,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [6,5,3,8,7,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>4 [4,3,8,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [4,8,2,7,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [7,8,2,6,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [3,8,7,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [4,8,3,7,2,1,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [8,6,3,1,7,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [8,6,3,7,1,5,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [4,8,3,7,6,2,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [5,8,2,7,6,4,1,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [8,4,2,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [1,6,4,2,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [1,8,6,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,6,3,2,4,5,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>6 [1,5,2,6,4,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [1,5,2,4,6,3,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6 [1,8,6,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,5,2,8,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,3,6,8,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,4,3,8,2,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,7,2,3,8,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,3,8,4,2,5,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,6,2,8,5,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,7,2,3,8,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,5,3,8,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [1,4,8,2,5,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,5,7,3,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,2,7,3,6,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,7,2,3,6,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,4,8,3,2,5,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,7,2,5,8,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [6,2,3,5,8,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [5,2,4,8,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [2,6,4,5,7,3,1,8]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [2,5,6,3,4,7,1,8]=>[[1,3,4,7,8],[2,6],[5]]=>6 [1,3,7,5,6,8,4,2]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [1,3,6,7,4,5,8,2]=>[[1,2,4,5,8],[3,7],[6]]=>6 [1,5,6,3,4,2,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,5,3,6,4,2,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,5,3,7,4,6,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,5,7,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [6,7,3,1,8,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [4,6,3,5,8,2,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [7,4,5,2,1,8,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [4,7,5,2,1,8,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [8,5,3,6,2,1,7,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [4,5,7,3,1,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [4,5,1,8,3,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [5,7,4,6,3,2,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,6,1,2,4,8,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [7,5,2,3,1,8,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [6,3,1,2,4,8,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [4,7,5,2,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [7,2,6,5,3,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [8,2,6,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [6,2,8,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [2,3,1,7,8,5,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>5 [3,7,8,5,1,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [4,5,3,8,2,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [3,7,2,1,8,4,6,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [8,7,1,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [3,5,7,8,2,4,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [7,8,2,5,4,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [4,5,3,7,8,2,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [1,5,4,7,3,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [1,7,3,6,8,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [4,6,8,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [4,7,6,3,5,1,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [7,8,3,6,1,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [2,5,7,8,4,6,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [3,7,5,6,2,1,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [6,2,1,7,4,5,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>5 [1,2,6,4,7,5,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [7,5,6,3,8,4,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [8,5,4,2,1,6,7,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [2,6,8,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [6,7,5,1,4,8,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [7,4,1,6,5,3,8,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [5,8,2,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [1,6,5,7,3,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,5,6,8,4,2,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [7,5,4,1,8,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [6,4,1,8,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [7,8,5,3,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [8,2,5,1,7,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [6,7,4,3,8,2,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [3,4,2,7,8,6,1,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [7,8,6,1,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [2,4,7,8,6,1,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [3,7,8,6,5,2,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [4,5,2,7,8,6,3,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [4,6,2,5,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,1,5,6,3,2,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [2,6,7,5,4,1,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [4,1,6,7,5,3,2,8]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [6,7,4,3,1,5,2,8]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [1,7,5,6,4,3,2,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [7,6,5,3,1,8,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [7,8,6,4,3,1,5,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [4,1,7,8,6,5,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [4,5,7,3,8,6,1,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [6,8,5,3,7,2,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [4,7,1,5,8,2,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [2,7,5,8,3,6,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [7,4,8,2,6,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [7,5,4,8,2,6,3,1]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [4,3,8,1,6,5,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [2,3,6,5,7,8,1,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [8,3,4,1,2,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [7,3,4,8,5,2,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,3,8,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [7,2,4,5,1,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [7,3,1,2,8,5,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [4,8,2,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,5,2,3,8,6,7,1]=>[[1,3,6,7],[2,5,8],[4]]=>5 [6,7,4,8,5,3,2,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [4,3,5,6,1,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,5,2,6,4,7,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [4,1,2,8,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [3,1,5,6,4,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [3,1,4,6,7,5,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [2,6,4,5,8,1,3,7]=>[[1,3,5,7],[2,4,8],[6]]=>4 [6,4,1,3,5,8,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [3,4,1,7,2,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [2,4,7,5,8,1,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [3,7,6,2,1,5,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [4,2,6,1,3,7,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [8,5,4,2,7,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [2,8,4,6,7,1,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [5,8,2,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [8,4,6,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [5,6,2,8,7,1,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [7,1,3,8,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,8,1,4,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [3,6,7,2,8,1,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [2,6,7,1,3,5,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [3,6,7,1,8,2,5,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [3,4,1,8,7,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [3,1,5,7,2,8,6,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [4,8,1,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [4,1,8,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [3,8,2,4,7,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,2,4,8,7,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,2,5,7,1,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [4,2,8,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [4,8,2,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [4,2,8,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,3,4,6,8,7,1,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [5,6,4,7,1,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [4,6,7,5,8,2,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,5,7,1,6,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [3,2,7,6,8,1,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [4,5,1,7,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [6,7,2,8,3,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [7,6,3,1,2,8,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,2,7,8,4,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [7,8,5,2,4,1,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,6,2,3,1,8,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [4,2,5,1,3,7,8,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [3,4,1,7,8,5,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [4,1,3,7,8,5,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [4,3,1,8,5,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [7,6,3,5,8,4,2,1]=>[[1,4,8],[2],[3],[5],[6],[7]]=>3 [4,5,1,3,2,7,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [5,1,3,2,4,7,8,6]=>[[1,2,4,6,8],[3,7],[5]]=>5 [8,3,5,6,1,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [4,5,8,1,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,3,6,7,8,2,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [1,3,4,8,6,2,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [7,2,4,1,3,8,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [4,6,8,2,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [4,5,7,2,3,6,1,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [6,7,2,3,4,8,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [3,5,2,4,6,7,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [4,2,6,3,5,7,8,1]=>[[1,3,5,7,8],[2,6],[4]]=>5 [1,4,8,5,6,2,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [2,8,7,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [1,3,8,5,2,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [7,2,8,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [8,6,2,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [1,6,4,3,2,7,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [8,5,3,2,1,6,7,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [1,7,5,2,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [7,1,5,2,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [8,1,2,5,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [8,4,1,6,3,7,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [6,7,5,3,8,2,1,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,2,6,8,3,7,1,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [4,2,5,8,6,7,1,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [5,8,6,3,4,1,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [2,4,7,8,5,1,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,5,3,8,4,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [2,4,8,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [8,1,7,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [1,3,8,2,4,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,3,7,2,4,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,7,3,2,4,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,8,3,7,4,2,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [8,7,3,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [2,8,4,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [3,2,8,7,4,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [3,2,1,7,4,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [3,2,6,5,1,7,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [5,3,2,6,7,1,8,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [3,2,8,6,7,4,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [8,4,6,2,7,3,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [4,3,8,6,7,2,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,3,6,2,8,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [3,8,4,7,6,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [7,8,4,2,6,3,5,1]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [3,2,7,8,6,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [3,2,7,5,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [5,7,8,6,3,2,4,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [6,5,4,2,1,7,8,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [5,4,2,1,7,6,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [4,1,6,5,2,7,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [5,4,1,6,7,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [6,8,5,3,1,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [5,2,6,3,8,7,1,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [8,6,1,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,8,3,6,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,6,3,5,2,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,5,7,3,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [5,1,3,7,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [8,1,6,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [6,1,4,8,2,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [6,2,4,8,3,7,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [8,7,2,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,1,7,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [7,1,5,6,8,2,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [6,7,1,5,2,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [7,6,1,5,2,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [7,1,6,3,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [1,6,7,3,5,4,8,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,7,3,5,6,8,4,2]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [1,7,8,3,6,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,8,7,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,2,7,4,6,5,1,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,8,5,7,6,4,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [7,4,5,1,6,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [4,1,7,5,6,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [5,6,7,4,3,1,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [6,7,8,5,3,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [1,4,6,2,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [1,6,3,2,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,6,8,2,5,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,5,4,2,6,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [1,2,6,4,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>6 [1,6,8,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [1,7,4,3,2,6,8,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [1,5,4,7,2,6,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [1,3,7,6,2,8,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,7,6,2,8,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,5,2,8,4,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,2,8,4,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,2,8,5,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,7,3,5,2,8,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [1,6,7,2,5,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [1,5,8,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [1,4,5,8,2,6,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,7,6,4,8,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [1,4,8,6,5,2,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,3,8,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,7,6,3,8,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,5,2,7,6,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [1,2,4,3,8,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,4,3,8,7,2,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [1,3,8,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,3,8,5,4,2,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,7,2,4,8,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,6,5,3,2,8,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [1,3,2,8,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,2,8,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [8,1,3,4,6,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [8,3,1,4,6,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [5,8,3,1,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [4,8,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [4,8,1,7,5,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [8,5,1,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,4,1,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [8,5,3,2,1,6,4,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,1,5,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,5,2,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [4,8,7,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [4,8,7,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [7,6,8,4,1,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [7,6,8,4,1,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [3,8,7,5,4,1,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [4,8,2,7,5,1,3,6]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [7,6,8,4,1,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [8,7,6,1,5,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [7,1,4,8,6,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,1,6,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [8,6,2,5,3,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [8,6,5,1,3,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [8,7,5,1,3,6,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [8,7,1,5,3,6,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [8,6,1,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [7,1,4,8,3,6,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [7,8,5,2,4,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,3,8,2,5,4,6,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [8,4,2,5,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [4,8,1,5,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [7,4,8,2,6,3,5,1]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [7,4,8,2,6,3,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [8,7,3,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,7,3,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,7,3,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,4,3,2,7,5,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [6,4,1,7,8,5,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [7,6,3,4,1,8,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [8,7,3,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [7,8,6,4,2,5,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [7,8,2,4,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [8,1,7,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,7,5,2,4,6,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,1,7,5,4,6,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,7,3,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [5,3,1,7,6,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [1,8,6,4,2,9,7,5,3]=>[[1,2,3],[4,5],[6,7],[8,9]]=>6 [7,5,3,2,1,6,4,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [7,6,5,3,1,4,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [1,8,6,4,3,2,7,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [1,8,7,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [1,9,8,6,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8],[9]]=>5 [1,10,8,6,4,2,9,7,5,3]=>[[1,2,3],[4,5],[6,7],[8,9],[10]]=>6 [8,4,6,7,5,3,2,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>3 [1,4,8,6,7,5,3,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [7,6,2,5,8,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [1,7,3,6,8,5,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [8,6,2,5,7,4,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [7,1,3,6,8,5,4,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [1,8,3,6,7,5,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [8,1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [7,1,8,6,4,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [1,6,2,7,4,5,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,8,2,6,4,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [1,7,2,6,4,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [1,7,2,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [6,5,7,2,8,3,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [6,2,7,5,8,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,7,2,5,8,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [6,5,7,3,8,1,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,3,7,4,8,2,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [6,3,7,4,8,1,5,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [6,7,5,1,4,3,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [7,8,5,1,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [7,2,1,5,3,8,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [5,8,2,7,6,1,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [5,1,8,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,2,3,6,7,1,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [4,2,3,1,5,8,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [3,1,2,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>9 [2,4,8,7,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [2,6,8,7,5,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [2,6,5,1,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [6,5,1,2,4,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [4,6,5,3,1,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [4,8,7,5,3,1,2,6]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [4,6,8,7,5,3,1,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [6,8,7,5,3,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [8,7,5,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [8,7,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [2,1,4,8,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [4,8,7,3,1,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [8,7,3,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,7,3,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [2,8,7,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [2,8,7,3,6,5,1,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [2,8,7,1,6,5,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,7,1,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [8,7,1,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [2,1,8,7,3,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,7,5,1,2,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [2,8,7,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [2,8,7,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,8,7,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [2,4,8,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,8,7,3,1,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,4,3,1,8,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,3,1,2,6,8,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [2,8,7,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [2,8,7,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [2,8,7,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [2,8,7,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [2,6,8,7,5,1,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [6,8,7,5,1,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [8,7,5,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,7,1,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [2,4,8,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [4,8,7,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,7,5,3,1,2,6,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [8,7,5,3,6,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [8,7,1,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,7,3,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [7,1,2,3,5,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,9,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [7,1,2,6,4,5,3,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [7,1,2,4,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>6 [1,9,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>6 [1,10,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [4,7,3,6,5,1,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [7,5,4,2,8,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [3,1,6,8,5,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [5,7,2,1,8,4,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [7,2,8,6,4,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [6,3,8,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [7,6,3,2,8,4,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [8,6,1,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [5,8,3,7,4,2,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [4,1,7,3,5,8,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>5 [8,4,7,3,5,2,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [5,4,8,1,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [4,5,8,2,1,3,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [8,1,3,5,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [1,8,3,5,7,2,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [8,1,4,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,3,4,5,6,7,8,2,9]=>[[1,2,4,5,6,7,8,9],[3]]=>8 [2,1,4,5,6,7,8,3,9]=>[[1,3,5,6,7,8,9],[2,4]]=>7 [1,3,4,5,6,7,8,9,2,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>9 [1,5,7,3,6,8,2,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [8,4,6,2,5,7,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [1,3,4,7,6,8,2,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [8,1,3,6,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,2,4,7,8,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [3,1,4,7,6,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [4,1,3,7,6,8,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [5,1,7,3,6,8,2,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [6,7,8,2,4,5,1,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [5,8,6,2,4,7,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [3,8,2,6,5,7,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [2,8,3,6,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [8,7,2,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [8,7,1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [1,8,2,7,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [3,8,1,7,5,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [5,8,6,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [6,7,1,2,8,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [2,1,3,8,6,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,1,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [1,3,2,8,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [3,4,1,7,6,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [2,5,7,1,8,4,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [3,5,7,1,6,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [4,5,7,6,1,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [5,4,7,6,8,3,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [1,5,7,8,6,3,2,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [8,4,6,7,5,2,1,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [8,3,7,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [1,4,8,6,7,3,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [2,4,8,6,7,3,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [5,2,7,8,6,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [2,3,8,7,5,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [1,3,8,7,5,4,2,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [8,2,7,6,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [8,1,7,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [4,1,8,6,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [4,8,7,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [1,5,8,4,3,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [8,1,7,2,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [8,1,3,5,2,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [2,7,1,5,4,8,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [8,6,2,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [2,4,1,6,7,5,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [8,1,4,5,6,3,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [8,1,4,5,6,2,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [8,1,4,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [2,5,1,7,8,6,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [3,5,6,2,8,7,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [2,4,5,1,7,6,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [7,3,1,5,6,4,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [8,3,2,5,6,7,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [8,4,5,3,7,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [3,4,5,6,2,8,1,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,7,4,2,8,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,3,4,1,6,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [2,6,3,1,4,7,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [7,2,1,6,3,4,8,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [7,3,4,1,6,5,8,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [3,7,4,2,5,8,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [2,3,5,1,4,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,7,1,3,6,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,7,1,3,8,4,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [3,8,7,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [3,8,7,1,4,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [3,7,4,2,1,8,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [4,8,5,7,2,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [8,4,5,7,3,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [8,3,7,2,4,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [8,6,7,2,1,4,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [8,3,7,5,1,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [7,3,4,6,2,1,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [3,7,4,6,1,5,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [3,4,7,6,1,2,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [4,5,8,7,6,1,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [8,7,3,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,5,2,7,6,1,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,4,2,5,1,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,5,3,1,6,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [8,7,3,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [8,5,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [7,6,3,8,1,4,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,4,8,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7,8]]=>4 [8,5,3,1,6,4,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [8,7,5,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [8,6,4,1,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [8,7,4,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [6,5,3,7,4,2,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [1,6,3,8,4,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [4,7,2,5,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [1,8,3,4,5,2,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [1,8,6,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,2,6,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [7,8,3,4,6,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [4,8,7,5,3,1,6,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [6,1,4,8,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [4,1,8,5,3,2,6,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,1,6,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [3,1,7,4,2,5,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [1,2,7,4,3,5,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>6 [6,1,8,5,2,4,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [6,8,2,5,1,4,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [4,5,2,1,6,8,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [7,2,8,6,5,1,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [7,4,8,6,1,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [8,7,2,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [1,7,8,6,2,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,6,3,1,2,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [8,5,3,1,2,4,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,2,1,6,5,3,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [3,8,1,5,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [6,8,4,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [3,2,8,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [5,2,1,3,7,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>5 [5,4,1,2,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [5,8,4,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [7,1,2,5,3,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,6,7,3,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,8,6,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,5,3,7,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,4,6,2,8,5,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [1,5,6,2,8,4,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [1,2,5,7,4,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [3,5,8,6,1,7,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,3,7,1,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,6,1,7,8,5,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [4,8,3,1,6,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [1,6,8,5,4,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,5,8,4,2,1,7,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [1,7,8,6,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [6,8,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [3,6,4,2,5,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [2,1,5,8,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [4,2,8,5,6,3,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [5,7,2,3,4,6,8,1]=>[[1,3,4,6,8],[2,7],[5]]=>5 [1,8,7,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [5,7,1,2,3,8,6,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [7,8,6,2,4,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,2,8,4,6,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,4,6,2,8,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [7,1,5,8,2,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [7,6,4,8,2,1,5,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [6,1,8,4,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [7,3,6,2,1,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [1,8,6,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [5,6,2,1,8,4,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [5,1,6,4,3,8,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [5,4,6,8,1,3,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [3,7,1,6,4,5,8,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [3,5,2,1,4,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [1,3,8,7,5,4,6,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [6,7,3,4,8,5,1,2]=>[[1,2,5],[3,4,8],[6,7]]=>6 [7,4,1,8,2,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [3,1,7,2,5,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [4,1,5,7,3,2,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [6,4,1,7,2,8,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [7,3,1,6,2,8,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [4,8,2,5,3,1,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [5,1,3,4,8,2,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [6,1,4,5,7,8,2,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [6,3,4,7,1,8,5,2]=>[[1,2,5,8],[3,4],[6,7]]=>6 [7,1,3,4,5,6,8,2]=>[[1,2,4,5,6,8],[3],[7]]=>6 [8,5,2,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [1,8,3,5,6,2,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [8,3,2,5,6,1,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [4,2,5,1,6,8,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [5,4,2,7,8,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [6,8,7,2,1,3,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [3,7,6,8,5,2,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [1,7,8,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [7,6,1,2,5,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,6,2,4,8,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [1,5,7,3,8,6,2,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [6,7,5,1,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [7,6,1,2,4,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [6,7,2,1,5,3,8,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [4,3,2,8,7,1,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [4,8,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [5,3,8,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [5,8,7,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [5,3,8,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [3,8,7,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [7,4,1,8,6,5,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [5,4,2,8,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [5,8,4,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [5,8,4,7,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [5,4,8,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>3 [8,5,6,1,4,7,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [6,7,4,1,2,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,6,7,4,2,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [3,6,7,5,8,1,2,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [1,6,7,5,8,3,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [3,8,6,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [5,2,1,6,8,4,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [6,5,8,7,4,2,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [6,8,5,7,4,2,1,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [4,7,5,3,6,1,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [4,7,5,3,1,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [2,7,5,3,6,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [2,7,5,6,3,8,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [8,7,5,3,1,4,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [2,7,5,3,1,4,8,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [5,1,6,3,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [5,7,6,1,8,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [3,8,7,2,1,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [6,1,7,2,8,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [3,7,6,2,8,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [6,1,7,3,8,5,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [7,1,8,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [2,7,8,3,1,5,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>5 [5,8,6,2,7,4,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [2,4,6,7,8,5,1,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,4,6,7,8,3,1,5]=>[[1,3,5,7,8],[2,6],[4]]=>5 [4,7,6,2,8,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [5,8,7,3,2,4,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [4,6,5,8,7,3,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [8,3,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [4,5,1,2,8,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [5,6,1,2,8,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,8,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [6,3,1,4,8,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [8,5,6,1,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [7,5,6,1,3,8,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [5,7,6,1,3,8,4,2]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [6,7,1,4,2,8,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [2,1,6,4,8,3,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [1,5,7,8,4,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [1,3,6,4,2,5,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>6 [1,4,5,7,8,3,6,2]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,5,7,8,3,6,2,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [1,5,7,8,2,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [6,8,4,7,3,2,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [6,8,5,4,2,7,1,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [1,8,4,6,3,2,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [6,4,8,5,3,2,1,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [3,5,6,1,4,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [1,6,3,8,4,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [7,1,3,2,4,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [2,6,5,7,8,3,1,4]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [4,1,8,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [3,6,7,8,2,1,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [4,2,8,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [6,3,8,7,2,4,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [7,6,1,8,2,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [2,5,6,3,4,8,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [5,2,4,7,8,6,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [7,2,1,3,4,8,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [8,1,6,2,3,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [6,1,4,2,5,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [1,8,3,4,5,2,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,8,3,6,4,7,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,4,7,2,5,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [7,3,5,8,2,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [3,4,8,2,5,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [1,7,2,5,8,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [1,4,6,7,8,3,5,2]=>[[1,2,5,7,8],[3,6],[4]]=>5 [4,1,5,3,6,8,7,2]=>[[1,2,6,7],[3,5,8],[4]]=>5 [5,8,7,4,6,2,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [1,6,8,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [7,2,1,8,6,4,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [2,4,7,8,5,6,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [2,6,3,8,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [4,3,6,5,1,8,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>4 [1,5,6,8,7,3,2,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [1,4,8,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,3,8,6,4,7,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [4,1,7,6,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [1,8,4,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [7,2,3,8,4,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>6 [5,8,4,3,7,2,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [6,1,2,8,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [4,5,1,7,6,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [6,5,1,8,7,4,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [7,5,1,8,6,4,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [8,5,1,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [8,5,3,7,6,1,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [3,8,7,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [8,3,7,5,4,1,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [4,5,3,1,8,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [3,4,8,1,5,2,6,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [8,6,5,7,1,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [1,5,8,6,2,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [3,1,8,5,7,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [6,8,5,3,4,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [8,5,2,6,4,3,1,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,5,2,6,1,4,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [2,7,5,8,1,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [3,2,6,7,1,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,4,6,7,8,2,1,5]=>[[1,4,5,7,8],[2,6],[3]]=>5 [3,2,6,7,8,4,1,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [6,2,7,4,8,5,1,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,7,1,3,8,5,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [6,7,1,8,5,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [1,6,7,4,8,3,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,4,6,7,8,3,2,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [8,7,2,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [2,7,4,8,6,5,3,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [7,6,5,2,4,1,8,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [7,6,4,3,1,5,8,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [6,1,8,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,6,1,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [3,6,8,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [2,8,6,1,4,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [6,8,7,2,5,4,1,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [3,5,7,9,1,2,4,6,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>6 [4,1,2,3,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>9 [5,1,2,3,4,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>9 [8,1,2,3,4,5,6,7,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>9 [7,1,2,3,4,5,6,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>9 [6,1,2,3,4,5,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>9 [3,1,2,4,5,6,7,8,9,10,11,12]=>[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>11 [4,7,1,8,6,5,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [4,3,6,8,7,2,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,1,8,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [3,8,1,5,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [7,5,6,4,1,3,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [7,8,6,4,1,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [7,1,4,2,5,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [7,3,2,1,4,6,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [7,6,1,4,3,2,5,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [7,4,1,3,5,6,2,8]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [2,7,1,3,5,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [3,6,2,1,5,8,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [2,3,6,1,5,8,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>4 [3,4,7,1,5,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,6,7,4,1,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [4,3,2,7,1,6,8,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [7,3,2,8,1,6,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,4,8,1,5,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [2,6,8,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [6,8,2,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [4,8,2,5,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,5,8,2,3,6,7,1]=>[[1,3,6,7],[2,5,8],[4]]=>5 [2,4,8,5,3,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [5,3,2,6,4,8,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [2,4,5,3,8,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,3,5,2,8,6,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,8,5,3,2,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [3,5,4,2,8,6,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,1,2,7,5,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [5,6,7,4,2,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [2,5,7,4,6,8,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [7,5,2,4,3,8,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [6,8,1,2,5,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [6,4,1,8,5,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [2,6,1,8,5,4,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [7,1,2,8,5,6,4,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [4,3,2,6,8,5,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [3,7,6,4,8,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [3,1,6,8,5,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [2,3,5,8,4,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>5 [3,5,2,8,4,6,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,4,5,8,2,6,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [5,4,2,8,3,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,3,4,8,2,6,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [2,5,4,8,3,6,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [6,3,2,5,8,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [6,1,8,3,5,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [5,4,8,3,2,6,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [5,8,2,3,4,6,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>5 [6,2,1,7,8,5,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [7,4,6,8,3,2,5,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [3,4,5,2,7,1,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>5 [7,5,6,1,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,5,7,6,3,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [8,4,6,7,3,2,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [8,4,6,2,3,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [7,5,2,1,4,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [3,1,7,8,5,4,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [3,4,5,2,1,8,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [7,6,4,8,3,1,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [7,4,8,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [6,2,8,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>4 [3,2,7,8,6,1,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [6,8,2,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [6,7,4,2,1,5,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [5,7,4,1,3,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [4,2,7,5,1,8,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [4,1,6,5,3,8,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [1,5,4,6,3,8,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [1,8,6,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [4,7,1,8,6,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [5,4,8,1,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [4,3,8,6,2,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [8,3,6,2,4,1,7,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [7,8,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,2,8,5,3,1,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [2,5,4,8,7,3,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [6,4,2,8,7,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [3,6,8,1,7,4,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [7,8,6,3,1,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [3,8,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [2,7,5,4,8,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [6,8,7,5,2,1,3,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [7,6,2,8,5,1,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [1,5,7,6,2,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [1,6,5,2,7,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [4,7,8,5,6,2,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [6,7,8,4,2,1,5,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [4,7,8,1,2,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>6 [8,6,4,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [6,1,4,7,2,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [6,7,8,3,5,4,2,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [5,6,3,2,7,4,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [2,6,4,3,7,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [7,2,3,6,1,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [3,4,6,5,7,1,2,8]=>[[1,2,5,7,8],[3,4],[6]]=>6 [8,5,2,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [8,5,7,2,4,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [7,4,8,2,1,5,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [2,3,6,7,8,5,1,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [8,3,7,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [8,2,1,7,6,5,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [6,5,1,2,8,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [5,6,8,1,3,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [1,6,8,5,3,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [5,8,1,6,7,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [7,2,8,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [6,2,7,4,3,8,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [1,7,8,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,1,8,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [8,1,6,5,4,7,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [4,1,6,8,7,3,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [5,1,4,6,7,3,8,2]=>[[1,2,6,7,8],[3],[4],[5]]=>5 [7,1,3,4,6,2,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [3,4,1,6,2,5,8,7,10,9]=>[[1,2,5,7,9],[3,4,6,8,10]]=>6 [8,7,1,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [1,4,7,5,8,6,3,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [6,1,8,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [1,8,6,3,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [4,7,1,6,8,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [3,6,5,2,8,4,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [7,1,8,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [1,4,8,7,5,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,5,6,4,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [5,8,7,4,2,1,3,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [1,8,7,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,2,5,4,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,2,4,8,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,5,2,4,7,3,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [8,6,3,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [8,5,3,2,1,4,7,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [1,2,7,6,8,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,6,3,2,5,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,7,3,4,2,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,6,3,5,8,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,5,6,3,2,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [1,2,5,8,4,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,5,3,2,7,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [4,1,8,6,2,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [7,5,8,6,2,3,4,1]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [1,8,5,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [1,4,7,3,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [1,6,3,5,7,8,4,2]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,5,6,3,2,7,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,2,7,6,8,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,8,4,7,5,3,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [6,8,5,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [1,2,6,8,4,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [5,3,7,2,6,4,1,8]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [7,6,2,5,3,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [7,6,2,4,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [7,6,2,4,3,5,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [7,6,2,3,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [8,4,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,7,6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [8,7,6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [8,7,6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [8,7,6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [8,6,2,7,1,5,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [5,3,7,2,8,1,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [8,3,5,4,2,1,6,7]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [7,8,4,3,1,5,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [8,7,6,1,2,5,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [8,7,6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [8,7,6,1,4,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [4,7,5,8,6,1,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [6,5,7,3,8,4,1,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [8,7,5,4,1,2,6,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,6,7,1,5,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [5,7,1,3,4,2,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [7,3,5,6,4,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [1,5,3,7,8,4,6,2]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,5,7,3,8,2,6,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [1,3,7,5,8,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [3,7,5,8,4,1,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [5,3,7,6,8,1,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [3,1,2,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [3,1,2,5,7,8,6,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [3,7,1,2,8,5,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>5 [5,3,1,7,4,6,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [2,4,7,3,5,6,1,8]=>[[1,3,5,6,8],[2,7],[4]]=>5 [5,7,6,4,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [7,4,8,2,5,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [5,8,2,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [6,1,4,8,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [3,4,5,8,1,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [5,6,8,4,7,3,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [3,1,6,8,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [2,3,8,1,5,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [5,4,8,1,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [4,1,8,2,3,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [5,2,3,8,1,7,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [1,5,3,8,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [8,6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [2,7,1,8,6,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [5,7,6,1,3,2,8,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [3,5,4,6,1,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [8,1,5,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [2,7,1,5,6,4,3,8]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [5,4,7,2,8,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [3,5,6,4,1,7,2,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [2,5,6,1,7,4,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,7,1,8,6,5,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [3,7,6,1,8,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [6,2,8,3,1,4,5,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [2,7,8,3,1,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [1,5,3,2,8,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,8,5,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [1,5,6,7,3,2,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,7,5,2,3,4,8,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,7,5,2,4,8,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [1,6,7,8,3,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,4,8,6,2,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,8,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,2,8,6,3,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [1,2,7,8,4,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,8,6,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,6,7,8,4,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [1,6,7,8,3,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,7,4,2,3,8,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,7,8,4,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,7,3,5,6,2,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [1,7,8,3,4,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,2,3,7,8,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,2,7,4,6,3,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,7,8,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [1,7,8,3,4,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,2,8,4,5,6,3,7]=>[[1,2,3,5,6,7],[4],[8]]=>6 [1,8,4,5,6,2,3,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [5,8,2,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [6,8,7,2,3,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [3,8,7,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [4,8,7,3,2,5,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [5,3,8,1,6,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [5,8,2,1,3,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [5,1,8,3,6,7,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [3,1,8,4,6,2,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [1,8,7,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [6,1,8,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [2,3,7,5,6,8,4,1]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [3,2,4,7,5,8,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [2,8,7,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [4,8,7,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [3,5,2,4,7,6,8,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [5,3,2,6,4,7,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,2,6,7,4,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,2,7,6,4,8,1]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [7,3,5,2,8,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [3,5,2,7,4,6,8,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,2,5,7,4,6,8,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,2,7,5,4,8,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [3,7,5,2,4,8,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [2,3,7,5,4,8,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [3,4,7,6,8,2,5,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [5,2,8,4,1,3,6,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [3,8,5,2,1,4,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [7,6,4,1,8,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [7,5,4,2,1,6,3,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [8,1,6,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [8,2,1,6,7,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [5,2,8,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [7,6,8,1,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [1,2,9,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [1,2,3,8,4,5,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [1,2,3,4,9,5,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [2,1,3,4,8,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [1,2,3,4,5,9,6,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>7 [7,1,2,3,4,8,5,9,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [6,9,1,2,3,4,8,5,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>6 [1,2,10,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [1,2,3,9,4,5,6,10,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [1,2,3,4,10,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [1,2,3,4,5,10,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>8 [1,2,3,4,5,6,9,10,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [8,1,2,3,4,5,9,6,10,7]=>[[1,2,3,4,5,6,7],[8,9,10]]=>9 [1,7,2,3,4,5,9,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>7 [7,10,1,2,3,4,5,9,6,8]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>7 [1,6,2,3,4,5,9,8,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>6 [5,7,1,2,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,5,2,3,6,8,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [3,5,7,4,1,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [8,6,4,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [2,8,4,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [3,8,4,6,1,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [8,3,5,6,1,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [6,8,7,3,5,4,2,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>3 [3,1,2,8,5,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [6,1,2,3,4,5,9,8,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>6 [4,1,2,3,9,6,8,5,7]=>[[1,2,3,5,7],[4,6,8],[9]]=>5 [7,3,1,2,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [8,3,5,7,2,1,4,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [2,1,3,8,5,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [2,1,9,4,6,8,3,5,7]=>[[1,3,5,7],[2,4,6,8],[9]]=>4 [7,3,1,2,8,4,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [2,1,4,7,6,3,5,8]=>[[1,3,5,8],[2,4,6],[7]]=>4 [7,2,4,5,3,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [8,4,2,5,6,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [5,4,1,6,3,7,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [4,5,1,3,6,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [5,1,7,6,3,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [6,1,7,5,4,8,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [3,7,2,1,6,8,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [1,5,8,2,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [5,8,1,6,4,7,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [3,8,6,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [6,8,1,4,7,3,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [1,6,8,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [5,7,2,1,8,4,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [5,7,1,6,8,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [5,6,2,1,8,3,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [6,4,1,7,3,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [8,2,5,6,7,1,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [7,2,4,6,8,3,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [6,2,4,7,8,1,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [6,1,4,3,2,8,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [2,7,4,8,6,1,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [2,4,8,6,5,7,3,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [3,7,8,6,4,2,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [6,2,8,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [1,4,7,2,6,8,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [4,2,8,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [6,5,8,1,4,2,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [2,3,8,4,1,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [4,5,7,3,1,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>5 [5,1,8,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [2,4,8,7,5,1,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [3,5,7,6,1,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [3,5,7,6,2,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [1,5,3,2,8,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [6,1,4,3,8,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [6,3,1,8,7,4,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [5,3,6,2,8,7,4,1]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [6,3,5,2,1,8,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [2,8,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [3,8,1,4,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [6,2,3,8,7,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [3,4,7,5,8,1,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [2,7,8,3,4,1,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [2,8,6,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [7,2,6,8,1,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [5,3,6,2,8,4,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [8,1,6,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [2,4,3,7,1,8,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [2,6,5,7,3,8,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [6,8,2,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [6,1,7,8,5,3,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [2,6,5,4,7,1,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [5,8,3,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [6,1,7,4,2,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [6,8,7,1,5,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [4,8,3,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [5,3,8,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [8,3,4,5,2,7,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [7,1,5,2,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [3,7,1,5,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [6,7,1,8,3,4,5,2]=>[[1,2,4,5],[3,7,8],[6]]=>6 [3,7,1,6,8,4,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [3,8,5,2,6,7,1,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [3,6,5,2,7,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [6,8,3,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [3,7,1,6,5,2,8,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [8,3,5,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,8,6,4,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [3,7,1,4,8,6,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [3,7,1,4,5,2,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [2,3,7,6,5,8,1,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [6,7,8,5,4,3,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [6,5,7,8,4,3,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [6,5,4,7,8,3,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [6,5,4,3,7,8,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [6,5,4,3,2,7,8,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [7,8,9,5,4,3,2,1,6]=>[[1,6,9],[2,8],[3],[4],[5],[7]]=>4 [7,8,9,6,5,4,3,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>4 [6,7,8,9,4,3,2,1,5]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>5 [7,6,8,9,5,4,3,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>4 [7,6,5,8,9,4,3,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>4 [7,6,5,4,8,9,3,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>4 [7,6,5,4,3,8,9,2,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>4 [6,5,4,3,2,7,8,9,1]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [7,6,5,4,3,2,8,9,1,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>4 [2,1,4,3,6,5,8,7,11,12,9,10]=>[[1,3,5,7,9,10],[2,4,6,8,11,12]]=>7 [2,1,4,3,6,5,9,10,7,8,12,11]=>[[1,3,5,7,8,11],[2,4,6,9,10,12]]=>7 [2,1,4,3,6,5,9,11,7,12,8,10]=>[[1,3,5,7,8,10],[2,4,6,9,11,12]]=>7 [2,1,4,3,6,5,10,11,12,7,8,9]=>[[1,3,5,7,8,9],[2,4,6,10,11,12]]=>8 [2,1,4,3,7,8,5,6,10,9,12,11]=>[[1,3,5,6,9,11],[2,4,7,8,10,12]]=>7 [2,1,4,3,7,8,5,6,11,12,9,10]=>[[1,3,5,6,9,10],[2,4,7,8,11,12]]=>8 [2,1,4,3,7,9,5,10,6,8,12,11]=>[[1,3,5,6,8,11],[2,4,7,9,10,12]]=>7 [2,1,4,3,7,9,5,11,6,12,8,10]=>[[1,3,5,6,8,10],[2,4,7,9,11,12]]=>7 [2,1,4,3,7,10,5,11,12,6,8,9]=>[[1,3,5,6,8,9],[2,4,7,10,11,12]]=>8 [2,1,4,3,8,9,10,5,6,7,12,11]=>[[1,3,5,6,7,11],[2,4,8,9,10,12]]=>8 [2,1,4,3,8,9,11,5,6,12,7,10]=>[[1,3,5,6,7,10],[2,4,8,9,11,12]]=>8 [2,1,4,3,8,10,11,5,12,6,7,9]=>[[1,3,5,6,7,9],[2,4,8,10,11,12]]=>8 [2,1,4,3,9,10,11,12,5,6,7,8]=>[[1,3,5,6,7,8],[2,4,9,10,11,12]]=>9 [2,1,5,6,3,4,8,7,10,9,12,11]=>[[1,3,4,7,9,11],[2,5,6,8,10,12]]=>7 [2,1,5,6,3,4,8,7,11,12,9,10]=>[[1,3,4,7,9,10],[2,5,6,8,11,12]]=>8 [2,1,5,6,3,4,9,10,7,8,12,11]=>[[1,3,4,7,8,11],[2,5,6,9,10,12]]=>8 [2,1,5,6,3,4,9,11,7,12,8,10]=>[[1,3,4,7,8,10],[2,5,6,9,11,12]]=>8 [2,1,5,6,3,4,10,11,12,7,8,9]=>[[1,3,4,7,8,9],[2,5,6,10,11,12]]=>9 [2,1,5,7,3,8,4,6,10,9,12,11]=>[[1,3,4,6,9,11],[2,5,7,8,10,12]]=>7 [2,1,5,7,3,8,4,6,11,12,9,10]=>[[1,3,4,6,9,10],[2,5,7,8,11,12]]=>8 [2,1,5,7,3,9,4,10,6,8,12,11]=>[[1,3,4,6,8,11],[2,5,7,9,10,12]]=>7 [2,1,5,7,3,9,4,11,6,12,8,10]=>[[1,3,4,6,8,10],[2,5,7,9,11,12]]=>7 [2,1,5,7,3,10,4,11,12,6,8,9]=>[[1,3,4,6,8,9],[2,5,7,10,11,12]]=>8 [2,1,5,8,3,9,10,4,6,7,12,11]=>[[1,3,4,6,7,11],[2,5,8,9,10,12]]=>8 [2,1,5,8,3,9,11,4,6,12,7,10]=>[[1,3,4,6,7,10],[2,5,8,9,11,12]]=>8 [2,1,5,8,3,10,11,4,12,6,7,9]=>[[1,3,4,6,7,9],[2,5,8,10,11,12]]=>8 [2,1,5,9,3,10,11,12,4,6,7,8]=>[[1,3,4,6,7,8],[2,5,9,10,11,12]]=>9 [2,1,6,7,8,3,4,5,10,9,12,11]=>[[1,3,4,5,9,11],[2,6,7,8,10,12]]=>8 [2,1,6,7,8,3,4,5,11,12,9,10]=>[[1,3,4,5,9,10],[2,6,7,8,11,12]]=>9 [2,1,6,7,9,3,4,10,5,8,12,11]=>[[1,3,4,5,8,11],[2,6,7,9,10,12]]=>8 [2,1,6,7,9,3,4,11,5,12,8,10]=>[[1,3,4,5,8,10],[2,6,7,9,11,12]]=>8 [2,1,6,7,10,3,4,11,12,5,8,9]=>[[1,3,4,5,8,9],[2,6,7,10,11,12]]=>9 [2,1,6,8,9,3,10,4,5,7,12,11]=>[[1,3,4,5,7,11],[2,6,8,9,10,12]]=>8 [2,1,6,8,9,3,11,4,5,12,7,10]=>[[1,3,4,5,7,10],[2,6,8,9,11,12]]=>8 [2,1,6,8,10,3,11,4,12,5,7,9]=>[[1,3,4,5,7,9],[2,6,8,10,11,12]]=>8 [2,1,6,9,10,3,11,12,4,5,7,8]=>[[1,3,4,5,7,8],[2,6,9,10,11,12]]=>9 [2,1,7,8,9,10,3,4,5,6,12,11]=>[[1,3,4,5,6,11],[2,7,8,9,10,12]]=>9 [2,1,7,8,9,11,3,4,5,12,6,10]=>[[1,3,4,5,6,10],[2,7,8,9,11,12]]=>9 [2,1,7,8,10,11,3,4,12,5,6,9]=>[[1,3,4,5,6,9],[2,7,8,10,11,12]]=>9 [2,1,7,9,10,11,3,12,4,5,6,8]=>[[1,3,4,5,6,8],[2,7,9,10,11,12]]=>9 [2,1,8,9,10,11,12,3,4,5,6,7]=>[[1,3,4,5,6,7],[2,8,9,10,11,12]]=>10 [3,4,1,2,6,5,8,7,10,9,12,11]=>[[1,2,5,7,9,11],[3,4,6,8,10,12]]=>7 [3,4,1,2,6,5,8,7,11,12,9,10]=>[[1,2,5,7,9,10],[3,4,6,8,11,12]]=>8 [3,4,1,2,6,5,9,10,7,8,12,11]=>[[1,2,5,7,8,11],[3,4,6,9,10,12]]=>8 [3,4,1,2,6,5,9,11,7,12,8,10]=>[[1,2,5,7,8,10],[3,4,6,9,11,12]]=>8 [3,4,1,2,6,5,10,11,12,7,8,9]=>[[1,2,5,7,8,9],[3,4,6,10,11,12]]=>9 [3,4,1,2,7,8,5,6,10,9,12,11]=>[[1,2,5,6,9,11],[3,4,7,8,10,12]]=>8 [3,4,1,2,7,8,5,6,11,12,9,10]=>[[1,2,5,6,9,10],[3,4,7,8,11,12]]=>9 [3,4,1,2,7,9,5,10,6,8,12,11]=>[[1,2,5,6,8,11],[3,4,7,9,10,12]]=>8 [3,4,1,2,7,9,5,11,6,12,8,10]=>[[1,2,5,6,8,10],[3,4,7,9,11,12]]=>8 [3,4,1,2,7,10,5,11,12,6,8,9]=>[[1,2,5,6,8,9],[3,4,7,10,11,12]]=>9 [3,4,1,2,8,9,10,5,6,7,12,11]=>[[1,2,5,6,7,11],[3,4,8,9,10,12]]=>9 [3,4,1,2,8,9,11,5,6,12,7,10]=>[[1,2,5,6,7,10],[3,4,8,9,11,12]]=>9 [3,4,1,2,8,10,11,5,12,6,7,9]=>[[1,2,5,6,7,9],[3,4,8,10,11,12]]=>9 [3,4,1,2,9,10,11,12,5,6,7,8]=>[[1,2,5,6,7,8],[3,4,9,10,11,12]]=>10 [3,5,1,6,2,4,8,7,10,9,12,11]=>[[1,2,4,7,9,11],[3,5,6,8,10,12]]=>7 [3,5,1,6,2,4,8,7,11,12,9,10]=>[[1,2,4,7,9,10],[3,5,6,8,11,12]]=>8 [3,5,1,6,2,4,9,10,7,8,12,11]=>[[1,2,4,7,8,11],[3,5,6,9,10,12]]=>8 [3,5,1,6,2,4,9,11,7,12,8,10]=>[[1,2,4,7,8,10],[3,5,6,9,11,12]]=>8 [3,5,1,6,2,4,10,11,12,7,8,9]=>[[1,2,4,7,8,9],[3,5,6,10,11,12]]=>9 [3,5,1,7,2,8,4,6,10,9,12,11]=>[[1,2,4,6,9,11],[3,5,7,8,10,12]]=>7 [3,5,1,7,2,8,4,6,11,12,9,10]=>[[1,2,4,6,9,10],[3,5,7,8,11,12]]=>8 [3,5,1,7,2,9,4,10,6,8,12,11]=>[[1,2,4,6,8,11],[3,5,7,9,10,12]]=>7 [3,5,1,7,2,9,4,11,6,12,8,10]=>[[1,2,4,6,8,10],[3,5,7,9,11,12]]=>7 [3,5,1,7,2,10,4,11,12,6,8,9]=>[[1,2,4,6,8,9],[3,5,7,10,11,12]]=>8 [3,5,1,8,2,9,10,4,6,7,12,11]=>[[1,2,4,6,7,11],[3,5,8,9,10,12]]=>8 [3,5,1,8,2,9,11,4,6,12,7,10]=>[[1,2,4,6,7,10],[3,5,8,9,11,12]]=>8 [3,5,1,8,2,10,11,4,12,6,7,9]=>[[1,2,4,6,7,9],[3,5,8,10,11,12]]=>8 [3,5,1,9,2,10,11,12,4,6,7,8]=>[[1,2,4,6,7,8],[3,5,9,10,11,12]]=>9 [3,6,1,7,8,2,4,5,10,9,12,11]=>[[1,2,4,5,9,11],[3,6,7,8,10,12]]=>8 [3,6,1,7,8,2,4,5,11,12,9,10]=>[[1,2,4,5,9,10],[3,6,7,8,11,12]]=>9 [3,6,1,7,9,2,4,10,5,8,12,11]=>[[1,2,4,5,8,11],[3,6,7,9,10,12]]=>8 [3,6,1,7,9,2,4,11,5,12,8,10]=>[[1,2,4,5,8,10],[3,6,7,9,11,12]]=>8 [3,6,1,7,10,2,4,11,12,5,8,9]=>[[1,2,4,5,8,9],[3,6,7,10,11,12]]=>9 [3,6,1,8,9,2,10,4,5,7,12,11]=>[[1,2,4,5,7,11],[3,6,8,9,10,12]]=>8 [3,6,1,8,9,2,11,4,5,12,7,10]=>[[1,2,4,5,7,10],[3,6,8,9,11,12]]=>8 [3,6,1,8,10,2,11,4,12,5,7,9]=>[[1,2,4,5,7,9],[3,6,8,10,11,12]]=>8 [3,6,1,9,10,2,11,12,4,5,7,8]=>[[1,2,4,5,7,8],[3,6,9,10,11,12]]=>9 [3,7,1,8,9,10,2,4,5,6,12,11]=>[[1,2,4,5,6,11],[3,7,8,9,10,12]]=>9 [3,7,1,8,9,11,2,4,5,12,6,10]=>[[1,2,4,5,6,10],[3,7,8,9,11,12]]=>9 [3,7,1,8,10,11,2,4,12,5,6,9]=>[[1,2,4,5,6,9],[3,7,8,10,11,12]]=>9 [3,7,1,9,10,11,2,12,4,5,6,8]=>[[1,2,4,5,6,8],[3,7,9,10,11,12]]=>9 [3,8,1,9,10,11,12,2,4,5,6,7]=>[[1,2,4,5,6,7],[3,8,9,10,11,12]]=>10 [4,5,6,1,2,3,8,7,10,9,12,11]=>[[1,2,3,7,9,11],[4,5,6,8,10,12]]=>8 [4,5,6,1,2,3,8,7,11,12,9,10]=>[[1,2,3,7,9,10],[4,5,6,8,11,12]]=>9 [4,5,6,1,2,3,9,10,7,8,12,11]=>[[1,2,3,7,8,11],[4,5,6,9,10,12]]=>9 [4,5,6,1,2,3,9,11,7,12,8,10]=>[[1,2,3,7,8,10],[4,5,6,9,11,12]]=>9 [4,5,6,1,2,3,10,11,12,7,8,9]=>[[1,2,3,7,8,9],[4,5,6,10,11,12]]=>10 [4,5,7,1,2,8,3,6,10,9,12,11]=>[[1,2,3,6,9,11],[4,5,7,8,10,12]]=>8 [4,5,7,1,2,8,3,6,11,12,9,10]=>[[1,2,3,6,9,10],[4,5,7,8,11,12]]=>9 [4,5,7,1,2,9,3,10,6,8,12,11]=>[[1,2,3,6,8,11],[4,5,7,9,10,12]]=>8 [4,5,7,1,2,9,3,11,6,12,8,10]=>[[1,2,3,6,8,10],[4,5,7,9,11,12]]=>8 [4,5,7,1,2,10,3,11,12,6,8,9]=>[[1,2,3,6,8,9],[4,5,7,10,11,12]]=>9 [4,5,8,1,2,9,10,3,6,7,12,11]=>[[1,2,3,6,7,11],[4,5,8,9,10,12]]=>9 [4,5,8,1,2,9,11,3,6,12,7,10]=>[[1,2,3,6,7,10],[4,5,8,9,11,12]]=>9 [4,5,8,1,2,10,11,3,12,6,7,9]=>[[1,2,3,6,7,9],[4,5,8,10,11,12]]=>9 [4,5,9,1,2,10,11,12,3,6,7,8]=>[[1,2,3,6,7,8],[4,5,9,10,11,12]]=>10 [4,6,7,1,8,2,3,5,10,9,12,11]=>[[1,2,3,5,9,11],[4,6,7,8,10,12]]=>8 [4,6,7,1,8,2,3,5,11,12,9,10]=>[[1,2,3,5,9,10],[4,6,7,8,11,12]]=>9 [4,6,7,1,9,2,3,10,5,8,12,11]=>[[1,2,3,5,8,11],[4,6,7,9,10,12]]=>8 [4,6,7,1,9,2,3,11,5,12,8,10]=>[[1,2,3,5,8,10],[4,6,7,9,11,12]]=>8 [4,6,7,1,10,2,3,11,12,5,8,9]=>[[1,2,3,5,8,9],[4,6,7,10,11,12]]=>9 [4,6,8,1,9,2,10,3,5,7,12,11]=>[[1,2,3,5,7,11],[4,6,8,9,10,12]]=>8 [4,6,8,1,9,2,11,3,5,12,7,10]=>[[1,2,3,5,7,10],[4,6,8,9,11,12]]=>8 [4,6,8,1,10,2,11,3,12,5,7,9]=>[[1,2,3,5,7,9],[4,6,8,10,11,12]]=>8 [4,6,9,1,10,2,11,12,3,5,7,8]=>[[1,2,3,5,7,8],[4,6,9,10,11,12]]=>9 [4,7,8,1,9,10,2,3,5,6,12,11]=>[[1,2,3,5,6,11],[4,7,8,9,10,12]]=>9 [4,7,8,1,9,11,2,3,5,12,6,10]=>[[1,2,3,5,6,10],[4,7,8,9,11,12]]=>9 [4,7,8,1,10,11,2,3,12,5,6,9]=>[[1,2,3,5,6,9],[4,7,8,10,11,12]]=>9 [4,7,9,1,10,11,2,12,3,5,6,8]=>[[1,2,3,5,6,8],[4,7,9,10,11,12]]=>9 [4,8,9,1,10,11,12,2,3,5,6,7]=>[[1,2,3,5,6,7],[4,8,9,10,11,12]]=>10 [5,6,7,8,1,2,3,4,10,9,12,11]=>[[1,2,3,4,9,11],[5,6,7,8,10,12]]=>9 [5,6,7,8,1,2,3,4,11,12,9,10]=>[[1,2,3,4,9,10],[5,6,7,8,11,12]]=>10 [5,6,7,9,1,2,3,10,4,8,12,11]=>[[1,2,3,4,8,11],[5,6,7,9,10,12]]=>9 [5,6,7,9,1,2,3,11,4,12,8,10]=>[[1,2,3,4,8,10],[5,6,7,9,11,12]]=>9 [5,6,7,10,1,2,3,11,12,4,8,9]=>[[1,2,3,4,8,9],[5,6,7,10,11,12]]=>10 [5,6,8,9,1,2,10,3,4,7,12,11]=>[[1,2,3,4,7,11],[5,6,8,9,10,12]]=>9 [5,6,8,9,1,2,11,3,4,12,7,10]=>[[1,2,3,4,7,10],[5,6,8,9,11,12]]=>9 [5,6,8,10,1,2,11,3,12,4,7,9]=>[[1,2,3,4,7,9],[5,6,8,10,11,12]]=>9 [5,6,9,10,1,2,11,12,3,4,7,8]=>[[1,2,3,4,7,8],[5,6,9,10,11,12]]=>10 [5,7,8,9,1,10,2,3,4,6,12,11]=>[[1,2,3,4,6,11],[5,7,8,9,10,12]]=>9 [5,7,8,9,1,11,2,3,4,12,6,10]=>[[1,2,3,4,6,10],[5,7,8,9,11,12]]=>9 [5,7,8,10,1,11,2,3,12,4,6,9]=>[[1,2,3,4,6,9],[5,7,8,10,11,12]]=>9 [5,7,9,10,1,11,2,12,3,4,6,8]=>[[1,2,3,4,6,8],[5,7,9,10,11,12]]=>9 [5,8,9,10,1,11,12,2,3,4,6,7]=>[[1,2,3,4,6,7],[5,8,9,10,11,12]]=>10 [6,7,8,9,10,1,2,3,4,5,12,11]=>[[1,2,3,4,5,11],[6,7,8,9,10,12]]=>10 [6,7,8,9,11,1,2,3,4,12,5,10]=>[[1,2,3,4,5,10],[6,7,8,9,11,12]]=>10 [6,7,8,10,11,1,2,3,12,4,5,9]=>[[1,2,3,4,5,9],[6,7,8,10,11,12]]=>10 [6,7,9,10,11,1,2,12,3,4,5,8]=>[[1,2,3,4,5,8],[6,7,9,10,11,12]]=>10 [6,8,9,10,11,1,12,2,3,4,5,7]=>[[1,2,3,4,5,7],[6,8,9,10,11,12]]=>10 [3,5,7,6,8,2,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [4,2,5,3,7,6,1,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [6,2,4,3,7,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [1,3,6,4,7,5,2,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [8,2,5,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [7,2,5,3,6,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [6,2,5,3,7,4,1,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [4,2,6,3,7,5,1,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [5,2,7,3,6,4,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [7,3,6,2,5,4,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [6,3,8,2,5,4,1,7]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [7,3,1,4,6,5,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [8,3,7,2,5,4,1,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [5,2,8,3,6,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [3,2,8,4,6,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [1,4,7,3,6,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [8,2,5,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [8,2,6,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [1,4,8,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [6,2,1,4,8,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [5,2,1,4,8,6,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [3,2,1,5,8,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [4,2,8,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [5,2,8,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [8,3,7,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [7,3,1,4,8,5,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [1,3,7,4,8,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [8,2,6,3,7,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,2,6,3,8,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [5,2,7,3,8,4,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [3,2,7,4,8,5,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [5,2,6,3,8,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [6,2,5,3,8,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [7,2,5,3,8,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [8,2,5,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [1,3,6,4,8,5,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [1,3,5,4,8,6,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [8,2,4,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [7,2,4,3,8,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [6,2,4,3,8,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [5,2,4,3,8,6,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [4,2,5,3,8,6,1,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,2,5,3,1,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [6,2,4,3,1,7,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [7,2,4,3,1,6,5,8]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [8,5,1,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,4,1,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,5,2,4,7,6,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [7,2,5,3,1,6,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [6,2,5,3,1,7,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [4,2,6,3,1,7,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,2,6,4,1,7,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,2,7,4,1,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [4,2,7,3,1,6,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,2,7,3,1,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>5 [6,2,7,3,1,5,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>5 [7,2,6,3,1,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [1,5,2,4,8,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [8,4,1,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [6,2,1,5,3,7,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>5 [3,2,1,6,4,7,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,2,8,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [6,2,8,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [8,3,7,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [7,1,3,2,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [6,3,5,2,4,8,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [1,5,2,8,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [5,7,2,8,1,4,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>4 [4,8,3,1,5,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [7,1,5,3,2,6,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [6,7,5,4,3,2,1,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [8,6,2,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [1,4,2,7,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [3,2,1,7,8,5,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [7,3,4,2,1,5,8,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [1,7,6,3,2,4,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [2,1,6,4,7,8,5,3]=>[[1,3,5,8],[2,4,7],[6]]=>5 [1,6,3,2,4,7,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>6 [1,2,3,7,5,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,8,5,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [4,7,8,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [3,6,7,1,8,4,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [1,3,7,6,2,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [2,7,3,8,4,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>6 [7,1,4,3,8,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [5,6,2,7,8,3,4,1]=>[[1,3,4,8],[2,6,7],[5]]=>6 [7,4,1,8,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [7,2,5,8,1,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [6,4,8,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [2,7,4,1,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [6,2,1,4,7,5,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [2,3,6,8,4,1,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [1,7,2,8,6,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [8,4,2,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [5,2,4,8,7,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [3,2,4,6,7,8,1,5]=>[[1,4,5,7,8],[2,6],[3]]=>5 [5,2,6,8,1,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [4,8,1,6,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [7,1,5,2,6,4,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [8,3,5,2,6,1,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [1,8,5,6,2,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [4,2,7,6,1,8,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [7,2,4,8,6,3,5,1]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [7,3,2,1,8,5,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,3,2,1,6,4,8,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [6,7,2,4,3,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [4,3,8,2,1,5,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,3,2,8,1,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,5,8,3,2,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [6,8,5,2,7,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [5,4,7,8,2,3,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [4,3,8,2,1,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [3,5,7,4,6,2,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,3,7,6,2,4,8,1]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [4,6,7,2,5,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [6,4,7,8,3,1,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [5,8,1,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [5,6,7,1,8,3,4,2]=>[[1,2,4,8],[3,6,7],[5]]=>6 [7,1,8,6,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [8,5,1,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [1,5,8,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [1,5,7,4,6,8,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [1,4,7,5,6,8,3,2]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [5,6,7,4,8,1,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [8,1,2,6,4,5,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [4,8,1,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [2,6,7,1,5,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [3,2,7,6,5,8,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [1,7,3,4,5,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,1,8,4,5,6,3,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [10,1,3,4,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>8 [1,8,3,4,5,6,9,2,7]=>[[1,2,4,5,6,7],[3,9],[8]]=>7 [1,2,7,4,5,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [6,7,3,2,5,8,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,1,8,4,5,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [9,1,10,4,5,6,7,8,3,2]=>[[1,2,5,6,7,8],[3,10],[4],[9]]=>7 [4,6,2,5,1,8,7,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [5,1,4,6,2,8,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [7,3,5,2,1,6,8,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [8,5,1,2,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,5,8,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [5,7,2,1,3,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [3,7,2,6,8,1,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [7,4,8,6,5,1,3,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [2,7,6,8,5,1,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [1,6,4,5,7,3,8,2]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [1,5,4,7,8,6,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [7,3,1,6,8,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [7,1,6,8,5,2,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [3,5,8,7,6,4,1,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [1,5,7,8,6,2,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [3,6,2,1,4,7,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [6,8,2,7,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [5,8,1,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [10,7,1,2,3,4,9,5,6,8]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>7 [7,6,1,2,3,4,10,9,5,8]=>[[1,2,3,4,5,8],[6,9],[7,10]]=>6 [4,1,5,6,7,8,9,2,3]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [8,6,3,2,1,5,4,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [8,5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [7,5,2,4,3,6,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [8,5,1,4,6,3,2,7]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [8,5,1,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,4,3,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [8,4,3,5,2,1,7,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [6,4,3,2,8,7,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [8,5,1,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [8,5,4,2,1,3,7,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [4,7,3,6,1,8,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [7,6,2,4,1,5,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [8,1,6,3,7,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [5,3,8,2,6,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [8,2,5,1,7,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,2,4,6,3,7,1,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [7,2,6,4,3,5,8,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [7,3,6,2,4,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [8,3,7,2,1,4,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [7,6,4,1,3,2,8,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [7,3,8,2,1,5,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [6,2,5,7,4,3,8,1]=>[[1,3,7,8],[2],[4],[5],[6]]=>4 [6,2,5,4,8,7,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [7,2,4,8,5,1,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [4,2,7,6,8,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [7,1,6,2,8,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [7,1,6,3,8,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,2,6,8,1,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [7,2,8,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [7,1,8,5,3,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,1,8,2,5,6,4,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [6,1,5,8,7,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,1,5,7,4,8,3,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [6,1,5,7,8,3,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [4,6,7,3,1,8,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [4,2,6,3,1,8,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [6,1,4,2,5,8,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [1,5,3,8,4,6,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [7,2,3,5,8,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [7,6,4,2,8,5,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [1,7,6,4,8,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [8,7,4,2,1,5,6,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [8,2,3,5,1,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [8,7,4,1,3,2,6,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [7,1,4,8,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [4,1,8,5,7,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [3,7,5,8,4,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [6,1,5,8,3,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [6,7,5,1,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [5,2,6,1,7,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [4,2,6,8,3,7,1,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [6,8,5,1,4,2,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [7,8,4,5,1,3,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [1,7,8,5,3,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,5,8,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [6,3,8,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [4,8,1,5,6,3,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [1,8,2,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [3,8,1,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [7,3,8,1,2,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [8,1,4,2,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [8,1,2,4,6,5,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [5,1,8,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,4,7,1,5,3,6,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [7,2,5,3,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [7,6,4,2,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [5,8,4,3,6,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [1,7,2,6,3,4,8,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [7,5,1,6,3,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [7,1,2,6,3,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [7,3,1,4,6,2,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>5 [7,1,6,5,4,2,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [5,8,4,3,1,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [3,6,8,5,2,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [5,7,8,4,3,2,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [1,3,8,4,7,2,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [6,7,1,3,2,8,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [1,5,3,2,6,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [3,7,6,5,8,2,4,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [5,7,4,2,8,6,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,4,3,7,8,2,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,8,5,7,6,2,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [1,3,6,8,7,2,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [5,8,7,1,4,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [2,6,3,7,1,4,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [7,6,8,4,3,1,5,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [1,7,6,5,3,2,4,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [2,7,6,5,4,1,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [6,2,3,5,8,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [4,7,6,1,5,8,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [6,8,7,1,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [8,7,4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [3,5,2,4,7,6,9,8,1]=>[[1,4,6,8],[2,5,7,9],[3]]=>4 [3,2,5,4,7,6,9,8,1,10]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>5 [7,2,6,1,5,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [4,7,3,8,6,2,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,7,3,6,8,2,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [5,4,7,3,8,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [8,7,2,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [4,3,5,7,2,6,1,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [1,7,2,8,5,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [5,4,8,3,6,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [6,8,2,5,7,1,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [3,8,6,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [5,8,4,2,7,3,6,1]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [8,2,7,3,4,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [8,1,5,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [8,6,1,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [8,5,1,2,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [2,6,8,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [1,7,8,5,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [8,3,1,2,4,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,1,7,5,8,2,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [8,1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [8,1,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6],[8]]=>3 [2,6,8,1,5,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [3,5,8,2,1,4,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [4,2,8,5,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [4,2,7,5,3,8,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [6,4,5,1,8,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [5,4,7,8,3,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [4,5,8,1,3,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [1,5,3,6,8,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [7,6,2,8,1,4,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [4,7,2,6,8,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [6,3,2,8,7,4,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [7,4,3,8,5,6,2,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [3,1,5,8,7,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,2,1,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [3,1,8,6,5,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [1,2,7,6,4,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [7,2,6,5,1,8,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [4,2,8,5,6,3,1,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,7,3,2,5,1,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [4,2,5,3,8,7,1,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [7,2,5,3,8,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [7,5,6,1,8,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [4,5,6,2,7,3,1,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [3,5,1,4,6,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [8,5,7,4,2,1,3,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [4,6,2,7,5,8,1,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [7,8,1,4,2,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [6,5,2,4,8,7,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [8,5,2,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [5,1,2,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [8,6,2,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [4,3,8,1,5,2,6,7]=>[[1,2,6,7],[3,5],[4,8]]=>5 [4,1,3,6,7,2,8,5]=>[[1,2,5,7,8],[3,6],[4]]=>5 [3,5,1,2,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [3,7,8,6,5,1,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [8,4,5,7,2,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [4,5,8,2,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [6,5,8,2,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,4,8,2,7,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [7,8,1,3,6,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [5,7,3,4,2,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,7,4,2,3,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [5,4,7,3,2,8,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [6,8,3,2,4,5,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [5,8,3,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [6,4,3,8,5,1,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,4,8,2,3,5,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [5,4,6,8,2,3,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [5,6,8,4,1,2,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [6,4,8,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [7,4,8,3,1,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [5,7,8,2,3,1,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [5,4,7,8,2,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [5,8,6,3,1,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [6,8,5,2,1,3,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [5,6,1,3,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [4,3,8,1,2,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [4,6,3,2,8,5,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [5,3,7,2,1,8,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,4,8,3,7,2,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [3,6,8,5,2,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [6,1,5,4,7,2,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [5,4,8,3,2,7,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [5,4,3,7,8,2,1,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,4,5,6,7,8,2,9,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [3,4,5,6,7,8,9,2,10,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>8 [1,4,5,6,7,8,3,9,2]=>[[1,2,5,6,7,8,9],[3],[4]]=>7 [1,4,8,6,3,2,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,1,8,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [6,7,2,5,3,8,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [6,3,4,8,1,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [2,6,3,1,5,8,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [7,1,3,2,6,5,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,3,5,8,4,7,2,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [2,3,8,7,5,1,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [4,1,3,5,6,2,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [6,4,8,7,3,5,2,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [8,2,3,5,6,1,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [3,8,2,7,6,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [4,3,8,6,2,7,1,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [8,3,4,5,1,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [7,8,1,3,5,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [3,5,7,6,4,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [1,3,7,8,5,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,3,2,7,8,5,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [1,5,7,6,8,3,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [5,2,4,1,8,3,6,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [2,1,7,4,3,8,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [7,2,3,8,5,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [1,4,2,6,3,8,5,10,7,9]=>[[1,2,3,5,7,9],[4,6,8,10]]=>6 [1,10,5,2,7,3,9,4,6,8]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>6 [1,10,9,6,2,8,3,4,5,7]=>[[1,2,3,4,5,7],[6,8],[9],[10]]=>6 [1,10,9,8,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>6 [1,4,8,2,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,4,6,7,3,5,2,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,4,8,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,7,3,2,4,5,6,8]=>[[1,2,4,5,6,8],[3],[7]]=>6 [1,7,3,2,4,5,8,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,6,4,3,2,5,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [4,2,6,5,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [5,2,1,6,8,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [1,3,5,8,6,2,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [3,7,8,5,4,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [8,3,2,7,5,6,1,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [1,3,8,5,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,2,3,7,5,4,6,8]=>[[1,2,3,4,6,8],[5],[7]]=>6 [1,4,2,8,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [2,8,6,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [6,1,8,2,5,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,5,4,2,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [3,1,2,4,8,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,1,2,5,8,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [6,5,2,1,8,4,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [5,6,2,4,3,8,1,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [5,1,4,7,3,2,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [4,1,5,8,6,2,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [6,5,2,3,1,8,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [4,3,5,1,8,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [2,5,3,6,1,8,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [2,5,6,8,3,1,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [7,1,4,5,3,6,2,8]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [1,7,2,4,5,3,6,8]=>[[1,2,3,5,6,8],[4],[7]]=>6 [1,7,4,5,3,2,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [1,6,4,7,3,5,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [3,5,6,4,8,2,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [1,6,4,7,5,2,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,5,2,6,7,4,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [8,5,6,1,4,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [2,5,4,7,8,3,1,6]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [6,4,5,8,2,3,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [8,6,1,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [7,5,8,1,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [4,2,6,7,8,1,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [3,4,6,7,8,1,5,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [4,7,3,8,5,1,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,3,2,7,5,8,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,8,5,3,2,6,1,7]=>[[1,5,6,7],[2],[3],[4],[8]]=>4 [2,8,4,5,3,6,1,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [8,1,5,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [7,8,4,1,3,6,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,6,1,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,3,8,2,4,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [6,2,3,7,8,1,5,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [6,3,7,8,1,5,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [2,6,3,7,8,1,5,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [7,5,8,1,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [8,1,4,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [1,4,8,5,3,2,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [8,2,7,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,7,4,3,8,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [6,8,2,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [8,2,6,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [6,1,2,8,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [4,1,5,8,3,6,7,2]=>[[1,2,6,7],[3,5,8],[4]]=>5 [7,5,2,8,1,6,3,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [4,8,5,7,1,3,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [3,4,7,2,1,5,8,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [4,8,2,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,2,1,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [4,2,5,8,3,6,7,1]=>[[1,3,6,7],[2,5,8],[4]]=>5 [5,1,6,8,3,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [4,1,5,6,8,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [4,5,2,8,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [4,8,5,3,1,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [6,2,3,1,7,8,5,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [5,2,3,6,8,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>5 [6,2,1,7,8,4,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [5,2,1,3,8,4,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [5,2,7,8,4,1,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [6,2,7,8,3,5,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [5,2,8,6,4,1,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [5,1,2,8,4,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [6,7,8,3,2,5,4,1]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [5,7,2,6,4,8,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [6,2,3,4,7,8,5,1]=>[[1,3,4,5,8],[2,7],[6]]=>6 [7,2,1,8,4,3,5,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [6,2,1,3,7,5,8,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [6,8,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [6,2,3,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [7,4,3,2,5,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [7,2,4,3,5,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [1,7,6,4,2,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [1,3,2,5,8,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [6,1,4,7,2,8,5,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [1,6,7,2,4,8,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [5,7,2,4,3,6,8,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [5,7,3,4,6,2,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [2,8,3,6,1,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [4,3,1,8,5,2,6,7]=>[[1,2,6,7],[3,5],[4,8]]=>5 [1,8,4,5,6,2,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [7,3,8,2,1,4,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [8,2,5,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [6,3,5,8,1,7,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [3,5,4,8,6,1,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [7,5,2,3,8,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [2,7,5,1,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [5,7,6,1,2,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [7,4,6,5,1,8,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [7,1,3,2,6,8,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [4,3,5,2,8,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [1,7,3,8,2,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [2,7,4,8,5,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [6,1,3,8,4,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [5,4,1,8,6,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [5,4,6,8,1,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [3,6,1,5,8,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [6,4,8,3,5,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [3,5,8,2,4,1,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [7,2,8,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [5,8,1,2,4,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [8,4,3,5,7,2,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [4,1,5,2,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [6,3,5,8,2,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [2,8,7,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [1,8,5,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [7,5,6,2,8,4,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [5,7,6,2,8,1,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [6,3,8,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [7,6,4,8,5,3,2,1]=>[[1,5],[2,8],[3],[4],[6],[7]]=>3 [8,6,9,7,5,4,3,2,1]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>3 [3,2,1,6,5,8,7,10,9,4]=>[[1,4,7,9],[2,5,8,10],[3,6]]=>4 [5,4,3,2,7,6,9,8,1,10]=>[[1,6,8,10],[2,7,9],[3],[4],[5]]=>4 [5,4,3,2,9,8,7,6,1,10]=>[[1,6,10],[2,7],[3,8],[4,9],[5]]=>3 [5,4,3,2,1,8,7,10,9,6]=>[[1,6,9],[2,7,10],[3,8],[4],[5]]=>3 [7,6,5,4,3,2,9,8,1,10]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>3 [1,5,7,2,4,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,6,5,3,2,4,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,7,2,4,6,5,3,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [1,4,7,2,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [1,2,6,8,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,2,7,4,3,5,8,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,6,2,8,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,7,4,2,3,5,8,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,8,5,2,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,7,4,8,5,2,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [1,4,7,5,2,8,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [1,6,3,7,4,2,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,8,5,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,4,8,7,5,3,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [1,2,5,8,6,3,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,2,4,7,5,8,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,5,8,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [1,3,5,8,7,6,2,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,5,2,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,6,8,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [1,2,5,7,4,3,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,5,3,2,6,8,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,4,2,6,8,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,5,8,6,3,2,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [1,8,5,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,7,4,6,3,2,8,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [1,6,3,2,8,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [1,3,8,6,4,2,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [1,5,7,4,2,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [6,3,7,5,4,2,8,1]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [7,5,2,6,3,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [3,8,2,7,5,4,1,6]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [5,4,8,6,7,1,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [2,7,3,6,8,5,4,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [3,7,2,8,1,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [8,5,2,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [2,5,8,7,1,4,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [3,4,6,5,8,2,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [5,2,4,1,6,7,8,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [4,2,7,1,6,8,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [5,2,8,6,4,7,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [6,1,3,4,7,2,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>6 [8,4,7,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [8,3,4,5,2,1,7,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [8,6,1,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [5,3,6,7,2,8,4,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,3,6,7,2,4,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [8,6,1,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [1,5,8,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [7,1,3,6,5,2,8,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [8,2,1,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [1,4,7,5,2,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [6,1,7,5,4,2,8,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [2,7,3,6,5,1,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [8,6,5,1,3,7,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [5,7,6,2,4,8,1,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [3,7,5,6,4,8,1,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,6,8,1,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [2,8,4,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,8,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [8,7,1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [3,5,8,6,7,1,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [1,2,4,6,8,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [3,1,5,8,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,5,4,6,8,1,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [6,5,2,4,7,8,1,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [7,2,5,8,6,4,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [5,2,8,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [2,4,3,8,7,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [1,5,8,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [6,8,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>3 [5,6,4,7,3,8,2,9,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>5 [5,3,4,8,6,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [5,4,6,3,7,2,8,1,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>5 [6,5,7,4,8,3,9,2,10,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>5 [5,6,4,7,3,8,2,9,1,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>6 [5,4,2,3,6,1,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [4,3,7,6,8,2,1,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [8,1,4,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [6,1,8,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [8,7,2,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [8,7,1,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [5,4,1,3,7,2,8,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [8,3,4,7,6,2,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [3,1,8,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [6,5,8,7,2,4,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [4,3,6,5,8,2,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [7,6,3,2,8,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [4,3,7,1,8,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [3,2,8,5,6,7,1,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [8,3,2,1,4,7,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [4,7,3,1,8,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [3,7,8,2,5,6,1,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [7,5,1,4,2,3,6,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [7,8,6,1,2,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,5,3,4,7,8,6,2]=>[[1,2,4,6,8],[3,7],[5]]=>5 [5,1,2,4,7,8,6,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [5,1,7,8,6,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [8,5,1,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [7,5,1,2,4,6,8,3]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [6,1,5,2,7,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [7,1,2,6,4,5,8,3]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [1,7,3,6,4,5,8,2]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [1,8,3,6,4,5,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [8,1,6,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [7,1,6,2,5,3,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [8,1,6,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [8,1,7,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [8,1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [1,8,3,7,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [8,1,6,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [7,3,1,2,6,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [3,1,2,8,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [6,3,1,2,7,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [6,1,7,4,2,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,7,3,4,6,8,5,2]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [1,7,3,8,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>6 [7,1,8,2,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [6,1,7,2,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [5,1,7,2,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [5,1,8,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,6,3,7,4,5,8,2]=>[[1,2,4,5,8],[3,7],[6]]=>6 [2,4,7,3,5,1,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>5 [2,4,8,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,3,7,5,4,1,6,8]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [3,4,6,2,1,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,4,7,2,1,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [2,3,6,1,5,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,3,7,1,6,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,4,7,1,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [5,4,7,8,1,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [2,5,7,1,4,6,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,4,7,1,6,3,5,8]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,3,7,1,6,5,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,5,7,1,4,3,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,5,7,3,1,4,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>5 [3,4,7,2,1,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [4,6,3,7,1,5,2,8]=>[[1,2,7,8],[3,5],[4,6]]=>5 [5,7,3,2,8,1,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [2,6,5,7,1,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [3,6,8,5,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [5,4,7,8,1,3,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [2,5,7,1,4,6,8,3]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,4,7,1,6,3,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,4,7,1,6,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [8,6,5,1,2,4,3,7]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [7,6,1,4,2,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [6,5,1,4,8,3,2,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [8,7,5,1,4,2,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [8,4,1,2,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [8,6,1,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,7,1,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [2,8,3,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [8,7,5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>3 [4,2,5,7,3,1,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [8,2,4,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [8,4,5,1,3,2,6,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [4,3,7,5,2,1,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [1,6,7,4,3,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,4,5,7,3,2,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [3,5,1,4,7,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>5 [2,5,1,4,7,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [4,3,7,1,5,2,6,8]=>[[1,2,6,8],[3,5],[4,7]]=>5 [3,5,1,6,4,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [6,4,3,1,7,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [6,2,7,4,3,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [2,6,4,1,7,3,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>5 [6,3,2,7,4,5,1,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,2,4,1,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [6,3,2,5,7,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,2,6,5,7,1,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>4 [1,7,3,2,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>5 [2,1,7,3,5,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [2,1,6,3,5,7,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [1,6,3,2,5,7,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,4,6,5,2,7,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [5,6,2,1,4,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>5 [2,5,1,6,4,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [2,5,4,1,6,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [4,6,1,5,2,7,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>6 [1,6,5,3,7,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,2,5,3,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [5,2,7,6,1,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [5,8,2,6,1,7,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [1,5,8,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,2,6,4,7,3,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,2,7,8,3,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [2,7,4,5,8,1,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [2,6,1,8,5,4,3,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [5,8,6,2,3,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [4,5,8,6,2,1,3,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [6,4,7,5,8,2,1,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [6,3,7,4,2,5,8,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,5,6,2,4,3,8,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [4,6,2,5,7,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,2,8,5,3,6,1,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [8,1,7,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [2,1,7,8,4,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>5 [8,2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [7,6,5,3,1,2,8,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [5,4,1,6,2,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [6,2,3,1,7,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [3,1,8,6,7,2,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [4,2,5,1,8,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,5,3,7,1,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,2,8,5,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [2,8,6,3,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [3,5,2,8,6,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [7,3,5,1,6,4,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [5,1,4,7,2,6,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [1,8,2,5,6,4,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [2,7,1,4,8,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,8,4,6,1,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [8,4,6,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [8,3,7,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [8,5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [5,8,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [8,3,7,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [7,3,8,6,5,1,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [2,6,3,7,5,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [5,4,7,1,3,8,6,2]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [2,8,5,1,4,7,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [7,2,6,5,8,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [5,8,2,3,4,6,1,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [6,1,3,4,2,5,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>6 [1,5,6,3,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [6,3,5,2,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [7,8,3,5,2,4,6,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [2,4,5,7,3,6,1,8]=>[[1,3,5,6,8],[2,7],[4]]=>5 [2,5,3,1,6,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>6 [6,5,1,3,4,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [5,7,4,3,2,6,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [6,8,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [2,6,7,8,4,3,5,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [1,7,8,4,5,3,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,1,8,5,3,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [5,7,4,2,1,6,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,1,4,7,3,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [7,4,8,6,3,5,2,1]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [4,7,6,3,5,2,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [1,6,5,8,7,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,1,3,8,7,5,2,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [7,6,2,1,8,3,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,1,3,6,8,2,5,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,7,5,6,8,2,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [3,6,7,5,8,2,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [1,7,4,5,2,8,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [7,5,4,2,1,8,6,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [3,6,7,4,2,8,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [4,6,3,2,7,8,5,1]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [7,6,1,3,4,2,5,8]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [7,8,2,6,4,5,3,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [7,2,5,4,6,1,3,8]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [7,1,2,4,5,6,3,8]=>[[1,2,3,5,6,8],[4],[7]]=>6 [7,3,2,1,5,6,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,6,2,1,7,5,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>4 [2,6,7,3,1,5,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>5 [2,1,6,4,7,5,3,8]=>[[1,3,5,8],[2,4,7],[6]]=>5 [7,2,8,5,6,4,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,6,8,5,4,1,3,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>3 [7,1,8,4,6,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [7,8,6,3,1,5,4,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>4 [7,6,1,4,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [7,1,5,6,4,3,2,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [4,1,3,8,6,2,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [5,6,3,2,8,1,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [8,2,6,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,5,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [7,5,3,2,4,1,8,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [7,1,2,3,6,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [6,7,2,8,3,4,5,1]=>[[1,3,4,5],[2,7,8],[6]]=>6 [3,1,8,4,6,5,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [6,1,2,3,8,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [8,1,6,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,1,6,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,6,4,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,6,1,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,6,4,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [8,6,1,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [8,6,4,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [3,4,7,5,8,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [8,7,1,4,6,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,3,7,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [5,3,8,6,4,1,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [8,10,1,2,3,4,5,9,6,7]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>8 [10,8,1,9,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>8 [7,4,5,1,2,8,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [6,4,7,1,8,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [5,7,4,2,3,8,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [3,8,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [5,8,4,2,3,7,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [4,8,5,2,1,7,3,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [8,5,7,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [6,8,7,5,2,4,1,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [5,7,6,8,4,1,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [7,3,1,6,8,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [5,3,1,7,4,8,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [7,3,1,8,6,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [8,6,4,1,7,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [4,6,8,3,7,1,2,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [3,5,2,8,4,7,1,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [6,4,8,3,7,2,1,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [3,6,2,8,7,4,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [6,8,4,2,7,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [3,4,7,8,5,1,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [4,7,3,2,5,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [3,2,7,6,4,5,8,1]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [1,7,3,6,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [2,3,6,5,1,8,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [8,3,1,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,7,8,2,4,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [3,6,4,7,1,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [5,7,4,8,1,3,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [4,3,7,8,1,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [8,5,4,2,6,1,7,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [3,2,6,8,7,4,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [2,3,7,5,1,8,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [6,3,1,2,8,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [5,2,1,3,8,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [7,2,1,5,3,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [1,5,8,2,4,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [4,3,6,8,1,5,2,7]=>[[1,2,7],[3,5,8],[4,6]]=>4 [5,4,6,8,3,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [3,6,8,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [8,6,1,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [7,3,1,2,8,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [2,3,7,6,1,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [3,2,7,8,6,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [6,2,8,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [3,1,2,8,7,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [2,1,3,8,7,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,1,3,8,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [1,6,8,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [8,5,1,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [8,4,1,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [8,3,1,6,2,7,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [1,3,2,8,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [2,1,3,8,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [1,6,3,7,2,5,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>5 [1,7,2,4,6,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [5,6,2,8,4,1,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [3,5,8,4,2,1,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [2,5,8,3,1,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [2,8,1,3,5,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [5,4,7,8,3,2,6,1]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [3,6,8,2,5,1,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [3,6,8,7,2,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [3,4,6,5,8,2,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [2,4,6,7,8,3,5,1]=>[[1,3,5,7,8],[2,6],[4]]=>5 [1,4,2,5,7,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [1,4,2,6,8,5,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [1,2,6,8,3,5,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,6,8,3,5,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,5,3,2,4,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [1,5,8,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [1,5,7,6,3,2,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [1,6,3,2,4,7,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [1,6,3,2,4,8,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [1,2,7,6,4,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [1,8,7,5,2,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [1,7,5,2,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [1,7,4,2,5,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [1,8,4,7,5,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,7,5,2,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,7,5,2,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,6,3,7,4,2,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [1,6,3,2,7,5,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>5 [1,4,7,5,2,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [1,3,6,4,8,7,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,3,7,6,4,2,5,8]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [1,3,2,4,8,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,3,8,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,4,6,3,2,7,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,4,6,3,2,8,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [1,5,7,6,4,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [1,6,3,2,8,4,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [1,6,3,5,2,7,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,6,3,5,2,8,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [1,8,3,7,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [6,4,7,1,5,3,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [4,3,8,2,6,5,7,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [5,7,1,4,8,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [6,5,7,1,4,3,8,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [5,7,6,1,2,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [1,3,4,2,8,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [3,2,1,4,8,5,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [7,3,1,4,2,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>5 [7,4,1,6,2,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [5,4,1,8,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [5,3,1,8,2,6,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [4,7,1,5,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6 [6,5,1,4,2,7,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [1,8,7,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [1,8,9,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3,9],[8]]=>7 [1,8,7,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,3,7,8,4,5,6,2]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,3,4,5,6,7,8,9,10,11,12,2]=>[[1,2,4,5,6,7,8,9,10,11,12],[3]]=>11 [8,4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [6,4,5,2,8,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [6,4,2,3,5,8,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,8,6,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [8,2,4,6,7,1,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,6,3,1,7,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [6,5,1,8,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [1,4,3,7,2,8,6,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [1,8,7,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [2,8,3,1,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [8,3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [1,7,4,6,3,8,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [5,6,4,1,3,8,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [4,5,3,1,8,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [6,3,4,2,7,8,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [6,2,7,8,1,3,5,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [5,1,8,4,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [7,2,8,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [1,4,8,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [8,1,6,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [7,5,2,3,6,8,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [8,1,4,6,5,3,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [8,1,4,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [4,5,8,1,6,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [3,7,2,5,8,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [6,7,8,4,1,5,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [6,2,8,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>4 [6,2,7,4,5,3,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,8,2,5,3,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [7,4,5,6,1,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [6,1,8,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [4,8,7,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [4,8,2,7,5,3,6,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [1,3,2,6,8,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,3,8,2,5,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [1,6,2,5,8,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [1,6,8,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,6,8,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,5,2,4,8,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,2,4,5,8,6,3,7]=>[[1,2,3,5,6,7],[4],[8]]=>6 [1,2,8,3,5,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,3,8,2,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,6,7,5,2,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [1,5,6,4,7,2,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [1,7,4,2,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [1,6,4,3,7,5,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,6,5,4,7,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [1,7,3,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,5,8,2,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,3,2,6,8,5,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,6,3,2,7,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [1,7,8,5,4,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [1,8,4,2,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,4,2,7,5,3,8,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [1,5,7,6,2,4,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [1,8,4,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [1,3,8,4,2,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,7,4,2,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [1,6,5,8,3,7,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [1,7,4,8,3,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [1,4,8,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [1,8,3,6,4,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [1,6,4,7,3,2,8,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [8,2,3,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [8,5,7,2,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [7,5,2,1,6,8,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [7,6,1,5,4,8,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [7,6,3,2,1,8,4,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [2,8,7,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [6,5,1,3,7,2,8,4]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [8,1,7,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [7,1,8,3,4,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [3,8,7,1,2,4,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,8,5,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [7,1,6,5,4,3,8,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [7,1,3,6,4,5,8,2]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [7,1,5,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [6,1,5,3,7,8,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [5,8,7,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [6,8,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [5,1,7,3,8,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [6,1,3,2,4,7,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>6 [6,2,1,3,4,7,8,5]=>[[1,3,4,5,8],[2,7],[6]]=>6 [2,4,5,1,6,7,8,9,3]=>[[1,3,5,6,7,8,9],[2,4]]=>7 [3,4,5,1,6,7,8,2,9]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [5,6,1,7,8,9,2,3,4]=>[[1,2,3,4,9],[5,6,7,8]]=>8 [4,5,6,1,7,8,9,10,2,3]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9 [2,1,4,3,6,7,8,9,5]=>[[1,3,5,7,8,9],[2,4,6]]=>6 [3,2,5,8,7,4,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [4,2,5,8,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [8,3,4,1,6,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [3,4,8,5,7,2,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [3,6,4,8,5,7,2,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [5,8,4,7,3,6,2,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [4,2,8,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [6,5,8,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [6,1,4,3,8,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [5,1,3,2,6,8,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [6,1,3,8,7,2,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [1,2,8,4,5,7,3,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [4,2,1,8,7,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [3,2,5,8,7,1,4,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [5,6,3,8,7,2,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [2,5,8,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [1,6,2,4,8,5,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>5 [3,1,6,5,8,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [4,8,5,3,6,7,1,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [1,8,5,3,4,7,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [2,7,1,3,6,4,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>5 [8,1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [1,8,6,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [3,2,4,8,5,7,1,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [8,1,2,4,7,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [6,4,5,8,3,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [8,6,2,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [4,6,2,8,5,3,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [8,7,2,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [7,5,3,4,8,6,2,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [2,8,3,1,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [4,3,6,5,1,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>5 [5,8,3,7,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>3 [1,3,8,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [4,8,7,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [1,8,7,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [8,7,2,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [2,8,7,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [4,2,8,7,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [1,2,5,7,4,8,6,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [6,2,1,8,7,5,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [6,3,8,7,4,5,2,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [2,8,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2],[8]]=>6 [4,5,6,3,1,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [1,5,6,3,8,4,2,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [5,7,3,8,4,2,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [5,3,6,2,8,4,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [2,3,6,5,4,8,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [3,7,5,4,8,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [5,3,7,1,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [6,3,8,7,2,5,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [6,8,4,1,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [8,1,4,6,7,5,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [2,6,8,1,4,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [6,4,8,1,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [4,2,8,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [8,1,2,6,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,4,1,6,2,7,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [4,8,1,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [4,8,2,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [8,2,4,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [2,1,4,3,6,5,8,9,10,7]=>[[1,3,5,7,9,10],[2,4,6,8]]=>6 [2,1,4,3,6,7,8,9,10,5]=>[[1,3,5,7,8,9,10],[2,4,6]]=>7 [2,1,4,5,6,7,8,9,10,3]=>[[1,3,5,6,7,8,9,10],[2,4]]=>8 [5,4,7,6,3,1,2,8]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [3,6,4,8,1,5,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>5 [3,6,8,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>5 [8,7,1,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [3,8,6,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [8,2,6,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [4,6,1,3,2,8,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [7,1,4,8,2,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [4,5,3,6,7,1,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [1,4,7,8,3,5,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [6,1,2,5,4,8,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [8,4,1,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [2,4,5,6,8,3,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,5,1,8,6,3,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [1,8,2,3,4,5,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [8,3,7,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [8,4,7,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [8,4,7,3,6,2,1,5]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [3,8,7,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [3,8,7,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,8,7,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [2,8,7,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [4,5,2,3,6,7,8,9,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>7 [4,3,2,5,6,7,8,9,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [5,6,7,2,3,4,8,9,1]=>[[1,3,4,8,9],[2,6,7],[5]]=>7 [5,3,6,2,4,7,8,9,1]=>[[1,4,7,8,9],[2,6],[3],[5]]=>6 [5,4,3,2,6,7,8,9,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>5 [6,3,7,8,2,4,5,9,1]=>[[1,4,5,9],[2,7,8],[3],[6]]=>6 [6,7,4,5,2,3,8,9,1]=>[[1,3,8,9],[2,5],[4,7],[6]]=>6 [6,4,3,7,2,5,8,9,1]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>5 [7,8,4,5,9,2,3,6,1]=>[[1,3,6],[2,5,9],[4,8],[7]]=>6 [7,4,3,8,9,2,5,6,1]=>[[1,5,6],[2,8,9],[3],[4],[7]]=>5 [7,5,8,3,6,2,4,9,1]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>5 [7,5,4,3,8,2,6,9,1]=>[[1,6,9],[2,8],[3],[4],[5],[7]]=>4 [7,6,5,4,3,2,8,9,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [8,6,4,9,3,7,2,5,1]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>4 [8,6,5,4,3,9,2,7,1]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>3 [4,5,2,3,6,7,8,9,10,1]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>8 [4,3,2,5,6,7,8,9,10,1]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>7 [5,6,7,2,3,4,8,9,10,1]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>8 [5,3,6,2,4,7,8,9,10,1]=>[[1,4,7,8,9,10],[2,6],[3],[5]]=>7 [5,4,3,2,6,7,8,9,10,1]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>6 [6,7,8,9,2,3,4,5,10,1]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>8 [6,3,7,8,2,4,5,9,10,1]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>7 [6,7,4,5,2,3,8,9,10,1]=>[[1,3,8,9,10],[2,5],[4,7],[6]]=>7 [6,4,3,7,2,5,8,9,10,1]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>6 [6,5,4,3,2,7,8,9,10,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>5 [7,3,8,9,10,2,4,5,6,1]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>7 [7,4,3,8,9,2,5,6,10,1]=>[[1,5,6,10],[2,8,9],[3],[4],[7]]=>6 [7,5,8,3,6,2,4,9,10,1]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]=>6 [7,5,4,3,8,2,6,9,10,1]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>5 [7,6,5,4,3,2,8,9,10,1]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>4 [8,5,9,3,6,10,2,4,7,1]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>6 [8,5,4,3,9,10,2,6,7,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>5 [8,9,6,7,4,5,2,3,10,1]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>6 [8,6,4,9,3,7,2,5,10,1]=>[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>5 [8,6,5,4,3,9,2,7,10,1]=>[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>4 [8,7,6,5,4,3,2,9,10,1]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [9,7,5,4,10,3,8,2,6,1]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>4 [9,7,6,5,4,3,10,2,8,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>3 [10,1,9,2,8,3,7,4,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>5 [1,5,6,3,8,2,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,7,5,3,6,2,8,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [1,5,7,3,4,2,8,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [1,4,5,3,8,2,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [5,1,6,8,3,7,2,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [3,1,5,2,7,4,6,10,9,8]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>5 [7,4,1,6,2,3,5,10,9,8]=>[[1,2,3,5,8],[4,6,9],[7,10]]=>5 [3,1,5,2,7,4,9,6,11,8,10,12]=>[[1,2,4,6,8,10,12],[3,5,7,9,11]]=>7 [5,4,7,1,8,6,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [2,4,1,5,3,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]]=>7 [1,4,8,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,5,1,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [7,5,1,8,3,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [5,2,8,1,7,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [1,2,5,6,8,7,3,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [1,5,6,8,2,7,4,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [2,6,7,3,4,1,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [1,6,5,7,8,2,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [1,5,6,7,2,8,4,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [3,7,6,1,8,2,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,3,7,2,6,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,5,8,6,7,3,4,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [1,6,5,8,7,2,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [1,5,7,6,2,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,2,5,8,6,7,4,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [1,2,6,5,7,3,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,7,5,8,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [3,6,5,8,1,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [5,4,7,8,1,6,3,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [2,5,6,8,1,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [5,3,6,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [4,6,5,8,3,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [4,5,6,8,2,3,7,1]=>[[1,3,6,7],[2,5,8],[4]]=>5 [2,5,8,7,1,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [4,7,5,8,3,6,2,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [7,3,6,8,5,2,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [8,3,6,7,5,2,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [8,4,5,7,3,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [2,4,7,8,5,6,3,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [3,6,8,7,5,2,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [6,4,7,8,5,1,3,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [7,8,4,6,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [6,8,4,7,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [2,8,7,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,7,6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [3,8,7,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [5,8,3,7,1,4,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [5,3,8,2,4,6,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [4,5,8,3,2,6,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [5,8,2,1,4,6,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [4,1,5,8,3,6,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,5,8,3,6,1,2,7]=>[[1,2,6,7],[3,5],[4,8]]=>5 [3,2,7,1,8,5,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>4 [4,7,8,5,2,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [6,2,7,8,1,5,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>5 [2,7,1,3,8,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [2,6,7,8,4,1,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [2,6,7,8,4,3,1,5]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [5,1,2,3,6,4,7,8,9]=>[[1,2,3,4,7,8,9],[5,6]]=>8 [7,1,2,6,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [8,1,2,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [7,4,1,8,2,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [7,4,8,3,1,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,4,5,3,1,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,2,3,1,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [8,2,1,7,4,3,5,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [7,2,6,8,4,1,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [7,2,5,1,6,8,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [6,2,1,7,4,8,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [1,7,4,3,2,5,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [1,7,4,3,6,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [3,7,5,8,2,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [5,2,1,6,3,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [5,1,3,4,6,2,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [3,8,4,5,7,2,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [3,8,4,7,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>4 [4,2,8,6,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [4,1,7,6,3,8,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [7,4,1,8,5,3,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [3,5,6,8,4,7,1,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [5,4,1,8,6,7,2,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [6,2,8,4,5,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [4,5,2,1,8,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [4,7,3,8,2,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,7,3,1,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [6,2,1,3,7,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [6,3,7,1,2,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [5,1,4,7,8,2,6,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [7,2,5,8,1,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [8,3,6,7,2,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [3,8,7,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,8,5,6,2,7,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [3,6,5,8,4,2,7,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [6,8,3,2,5,7,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [4,1,5,6,8,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,4,2,3,6,7,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [6,1,2,4,5,7,8,3]=>[[1,2,3,5,7,8],[4],[6]]=>6 [4,5,1,3,7,6,8,2]=>[[1,2,6,8],[3,5,7],[4]]=>5 [3,5,4,8,6,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [3,6,2,4,5,8,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>4 [8,1,3,7,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [8,1,5,3,6,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [2,6,4,8,3,1,5,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [2,6,4,1,5,8,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [8,1,5,4,7,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [7,6,5,4,1,8,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [8,1,5,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [2,5,1,4,6,7,3,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [3,6,4,1,5,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [7,6,5,2,8,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [3,1,6,5,2,8,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [1,7,2,4,3,5,8,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [3,8,1,7,4,2,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [6,8,2,4,5,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [4,8,5,3,6,1,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [2,8,3,1,4,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [8,6,3,2,7,4,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [2,7,3,1,8,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [1,2,8,3,5,6,4,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [3,5,7,4,8,1,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [2,8,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [1,5,2,8,6,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [7,4,8,6,3,1,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [3,6,8,4,1,2,5,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [4,7,8,5,2,1,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [6,1,5,2,8,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [8,1,3,5,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [3,1,8,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [3,1,6,4,8,5,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [5,1,3,4,2,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [3,2,6,4,1,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [5,4,2,1,8,3,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [4,2,5,1,8,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [6,8,2,7,1,4,3,5]=>[[1,3,5],[2,4],[6,7],[8]]=>4 [1,8,4,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [8,6,3,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [5,8,3,1,4,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [1,2,5,4,7,8,3,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,8,3,2,6,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [4,7,1,2,5,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [6,8,4,1,3,7,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [3,2,6,1,7,8,5,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [7,6,4,1,8,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [5,4,1,6,7,3,2,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [7,4,1,6,5,8,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [8,5,4,1,6,7,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [5,2,1,6,4,7,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [1,6,2,3,5,7,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>6 [1,3,4,8,5,2,6,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [8,2,4,6,1,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [1,5,7,2,3,6,8,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [7,3,1,4,2,5,8,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [4,3,5,1,6,2,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [8,6,3,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [8,3,2,6,1,5,4,7]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [8,5,1,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [4,8,1,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,5,1,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [8,5,7,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [5,4,8,3,1,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [5,1,4,8,3,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [4,8,1,7,6,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [4,3,8,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4,8]]=>2 [3,8,7,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,2,5,7,4,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [3,8,7,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,7,6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>3 [2,8,4,7,6,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [2,5,4,8,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [5,4,8,2,1,3,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [3,8,7,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [1,8,4,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [1,8,3,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [1,4,3,8,7,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [7,1,5,4,6,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [7,4,1,3,6,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [2,6,8,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [2,5,4,8,1,7,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [7,5,2,4,8,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,8,2,6,3,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [7,2,6,5,8,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [5,6,3,1,4,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>6 [2,6,1,5,3,4,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>5 [3,4,7,8,5,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [3,6,2,4,7,8,5,1]=>[[1,4,5,8],[2,6,7],[3]]=>5 [5,3,6,4,8,7,2,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [1,5,4,8,6,2,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [7,6,2,5,3,8,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [8,4,6,1,3,7,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [4,8,5,1,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [4,5,1,3,8,6,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [7,4,2,3,6,8,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [2,1,6,7,4,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [7,8,1,3,6,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,2,6,8,4,5,3,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [7,3,6,8,5,1,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [7,5,8,1,6,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [5,7,8,1,6,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [7,2,6,8,5,1,4,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>3 [7,5,2,4,8,3,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,8,3,1,6,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [6,7,8,4,3,1,5,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [7,8,3,6,4,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [7,3,8,1,6,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [1,7,5,8,2,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,5,2,8,1,4,6,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [3,7,8,2,6,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,7,8,2,1,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [7,8,1,6,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [6,7,8,2,5,4,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [6,7,8,3,1,5,4,2]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [7,8,1,6,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [5,6,1,4,3,8,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [5,1,6,8,3,4,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>5 [7,1,6,8,5,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>3 [5,6,8,1,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [4,8,1,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [4,6,1,2,8,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>5 [6,4,7,3,5,2,1,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [5,7,8,4,2,1,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [3,1,6,2,5,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,6,4,5,2,7,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [6,2,1,4,5,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>5 [1,2,3,4,5,8,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [1,2,3,4,7,9,5,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>7 [1,2,4,6,8,3,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,2,5,9,3,6,7,8,4]=>[[1,2,3,4,7,8],[5,6],[9]]=>7 [1,3,5,8,2,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [6,1,3,7,2,8,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [6,4,5,8,3,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [8,1,4,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [2,6,8,4,3,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [8,1,5,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [1,6,7,4,2,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [1,7,8,4,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [1,4,7,2,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [3,1,2,6,7,8,5,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [3,8,1,6,4,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [1,6,3,4,7,8,2,5]=>[[1,2,4,5,8],[3,7],[6]]=>6 [3,1,5,7,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [6,3,1,4,2,7,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [2,4,3,7,6,1,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [3,1,7,6,5,2,8,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [1,4,7,6,8,3,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [7,2,1,5,6,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [4,3,1,8,6,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [3,1,5,2,8,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [1,2,8,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [2,6,1,8,7,4,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [7,5,1,8,3,2,6,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [4,7,6,3,1,8,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [5,3,1,8,6,2,4,7]=>[[1,2,4,7],[3,6],[5,8]]=>5 [5,1,8,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [1,5,4,2,8,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [1,4,2,8,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [8,3,1,6,4,2,5,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [1,7,4,8,3,5,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,3,2,4,8,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [5,7,8,1,4,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [2,6,3,8,1,7,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [2,5,1,8,6,3,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [2,8,6,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [1,8,4,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [6,5,1,7,2,8,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [2,8,1,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [1,2,8,7,6,4,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [4,1,7,8,6,3,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [1,6,5,7,8,4,2,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [4,1,8,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [4,8,2,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [4,3,5,7,1,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,1,8,5,3,6,2,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [6,4,2,5,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [3,1,5,8,2,7,4,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [6,4,1,5,3,2,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [6,2,1,5,4,3,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [3,1,8,5,4,6,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [6,1,8,4,5,3,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [4,5,2,7,1,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>5 [4,3,5,7,1,6,8,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [4,1,8,5,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [6,3,8,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>5 [3,1,6,8,5,7,4,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [2,6,1,8,5,7,4,3]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [6,3,8,4,5,2,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [6,5,8,7,2,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,3,8,4,5,2,7,1]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [2,1,6,8,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [3,2,6,8,5,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [4,1,8,5,2,6,3,7]=>[[1,2,3,7],[4,5,6],[8]]=>6 [3,1,6,8,5,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [6,5,8,7,4,1,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,5,8,7,4,2,1,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [6,5,8,7,2,4,1,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [6,2,8,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [6,1,8,4,5,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,9,2,10,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [4,2,7,3,5,8,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>5 [3,6,2,4,8,5,7,1]=>[[1,4,5,7],[2,6,8],[3]]=>4 [3,5,1,8,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [3,6,1,8,5,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [2,4,8,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [3,6,8,2,5,7,4,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [2,6,8,5,4,3,7,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [3,6,8,2,5,4,7,1]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [4,6,8,3,2,5,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,6,2,8,3,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>4 [3,6,1,8,5,7,4,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [5,2,6,8,4,1,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [4,6,3,8,7,2,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [3,5,8,2,7,4,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [2,6,8,5,7,4,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [2,4,8,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [7,5,1,6,3,2,8,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [2,7,6,3,4,1,8,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [4,8,2,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [6,3,8,5,7,2,4,1]=>[[1,4,7],[2,5],[3,8],[6]]=>3 [1,5,4,8,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [8,2,1,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [8,2,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [6,2,8,1,7,5,3,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [3,5,1,8,7,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [1,4,2,3,6,5,8,7,10,9]=>[[1,2,3,5,7,9],[4,6,8,10]]=>6 [4,7,8,3,5,6,1,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [3,2,5,6,8,4,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>4 [2,5,6,4,8,3,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [4,2,5,7,3,8,1,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [4,7,3,1,6,8,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [4,2,7,6,8,1,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [1,7,4,6,8,3,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [4,7,2,5,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [5,4,1,3,7,8,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [6,1,5,8,3,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [7,2,1,6,8,3,5,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [5,6,4,1,8,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [2,3,7,8,5,1,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [1,2,6,7,4,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [5,8,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [6,2,3,1,8,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>4 [5,1,2,6,4,8,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [8,6,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [4,5,2,8,6,1,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [3,4,8,2,5,6,1,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [6,8,2,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [5,6,7,2,8,4,1,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,8,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [4,3,8,5,2,7,1,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [2,8,4,5,1,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [3,2,5,8,4,7,1,6]=>[[1,4,6],[2,5,7],[3,8]]=>3 [3,5,1,8,7,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [4,6,1,3,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [8,6,1,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [5,1,7,8,3,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [5,3,6,7,4,2,8,1]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [5,4,2,8,6,7,3,1]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [6,1,4,2,8,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [3,7,2,6,8,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [4,6,5,2,7,8,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [5,4,6,2,7,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,1,8,6,4,2,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [6,2,1,8,5,7,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [5,4,6,2,3,1,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [6,5,7,8,1,3,4,2]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [2,1,7,6,8,4,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [6,4,7,2,8,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,3,2,7,8,4,5,1]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [4,7,3,1,5,2,8,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,7,6,3,1,5,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [2,7,3,1,8,5,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>5 [2,8,3,1,7,4,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [1,8,2,7,3,5,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [1,7,4,8,6,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [1,6,3,5,7,4,8,2]=>[[1,2,4,7,8],[3],[5],[6]]=>5 [1,5,4,7,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [3,8,5,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [3,7,4,8,5,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [8,1,2,6,5,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [3,7,4,2,5,6,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [6,8,7,1,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [3,4,2,8,6,7,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,7,8,6,1,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [3,6,1,5,2,7,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [8,1,2,6,3,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [6,2,8,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [3,7,8,4,2,5,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [3,4,2,8,5,1,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [1,4,3,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>7 [6,8,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [1,8,4,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [4,3,8,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [3,2,8,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [2,7,8,5,1,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [2,7,8,1,5,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [2,7,8,1,4,5,6,3]=>[[1,3,5,6],[2,4,8],[7]]=>5 [5,7,6,8,2,1,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [5,4,7,8,6,3,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [4,5,7,8,2,6,1,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [6,1,5,3,8,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,8,6,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [6,2,7,4,8,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [2,8,5,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [6,8,2,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [8,3,4,5,6,1,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>6 [5,3,6,4,7,2,1,8]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [4,2,6,5,7,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [5,4,6,2,7,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [3,2,6,5,8,4,1,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [3,2,6,5,8,7,1,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [4,2,6,5,8,7,1,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [5,2,6,4,8,7,1,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [5,4,7,6,8,2,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [6,4,7,5,8,3,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [4,2,7,5,8,6,1,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [3,2,7,5,8,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [4,3,7,2,8,5,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [4,3,6,2,8,5,1,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,3,7,6,8,5,1,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [5,3,7,6,8,2,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,3,7,2,8,6,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [3,2,6,4,8,7,1,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [4,2,7,3,8,6,1,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [5,2,7,6,8,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [3,2,7,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [3,2,7,6,8,5,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [6,2,7,5,8,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [4,8,1,7,3,2,5,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [3,7,4,8,2,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [3,7,8,2,5,4,6,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [4,7,5,8,3,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [6,7,1,3,2,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [8,7,6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [3,8,5,2,6,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [7,2,5,3,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [4,2,5,3,7,8,6,1]=>[[1,3,6,8],[2,5,7],[4]]=>5 [5,3,6,2,4,1,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [7,8,6,2,3,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [5,8,2,6,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [4,8,2,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [7,5,6,2,3,8,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [2,7,5,6,4,3,8,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [2,8,4,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [3,8,5,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [7,8,6,3,5,4,2,1]=>[[1,4],[2,8],[3],[5],[6],[7]]=>3 [2,7,6,3,8,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [7,4,2,5,6,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [6,2,7,5,3,8,4,1]=>[[1,3,4],[2,7,8],[5],[6]]=>5 [2,4,8,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,8,3,7,5,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [6,2,5,8,3,7,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [4,7,3,8,2,5,6,1]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [8,2,5,6,3,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [4,5,3,7,1,2,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>5 [8,5,6,4,1,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [6,7,2,8,4,3,1,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,7,3,2,8,4,1,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [4,7,8,3,1,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,5,8,1,3,2,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,7,8,1,6,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [4,7,1,3,8,6,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [5,7,2,8,3,4,6,1]=>[[1,3,4,6],[2,7,8],[5]]=>5 [3,7,2,8,5,6,4,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [3,1,5,8,6,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [2,3,8,6,4,5,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [2,5,6,1,8,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [3,6,2,8,4,7,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [8,5,6,3,1,4,2,7]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [5,7,8,3,4,6,2,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [3,5,1,8,6,4,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [7,5,3,8,6,4,2,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [5,1,3,8,6,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [1,5,8,3,6,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [7,5,8,3,6,4,2,1]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [1,5,8,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [3,7,5,8,2,6,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [5,7,8,1,4,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [1,3,7,8,4,2,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [6,1,2,5,3,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>6 [1,4,6,5,7,2,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [6,7,3,5,4,1,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [8,1,6,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [4,2,5,1,3,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [1,3,2,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [8,1,7,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [1,2,6,4,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,6,4,3,7,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [5,7,8,3,2,6,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [8,4,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [8,6,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [7,3,1,8,6,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [3,4,5,6,7,1,2,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [2,7,3,1,4,8,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [3,1,6,5,7,8,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [4,3,1,5,8,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [1,7,2,5,6,8,4,3]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [4,7,6,8,3,1,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [3,5,4,7,1,8,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [7,1,5,4,2,3,6,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [7,1,3,6,4,5,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [6,1,3,8,4,5,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [2,1,8,7,3,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [5,8,2,7,1,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [2,6,5,4,1,3,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [4,1,5,7,6,3,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [4,5,1,7,6,3,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [5,4,2,1,8,7,3,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [6,2,1,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>3 [1,4,2,6,7,8,5,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [1,4,2,5,6,8,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>6 [2,5,3,6,7,8,4,1]=>[[1,3,4,7,8],[2,6],[5]]=>6 [1,8,6,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [3,2,4,5,7,8,1,6]=>[[1,4,5,6,8],[2,7],[3]]=>5 [2,3,4,7,5,8,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>6 [6,5,2,8,7,4,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [7,8,5,4,2,1,6,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [7,5,2,8,6,4,3,1]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [7,8,3,2,6,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [8,2,6,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [8,6,7,2,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [1,6,2,7,8,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [8,6,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [1,6,8,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [7,6,3,2,8,1,5,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [8,6,3,7,2,4,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [1,7,8,6,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,2,8,6,4,1,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [1,5,3,7,4,2,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [1,7,6,4,3,2,8,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [1,7,6,3,4,2,5,8]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [1,2,7,4,3,8,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [1,5,4,2,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,5,3,2,4,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6 [1,5,4,2,3,7,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,2,7,6,3,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [8,1,3,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [3,2,7,5,6,1,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [7,5,6,1,4,3,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [8,1,4,3,5,2,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [1,3,5,2,4,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>6 [8,3,6,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [1,7,5,8,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,5,7,1,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [7,1,4,2,3,8,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [8,1,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [8,6,5,2,4,1,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [6,8,5,2,4,3,1,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [3,4,2,8,6,7,1,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [4,6,7,2,5,1,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [3,6,2,5,1,7,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [3,4,2,7,8,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [7,1,4,2,5,8,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [7,8,5,1,2,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [5,8,1,4,3,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,2,3,8,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [4,6,2,7,8,1,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [6,2,3,7,1,4,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [4,6,7,8,2,1,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [8,6,3,2,1,7,5,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [8,6,4,9,7,5,3,2,1]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>4 [8,6,4,2,9,7,5,3,1]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>5 [6,2,7,3,8,4,9,5,1]=>[[1,3,4,5],[2,7,8,9],[6]]=>7 [4,5,6,7,8,2,9,3,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>7 [4,5,6,7,1,8,2,9,3]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [9,7,10,8,6,5,4,3,2,1]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>3 [9,7,5,10,8,6,4,3,2,1]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>4 [8,5,2,9,6,3,10,7,4,1]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>7 [7,3,8,4,9,5,1,10,6,2]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>8 [6,1,3,4,2,5,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [5,1,3,6,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [1,5,7,6,8,2,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [5,7,1,3,8,4,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [2,6,1,4,3,7,8,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [1,6,2,4,3,5,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [5,3,7,6,1,8,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [1,5,6,3,7,8,4,2]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,5,7,6,3,8,4,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [7,3,5,6,1,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [1,6,3,7,8,5,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,7,8,6,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [3,7,5,6,1,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [5,6,2,8,4,7,3,1]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [7,3,5,4,1,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,8,5,1,3,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,5,1,3,8,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [7,1,3,8,2,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [3,1,5,4,7,2,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>5 [5,7,6,1,3,8,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [5,7,6,3,8,1,4,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [5,1,3,7,6,2,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [1,6,3,7,2,4,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [5,3,2,4,8,1,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [6,8,5,3,2,7,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [8,3,7,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>2 [4,6,2,7,1,3,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,5,1,4,7,2,8,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [5,1,4,8,7,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,1,3,4,2,7,8,5]=>[[1,2,4,5,8],[3,7],[6]]=>6 [6,5,2,3,7,8,1,4]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [1,5,3,8,4,2,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [5,4,2,1,8,3,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [3,1,7,4,2,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [7,4,8,2,3,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [8,4,1,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,1,7,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,6,5,2,7,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [3,1,6,8,4,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [5,6,2,3,7,4,1,8]=>[[1,3,4,8],[2,6,7],[5]]=>6 [6,2,4,7,3,5,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [1,4,8,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [2,5,6,3,1,8,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [4,5,1,2,7,8,6,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,8,5,1,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [4,6,7,5,1,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [7,2,8,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [6,1,4,7,3,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [7,1,6,3,4,8,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [2,8,4,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [8,2,6,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [3,7,4,1,5,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [3,8,4,1,7,2,5,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [6,7,5,1,3,8,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>5 [8,5,1,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [7,8,6,2,4,1,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [8,2,4,1,3,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [8,1,3,6,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,5,6,3,8,4,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>5 [5,6,1,3,7,2,8,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,1,8,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,6,1,2,8,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>5 [3,7,8,1,6,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [1,7,8,6,3,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [5,7,1,8,6,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [7,8,1,5,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,1,8,5,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [7,1,5,8,6,4,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [8,1,3,5,6,4,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,3,8,5,6,4,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,3,5,8,6,4,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,5,7,8,6,4,2,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [3,2,5,4,7,6,9,8,10,1]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>5 [1,8,2,6,5,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [8,6,1,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [8,5,1,6,2,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [7,6,1,2,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [2,7,8,4,1,3,5,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [6,8,1,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [8,1,3,5,6,7,2,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [8,1,2,5,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [5,2,7,3,4,8,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [2,7,5,4,1,3,6,8]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [2,7,4,6,5,1,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [6,8,7,5,2,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [2,8,6,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [1,5,8,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [1,6,4,8,5,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,6,8,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [3,1,6,4,2,5,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [5,4,2,3,6,8,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [3,1,7,8,6,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [2,8,1,6,5,3,7,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [2,1,5,7,6,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [4,3,5,1,7,8,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [1,8,5,2,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,9,6,2,3,4,5,8,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>6 [1,5,8,2,3,4,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [1,2,7,8,4,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,2,3,4,5,6,9,7,10,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [4,3,8,7,6,2,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [5,4,8,2,7,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [2,3,6,1,7,5,8,4]=>[[1,3,4,7,8],[2,5],[6]]=>5 [4,6,5,2,1,7,8,3]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,6,1,7,5,8,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [4,1,5,7,6,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [3,5,6,2,1,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [4,3,6,5,1,7,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [1,2,3,4,5,7,6,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>9 [1,2,3,5,4,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>9 [1,2,3,5,4,7,6,9,8,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>7 [5,8,1,4,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [4,5,8,2,3,1,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [3,5,4,8,1,7,2,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [5,3,6,8,1,4,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [3,5,1,8,6,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [4,7,2,8,3,1,6,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [1,2,5,6,8,3,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [5,3,8,4,6,2,7,1]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [7,4,8,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [8,3,2,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [4,1,5,6,8,7,2,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [1,2,5,6,8,4,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>5 [1,5,6,8,4,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [5,6,8,1,2,4,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>5 [6,8,1,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [4,3,5,1,8,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [1,3,5,6,8,4,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>5 [5,6,8,2,3,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>5 [6,5,1,2,4,8,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [5,8,7,2,1,3,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [5,1,7,2,8,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [6,1,5,3,4,8,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [5,8,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,7,1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>3 [3,2,1,7,8,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>4 [8,6,7,1,2,5,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,5,6,4,2,8,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [7,5,1,4,8,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [3,2,8,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [8,4,3,1,7,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [6,1,7,8,4,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [7,4,3,1,8,5,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [7,8,1,6,3,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,8,1,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,8,9,10,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9,10]]=>9 [1,7,2,8,9,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [1,6,2,7,8,9,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>8 [3,4,2,1,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [4,3,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>7 [3,4,2,1,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>8 [4,5,2,1,3,6,7,8,9]=>[[1,3,6,7,8,9],[2,5],[4]]=>7 [3,4,2,5,1,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [4,3,1,2,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3],[4]]=>8 [4,6,5,3,8,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [4,5,6,3,8,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [7,8,3,5,2,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [6,3,7,5,2,4,1,8]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [6,2,4,5,7,3,1,8]=>[[1,3,5,7,8],[2],[4],[6]]=>5 [7,8,1,5,6,4,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,3,7,5,1,4,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [1,3,8,2,4,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [6,1,7,3,4,2,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [3,1,7,2,5,8,6,4]=>[[1,2,4,6],[3,5,8],[7]]=>5 [2,8,7,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [2,8,7,1,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [7,1,6,8,2,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,6,5,7,4,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [7,2,8,4,5,6,3,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [5,4,3,1,2,6,7,8,9]=>[[1,2,6,7,8,9],[3],[4],[5]]=>6 [6,5,4,3,1,2,7,8,9]=>[[1,2,7,8,9],[3],[4],[5],[6]]=>5 [8,5,4,3,9,1,2,6,7]=>[[1,2,6,7],[3,9],[4],[5],[8]]=>5 [6,5,4,3,1,2,7,8,9,10]=>[[1,2,7,8,9,10],[3],[4],[5],[6]]=>6 [7,6,5,4,3,1,2,8,9,10]=>[[1,2,8,9,10],[3],[4],[5],[6],[7]]=>5 [9,6,5,4,3,10,1,2,7,8]=>[[1,2,7,8],[3,10],[4],[5],[6],[9]]=>5 [6,8,7,3,2,4,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [3,8,6,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [7,5,8,6,4,1,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [2,7,6,3,8,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [2,3,1,8,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,1,7,6,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,3,1,8,4,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [4,2,3,5,1,8,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [5,8,7,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>3 [6,8,5,1,7,4,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [6,8,5,2,7,4,1,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [7,5,8,1,6,4,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [7,5,8,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [6,3,2,8,1,7,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [2,6,8,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [5,3,8,7,6,2,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [3,7,6,1,4,5,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [4,1,6,2,7,5,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>6 [7,6,2,5,3,1,4,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [4,3,1,7,6,2,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>4 [4,5,3,1,2,8,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [2,4,5,3,1,8,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [5,7,6,2,3,1,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [4,1,3,7,5,2,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [4,1,6,3,2,7,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>5 [7,5,4,1,3,2,6,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [2,4,8,5,6,3,1,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [2,5,7,4,1,3,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>4 [5,7,4,1,3,2,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [2,6,8,4,5,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [5,2,3,7,4,1,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>5 [4,5,1,6,3,2,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [5,1,6,3,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [4,2,5,1,6,3,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [5,1,6,2,4,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [5,3,4,8,7,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [8,3,1,6,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [8,4,6,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [1,8,2,6,7,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [8,5,7,2,4,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [8,5,3,6,4,7,2,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>4 [8,2,5,3,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [1,2,8,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [6,8,5,2,7,1,3,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [7,6,4,5,2,1,8,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [8,2,4,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [7,3,8,5,4,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [6,3,4,7,2,8,5,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [8,1,7,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [7,1,8,5,3,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [6,8,4,3,1,5,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [1,4,5,8,3,2,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,5,2,4,7,8,6,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [5,2,7,4,3,8,6,1]=>[[1,3,6],[2,7,8],[4],[5]]=>4 [2,7,3,4,8,5,6,1]=>[[1,3,4,5,6],[2,8],[7]]=>6 [2,7,6,8,3,5,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [2,7,4,5,3,8,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [6,2,3,7,4,5,8,1]=>[[1,3,4,5,8],[2,7],[6]]=>6 [1,6,3,2,7,5,8,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [7,3,5,2,6,8,1,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [6,4,2,7,1,5,8,3]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [2,5,3,6,4,7,8,1]=>[[1,3,4,7,8],[2,6],[5]]=>6 [4,2,5,3,6,7,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [1,6,5,2,4,7,3,8]=>[[1,2,3,7,8],[4],[5],[6]]=>5 [1,8,7,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,8,7,2,5,4,3,6]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [1,5,4,2,7,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,5,4,2,8,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,6,8,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [1,7,6,2,3,5,8,4]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [1,2,8,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [1,3,8,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,4,7,3,2,8,6,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [1,8,6,5,2,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [1,6,8,4,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [1,7,5,3,2,6,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [1,2,6,5,3,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,7,3,2,8,4,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [1,6,5,2,8,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,8,3,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [5,4,2,8,7,6,1,3]=>[[1,3],[2,6],[4,7],[5,8]]=>3 [8,6,3,2,5,7,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [7,3,2,1,6,5,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [7,3,2,6,1,5,8,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [6,8,5,2,7,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [6,8,2,5,1,7,4,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [6,8,5,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [6,5,8,2,7,4,1,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [6,2,1,7,5,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [1,6,4,8,5,3,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [4,2,6,7,8,1,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,6,5,1,3,7,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [5,1,7,2,6,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [4,1,7,6,5,8,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [4,2,3,6,7,8,1,5]=>[[1,3,5,7,8],[2,6],[4]]=>5 [4,7,2,1,6,5,8,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [2,4,3,6,7,8,1,5]=>[[1,3,5,7,8],[2,6],[4]]=>5 [6,8,5,2,7,3,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,5,1,3,7,8,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [7,2,1,4,3,5,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [6,1,2,4,3,7,8,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [8,1,5,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [7,1,2,4,6,3,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [7,1,2,6,5,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [7,5,6,1,2,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [7,1,4,5,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [6,1,4,8,7,2,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [6,1,8,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [1,6,7,5,8,3,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [6,1,7,5,8,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [6,1,4,7,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [8,1,2,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [5,8,6,1,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [1,6,8,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [6,1,8,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [8,3,1,2,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [8,3,1,2,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [6,3,1,2,4,7,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [6,7,1,4,2,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [6,1,7,4,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,7,8,5,1,2,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [8,7,6,5,4,3,2,9,1,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [4,3,8,5,6,2,7,1]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [4,3,8,6,7,2,5,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [7,6,8,1,5,3,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [7,4,6,1,5,3,8,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [6,3,8,1,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [6,1,5,4,8,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,2,5,4,7,1,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [8,3,6,7,5,1,2,4]=>[[1,2,4],[3,5,7],[6],[8]]=>4 [4,6,8,2,3,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [6,8,2,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>4 [3,5,1,6,4,8,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [3,5,8,6,2,1,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [2,4,8,5,6,1,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [4,8,2,5,6,1,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [5,3,8,4,2,7,6,1]=>[[1,4,6],[2,7],[3,8],[5]]=>3 [2,8,5,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [1,7,8,4,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [8,7,2,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,7,3,2,1,6,4,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [7,8,3,4,6,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [8,7,3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [3,1,2,8,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [3,8,2,7,5,4,6,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [8,7,1,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [2,8,7,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [2,8,7,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,3,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [8,4,1,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [7,3,8,6,2,1,4,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,2,8,4,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [5,8,6,4,7,2,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [4,7,2,6,5,8,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [3,6,8,5,7,4,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [6,7,5,2,4,8,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [8,1,2,7,5,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [8,2,7,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [6,7,5,4,8,1,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [8,3,5,6,4,7,2,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>4 [8,5,6,2,4,3,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [6,5,8,1,3,4,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [6,8,4,5,1,3,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,4,8,7,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>3 [6,7,1,4,3,2,8,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [7,2,5,1,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [5,8,1,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [1,5,6,3,2,8,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [1,3,7,6,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [1,6,7,3,2,8,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [3,2,7,6,8,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [1,3,8,5,2,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [6,4,1,5,2,8,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [7,6,5,3,1,8,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [2,6,1,5,7,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [3,6,5,1,7,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>5 [5,4,2,6,3,7,8,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [3,5,7,6,2,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,5,8,2,1,4,6,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,5,8,2,4,6,7,1]=>[[1,4,6,7],[2,5,8],[3]]=>4 [5,3,8,2,1,4,6,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [5,3,1,8,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [5,1,3,8,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [1,5,8,4,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [5,8,2,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [5,8,2,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [5,8,2,4,6,3,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,8,2,4,3,6,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,8,1,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [1,5,8,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [5,1,8,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [5,8,2,4,6,3,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [3,8,4,6,7,2,1,5]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,8,4,6,7,2,5,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,4,3,6,7,2,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [8,4,3,6,7,2,1,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [8,6,2,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [1,8,6,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,6,2,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [1,8,6,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [3,8,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [3,8,6,2,1,4,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,8,6,2,4,1,5,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [3,8,6,2,4,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,3,6,2,4,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,1,3,6,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [8,3,6,7,2,1,4,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [3,8,6,7,2,1,4,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [8,2,6,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [1,8,4,6,7,5,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,4,6,2,3,7,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [8,4,7,2,1,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [2,7,1,6,3,5,8,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [8,4,2,1,5,3,7,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [8,2,1,4,7,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [1,6,2,5,8,4,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [2,1,5,8,7,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [3,2,1,6,7,4,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [4,3,1,7,8,5,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [2,8,5,3,6,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [5,3,2,7,8,6,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [4,2,7,8,3,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>5 [2,8,3,7,1,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,8,7,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [7,3,5,6,4,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [3,8,4,2,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [3,2,4,8,7,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [2,6,8,1,5,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [3,2,5,6,8,1,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [3,8,1,6,4,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [8,1,3,6,5,4,2,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [7,4,3,6,2,1,8,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [1,2,4,8,6,3,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [7,2,1,5,3,4,8,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [5,7,2,3,1,4,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [7,1,5,2,4,6,8,3]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [8,4,2,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [1,8,6,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [7,4,1,5,8,6,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [4,5,8,7,3,1,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [1,3,8,7,6,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [2,8,5,1,7,4,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [1,8,6,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [2,7,4,6,3,8,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [1,2,8,6,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [3,4,5,6,7,8,1,2,9,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [3,4,5,6,1,2,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [5,1,6,7,8,9,2,3,4]=>[[1,2,3,4,9],[5,6,7,8]]=>8 [4,1,8,6,3,7,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [8,4,3,1,6,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [7,5,4,3,8,1,6,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [5,3,1,6,2,8,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [3,5,4,1,7,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [3,2,5,7,8,4,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,1,5,7,8,4,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [6,1,3,7,4,5,2,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [1,8,6,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [2,6,1,8,5,3,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [4,5,7,8,1,6,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [2,5,7,8,4,6,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [1,8,2,7,5,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [2,5,4,1,8,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [7,3,5,1,4,8,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [7,1,3,2,4,5,6,8]=>[[1,2,4,5,6,8],[3],[7]]=>6 [3,8,7,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [5,1,7,8,2,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [8,5,4,6,1,7,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [5,3,2,1,4,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [5,3,2,4,7,1,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [4,8,1,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [5,3,2,4,6,8,1,7]=>[[1,4,6,7],[2,8],[3],[5]]=>4 [1,2,5,6,7,3,8,9,4]=>[[1,2,3,4,7,8,9],[5,6]]=>8 [4,6,8,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [1,7,6,4,2,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [7,6,4,2,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [8,5,2,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [8,5,1,4,3,7,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [3,6,7,2,5,1,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [2,6,5,7,1,4,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [3,5,1,7,8,4,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [1,5,2,4,6,8,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>5 [8,1,2,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [3,4,1,8,6,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [4,3,8,5,1,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [6,1,3,2,8,5,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [8,5,3,2,4,7,1,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [6,7,4,2,5,8,3,1]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [8,5,4,2,6,3,1,7]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,5,2,1,6,4,3,7]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [8,4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [1,3,8,4,7,5,2,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [5,3,7,1,4,6,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [5,7,2,6,1,4,8,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [3,8,5,7,6,1,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,4,7,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [3,8,6,4,7,2,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [5,2,7,4,6,8,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [4,8,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [2,8,3,1,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [2,5,6,4,8,1,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [5,7,2,1,6,8,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [4,7,8,5,1,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [4,5,2,1,6,7,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,5,6,3,1,7,8,2]=>[[1,2,6,7,8],[3,5],[4]]=>6 [3,5,6,7,4,1,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [3,5,1,4,2,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [3,5,1,4,2,6,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [3,5,1,4,2,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [1,3,8,4,6,2,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,8,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,4,8,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [1,3,7,6,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [1,2,8,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [1,7,5,4,3,2,6,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [8,9,10,5,6,3,4,7,1,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>7 [8,9,5,6,10,3,4,7,1,2]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>7 [8,9,10,5,6,3,2,4,7,1]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>6 [8,9,5,6,10,3,2,4,7,1]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>6 [8,9,10,5,3,6,2,4,7,1]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>6 [8,9,5,10,3,6,2,4,7,1]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>6 [8,9,5,3,6,10,2,4,7,1]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>6 [8,5,9,10,3,6,2,4,7,1]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>6 [3,8,5,7,4,6,2,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [7,6,3,2,5,1,8,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [4,2,5,7,8,6,3,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [6,7,2,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [5,2,7,8,3,6,1,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [8,5,1,2,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8]]=>5 [8,7,2,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,4,1,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [8,3,5,1,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [8,6,5,1,7,4,2,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [3,8,6,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,8,4,2,1,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [8,3,1,7,5,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,4,1,7,5,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [8,4,2,7,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [8,4,3,7,5,1,2,6]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [8,5,7,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [8,4,7,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>3 [8,3,1,4,7,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [8,3,5,7,6,2,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [1,4,6,8,2,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>5 [3,6,2,4,8,1,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [7,3,8,2,4,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [1,5,2,6,8,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [4,5,3,1,8,2,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [7,2,8,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [6,1,7,3,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [6,2,1,7,3,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [5,8,2,1,3,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [4,2,5,1,8,3,6,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [7,4,2,8,3,1,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,4,2,8,3,5,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [6,7,8,5,2,1,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [10,1,8,9,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>8 [7,3,4,1,8,6,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>5 [4,7,6,3,5,8,2,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [3,7,6,5,2,4,8,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [1,4,7,8,6,2,5,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [1,6,7,8,3,2,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [1,3,2,7,8,4,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [5,7,1,4,6,2,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [6,3,1,4,7,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [4,5,7,1,8,6,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,3,8,6,5,2,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [2,3,8,6,5,1,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [5,4,7,3,1,2,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [3,1,2,6,5,7,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [7,3,2,6,1,4,8,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [3,2,5,6,8,4,1,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [7,2,6,8,5,4,3,1]=>[[1,3,8],[2],[4],[5],[6],[7]]=>3 [3,7,5,6,2,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [4,2,5,1,3,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [5,3,4,2,7,1,8,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [6,5,2,1,3,8,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [2,4,3,5,6,8,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [6,3,1,2,7,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [8,4,7,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [7,4,6,1,8,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [8,5,6,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [2,5,6,3,8,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>5 [1,7,6,2,8,3,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [4,1,3,8,5,2,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [1,8,5,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [8,2,5,6,4,3,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [2,4,3,8,6,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [1,8,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [5,1,7,3,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [5,7,8,1,3,2,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [8,2,4,1,6,7,3,5]=>[[1,3,5,7],[2,4,6],[8]]=>4 [8,7,3,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [1,7,4,8,3,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [7,8,6,1,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [1,7,5,8,4,3,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [6,3,1,2,7,8,5,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [8,2,7,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [6,3,1,2,8,7,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [8,4,7,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [7,6,3,4,2,1,8,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [8,4,6,2,3,7,1,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [3,4,5,8,1,7,2,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [6,3,4,2,7,8,1,5]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [5,6,3,7,8,2,1,4]=>[[1,4,7,8],[2,6],[3],[5]]=>5 [8,6,3,4,7,2,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [4,3,8,6,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,5,6,2,7,8,3,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,5,6,2,7,1,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,5,6,2,1,7,8,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,5,6,2,1,7,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [6,8,7,2,3,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [4,5,1,6,7,3,2,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [2,5,1,8,3,7,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [5,7,2,1,3,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [7,1,5,4,2,6,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [2,7,4,5,6,8,1,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [2,3,4,6,8,1,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [2,3,5,8,1,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,4,7,5,6,8,1,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [7,3,4,6,2,8,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [4,7,6,5,2,8,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [2,5,4,8,6,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [7,5,4,1,6,8,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [8,5,2,1,7,6,3,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [7,2,1,8,5,6,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [3,6,5,1,4,8,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [6,3,5,4,8,1,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [2,5,1,4,6,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [3,1,5,6,4,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [8,5,6,4,3,1,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [8,3,5,6,7,1,2,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,1,4,7,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [5,3,7,6,4,8,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [3,7,6,4,2,8,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [8,6,1,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [8,4,7,5,1,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [2,1,5,3,7,8,6,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [5,1,4,7,6,8,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [8,4,1,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [8,3,4,1,6,7,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [8,1,4,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [5,8,1,4,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [5,6,4,3,8,2,7,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [1,6,4,3,8,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [7,8,1,4,3,2,5,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,1,8,4,5,3,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [4,3,1,8,6,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,3,2,7,5,1,8,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [5,2,3,7,4,1,8,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [2,1,7,4,3,6,8,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [7,1,2,4,5,6,8,3]=>[[1,2,3,5,6,8],[4],[7]]=>6 [2,8,7,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [8,7,1,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [5,8,3,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>5 [1,7,2,5,4,6,8,3]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [2,5,3,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [1,6,4,2,5,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [6,5,3,4,1,7,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [5,6,3,4,1,7,8,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [2,5,3,1,4,7,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>5 [6,8,2,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [4,3,1,5,2,7,8,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [5,2,3,1,4,7,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>5 [7,2,1,3,5,6,8,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [5,2,4,7,8,6,3,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [5,4,8,7,2,3,1,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [8,1,4,5,3,6,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [8,3,5,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [5,8,2,1,7,4,3,6]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [6,5,7,2,1,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [1,5,4,7,3,8,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [7,4,1,3,8,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [3,6,8,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [2,1,8,4,7,6,3,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [2,7,5,6,8,4,3,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [3,5,2,4,7,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [7,5,6,3,8,2,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [1,6,2,7,4,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>6 [7,4,2,6,1,5,8,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [8,4,1,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [7,3,4,5,1,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [8,4,2,7,6,1,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [8,4,7,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,4,7,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,7,6,2,1,5,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [5,7,8,1,6,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [6,8,7,4,2,5,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>4 [6,8,4,5,7,2,1,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [6,5,4,3,2,7,1,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [5,4,3,2,6,1,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>5 [4,3,2,5,1,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [3,2,4,1,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [4,1,2,6,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [4,6,1,3,5,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [4,2,6,3,5,1,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [4,6,1,2,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [5,8,4,7,1,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,8,3,1,5,4,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [5,1,3,6,7,4,2,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [4,2,8,6,7,1,3,5]=>[[1,3,5],[2,6,7],[4,8]]=>4 [6,1,2,4,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [4,2,8,1,6,5,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [1,3,5,2,7,4,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [1,3,5,7,2,4,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [1,3,5,7,2,4,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>6 [1,3,5,7,2,9,4,6,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [5,6,1,4,8,3,2,7]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [3,6,4,1,7,2,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [5,6,2,1,3,7,4,8,9]=>[[1,3,4,8,9],[2,6,7],[5]]=>7 [3,2,5,1,6,4,7,8,9]=>[[1,4,6,7,8,9],[2,5],[3]]=>6 [6,7,2,1,8,3,4,9,5]=>[[1,3,4,5],[2,7,8,9],[6]]=>7 [4,3,2,6,1,7,5,8,9]=>[[1,5,7,8,9],[2,6],[3],[4]]=>5 [5,4,3,2,7,1,8,6,9]=>[[1,6,8,9],[2,7],[3],[4],[5]]=>4 [6,5,4,3,2,8,1,9,7]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>3 [2,4,1,5,3,6,7,8,9,10]=>[[1,3,5,6,7,8,9,10],[2,4]]=>8 [5,6,2,1,3,7,4,8,9,10]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>8 [3,2,5,1,6,4,7,8,9,10]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>7 [6,7,2,1,8,3,4,9,5,10]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>8 [4,3,2,6,1,7,5,8,9,10]=>[[1,5,7,8,9,10],[2,6],[3],[4]]=>6 [7,8,9,3,2,1,4,5,10,6]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>7 [5,4,3,2,7,1,8,6,9,10]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>5 [6,5,4,3,2,8,1,9,7,10]=>[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>4 [7,6,5,4,3,2,9,1,10,8]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>3 [5,2,6,3,7,8,4,1]=>[[1,3,4,8],[2,6,7],[5]]=>6 [2,4,1,3,7,8,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,6,1,5,7,8,4,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [5,1,6,4,7,8,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [8,4,6,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [4,7,6,8,2,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [5,7,4,8,1,2,6,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [3,6,7,5,8,1,4,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [3,7,5,6,8,2,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [2,7,1,6,8,4,5,3]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [1,5,4,7,2,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>5 [2,4,5,8,3,1,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [1,4,7,5,8,3,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [2,6,8,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [4,7,8,6,2,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [4,8,7,3,5,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [1,7,6,3,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [4,3,8,1,6,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [1,3,6,2,5,8,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>4 [5,8,7,1,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [6,2,5,1,3,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [2,6,5,1,3,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [4,6,5,1,2,7,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>6 [5,6,4,1,2,7,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>6 [8,1,5,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [6,4,5,1,2,7,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>6 [5,4,6,1,3,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,7,1,4,3,2,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [2,6,4,1,3,7,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>5 [7,8,5,3,2,1,6,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [1,2,6,7,8,4,5,3]=>[[1,2,3,5,8],[4,7],[6]]=>6 [6,1,4,8,2,7,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [5,2,3,7,1,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [7,2,3,1,8,4,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [5,4,1,7,3,2,8,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [7,3,4,5,1,8,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [1,5,6,7,4,8,2,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [6,3,2,5,7,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [4,5,2,7,6,3,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [4,5,2,1,7,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>5 [2,6,7,8,3,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [6,3,2,5,1,7,8,4]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [4,6,3,7,8,2,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [5,6,7,1,8,4,2,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [1,7,8,4,6,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [1,7,3,2,8,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [3,7,1,2,8,6,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [2,7,8,1,6,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [8,1,5,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [5,8,2,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [2,8,4,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [1,8,2,4,7,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [4,5,8,7,1,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [1,8,2,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [2,5,1,8,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [3,4,2,8,1,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [3,1,8,2,6,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [1,6,5,2,8,7,3,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [8,1,7,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,1,3,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [7,3,4,8,6,2,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,5,8,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [6,2,5,3,8,1,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [7,6,1,3,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [6,2,4,5,3,8,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [6,1,5,4,7,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [6,8,5,4,7,1,3,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [1,6,8,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [7,5,8,1,3,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,4,2,8,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [1,6,2,4,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,7,8,5,4,2,6,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [1,5,2,8,6,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [1,6,5,2,7,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [5,1,6,7,4,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [1,5,4,2,8,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [1,8,5,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [1,7,5,4,6,2,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [5,8,4,1,6,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [4,8,1,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [4,5,3,1,2,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [6,4,2,3,1,8,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [6,5,2,1,3,8,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [7,6,1,8,2,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [8,4,2,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [5,7,8,1,2,4,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [1,7,6,8,3,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [5,7,6,4,2,1,3,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [6,5,7,4,1,3,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [4,6,1,8,3,5,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [7,1,6,8,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [4,7,1,8,3,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [4,8,3,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [1,7,8,6,4,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [3,2,8,6,4,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,4,3,6,2,5,1,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [1,6,8,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [3,1,2,6,8,7,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [5,7,4,2,1,8,6,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [8,6,5,7,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [7,4,6,1,8,5,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [7,4,6,3,8,1,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [7,4,8,1,6,3,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [7,4,8,3,6,2,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>3 [4,6,8,2,5,7,1,3]=>[[1,3,7],[2,5,8],[4,6]]=>4 [6,4,8,2,5,7,1,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [6,2,4,5,8,3,7,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [6,8,2,4,7,3,5,1]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [8,4,6,2,7,1,3,5]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [6,8,4,2,7,1,3,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [6,8,2,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [7,5,1,6,2,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [4,2,5,7,1,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [4,5,2,3,8,7,1,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [2,5,4,7,6,1,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>4 [5,2,3,7,6,1,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>5 [4,2,3,7,6,1,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>4 [4,2,7,3,5,1,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>5 [5,6,2,3,8,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>5 [5,6,2,3,1,7,8,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,7,2,3,4,1,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>5 [6,2,7,3,5,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>5 [7,2,6,3,5,1,4,8]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [6,5,2,3,1,7,8,4]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [6,5,2,3,8,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [7,5,2,1,4,6,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [8,5,2,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [8,6,2,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,2,6,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [1,6,3,4,2,7,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [8,5,2,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [1,7,2,4,5,6,8,3]=>[[1,2,3,5,6,8],[4],[7]]=>6 [1,8,3,2,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [7,2,8,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [2,7,8,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [6,8,2,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>4 [5,8,2,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>5 [5,7,2,1,4,6,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [4,2,7,1,5,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [4,2,3,8,1,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,2,1,5,3,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [5,1,3,8,4,6,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>5 [5,1,3,2,6,7,8,4]=>[[1,2,4,7,8],[3,6],[5]]=>6 [5,1,3,4,2,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [6,1,3,4,2,7,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [7,2,1,3,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [6,8,7,2,3,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [1,9,8,10,7,6,5,4,3,2]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>3 [6,2,7,3,4,5,1,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [4,5,7,2,8,3,6,1]=>[[1,3,6,8],[2,5,7],[4]]=>5 [9,7,5,3,1,8,6,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>5 [9,5,1,6,2,7,3,8,4]=>[[1,2,3,4],[5,6,7,8],[9]]=>7 [5,7,4,6,3,9,2,8,1]=>[[1,6,8],[2,7,9],[3],[4],[5]]=>3 [10,7,4,1,8,5,2,9,6,3]=>[[1,2,3],[4,5,6],[7,8,9],[10]]=>7 [5,6,7,3,8,4,9,1,10,2]=>[[1,2,7,8,9,10],[3,4],[5,6]]=>8 [6,5,8,4,7,3,10,2,9,1]=>[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>3 [5,2,1,3,6,7,8,4]=>[[1,3,4,7,8],[2,6],[5]]=>6 [7,5,2,6,1,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [6,1,5,2,7,8,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [7,5,6,8,4,1,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [8,3,7,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [8,1,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [8,3,2,6,4,5,1,7]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,5,3,7,4,1,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [8,5,6,2,7,1,3,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [8,4,7,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [8,5,7,3,2,6,1,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [8,1,2,3,6,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [7,6,2,3,5,8,1,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [4,5,3,7,8,1,6,2]=>[[1,2,6,8],[3,5],[4,7]]=>5 [3,4,2,8,1,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [8,3,4,1,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [4,3,7,5,1,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>5 [5,2,6,1,4,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>5 [5,3,7,4,2,8,6,1]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [7,2,5,8,6,1,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [5,3,1,4,6,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [4,6,2,1,3,7,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [2,5,4,1,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [4,2,5,6,7,8,9,1,3]=>[[1,3,6,7,8,9],[2,5],[4]]=>7 [3,1,6,7,8,4,5,2]=>[[1,2,5,8],[3,4,7],[6]]=>6 [7,4,5,6,2,1,8,3]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [4,2,5,6,7,8,9,10,1,3]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>8 [3,7,5,6,2,1,8,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [1,7,6,3,8,4,5,2]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,4,1,2,7,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,4,1,3,5,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [5,1,8,3,4,6,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [4,5,8,2,3,7,1,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [7,3,4,8,2,5,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [4,7,2,5,1,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [7,2,8,1,5,6,4,3]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [2,4,3,5,8,1,6,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [2,6,5,3,8,1,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [6,1,2,4,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>6 [6,5,8,2,7,3,4,1]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [1,7,6,8,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [1,7,6,5,3,8,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [6,1,2,4,3,5,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [4,6,1,3,7,8,5,2]=>[[1,2,5,8],[3,6,7],[4]]=>5 [8,4,1,5,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [1,5,6,3,8,7,2,4]=>[[1,2,4,7],[3,6],[5,8]]=>5 [5,3,2,6,8,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [6,3,5,2,7,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [8,5,2,6,7,1,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [5,3,8,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [6,4,5,3,1,8,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [8,5,1,2,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6 [2,8,6,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [8,3,2,6,1,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [3,8,6,4,7,1,2,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [1,8,7,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7],[8]]=>3 [8,6,4,7,1,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [3,1,4,7,6,2,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>5 [5,3,4,1,6,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [2,7,1,4,6,3,5,8]=>[[1,3,5,8],[2,4,6],[7]]=>4 [7,3,1,6,5,2,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [7,1,5,2,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [6,1,4,5,2,7,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [6,1,5,8,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [7,1,2,3,6,4,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>6 [2,8,4,6,5,1,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [7,4,1,3,6,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [5,7,2,8,1,3,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [6,5,1,4,7,3,2,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [2,7,8,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [2,4,6,5,7,8,1,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,4,6,7,5,8,1,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,4,6,3,7,8,1,5]=>[[1,3,5,7,8],[2,6],[4]]=>5 [2,4,5,6,8,7,1,3]=>[[1,3,5,6,7],[2,4],[8]]=>5 [2,4,5,6,8,3,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [2,4,5,6,3,8,1,7]=>[[1,3,5,6,7],[2,8],[4]]=>5 [2,3,4,6,8,5,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [5,2,8,3,4,1,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [3,6,4,1,2,7,8,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [4,1,7,3,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>4 [8,4,1,2,5,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,5,2,7,6,8,4,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [4,7,6,8,3,1,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [4,8,2,7,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [7,4,2,8,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>4 [8,6,5,2,7,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [6,5,8,2,7,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [7,5,8,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [3,2,1,6,5,8,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [2,6,4,8,5,7,3,1]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [6,3,1,4,5,8,2,7]=>[[1,2,5,7],[3,4,8],[6]]=>5 [3,4,8,5,2,1,7,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [4,8,7,1,3,2,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [5,8,7,4,6,1,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [3,4,1,8,7,6,2,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [1,3,5,6,8,7,2,4]=>[[1,2,4,6,7],[3,5],[8]]=>5 [2,8,7,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [5,8,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [4,6,1,3,2,8,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [2,6,5,8,3,1,4,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [6,7,8,2,4,5,3,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [3,2,8,4,5,7,1,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [6,1,8,2,4,5,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [8,3,6,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [1,3,8,4,7,6,2,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,3,7,5,4,1,2,6]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [2,6,4,7,8,5,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [5,4,3,7,6,1,8,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [8,6,3,7,1,4,2,5]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [3,1,2,8,7,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,5,4,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [8,3,2,1,6,4,7,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [2,3,8,4,1,7,5,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [4,6,1,3,2,7,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [6,7,2,5,8,4,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [4,1,7,8,2,5,6,3]=>[[1,2,3,6],[4,5,8],[7]]=>6 [3,4,6,7,1,5,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [3,4,5,7,8,1,6,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [1,8,7,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [2,4,5,8,1,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [6,3,1,5,8,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [2,8,3,5,6,1,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [1,3,6,4,2,7,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [2,3,7,5,8,1,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [3,2,8,5,6,1,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [7,2,5,8,1,4,6,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [4,7,5,8,1,2,6,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [4,7,5,8,1,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [3,4,7,5,2,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [4,3,2,5,7,8,1,6]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [2,4,7,5,8,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [2,5,4,7,3,8,1,6]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [3,7,8,4,2,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [8,5,4,7,6,3,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [1,5,4,8,7,6,2,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [3,2,4,5,8,1,6,7]=>[[1,4,5,6,7],[2,8],[3]]=>5 [3,6,8,4,2,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [7,4,1,6,2,8,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [1,3,6,8,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,6,7,4,3,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [7,3,1,6,5,2,8,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [8,5,4,1,6,2,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [4,7,2,8,5,1,6,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [7,8,6,2,1,5,4,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>3 [2,1,3,8,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [8,1,7,3,6,5,2,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [1,6,5,7,4,8,3,9,2]=>[[1,2,7,8,9],[3],[4],[5],[6]]=>5 [1,6,7,5,8,4,9,3,10,2]=>[[1,2,7,8,9,10],[3],[4],[5],[6]]=>6 [1,2,3,4,5,6,8,10,7,9]=>[[1,2,3,4,5,6,7,9],[8,10]]=>8 [3,4,5,6,7,8,2,1,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [3,4,5,6,7,2,1,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [4,5,6,7,8,1,2,3,9]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [4,8,1,6,3,7,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [1,7,6,2,4,8,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [2,8,4,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [2,7,8,3,6,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [3,8,1,4,6,5,2,7]=>[[1,2,5,7],[3,4],[6],[8]]=>5 [2,7,5,4,1,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [4,6,1,8,5,3,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [3,8,5,2,1,6,4,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [5,1,4,8,2,6,3,7]=>[[1,2,3,7],[4,6],[5,8]]=>5 [4,5,8,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [8,6,7,1,4,3,2,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [1,4,7,8,6,3,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [8,5,2,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [8,3,6,1,2,7,4,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [3,8,6,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [3,7,6,2,1,8,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [4,3,7,6,1,8,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [8,6,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>3 [6,8,1,5,4,7,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [6,7,2,5,4,8,1,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [7,6,2,4,8,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [4,6,8,7,3,1,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [4,7,5,2,6,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [3,5,6,2,8,1,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [6,1,8,2,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [1,6,8,2,5,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [5,4,8,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [2,5,6,4,3,8,1,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [8,6,3,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [8,7,3,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [8,4,2,7,6,5,1,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [4,6,3,8,5,2,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,1,3,8,5,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [5,2,8,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>5 [1,7,8,6,3,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [3,4,6,7,2,1,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [3,2,7,4,8,5,6,1]=>[[1,4,5,6],[2,7,8],[3]]=>5 [5,8,2,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [4,5,2,8,3,7,1,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [7,8,5,1,6,4,3,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>4 [8,7,5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [4,5,8,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [1,4,6,3,7,5,2,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [1,3,8,7,4,5,6,2]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [7,3,1,8,4,5,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [3,2,8,7,4,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [6,2,4,3,7,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [3,8,2,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [1,3,2,8,7,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [7,5,2,8,3,1,6,4]=>[[1,3,4],[2,6],[5,8],[7]]=>5 [4,6,3,7,8,1,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [6,2,5,4,1,7,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [8,5,1,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,1,5,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [2,8,5,1,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [5,6,4,1,8,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>5 [6,4,5,1,3,8,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [6,1,3,5,4,8,2,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,3,8,7,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [2,5,4,1,8,3,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [5,1,4,8,3,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [8,4,1,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [4,8,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>2 [1,8,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [5,3,1,2,4,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [8,5,7,3,1,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [3,1,2,8,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [1,4,3,8,5,7,2,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [6,7,1,5,2,8,4,3]=>[[1,2,3],[4,7,8],[5],[6]]=>5 [1,5,3,7,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [4,8,1,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [2,7,3,4,8,6,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [1,8,2,4,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [6,2,3,8,1,5,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [2,5,7,4,8,3,6,1]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [8,5,6,2,4,7,1,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [8,1,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [3,8,6,2,7,5,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [4,8,1,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,8,4,2,5,7,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [5,8,3,1,2,4,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [1,4,8,5,2,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [1,4,8,5,2,3,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,5,8,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,5,4,2,8,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [1,2,8,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [8,7,1,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [6,7,4,2,8,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [4,1,6,8,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [6,1,7,3,5,8,2,4]=>[[1,2,4,8],[3,5],[6,7]]=>5 [2,6,4,8,7,3,1,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [2,1,8,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [6,1,8,5,7,4,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [8,5,1,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [5,3,1,6,4,8,2,7]=>[[1,2,7],[3,4,8],[5,6]]=>5 [4,7,5,3,2,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [4,7,5,2,8,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [5,8,1,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [6,3,1,8,2,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [4,6,3,7,8,1,5,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [6,3,1,8,4,5,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>5 [7,6,2,4,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [6,5,8,1,4,3,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [8,1,4,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,7,2,8,3,9,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,2,8,3,9,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,2,8,9,3,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,2,8,9,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,2,8,9,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,8,2,3,9,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,8,2,3,9,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,8,2,9,3,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,8,2,9,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,8,2,9,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,8,9,2,3,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,8,9,2,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [1,7,8,9,2,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,2,8,3,9,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,2,8,3,9,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,2,8,9,3,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,2,8,9,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,2,8,9,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,8,2,3,9,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,8,2,3,9,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,8,2,9,3,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,8,2,9,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,8,9,2,3,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,8,9,2,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,8,9,2,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,1,8,9,10,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,1,2,3,9,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,1,2,3,9,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,1,2,9,3,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,1,2,9,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,1,2,9,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,1,9,2,3,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,1,9,2,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,1,9,2,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,1,9,10,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,9,1,2,3,4,10,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,9,1,2,3,10,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,9,1,2,10,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [7,8,9,1,10,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [8,6,3,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [6,8,3,1,2,5,4,7]=>[[1,2,4,7],[3,5],[6,8]]=>4 [5,8,6,4,7,1,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [2,5,1,8,7,3,4,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [7,2,4,3,8,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [6,8,4,3,5,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [1,4,7,3,6,8,2,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [3,7,1,4,6,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [2,4,7,3,6,8,1,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [8,5,7,6,1,3,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [2,7,5,6,1,8,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [1,2,6,7,4,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>6 [6,5,2,8,7,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>3 [7,2,3,6,8,1,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,6,1,3,8,5,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [6,4,1,8,3,2,5,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [5,8,1,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [2,3,1,6,8,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [6,4,8,2,1,7,3,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [2,3,1,8,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [1,5,6,7,2,4,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [2,8,6,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [6,7,4,5,1,3,8,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [1,6,5,3,8,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [8,5,1,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [4,1,8,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [3,2,4,6,1,8,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [3,6,7,4,1,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>6 [1,4,7,5,8,2,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [1,6,8,4,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [3,6,7,5,4,8,1,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [4,5,7,2,6,3,8,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [2,1,5,7,4,6,8,3]=>[[1,3,6,8],[2,4,7],[5]]=>4 [2,3,5,7,8,1,6,4]=>[[1,3,4,6,8],[2,5],[7]]=>5 [1,5,7,4,2,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [2,4,7,5,3,6,8,1]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [8,1,7,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,2,4,7,8,6,3,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,3,6,2,5,8,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,5,3,6,8,2,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [4,8,1,2,6,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [5,8,1,2,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,6,2,3,7,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [4,1,2,6,5,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [1,8,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [1,7,5,2,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [8,1,4,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [8,4,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [2,6,1,8,3,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [8,4,2,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [2,5,1,7,6,8,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [5,3,1,8,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [1,2,6,3,7,5,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [5,1,8,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [3,1,5,4,6,7,8,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [2,8,5,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [2,6,8,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,4,2,1,3,8,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [7,2,1,3,8,5,4,6]=>[[1,3,4,6],[2,5],[7,8]]=>5 [2,1,7,3,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [1,7,5,3,2,4,8,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,4,2,7,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [3,4,1,6,5,7,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [2,8,7,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [5,7,6,2,3,8,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [4,5,7,6,2,8,1,3]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [3,1,8,7,5,2,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [4,5,6,8,7,2,1,3]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [2,8,3,1,5,4,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>4 [3,8,4,1,5,2,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>5 [1,8,6,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [4,8,3,1,6,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>4 [2,8,3,1,6,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [6,2,7,1,5,8,4,3]=>[[1,3,8],[2,4],[5,7],[6]]=>4 [1,7,8,9,6,5,4,3,2]=>[[1,2,8,9],[3],[4],[5],[6],[7]]=>4 [1,6,7,8,9,5,4,3,2]=>[[1,2,7,8,9],[3],[4],[5],[6]]=>5 [1,5,6,7,8,9,4,3,2]=>[[1,2,6,7,8,9],[3],[4],[5]]=>6 [1,4,5,6,7,8,9,3,2]=>[[1,2,5,6,7,8,9],[3],[4]]=>7 [1,8,9,10,7,6,5,4,3,2]=>[[1,2,9,10],[3],[4],[5],[6],[7],[8]]=>4 [1,7,6,8,9,5,4,3,2]=>[[1,2,8,9],[3],[4],[5],[6],[7]]=>4 [1,7,8,9,10,6,5,4,3,2]=>[[1,2,8,9,10],[3],[4],[5],[6],[7]]=>5 [1,6,5,7,8,9,4,3,2]=>[[1,2,7,8,9],[3],[4],[5],[6]]=>5 [1,6,7,8,9,10,5,4,3,2]=>[[1,2,7,8,9,10],[3],[4],[5],[6]]=>6 [1,5,4,6,7,8,9,3,2]=>[[1,2,6,7,8,9],[3],[4],[5]]=>6 [1,5,6,7,8,9,10,4,3,2]=>[[1,2,6,7,8,9,10],[3],[4],[5]]=>7 [1,4,5,6,7,8,9,10,3,2]=>[[1,2,5,6,7,8,9,10],[3],[4]]=>8 [4,8,5,1,3,2,6,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [5,4,3,1,2,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [4,1,6,5,2,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [7,1,5,2,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [4,1,6,3,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>5 [4,6,1,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [4,1,3,6,7,2,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [2,6,5,1,3,4,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>5 [2,6,7,4,3,1,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [2,6,3,1,7,4,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>6 [6,5,3,7,2,4,1,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>4 [2,3,6,7,1,5,4,8]=>[[1,3,4,7,8],[2,5],[6]]=>5 [2,7,5,8,1,3,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [5,1,6,7,3,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [5,6,1,4,7,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>6 [1,2,5,7,8,6,3,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,2,7,8,4,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [8,6,5,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [4,3,8,6,7,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [8,3,2,4,7,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [7,3,2,8,6,1,5,4]=>[[1,4],[2,5],[3,6],[7,8]]=>3 [7,5,8,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7,8]]=>4 [7,4,1,2,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [5,2,7,4,6,1,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [7,4,1,2,3,6,8,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [5,4,8,6,3,2,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [8,4,6,7,3,1,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [6,3,5,7,1,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [1,8,5,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [1,6,7,3,4,2,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>6 [1,6,8,3,4,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [1,8,7,5,3,4,2,6]=>[[1,2,4,6],[3],[5],[7],[8]]=>4 [1,7,8,5,3,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [1,7,6,8,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,7,8,6,4,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [5,1,7,8,4,2,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [3,8,2,1,6,7,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [2,8,3,1,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [7,5,8,9,10,4,6,3,2,1]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>5 [2,7,4,1,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [2,1,6,4,7,8,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>5 [5,7,8,3,4,2,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [4,7,5,3,8,2,6,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [2,6,4,7,8,5,3,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [7,8,4,5,6,1,3,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [2,5,1,8,4,6,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>4 [6,5,8,3,4,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [8,2,7,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [6,8,7,3,2,1,4,5]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [3,4,8,2,7,1,5,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [7,2,6,1,4,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [7,8,1,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [7,2,8,3,4,5,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [6,1,8,3,4,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [7,5,1,2,4,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [7,6,8,1,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [2,4,3,7,8,5,6,1]=>[[1,3,5,6],[2,7,8],[4]]=>5 [2,1,7,6,3,4,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>5 [6,1,5,3,8,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [2,3,6,8,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>4 [3,2,4,8,6,1,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>4 [2,1,3,8,4,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [3,1,2,8,5,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [2,1,3,7,8,4,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [2,1,3,8,4,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [3,1,2,8,4,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,2,8,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [4,6,7,2,3,8,1,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [3,2,6,5,7,8,1,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [6,1,5,8,4,7,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [1,4,6,8,5,7,2,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [2,8,5,1,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,4,7,1,8,3,6,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [6,1,5,4,2,3,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [6,4,5,1,2,8,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [8,4,1,5,7,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [8,1,6,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [4,6,2,5,3,8,1,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [4,6,5,2,1,8,3,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [5,8,4,3,6,7,2,1]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [6,8,2,1,5,3,4,7]=>[[1,3,4,7],[2,5],[6,8]]=>4 [2,5,3,8,6,7,4,1]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [3,2,6,5,1,8,4,7]=>[[1,4,7],[2,5,8],[3,6]]=>3 [7,4,5,8,1,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [4,5,8,1,6,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [5,1,8,4,6,7,3,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [6,5,3,8,1,7,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [8,3,7,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,1,4,6,5,7,2,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [8,1,7,5,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,6,1,5,3,7,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [7,2,3,6,8,1,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [2,6,3,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [6,3,8,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [7,2,5,6,3,4,8,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [7,2,8,6,3,1,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,2,4,5,8,6,3,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [6,3,8,4,7,2,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [7,2,3,6,8,5,4,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [7,2,8,5,4,1,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [7,4,5,2,8,1,6,3]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [7,5,4,2,8,1,6,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [7,6,3,2,8,4,5,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [7,2,3,6,8,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [7,2,5,4,8,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [7,2,8,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [7,4,5,2,8,3,6,1]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [5,1,3,2,4,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [6,5,3,4,1,8,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [6,4,5,3,8,1,2,7]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [7,2,4,6,3,8,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [2,8,3,7,6,1,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [5,4,2,6,8,7,3,1]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [3,7,2,5,8,6,4,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [2,4,8,7,6,1,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [3,2,8,7,4,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,2,6,5,1,4,3,7]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [4,8,5,2,7,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [2,8,6,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [3,8,4,7,2,1,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [4,8,5,1,7,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [5,8,1,7,6,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [3,4,6,2,5,7,1,8]=>[[1,4,5,7,8],[2,6],[3]]=>5 [1,7,5,2,6,8,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [7,4,8,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>4 [1,5,4,3,8,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [1,5,8,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [3,5,6,2,4,7,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,6,7,2,4,8,1]=>[[1,4,6,7,8],[2,5],[3]]=>5 [3,5,7,6,8,2,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,5,7,2,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,5,2,7,6,8,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,5,7,4,2,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,5,4,7,2,6,8,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,4,5,7,2,6,8,1]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,4,5,7,2,8,6,1]=>[[1,4,5,6,8],[2,7],[3]]=>5 [3,5,4,7,8,2,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,5,4,7,2,8,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,2,5,7,4,8,6,1]=>[[1,4,6,8],[2,5,7],[3]]=>4 [3,5,7,4,2,8,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [3,5,7,8,4,2,6,1]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [2,3,5,7,8,4,6,1]=>[[1,3,4,6,8],[2,7],[5]]=>5 [3,5,2,7,8,6,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,5,7,8,2,6,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,5,7,8,6,2,4,1]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [3,2,5,6,7,8,9,1,4]=>[[1,4,6,7,8,9],[2,5],[3]]=>6 [4,2,5,6,7,3,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [4,2,5,6,7,8,9,3,1]=>[[1,3,6,7,8,9],[2,5],[4]]=>7 [8,6,1,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [6,1,8,4,3,5,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [5,1,6,4,8,2,3,7]=>[[1,2,3,7],[4,6,8],[5]]=>5 [8,1,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5],[8]]=>6 [2,8,4,1,5,3,6,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [8,4,1,3,5,2,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [4,1,8,3,5,2,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [8,3,1,2,5,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [3,1,8,2,5,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [4,2,5,1,8,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [5,2,4,8,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [7,3,2,4,6,8,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [1,4,8,6,7,2,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,4,5,7,3,8,2,6]=>[[1,2,5,6,8],[3,7],[4]]=>5 [4,6,8,1,2,5,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [3,5,6,8,2,1,4,7]=>[[1,4,6,7],[2,5,8],[3]]=>4 [8,2,5,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [2,4,5,8,6,3,1,7]=>[[1,3,5,6,7],[2],[4],[8]]=>5 [5,4,8,2,3,1,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>3 [4,7,5,8,2,3,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [4,6,7,5,1,8,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [1,7,3,6,5,8,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [8,3,4,2,6,7,1,5]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [7,5,3,8,6,2,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>4 [7,3,1,8,2,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [4,6,7,5,2,8,3,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [5,8,7,2,4,3,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [5,1,2,8,6,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [2,5,7,8,6,1,4,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [7,2,6,8,4,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [5,1,7,6,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,7,6,2,4,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [7,1,6,2,4,5,3,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [5,7,1,6,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [6,2,5,8,3,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [5,6,8,7,1,3,2,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [1,5,3,4,8,2,6,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [2,1,3,6,5,8,4,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [5,1,2,8,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [6,1,5,7,8,4,2,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [4,6,1,5,7,2,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [2,5,8,4,6,3,7,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [4,3,7,1,2,6,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [8,1,6,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [6,8,1,5,2,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [4,5,8,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [1,7,3,2,4,8,6,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [4,3,1,8,2,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [4,8,1,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [1,7,5,3,8,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>5 [2,5,3,8,1,4,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [4,2,5,8,1,3,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [8,1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [2,4,3,8,1,5,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [3,1,7,4,8,6,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [6,4,5,3,2,8,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [2,7,3,8,5,1,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [8,7,3,2,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>3 [3,1,8,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [7,6,2,8,1,4,5,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [2,3,8,4,1,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [8,4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>5 [7,1,6,2,4,8,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [2,7,8,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [6,5,8,1,3,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [2,1,8,5,3,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [8,4,1,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [8,6,1,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6],[8]]=>5 [7,8,1,5,2,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [2,8,6,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [5,7,2,8,4,1,6,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [2,5,6,3,8,1,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [1,3,4,5,6,7,2,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>8 [7,4,5,6,8,1,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [7,6,8,1,4,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [7,5,1,8,4,6,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [1,7,8,5,6,4,3,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [2,8,1,7,4,5,3,6]=>[[1,3,5,6],[2,4],[7],[8]]=>4 [7,3,6,2,5,4,8,1]=>[[1,4,8],[2,5],[3],[6],[7]]=>3 [1,6,2,3,5,8,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,8,5,6,4,3,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [2,6,8,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [4,6,5,7,8,1,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [2,5,8,6,4,7,1,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [5,3,2,1,7,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [8,4,1,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [5,3,8,1,4,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [4,3,5,8,1,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [2,5,3,6,8,4,1,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [4,6,2,5,1,7,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [2,3,1,7,4,8,6,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [1,8,3,6,4,2,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [2,1,7,4,8,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [8,1,7,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [7,8,5,2,6,4,3,1]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [8,1,2,5,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [8,2,5,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [6,8,7,4,1,5,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>5 [8,6,4,7,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [6,1,2,4,7,8,3,5]=>[[1,2,3,5,8],[4,7],[6]]=>6 [3,5,2,1,7,8,6,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [4,2,7,8,6,5,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [1,2,7,8,6,4,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [4,8,1,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [7,1,6,3,2,4,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [6,4,8,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [7,4,1,3,6,8,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [7,2,5,1,6,4,3,8]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [5,2,7,1,4,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>4 [6,3,8,5,7,1,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [2,4,3,8,5,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [2,8,3,1,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [4,5,7,6,1,3,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [3,7,1,6,5,8,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [7,4,3,6,8,2,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [3,8,5,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7],[8]]=>4 [1,4,6,8,7,3,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,6,5,1,3,8,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [5,4,6,2,1,8,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [3,2,8,5,1,4,6,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [3,5,4,1,2,8,6,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [5,3,8,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [5,3,8,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [1,4,7,5,8,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [8,5,7,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>4 [7,5,2,6,1,4,8,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [2,4,5,1,8,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [7,2,8,5,3,4,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [6,4,5,3,1,7,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [7,3,5,6,4,1,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [2,5,6,3,4,1,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [4,6,2,1,5,8,3,7]=>[[1,3,7],[2,5,8],[4,6]]=>4 [4,6,7,2,3,8,5,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [4,5,3,7,8,1,2,6]=>[[1,2,6,8],[3,5,7],[4]]=>5 [2,3,5,8,1,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [1,7,4,5,8,3,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [2,8,5,6,3,1,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [4,8,2,6,1,5,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [2,3,7,8,1,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [5,2,6,7,8,3,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [5,6,2,7,8,3,1,4]=>[[1,3,4,8],[2,6,7],[5]]=>6 [2,3,7,5,8,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [3,7,8,5,1,4,6,2]=>[[1,2,6],[3,4,8],[5],[7]]=>5 [2,5,6,7,1,8,4,3]=>[[1,3,6,7,8],[2,4],[5]]=>5 [6,4,7,8,1,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [7,5,8,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [1,2,8,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [5,1,4,8,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [4,3,1,8,7,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [4,3,2,7,6,1,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [7,2,6,5,3,1,4,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [1,3,7,6,2,4,8,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [1,3,8,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,2,7,1,6,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [4,3,2,8,1,7,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [7,5,4,1,6,3,8,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [1,6,5,3,2,4,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,7,3,5,2,4,8,6]=>[[1,2,4,6],[3,5,8],[7]]=>5 [4,3,7,2,5,1,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [5,1,4,3,2,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [7,2,1,3,5,4,6,8]=>[[1,3,4,6,8],[2,5],[7]]=>5 [8,3,7,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [1,6,8,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [1,3,6,2,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,2,7,3,8,4,9,5,10,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>9 [4,5,7,6,3,1,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [4,6,7,5,1,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [3,6,5,1,4,7,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [4,6,7,3,1,5,8,2]=>[[1,2,7,8],[3,5],[4,6]]=>5 [5,4,1,8,7,3,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [6,2,4,7,5,3,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,2,5,1,8,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [3,2,6,1,5,8,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [4,2,3,6,7,5,1,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [6,2,3,5,7,4,1,8]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [1,6,3,8,4,7,2,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [8,1,5,2,4,7,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [7,5,8,1,4,2,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [4,1,2,3,6,5,8,7,10,9]=>[[1,2,3,5,7,9],[4,6,8,10]]=>6 [1,3,4,8,5,6,2,7]=>[[1,2,4,5,6,7],[3],[8]]=>6 [3,2,7,1,8,6,5,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [6,2,4,1,5,7,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [5,8,4,1,3,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [6,7,2,3,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [5,2,8,1,7,4,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>3 [2,5,4,7,3,1,8,6]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [4,6,3,1,2,5,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [7,4,6,8,3,1,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [8,5,4,7,3,1,2,6]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [7,3,2,1,5,4,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [2,5,6,4,8,1,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [1,3,6,5,2,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [5,4,1,2,7,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>5 [5,8,7,3,1,2,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [2,7,8,1,4,5,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [4,1,2,8,7,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [6,1,2,4,3,8,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [3,7,8,1,2,4,6,5]=>[[1,2,4,5],[3,6,8],[7]]=>5 [7,3,4,1,2,6,8,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [8,4,3,1,2,6,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [3,8,2,7,4,5,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [8,6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [8,2,6,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,4,3,7,2,5,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [8,3,1,7,4,5,2,6]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [8,2,4,5,1,7,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [6,8,2,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>4 [4,3,8,1,7,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [8,4,3,7,1,5,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [8,3,4,7,2,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,1,3,7,6,4,5,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [8,3,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>5 [8,7,3,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [8,3,7,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>3 [8,7,2,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [8,2,7,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [5,1,8,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [8,2,4,7,3,1,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,2,7,6,3,1,4,5]=>[[1,3,4,5],[2],[6],[7],[8]]=>4 [6,8,1,4,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [8,5,7,2,6,3,1,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [5,8,2,7,3,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [8,1,2,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [8,4,1,7,5,6,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [8,2,4,7,6,5,1,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,2,7,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,4,7,2,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,2,4,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,1,7,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,1,2,7,6,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,1,4,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [2,8,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [1,8,2,4,7,5,6,3]=>[[1,2,3,5,6],[4],[7],[8]]=>5 [2,3,8,4,7,1,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [1,8,2,3,5,6,4,7]=>[[1,2,3,4,6,7],[5],[8]]=>6 [1,4,7,6,2,3,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,7,6,2,3,8,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,8,2,3,7,6,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,7,3,8,6,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [5,8,2,3,7,4,1,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [4,2,8,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [1,3,5,6,4,8,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [4,6,1,8,2,7,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>5 [3,4,8,5,6,1,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [1,7,6,2,5,4,8,3]=>[[1,2,3,8],[4],[5],[6],[7]]=>4 [5,6,1,7,4,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [3,7,2,1,5,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,1,5,6,4,2,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>6 [8,1,6,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [2,1,6,5,3,8,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [3,7,5,6,4,2,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [6,1,4,3,7,5,8,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [3,8,6,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [4,5,8,6,2,3,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,6,8,5,3,7,2,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [4,5,7,2,8,6,3,1]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [3,7,4,5,1,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [4,6,8,1,2,5,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>5 [4,6,8,5,1,3,7,2]=>[[1,2,7],[3,5,8],[4],[6]]=>4 [3,7,4,5,2,8,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [3,7,8,4,6,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [4,5,7,2,1,6,8,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [4,5,1,6,8,3,7,2]=>[[1,2,6,7],[3,5,8],[4]]=>5 [8,3,5,4,6,1,2,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [1,7,4,5,2,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [1,4,2,6,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [3,1,5,8,4,6,2,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [8,2,6,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6],[8]]=>5 [4,6,5,8,2,1,3,7]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [1,4,8,3,5,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,8,7,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [9,1,5,2,8,6,3,7,4]=>[[1,2,3,4],[5,6,7],[8],[9]]=>6 [4,3,1,8,5,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [7,3,2,4,8,1,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [3,7,2,4,5,8,1,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [3,2,7,4,6,1,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [8,3,2,4,6,1,7,5]=>[[1,4,5,7],[2,6],[3],[8]]=>4 [8,3,2,4,5,7,1,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [7,4,6,2,1,3,8,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [3,6,7,2,4,1,8,5]=>[[1,4,5,8],[2,6,7],[3]]=>5 [5,4,8,7,6,2,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>3 [5,2,3,8,7,1,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>4 [7,5,2,4,1,3,8,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [7,2,6,8,5,1,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [8,2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>5 [7,4,3,8,1,6,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>4 [6,5,1,4,3,8,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [4,7,6,2,5,8,1,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [2,6,4,5,8,3,1,7]=>[[1,3,5,7],[2,8],[4],[6]]=>4 [3,7,4,8,6,2,5,1]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [7,3,5,2,8,1,4,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [1,5,8,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,7,2,4,5,8,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [1,4,6,8,7,2,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [1,6,2,7,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,3,7,2,6,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,7,3,2,8,5,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [1,6,5,2,4,8,3,7]=>[[1,2,3,7],[4,8],[5],[6]]=>4 [1,7,3,8,4,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,6,2,4,7,5,8,3]=>[[1,2,3,5,8],[4,7],[6]]=>6 [1,6,2,7,4,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [1,5,8,2,3,6,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [2,5,3,6,7,1,4,8]=>[[1,3,4,7,8],[2,6],[5]]=>6 [6,4,1,5,7,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>6 [6,4,1,5,7,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [1,2,7,3,8,5,6,4]=>[[1,2,3,4,6],[5,8],[7]]=>6 [7,4,1,6,3,8,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [1,5,7,4,3,8,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [2,7,3,1,4,5,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [6,5,8,3,2,7,1,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>3 [8,4,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>3 [1,2,6,7,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [3,4,5,6,8,2,7,1]=>[[1,4,5,6,7],[2,8],[3]]=>5 [7,2,1,4,5,6,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [1,5,6,7,3,4,2,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [4,6,8,5,2,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [1,6,7,8,2,4,5,3]=>[[1,2,3,5],[4,7,8],[6]]=>6 [5,7,8,2,3,1,6,4]=>[[1,3,4],[2,6,8],[5,7]]=>5 [4,5,2,7,8,6,1,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [1,3,5,8,7,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [6,4,1,8,5,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [4,1,3,8,7,5,2,6]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [8,5,1,6,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [3,6,7,2,1,5,8,4]=>[[1,4,7,8],[2,5],[3,6]]=>4 [2,5,6,1,3,8,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [7,2,5,6,1,3,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [4,7,3,5,2,6,8,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [2,3,5,4,7,1,8,6]=>[[1,3,4,6,8],[2,7],[5]]=>5 [6,8,4,1,5,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [8,1,6,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [2,8,3,6,4,1,7,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [6,5,3,4,8,2,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [3,4,5,1,2,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [5,2,7,6,8,3,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [8,4,5,2,7,3,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [6,3,7,4,5,2,8,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,3,4,2,8,5,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [4,3,6,5,8,2,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [8,2,7,4,5,3,6,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [7,2,8,4,5,3,6,1]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [6,3,8,2,7,4,5,1]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [3,2,8,4,7,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [8,3,6,2,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [1,7,8,4,3,6,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [1,7,8,3,6,5,4,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>4 [5,8,1,7,2,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [2,5,7,3,8,1,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [8,3,5,2,1,6,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [2,6,4,7,1,8,5,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [1,8,5,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [6,1,4,2,7,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [6,5,1,3,7,8,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [5,8,7,3,2,4,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [5,1,3,2,6,8,4,7]=>[[1,2,4,7],[3,6,8],[5]]=>5 [2,4,1,7,5,6,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>5 [1,4,3,7,6,2,8,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [1,6,2,5,7,3,8,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,4,3,8,2,5,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>4 [1,5,7,3,6,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [1,6,7,2,4,8,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [3,7,2,8,4,1,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>5 [5,3,4,1,7,8,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [4,7,6,5,8,2,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [1,2,6,8,4,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [7,2,6,3,1,8,4,5]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [5,8,4,1,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [3,4,2,1,6,8,5,7]=>[[1,4,5,7],[2,6,8],[3]]=>4 [8,1,3,5,6,4,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [3,4,7,1,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [4,8,2,6,5,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [4,8,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [5,8,6,4,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>3 [8,5,2,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [2,8,6,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,3,2,6,4,1,7,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [8,4,1,5,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,3,5,1,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [8,5,1,3,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [3,8,6,2,5,4,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [3,8,4,6,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>4 [8,1,7,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,3,2,5,1,4,7,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [8,4,5,1,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [8,1,5,3,2,6,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [8,1,5,2,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [5,2,6,4,1,3,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [8,6,4,7,1,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [2,1,8,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [6,4,8,5,3,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [6,8,5,4,7,2,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [2,5,7,3,4,8,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [5,2,4,7,8,1,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [10,1,8,9,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8,9],[10]]=>6 [4,8,5,6,1,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [2,5,6,8,7,1,4,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [1,7,8,5,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [4,6,8,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [2,3,7,5,8,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [3,8,5,1,2,4,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>4 [1,3,6,4,8,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [1,2,3,4,6,5,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>9 [1,2,3,4,5,6,8,7,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>9 [1,7,6,2,8,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,5,8,6,4,7,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [5,6,2,8,1,7,3,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [6,8,4,5,1,3,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [5,2,3,8,1,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [1,6,8,3,2,4,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [7,3,5,4,8,2,6,1]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [7,3,6,8,4,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [1,6,5,7,4,2,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [1,2,7,4,8,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [2,6,7,4,8,5,1,3]=>[[1,3,5,8],[2,4],[6,7]]=>5 [2,5,8,6,4,3,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [6,4,2,5,7,1,8,3]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [9,1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>6 [8,1,4,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [8,3,7,2,4,5,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [10,1,2,3,4,5,6,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>7 [8,1,4,5,7,3,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [5,6,3,4,2,8,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [2,5,7,4,6,8,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [2,5,6,4,1,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [4,6,1,3,5,7,2,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [3,6,5,8,1,7,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [4,5,2,8,6,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,2,3,6,8,5,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [6,4,1,3,7,8,2,5]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [6,3,1,2,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [8,2,6,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [1,5,8,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [4,3,7,8,2,6,5,1]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [3,8,5,1,2,6,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,4,7,8,3,6,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [5,4,7,8,3,6,1,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [6,8,1,3,2,5,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [1,4,8,5,7,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [1,8,7,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [8,6,2,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [8,6,2,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [5,6,3,2,8,7,1,4]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,1,6,7,8,3,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [1,5,6,3,7,2,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [1,5,6,7,4,2,3,8]=>[[1,2,3,7,8],[4,6],[5]]=>6 [5,1,6,7,3,4,2,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [8,6,1,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [6,8,5,1,7,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [8,4,2,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [4,8,5,2,3,1,6,7]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [5,4,8,3,1,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [8,4,7,3,2,5,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [6,8,5,1,7,3,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [6,2,7,3,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [8,4,2,6,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [1,7,8,3,6,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [4,6,7,5,1,8,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [3,5,2,6,8,7,4,1]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [7,3,6,8,4,1,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [6,4,2,3,7,5,8,1]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,3,7,5,1,2,8,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [7,2,5,4,8,6,3,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [6,2,3,8,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,1,2,8,4,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [3,5,8,1,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [1,4,3,6,8,5,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [7,6,2,8,5,3,4,1]=>[[1,3,4],[2,8],[5],[6],[7]]=>4 [6,8,3,5,4,7,2,1]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [8,2,7,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [8,3,7,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7],[8]]=>4 [8,5,7,1,4,2,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>4 [4,5,7,1,6,3,8,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [4,6,5,7,2,3,8,1]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [3,6,7,2,5,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [5,3,6,7,4,8,1,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [4,2,7,8,3,6,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [4,2,7,8,5,6,1,3]=>[[1,3,6],[2,5,8],[4,7]]=>5 [5,4,3,7,8,1,6,2]=>[[1,2,8],[3,6],[4,7],[5]]=>4 [3,5,7,8,4,2,1,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [4,6,7,3,2,8,1,5]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [4,6,5,3,7,8,1,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [5,6,2,4,7,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [5,6,3,2,8,4,7,1]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [5,6,2,8,3,4,7,1]=>[[1,3,4,7],[2,6,8],[5]]=>5 [3,7,4,8,1,6,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [5,2,4,8,6,7,3,1]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [5,2,6,4,8,7,3,1]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [2,4,7,8,6,5,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [5,2,6,7,8,1,4,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [4,8,2,7,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [1,2,4,6,5,8,3,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [5,4,2,3,1,7,8,6]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [3,5,8,1,7,4,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [5,8,6,1,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,1,4,3,8,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [8,4,7,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [3,8,6,7,5,2,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [8,2,5,4,7,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [4,2,8,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [3,7,8,6,1,4,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [4,6,7,8,2,1,5,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,7,6,3,8,1,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [3,8,1,4,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [2,4,5,3,8,7,1,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [4,7,5,6,2,8,1,3]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [8,7,5,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [7,8,6,2,3,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [2,8,4,6,7,3,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [4,1,6,7,8,2,5,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [8,6,3,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [2,5,8,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5,8]]=>4 [4,7,8,6,5,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [6,8,4,7,3,5,2,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [7,4,5,8,3,6,2,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [3,6,4,2,8,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [3,8,6,2,1,7,4,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [3,1,8,2,4,6,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [8,1,7,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>3 [8,5,4,3,7,6,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [4,8,1,3,6,7,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [3,5,8,6,1,7,4,2]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [8,1,4,7,5,2,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,4,8,6,7,3,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [4,1,6,7,8,5,3,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [3,7,8,6,4,1,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [4,6,1,5,7,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>6 [4,8,5,3,2,7,1,6]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [5,4,8,1,3,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [8,4,5,3,1,7,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [7,4,5,3,1,8,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [5,6,8,7,2,4,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [5,7,8,6,4,2,3,1]=>[[1,3,8],[2,6],[4],[5],[7]]=>4 [6,8,7,5,1,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [3,8,2,6,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [4,7,6,3,8,2,5,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [6,7,4,1,8,2,5,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [5,7,6,8,3,2,4,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [7,6,4,2,8,1,5,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [6,3,4,8,7,1,2,5]=>[[1,2,5],[3,4,7],[6,8]]=>5 [2,7,4,8,1,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>4 [5,3,1,6,7,8,2,4]=>[[1,2,4,8],[3,6,7],[5]]=>6 [3,4,7,8,6,1,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [2,1,4,7,8,6,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,4,5,8,1,6,3,7]=>[[1,3,5,6,7],[2,4],[8]]=>5 [1,8,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [1,8,7,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [6,4,8,5,7,3,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [1,6,4,7,2,5,8,3]=>[[1,2,3,8],[4,5],[6,7]]=>6 [2,7,5,1,8,6,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [4,7,1,6,5,3,8,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [1,7,5,6,4,8,2,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [2,4,8,5,7,3,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [7,2,6,4,5,8,1,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [2,7,1,5,3,8,6,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [3,5,7,2,8,4,1,6]=>[[1,4,6,8],[2,5,7],[3]]=>4 [2,4,3,8,5,1,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [7,3,2,1,4,8,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [2,8,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [4,7,6,8,2,5,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [2,6,7,1,4,5,8,3]=>[[1,3,5,8],[2,4,7],[6]]=>5 [8,7,2,6,1,5,3,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [7,1,3,8,2,6,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [6,2,5,3,4,7,1,8]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [2,7,3,4,1,5,8,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [2,5,8,1,6,7,3,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [6,2,8,3,4,5,1,7]=>[[1,3,4,5,7],[2,8],[6]]=>5 [3,5,4,1,6,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [4,5,7,2,8,3,1,6]=>[[1,3,6,8],[2,5,7],[4]]=>5 [3,5,1,7,6,2,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [3,8,5,1,2,4,6,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [8,5,1,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5],[8]]=>5 [5,8,4,1,2,3,6,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [3,5,8,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>4 [2,8,5,7,1,4,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [4,8,7,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,1,2,4,6,3,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>5 [7,6,1,4,2,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [6,1,2,7,8,4,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [7,8,1,2,5,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,8,4,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,4,7,2,1,6,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [4,5,8,2,1,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [7,4,2,5,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [3,1,6,7,5,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>5 [8,4,2,5,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,8,1,5,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [4,1,7,5,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6 [7,1,5,3,6,8,2,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [4,5,2,6,1,8,3,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [5,1,8,6,7,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [5,4,8,2,1,3,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [1,4,8,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [1,3,8,4,2,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [7,2,8,3,1,4,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [8,1,3,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,9,5,6,4,10,3,7,2,1]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>5 [7,8,9,5,10,4,6,3,2,1]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>5 [7,6,1,8,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [8,4,1,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>4 [5,4,2,8,1,6,3,7]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [8,7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>3 [7,2,8,4,3,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>4 [1,7,5,4,8,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [4,8,6,3,5,2,1,7]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [5,7,3,2,8,6,4,1]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [4,5,1,6,8,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [1,3,4,6,8,2,9,5,10,7]=>[[1,2,4,5,7,9,10],[3,6,8]]=>7 [1,6,3,7,2,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [4,3,1,6,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>5 [5,2,1,4,8,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [4,5,2,1,3,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>5 [8,2,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [3,2,8,4,1,6,5,7]=>[[1,4,5,7],[2,6],[3,8]]=>4 [7,1,8,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [2,7,6,4,5,1,8,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [3,6,8,1,5,7,4,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [2,8,3,1,6,7,4,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [4,5,6,8,2,1,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>5 [4,5,6,8,1,3,7,2]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,5,8,3,2,1,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [4,5,1,3,2,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>6 [4,7,3,2,1,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,7,8,3,5,1,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [4,7,1,3,5,6,2,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [4,8,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [5,2,8,1,4,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [5,6,3,7,8,1,4,2]=>[[1,2,7,8],[3,4],[5,6]]=>6 [5,7,1,4,3,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [6,2,3,7,1,5,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>5 [6,2,8,1,5,4,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [6,1,3,4,5,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>6 [7,1,3,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>6 [7,2,5,1,3,6,4,8]=>[[1,3,4,8],[2,5,6],[7]]=>5 [6,5,2,7,8,4,3,1]=>[[1,3,8],[2,7],[4],[5],[6]]=>4 [7,5,3,6,4,2,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [1,3,6,7,5,2,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,5,2,6,8,7,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [3,2,1,5,6,7,8,9,4]=>[[1,4,6,7,8,9],[2,5],[3]]=>6 [4,3,2,1,6,7,8,9,5]=>[[1,5,7,8,9],[2,6],[3],[4]]=>5 [5,4,3,2,1,7,8,9,6]=>[[1,6,8,9],[2,7],[3],[4],[5]]=>4 [6,5,4,3,2,1,8,9,7]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>3 [3,2,1,5,6,7,8,9,10,4]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>7 [4,3,2,1,6,7,8,9,10,5]=>[[1,5,7,8,9,10],[2,6],[3],[4]]=>6 [2,7,8,9,1,3,4,5,10,6]=>[[1,3,4,5,6],[2,7,8,9,10]]=>8 [5,4,3,2,1,7,8,9,10,6]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>5 [6,5,4,3,2,1,8,9,10,7]=>[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>4 [7,6,5,4,3,2,1,9,10,8]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>3 [4,8,5,7,1,2,3,6]=>[[1,2,3,6],[4,5,7],[8]]=>5 [4,2,3,7,6,1,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [4,2,6,3,1,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [4,6,3,2,5,8,7,1]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [5,8,4,3,2,6,1,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>3 [1,5,7,4,8,6,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [6,1,5,7,3,8,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,2,7,8,6,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [3,5,1,7,8,6,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [5,2,4,1,7,6,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [1,3,4,2,6,5,7,9,10,8]=>[[1,2,4,5,7,8,10],[3,6,9]]=>7 [1,3,4,2,5,7,6,9,10,8]=>[[1,2,4,5,6,8,10],[3,7,9]]=>7 [1,3,4,2,5,6,8,9,10,7]=>[[1,2,4,5,6,7,9,10],[3,8]]=>8 [1,3,2,5,6,4,7,9,10,8]=>[[1,2,4,6,7,8,10],[3,5,9]]=>7 [1,3,2,5,4,7,6,9,10,8]=>[[1,2,4,6,8,10],[3,5,7,9]]=>6 [1,3,2,5,4,6,8,9,10,7]=>[[1,2,4,6,7,9,10],[3,5,8]]=>7 [1,3,2,4,6,7,5,9,10,8]=>[[1,2,4,5,7,8,10],[3,6,9]]=>7 [1,3,2,4,6,5,8,9,10,7]=>[[1,2,4,5,7,9,10],[3,6,8]]=>7 [1,3,2,4,5,7,8,9,10,6]=>[[1,2,4,5,6,8,9,10],[3,7]]=>8 [1,2,4,5,6,3,7,9,10,8]=>[[1,2,3,5,6,7,8,10],[4,9]]=>8 [1,2,4,5,3,7,6,9,10,8]=>[[1,2,3,5,6,8,10],[4,7,9]]=>7 [1,2,4,5,3,6,8,9,10,7]=>[[1,2,3,5,6,7,9,10],[4,8]]=>8 [1,2,4,3,6,7,5,9,10,8]=>[[1,2,3,5,7,8,10],[4,6,9]]=>7 [1,2,4,3,6,5,8,9,10,7]=>[[1,2,3,5,7,9,10],[4,6,8]]=>7 [1,2,4,3,5,7,8,9,10,6]=>[[1,2,3,5,6,8,9,10],[4,7]]=>8 [1,2,3,5,6,7,4,9,10,8]=>[[1,2,3,4,6,7,8,10],[5,9]]=>8 [1,2,3,5,6,4,8,9,10,7]=>[[1,2,3,4,6,7,9,10],[5,8]]=>8 [1,2,3,5,4,7,8,9,10,6]=>[[1,2,3,4,6,8,9,10],[5,7]]=>8 [1,3,4,2,6,5,8,7,9,11,12,10]=>[[1,2,4,5,7,9,10,12],[3,6,8,11]]=>8 [1,3,4,2,6,5,7,9,8,11,12,10]=>[[1,2,4,5,7,8,10,12],[3,6,9,11]]=>8 [1,3,4,2,6,5,7,8,10,11,12,9]=>[[1,2,4,5,7,8,9,11,12],[3,6,10]]=>9 [1,3,4,2,5,7,8,6,9,11,12,10]=>[[1,2,4,5,6,8,9,10,12],[3,7,11]]=>9 [1,3,4,2,5,7,6,9,8,11,12,10]=>[[1,2,4,5,6,8,10,12],[3,7,9,11]]=>8 [1,3,4,2,5,7,6,8,10,11,12,9]=>[[1,2,4,5,6,8,9,11,12],[3,7,10]]=>9 [1,3,4,2,5,6,8,9,7,11,12,10]=>[[1,2,4,5,6,7,9,10,12],[3,8,11]]=>9 [1,3,4,2,5,6,8,7,10,11,12,9]=>[[1,2,4,5,6,7,9,11,12],[3,8,10]]=>9 [1,3,4,2,5,6,7,9,10,11,12,8]=>[[1,2,4,5,6,7,8,10,11,12],[3,9]]=>10 [1,3,2,5,6,4,8,7,9,11,12,10]=>[[1,2,4,6,7,9,10,12],[3,5,8,11]]=>8 [1,3,2,5,6,4,7,9,8,11,12,10]=>[[1,2,4,6,7,8,10,12],[3,5,9,11]]=>8 [1,3,2,5,6,4,7,8,10,11,12,9]=>[[1,2,4,6,7,8,9,11,12],[3,5,10]]=>9 [1,3,2,5,4,7,8,6,9,11,12,10]=>[[1,2,4,6,8,9,10,12],[3,5,7,11]]=>8 [1,3,2,5,4,7,6,9,8,11,12,10]=>[[1,2,4,6,8,10,12],[3,5,7,9,11]]=>7 [1,3,2,5,4,7,6,8,10,11,12,9]=>[[1,2,4,6,8,9,11,12],[3,5,7,10]]=>8 [1,3,2,5,4,6,8,9,7,11,12,10]=>[[1,2,4,6,7,9,10,12],[3,5,8,11]]=>8 [1,3,2,5,4,6,8,7,10,11,12,9]=>[[1,2,4,6,7,9,11,12],[3,5,8,10]]=>8 [1,3,2,5,4,6,7,9,10,11,12,8]=>[[1,2,4,6,7,8,10,11,12],[3,5,9]]=>9 [1,3,2,4,6,7,8,5,9,11,12,10]=>[[1,2,4,5,7,8,9,10,12],[3,6,11]]=>9 [1,3,2,4,6,7,5,9,8,11,12,10]=>[[1,2,4,5,7,8,10,12],[3,6,9,11]]=>8 [1,3,2,4,6,7,5,8,10,11,12,9]=>[[1,2,4,5,7,8,9,11,12],[3,6,10]]=>9 [1,3,2,4,6,5,8,9,7,11,12,10]=>[[1,2,4,5,7,9,10,12],[3,6,8,11]]=>8 [1,3,2,4,6,5,8,7,10,11,12,9]=>[[1,2,4,5,7,9,11,12],[3,6,8,10]]=>8 [1,3,2,4,6,5,7,9,10,11,12,8]=>[[1,2,4,5,7,8,10,11,12],[3,6,9]]=>9 [1,3,2,4,5,7,8,9,6,11,12,10]=>[[1,2,4,5,6,8,9,10,12],[3,7,11]]=>9 [1,3,2,4,5,7,8,6,10,11,12,9]=>[[1,2,4,5,6,8,9,11,12],[3,7,10]]=>9 [1,3,2,4,5,7,6,9,10,11,12,8]=>[[1,2,4,5,6,8,10,11,12],[3,7,9]]=>9 [1,3,2,4,5,6,8,9,10,11,12,7]=>[[1,2,4,5,6,7,9,10,11,12],[3,8]]=>10 [1,2,4,5,6,3,8,7,9,11,12,10]=>[[1,2,3,5,6,7,9,10,12],[4,8,11]]=>9 [1,2,4,5,6,3,7,9,8,11,12,10]=>[[1,2,3,5,6,7,8,10,12],[4,9,11]]=>9 [1,2,4,5,6,3,7,8,10,11,12,9]=>[[1,2,3,5,6,7,8,9,11,12],[4,10]]=>10 [1,2,4,5,3,7,8,6,9,11,12,10]=>[[1,2,3,5,6,8,9,10,12],[4,7,11]]=>9 [1,2,4,5,3,7,6,9,8,11,12,10]=>[[1,2,3,5,6,8,10,12],[4,7,9,11]]=>8 [1,2,4,5,3,7,6,8,10,11,12,9]=>[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>9 [1,2,4,5,3,6,8,9,7,11,12,10]=>[[1,2,3,5,6,7,9,10,12],[4,8,11]]=>9 [1,2,4,5,3,6,8,7,10,11,12,9]=>[[1,2,3,5,6,7,9,11,12],[4,8,10]]=>9 [1,2,4,5,3,6,7,9,10,11,12,8]=>[[1,2,3,5,6,7,8,10,11,12],[4,9]]=>10 [1,2,4,3,6,7,8,5,9,11,12,10]=>[[1,2,3,5,7,8,9,10,12],[4,6,11]]=>9 [1,2,4,3,6,7,5,9,8,11,12,10]=>[[1,2,3,5,7,8,10,12],[4,6,9,11]]=>8 [1,2,4,3,6,7,5,8,10,11,12,9]=>[[1,2,3,5,7,8,9,11,12],[4,6,10]]=>9 [1,2,4,3,6,5,8,9,7,11,12,10]=>[[1,2,3,5,7,9,10,12],[4,6,8,11]]=>8 [1,2,4,3,6,5,8,7,10,11,12,9]=>[[1,2,3,5,7,9,11,12],[4,6,8,10]]=>8 [1,2,4,3,6,5,7,9,10,11,12,8]=>[[1,2,3,5,7,8,10,11,12],[4,6,9]]=>9 [1,2,4,3,5,7,8,9,6,11,12,10]=>[[1,2,3,5,6,8,9,10,12],[4,7,11]]=>9 [1,2,4,3,5,7,8,6,10,11,12,9]=>[[1,2,3,5,6,8,9,11,12],[4,7,10]]=>9 [1,2,4,3,5,7,6,9,10,11,12,8]=>[[1,2,3,5,6,8,10,11,12],[4,7,9]]=>9 [1,2,4,3,5,6,8,9,10,11,12,7]=>[[1,2,3,5,6,7,9,10,11,12],[4,8]]=>10 [1,2,3,5,6,7,8,4,9,11,12,10]=>[[1,2,3,4,6,7,8,9,10,12],[5,11]]=>10 [1,2,3,5,6,7,4,9,8,11,12,10]=>[[1,2,3,4,6,7,8,10,12],[5,9,11]]=>9 [1,2,3,5,6,7,4,8,10,11,12,9]=>[[1,2,3,4,6,7,8,9,11,12],[5,10]]=>10 [1,2,3,5,6,4,8,9,7,11,12,10]=>[[1,2,3,4,6,7,9,10,12],[5,8,11]]=>9 [1,2,3,5,6,4,8,7,10,11,12,9]=>[[1,2,3,4,6,7,9,11,12],[5,8,10]]=>9 [1,2,3,5,6,4,7,9,10,11,12,8]=>[[1,2,3,4,6,7,8,10,11,12],[5,9]]=>10 [1,2,3,5,4,7,8,9,6,11,12,10]=>[[1,2,3,4,6,8,9,10,12],[5,7,11]]=>9 [1,2,3,5,4,7,8,6,10,11,12,9]=>[[1,2,3,4,6,8,9,11,12],[5,7,10]]=>9 [1,2,3,5,4,7,6,9,10,11,12,8]=>[[1,2,3,4,6,8,10,11,12],[5,7,9]]=>9 [1,2,3,5,4,6,8,9,10,11,12,7]=>[[1,2,3,4,6,7,9,10,11,12],[5,8]]=>10 [1,2,3,4,6,7,8,9,5,11,12,10]=>[[1,2,3,4,5,7,8,9,10,12],[6,11]]=>10 [1,2,3,4,6,7,8,5,10,11,12,9]=>[[1,2,3,4,5,7,8,9,11,12],[6,10]]=>10 [1,2,3,4,6,7,5,9,10,11,12,8]=>[[1,2,3,4,5,7,8,10,11,12],[6,9]]=>10 [1,2,3,4,6,5,8,9,10,11,12,7]=>[[1,2,3,4,5,7,9,10,11,12],[6,8]]=>10 [1,2,3,4,5,7,8,9,10,11,12,6]=>[[1,2,3,4,5,6,8,9,10,11,12],[7]]=>11 [1,9,4,5,6,7,8,3,2]=>[[1,2,5,6,7,8],[3],[4],[9]]=>6 [5,9,1,8,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7],[8],[9]]=>5 [9,1,8,2,7,3,6,4,5]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>5 [5,4,3,8,1,7,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [5,4,9,1,8,2,7,3,6]=>[[1,2,3,6],[4,7],[5,8],[9]]=>4 [5,10,1,9,2,8,3,7,4,6]=>[[1,2,3,4,6],[5,7],[8],[9],[10]]=>5 [5,4,7,3,6,2,9,1,8]=>[[1,6,8],[2,7,9],[3],[4],[5]]=>3 [7,3,1,5,6,8,4,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,2,3,1,6,8,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>5 [5,7,8,1,6,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,6,4,2,7,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [5,4,3,2,1,8,9,7,6]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>3 [4,3,2,1,8,9,7,6,5]=>[[1,5,9],[2,6],[3,7],[4,8]]=>3 [4,8,2,1,5,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [5,2,7,1,6,3,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>5 [4,8,2,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4,8]]=>5 [5,8,1,2,4,6,3,7]=>[[1,2,3,6,7],[4,8],[5]]=>5 [5,1,7,3,6,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [3,2,7,5,6,1,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,2,7,1,6,4,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>4 [6,3,1,7,5,4,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>5 [6,2,8,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [7,3,4,8,5,6,2,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [7,3,6,8,4,5,2,1]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [5,6,2,8,3,1,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>5 [1,4,7,5,6,2,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [1,7,4,8,3,5,6,2]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [5,3,1,4,8,6,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [5,2,4,8,3,1,6,7]=>[[1,3,6,7],[2,8],[4],[5]]=>4 [7,4,5,1,8,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>6 [8,1,5,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [1,8,6,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [7,4,8,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>4 [6,4,8,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6,8]]=>4 [6,1,4,2,3,5,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>6 [6,1,5,7,2,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [1,8,2,6,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [1,6,2,7,3,8,4,9,5]=>[[1,2,3,4,5],[6,7,8,9]]=>8 [1,8,5,2,9,6,3,10,7,4]=>[[1,2,3,4],[5,6,7],[8,9,10]]=>8 [7,2,4,1,8,5,3,6]=>[[1,3,5,6],[2,4],[7,8]]=>5 [7,3,2,1,4,6,8,5]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [4,7,2,6,1,8,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>4 [7,5,3,2,1,6,8,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [6,8,1,3,4,2,5,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [3,6,1,4,7,8,2,5]=>[[1,2,5,8],[3,4,7],[6]]=>6 [2,5,7,1,3,6,4,8]=>[[1,3,4,8],[2,5,6],[7]]=>5 [1,4,7,2,5,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [4,5,3,1,2,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,5,1,3,8,2,6,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [4,1,5,3,2,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>5 [7,3,5,1,4,2,6,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [6,2,1,7,4,3,8,5]=>[[1,3,5],[2,4,8],[6,7]]=>5 [2,4,3,6,7,1,5,8]=>[[1,3,5,7,8],[2,6],[4]]=>5 [7,3,5,2,1,6,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [4,6,5,2,1,3,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [2,5,6,1,4,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>5 [6,1,5,3,7,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [3,6,5,4,1,7,2,8]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [8,1,9,10,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9,10]]=>9 [6,8,7,5,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>3 [5,6,1,8,4,3,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [1,8,2,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [2,7,5,1,6,8,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [8,5,4,2,7,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [3,8,6,1,2,4,5,7]=>[[1,2,4,5,7],[3,6],[8]]=>5 [1,8,5,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [1,8,4,7,2,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [3,2,8,1,7,5,4,6]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,4,5,6,2,1,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [3,4,5,2,1,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>7 [7,1,5,6,2,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [6,5,1,7,2,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>6 [1,6,8,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,6,8,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [7,4,1,5,6,8,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [4,1,2,6,7,8,5,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [3,4,5,6,1,7,2,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [3,4,5,1,6,2,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>8 [6,3,7,1,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [1,5,4,7,8,3,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [5,1,4,7,8,3,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [5,6,4,1,7,3,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [4,3,7,8,2,5,1,6]=>[[1,5,6],[2,7,8],[3],[4]]=>4 [3,7,8,5,4,2,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>4 [1,7,4,5,6,8,3,2]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [7,2,4,5,6,8,3,1]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [2,7,4,5,6,8,3,1]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [2,4,7,8,3,1,6,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [5,4,3,6,8,1,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [3,7,4,5,8,1,6,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [1,4,3,5,6,8,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,4,6,5,8,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>5 [4,6,1,7,3,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [1,7,3,6,4,2,8,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [4,7,3,5,1,2,8,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [1,6,4,2,3,5,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [4,8,3,5,2,1,6,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [1,6,8,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [4,7,1,6,8,2,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [4,6,5,8,2,3,7,1]=>[[1,3,7],[2,5,8],[4],[6]]=>4 [7,1,8,2,4,5,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [5,7,8,2,3,4,1,6]=>[[1,3,4,6],[2,7,8],[5]]=>5 [5,2,3,8,7,1,4,6]=>[[1,3,4,6],[2,7],[5,8]]=>4 [8,7,1,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [2,7,6,4,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [2,6,3,7,5,8,4,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [7,5,1,2,3,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [4,3,5,2,6,1,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [4,5,3,6,2,7,1,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [3,2,4,1,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>8 [3,4,2,5,1,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>8 [4,3,5,2,6,1,7,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>7 [4,5,3,6,2,7,1,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>7 [5,4,6,3,7,2,8,1,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>6 [8,6,2,1,3,7,4,5]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [4,2,3,6,8,5,7,1]=>[[1,3,5,7],[2,6,8],[4]]=>4 [4,7,3,2,6,5,1,8]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,3,7,8,2,1,6,5]=>[[1,5,8],[2,6],[3,7],[4]]=>3 [4,8,7,2,1,5,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [7,3,8,2,5,1,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [4,5,3,8,6,1,2,7]=>[[1,2,6,7],[3,5],[4,8]]=>5 [6,3,5,8,4,1,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [7,3,8,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>6 [4,8,7,5,1,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [7,8,4,6,1,3,5,2]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [4,8,7,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [4,5,3,6,8,1,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [7,8,6,2,1,4,3,5]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [7,8,6,3,1,2,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [5,2,8,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5,8]]=>3 [7,3,1,2,8,6,5,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [8,7,1,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [6,8,2,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6,8]]=>4 [2,1,4,3,10,9,6,5,8,7]=>[[1,3,5,7],[2,4,6,8],[9],[10]]=>4 [4,1,2,3,10,9,6,5,8,7]=>[[1,2,3,5,7],[4,6,8],[9],[10]]=>5 [6,1,2,3,4,5,8,7,10,9]=>[[1,2,3,4,5,7,9],[6,8,10]]=>7 [1,5,4,8,7,3,2,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [4,3,1,2,6,5,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>5 [7,5,8,1,2,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [6,1,5,2,8,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [4,6,3,5,7,1,2,8]=>[[1,2,7,8],[3,5],[4,6]]=>5 [1,4,7,2,6,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [1,5,7,2,6,4,8,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [7,2,4,6,1,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [1,2,7,8,3,5,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [1,7,6,2,8,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [1,2,7,8,3,4,6,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [1,7,6,8,3,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [3,4,1,7,8,6,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [2,4,8,6,5,7,1,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [5,1,3,4,8,2,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [8,7,3,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7],[8]]=>4 [6,5,1,8,3,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [8,2,1,5,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [7,5,6,1,3,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [5,7,2,4,6,1,8,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [2,1,5,6,3,8,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>5 [3,2,7,5,8,6,4,1]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [2,4,5,3,8,1,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [7,2,5,4,3,8,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [8,5,3,1,2,6,7,4]=>[[1,2,4,7],[3,6],[5],[8]]=>5 [7,2,5,1,3,6,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [1,8,7,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [2,4,8,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [3,1,8,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [4,6,7,8,5,2,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [4,7,2,1,8,6,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [5,6,2,8,4,1,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>4 [5,7,2,4,8,6,1,3]=>[[1,3,6],[2,4,8],[5,7]]=>4 [6,7,2,4,8,5,1,3]=>[[1,3,5],[2,4,8],[6,7]]=>5 [6,7,3,2,8,5,1,4]=>[[1,4,8],[2,5],[3,7],[6]]=>4 [7,2,3,1,8,6,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [7,2,8,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [7,2,3,8,4,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [1,7,3,4,8,5,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,7,3,8,5,4,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,2,8,4,5,3,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [2,8,6,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [1,7,3,4,8,2,5,6]=>[[1,2,4,5,6],[3,8],[7]]=>6 [1,5,8,3,4,6,2,7]=>[[1,2,4,6,7],[3,8],[5]]=>5 [1,3,8,4,2,5,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [1,4,7,6,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [1,8,4,6,7,2,3,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [1,4,2,3,7,8,6,5]=>[[1,2,3,5,8],[4,6],[7]]=>5 [5,7,1,6,4,8,3,2]=>[[1,2,8],[3,6],[4],[5],[7]]=>4 [1,2,9,7,5,3,10,8,6,4]=>[[1,2,3,4],[5,6],[7,8],[9,10]]=>7 [7,4,5,8,1,3,6,2]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [1,4,3,6,2,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [1,3,6,5,8,2,4,7]=>[[1,2,4,7],[3,5,8],[6]]=>4 [1,4,6,3,2,8,5,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [6,8,4,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [5,2,6,7,4,1,8,3]=>[[1,3,7,8],[2,4],[5,6]]=>5 [8,5,6,4,1,7,3,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [7,8,3,1,6,4,5,2]=>[[1,2,5],[3,4],[6,8],[7]]=>5 [5,8,2,6,3,1,7,4]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [4,5,8,1,6,3,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,1,4,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>5 [4,5,8,1,6,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,2,6,8,1,4,3,7]=>[[1,3,7],[2,4,8],[5,6]]=>4 [6,7,3,8,2,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>5 [2,1,4,8,5,3,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [2,7,3,8,4,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [2,6,3,1,5,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [1,5,8,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [5,3,8,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [4,5,8,1,3,6,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [7,4,6,5,2,8,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [4,1,3,8,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>4 [4,1,3,7,2,8,6,5]=>[[1,2,5,8],[3,6],[4,7]]=>4 [4,6,3,1,7,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [7,2,6,3,1,8,5,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [4,8,7,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [1,6,3,2,8,7,4,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [2,8,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [6,8,3,1,5,7,2,4]=>[[1,2,4],[3,5,7],[6,8]]=>4 [8,7,3,1,2,5,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,5,7,1,2,4,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [1,3,5,7,2,9,4,6,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>6 [1,3,5,7,2,9,4,10,6,8]=>[[1,2,4,6,8,10],[3,5,7,9]]=>6 [1,3,5,7,2,8,4,9,6,10]=>[[1,2,4,6,8,9,10],[3,5,7]]=>7 [1,3,5,6,2,7,4,9,8,10]=>[[1,2,4,6,7,8,10],[3,5,9]]=>7 [1,3,4,5,2,7,6,9,8,10]=>[[1,2,4,5,6,8,10],[3,7,9]]=>7 [5,4,3,6,1,7,8,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [3,2,7,8,5,6,1,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [4,8,3,2,1,7,5,6]=>[[1,5,6],[2,7],[3,8],[4]]=>3 [1,9,8,7,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>4 [1,8,4,5,6,3,2,7]=>[[1,2,5,6,7],[3],[4],[8]]=>5 [1,9,6,7,5,4,3,2,8]=>[[1,2,7,8],[3],[4],[5],[6],[9]]=>4 [1,7,8,6,5,4,3,2,9]=>[[1,2,8,9],[3],[4],[5],[6],[7]]=>4 [1,3,7,8,4,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [4,8,7,3,6,1,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [5,6,4,8,7,2,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [4,8,3,7,6,1,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [2,8,4,7,1,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [6,7,8,9,2,3,4,1,5]=>[[1,3,4,5],[2,7,8,9],[6]]=>7 [5,6,7,8,9,2,3,1,4]=>[[1,3,4,8,9],[2,6,7],[5]]=>7 [6,7,8,9,2,3,1,4,5]=>[[1,3,4,5],[2,7,8,9],[6]]=>7 [5,6,7,8,9,10,2,3,1,4]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>8 [4,5,6,7,8,1,9,2,3]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [4,5,6,7,8,9,10,2,1,3]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>8 [6,8,3,4,5,2,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [3,7,1,4,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>6 [3,6,1,4,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>6 [3,8,2,4,5,1,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>4 [3,7,2,1,5,6,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>4 [3,6,8,1,5,4,7,2]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [1,7,4,6,3,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [1,3,6,5,7,2,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>5 [1,7,2,5,6,4,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [1,6,8,5,4,3,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [2,5,7,8,4,3,1,6]=>[[1,3,6,8],[2,7],[4],[5]]=>4 [6,8,5,3,2,4,1,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>3 [1,6,8,5,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [4,6,1,8,7,5,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [1,3,7,6,8,5,2,4]=>[[1,2,4,8],[3,5],[6],[7]]=>4 [4,1,7,8,6,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [4,7,6,1,2,3,8,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [4,5,2,6,7,8,1,3]=>[[1,3,6,7,8],[2,5],[4]]=>6 [1,7,6,2,3,8,5,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [4,5,1,3,7,6,2,8]=>[[1,2,6,8],[3,5,7],[4]]=>5 [7,2,3,8,6,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [1,5,4,3,8,6,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [1,3,7,5,8,4,6,2]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [5,8,1,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [1,6,7,4,5,3,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,4,2,6,7,5,3,8]=>[[1,2,3,7,8],[4,5],[6]]=>6 [1,8,2,4,6,5,3,7]=>[[1,2,3,5,7],[4],[6],[8]]=>5 [7,2,1,6,4,3,8,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [1,4,8,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>4 [4,1,3,6,5,8,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,3,7,1,5,8,2,6]=>[[1,2,6],[3,5,8],[4,7]]=>5 [1,8,6,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [1,8,6,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [6,4,1,8,3,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [4,5,8,7,3,6,2,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>3 [3,5,4,1,7,8,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [6,8,7,2,1,5,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [8,1,6,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [8,5,1,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [8,3,6,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [6,1,3,5,7,2,8,4]=>[[1,2,4,7,8],[3,5],[6]]=>5 [2,8,1,5,6,4,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [1,6,7,5,8,4,2,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [7,4,1,6,5,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [7,4,2,8,6,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [6,8,4,7,3,2,5,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [5,8,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>3 [5,8,7,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>3 [6,8,7,3,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>4 [7,2,5,6,8,3,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [1,6,5,7,8,3,2,4]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [8,6,7,2,3,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [5,4,8,6,7,3,1,2]=>[[1,2,7],[3,6],[4,8],[5]]=>4 [4,2,7,3,1,6,8,5]=>[[1,3,5,8],[2,6],[4,7]]=>4 [7,3,6,4,2,1,8,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>4 [4,8,5,2,7,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [6,4,3,1,8,5,2,7]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [7,4,3,1,5,8,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [7,4,8,6,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [4,8,5,2,6,7,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [7,3,2,1,8,5,6,4]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,8,1,9,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [6,7,8,1,9,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>8 [5,6,7,8,1,9,2,3,4]=>[[1,2,3,4,9],[5,6,7,8]]=>8 [1,5,7,2,4,3,8,6]=>[[1,2,3,6],[4,7,8],[5]]=>5 [1,2,7,5,8,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [5,1,3,8,2,7,4,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [5,7,1,3,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>5 [7,1,6,3,2,8,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [8,1,7,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [7,1,2,6,4,3,8,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [1,4,7,8,3,2,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [8,7,1,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [8,1,6,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [1,8,2,7,6,3,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>4 [8,1,6,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [8,2,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,7,2,4,3,1,5,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [2,1,7,4,10,3,6,5,9,8]=>[[1,3,5,8],[2,4,6,9],[7,10]]=>4 [10,1,3,2,6,5,9,4,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>4 [4,7,6,1,3,2,8,5]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [2,8,1,3,5,6,4,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [2,6,3,4,7,8,5,1]=>[[1,3,4,5,8],[2,7],[6]]=>6 [7,6,3,1,8,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [7,2,1,3,6,8,5,4]=>[[1,3,4,8],[2,5],[6],[7]]=>4 [7,6,3,8,1,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>4 [1,6,4,7,8,5,3,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [7,2,5,8,6,1,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>5 [4,1,3,6,2,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [7,1,4,6,3,2,5,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [7,4,5,8,6,2,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [6,7,2,3,8,4,1,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [2,7,8,1,5,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [1,2,3,4,5,6,8,9,7,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>9 [1,8,3,7,5,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [8,1,3,6,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [7,1,3,8,5,2,6,4]=>[[1,2,4,6],[3,5],[7,8]]=>5 [4,7,1,5,2,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [7,4,1,5,2,6,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [3,1,6,7,5,2,8,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [8,6,2,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [8,6,7,5,2,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>3 [7,1,4,5,2,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [4,1,6,2,3,8,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>5 [4,1,7,6,5,2,8,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [8,4,1,5,6,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [2,8,4,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [1,5,4,8,3,2,6,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [1,5,7,6,3,8,2,4]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [2,6,3,1,7,8,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [2,1,7,8,3,5,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [1,5,8,6,7,4,2,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [8,7,1,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>4 [3,7,8,2,5,4,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [4,7,6,5,8,1,3,2]=>[[1,2,8],[3,5],[4],[6],[7]]=>4 [4,7,8,6,2,1,5,3]=>[[1,3,8],[2,5],[4,6],[7]]=>4 [4,8,6,3,2,1,7,5]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [5,1,4,7,6,8,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [5,6,4,7,1,8,3,2]=>[[1,2,7,8],[3,6],[4],[5]]=>5 [5,3,7,4,6,1,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [4,1,5,7,8,6,3,2]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [3,6,7,1,5,4,8,2]=>[[1,2,7,8],[3,4],[5],[6]]=>5 [3,6,4,7,5,8,2,1]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [7,1,2,3,4,9,5,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>7 [8,1,2,3,4,5,10,6,9,7]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>8 [9,1,2,3,8,5,4,7,6]=>[[1,2,3,4,6],[5,7],[8],[9]]=>5 [8,1,7,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7],[8]]=>5 [6,4,7,1,5,2,8,3]=>[[1,2,3],[4,5,8],[6,7]]=>6 [1,6,5,2,8,7,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [1,3,4,5,2,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>8 [1,2,3,4,5,7,8,6,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>9 [1,2,3,4,5,7,8,9,6,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>9 [4,5,6,1,7,8,9,2,3]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [2,1,4,5,3,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]]=>7 [2,4,5,6,1,7,8,9,10,3]=>[[1,3,5,6,7,8,9,10],[2,4]]=>8 [3,2,5,8,6,1,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>4 [4,5,1,7,2,8,6,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [6,4,7,2,5,3,1,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [7,1,4,3,6,8,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [4,8,7,3,5,1,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>4 [5,3,8,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7],[8]]=>4 [5,2,6,7,4,3,1,8]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [8,5,1,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [8,6,3,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [8,4,6,2,1,5,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [8,5,2,1,6,4,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>4 [1,7,2,8,5,4,6,3]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [6,7,1,4,8,5,3,2]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [7,3,2,8,5,1,4,6]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [4,1,7,3,2,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [8,3,5,2,4,7,1,6]=>[[1,4,6],[2,5,7],[3],[8]]=>3 [4,3,7,8,6,1,5,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [1,2,6,3,7,8,5,4]=>[[1,2,3,4,8],[5,7],[6]]=>6 [6,1,3,7,8,5,4,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [2,6,4,7,5,3,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [4,5,1,8,6,2,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>6 [5,6,1,8,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [4,5,1,6,8,7,3,2]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [3,8,6,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [3,2,8,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3,8]]=>4 [5,8,7,3,2,1,4,6]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [3,4,7,6,8,2,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [2,8,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [1,8,7,2,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>4 [3,4,7,1,5,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>6 [4,2,7,1,5,8,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>5 [1,4,7,5,2,3,6,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [2,5,7,6,8,3,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [3,1,6,7,2,8,5,4]=>[[1,2,4,8],[3,5,7],[6]]=>5 [1,5,3,6,8,4,7,2]=>[[1,2,4,7],[3,6,8],[5]]=>5 [6,5,1,3,8,4,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,7,4,8,5,3,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [7,3,1,6,8,4,5,2]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [8,5,1,4,6,7,3,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [3,4,7,5,6,8,2,1]=>[[1,4,5,6,8],[2],[3],[7]]=>5 [3,4,7,8,5,2,6,1]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [4,8,1,7,5,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [1,8,7,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>5 [1,7,6,3,4,5,8,2]=>[[1,2,4,5,8],[3],[6],[7]]=>5 [1,8,7,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,8,7,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7],[8]]=>4 [1,4,7,5,8,2,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [1,4,7,2,3,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>5 [1,7,2,5,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,2,6,5,8,3,4,7]=>[[1,2,3,4,7],[5,8],[6]]=>5 [1,5,8,2,6,3,4,7]=>[[1,2,3,4,7],[5,6],[8]]=>6 [6,8,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6,8]]=>3 [7,3,6,8,1,2,5,4]=>[[1,2,4],[3,5,8],[6],[7]]=>4 [4,1,5,7,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6 [5,7,2,1,3,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>5 [7,1,10,9,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>7 [3,5,6,7,2,4,1,8]=>[[1,4,6,7,8],[2,5],[3]]=>5 [6,4,7,5,2,3,1,8]=>[[1,3,8],[2,5],[4,7],[6]]=>5 [1,5,6,4,8,3,2,7]=>[[1,2,6,7],[3,8],[4],[5]]=>4 [2,1,5,6,4,8,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [5,1,4,7,8,6,2,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [1,6,7,2,8,5,4,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [5,3,2,1,7,8,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [7,4,3,8,6,1,5,2]=>[[1,2],[3,5],[4,6],[7,8]]=>4 [4,3,7,1,5,8,6,2]=>[[1,2,6],[3,5,8],[4,7]]=>5 [8,2,4,5,3,1,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [1,4,3,2,7,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [1,5,2,8,6,3,10,9,7,4]=>[[1,2,3,4],[5,6,7],[8,9],[10]]=>7 [4,8,7,2,6,1,3,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [4,5,8,2,1,7,3,6]=>[[1,3,6],[2,5,7],[4,8]]=>4 [6,8,4,1,7,3,2,5]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [5,6,4,3,2,1,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>5 [5,6,4,3,2,1,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>6 [4,5,3,2,1,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [6,7,5,4,3,2,1,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>5 [6,7,4,3,2,1,5,8,9]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>5 [5,6,4,3,2,7,1,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>5 [7,6,8,9,5,4,3,2,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [7,6,8,5,9,4,3,2,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [6,5,8,9,7,4,3,2,1]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>3 [8,7,9,10,6,5,4,3,2,1]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [6,3,1,8,2,7,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>4 [7,6,2,8,4,5,3,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [5,8,2,1,3,6,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>5 [8,5,1,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [5,7,6,3,4,1,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [1,8,3,5,2,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [3,4,6,1,8,5,7,2]=>[[1,2,5,7],[3,4,8],[6]]=>5 [2,3,8,7,4,5,1,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [1,8,3,5,7,4,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [2,5,8,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5,8]]=>4 [7,1,2,6,4,3,5,8]=>[[1,2,3,5,8],[4],[6],[7]]=>5 [7,1,2,6,5,3,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>5 [4,7,8,6,2,3,5,1]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [7,1,2,4,8,6,5,3]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [2,7,5,6,4,8,1,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [2,8,3,6,5,7,1,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [7,4,3,1,6,5,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [3,5,1,2,6,8,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [3,1,2,4,8,7,5,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [5,4,1,2,3,7,8,6]=>[[1,2,3,6,8],[4,7],[5]]=>5 [1,6,7,2,5,8,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>6 [7,8,5,6,2,4,3,1]=>[[1,3],[2,6],[4,8],[5],[7]]=>4 [5,3,8,6,2,4,1,7]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [2,7,4,6,3,8,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [5,4,7,8,6,2,1,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [2,7,4,8,3,1,5,6]=>[[1,3,5,6],[2,8],[4],[7]]=>5 [8,2,1,3,7,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [6,5,8,2,3,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [7,8,2,3,6,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [8,1,2,7,5,3,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [4,2,8,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4,8]]=>4 [7,5,1,8,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [8,2,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [8,1,6,2,3,7,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [7,1,8,2,3,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>6 [4,2,6,7,5,1,8,3]=>[[1,3,7,8],[2,5],[4,6]]=>5 [4,7,2,5,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>5 [3,5,7,4,2,8,1,6]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [2,4,7,6,3,8,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [4,6,8,5,1,2,3,7]=>[[1,2,3,7],[4,5,8],[6]]=>5 [4,6,5,7,1,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>6 [4,6,5,7,1,3,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [3,4,7,6,1,8,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>5 [8,5,2,1,6,3,4,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [7,1,8,5,3,2,4,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [8,2,7,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [6,8,7,4,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>3 [5,2,6,7,4,8,3,1]=>[[1,3,7,8],[2,6],[4],[5]]=>5 [6,5,8,1,7,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [6,4,8,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [7,2,4,1,6,3,5,8]=>[[1,3,5,8],[2,4,6],[7]]=>4 [2,6,1,5,3,4,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>4 [3,8,7,5,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>3 [5,7,8,2,3,6,4,1]=>[[1,3,4],[2,6,8],[5],[7]]=>5 [2,8,7,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [5,6,1,2,4,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [3,8,6,7,5,4,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [7,8,5,1,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [8,2,7,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>3 [8,4,7,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [4,6,7,1,3,2,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [6,4,7,5,3,2,8,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [8,4,6,3,1,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [7,3,1,4,5,6,8,2]=>[[1,2,5,6,8],[3,4],[7]]=>6 [2,5,3,8,6,4,1,7]=>[[1,3,4,7],[2,6],[5],[8]]=>5 [5,8,4,1,3,2,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>3 [5,3,4,7,6,1,8,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [4,5,2,1,6,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>5 [4,5,2,1,6,7,3,8]=>[[1,3,6,7,8],[2,5],[4]]=>6 [5,3,8,6,2,4,7,1]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [2,5,1,6,4,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [3,6,2,8,5,7,1,4]=>[[1,4,7],[2,5,8],[3,6]]=>3 [4,6,8,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [4,1,2,5,7,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>6 [4,6,5,8,1,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [2,1,3,6,4,8,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>5 [4,8,1,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [1,6,4,3,8,7,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>4 [2,5,1,8,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [2,5,8,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [3,8,7,2,6,1,4,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [2,5,1,8,3,6,4,7]=>[[1,3,4,7],[2,5,6],[8]]=>5 [5,8,4,7,3,2,1,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [4,3,8,6,1,2,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [4,8,6,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [7,2,3,5,6,8,4,1]=>[[1,3,4,6,8],[2],[5],[7]]=>5 [5,8,1,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [8,3,4,2,7,6,1,5]=>[[1,4,5],[2,6],[3,7],[8]]=>3 [8,7,5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>3 [8,7,4,2,3,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [8,4,2,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>3 [7,2,4,5,3,1,6,8]=>[[1,3,5,6,8],[2],[4],[7]]=>5 [7,6,3,1,4,5,8,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [5,4,1,7,8,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [5,3,4,7,8,1,6,2]=>[[1,2,6,8],[3,4],[5,7]]=>5 [4,3,7,6,5,1,8,2]=>[[1,2,8],[3,5],[4,6],[7]]=>4 [5,1,4,8,2,3,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>4 [3,2,8,5,4,1,6,7]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [1,2,8,3,4,6,5,7]=>[[1,2,3,4,5,7],[6],[8]]=>6 [8,1,2,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7],[8]]=>5 [5,7,1,2,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [1,2,7,5,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [5,1,4,7,2,3,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>5 [4,8,1,2,3,6,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [1,3,4,2,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>8 [3,5,2,1,6,4,7,8,9]=>[[1,4,6,7,8,9],[2,5],[3]]=>6 [4,6,3,2,1,7,5,8,9]=>[[1,5,7,8,9],[2,6],[3],[4]]=>5 [5,7,4,3,2,1,8,6,9]=>[[1,6,8,9],[2,7],[3],[4],[5]]=>4 [6,8,5,4,3,2,1,9,7]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>3 [1,3,4,2,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>9 [1,2,4,5,6,3,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>9 [1,2,3,5,6,7,8,4,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>9 [3,5,2,1,6,4,7,8,9,10]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>7 [1,3,4,6,7,2,8,5,9,10]=>[[1,2,4,5,7,8,9,10],[3,6]]=>8 [4,6,3,2,1,7,5,8,9,10]=>[[1,5,7,8,9,10],[2,6],[3],[4]]=>6 [1,3,4,2,7,8,5,9,10,6]=>[[1,2,4,5,6,9,10],[3,7,8]]=>8 [5,7,4,3,2,1,8,6,9,10]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>5 [6,8,5,4,3,2,1,9,7,10]=>[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>4 [7,9,6,5,4,3,2,1,10,8]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>3 [4,5,6,3,7,2,8,1,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [1,5,6,7,4,8,3,9,2]=>[[1,2,6,7,8,9],[3],[4],[5]]=>6 [5,4,1,6,2,7,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [7,1,3,5,4,2,8,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,6,8,2,4,5,3,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [4,2,8,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [3,8,5,4,7,1,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [1,4,8,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>4 [6,3,2,4,8,7,1,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [8,3,2,7,4,1,5,6]=>[[1,4,5,6],[2,7],[3],[8]]=>4 [7,3,2,6,5,8,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>3 [3,6,2,5,7,4,8,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [2,7,1,5,8,6,4,3]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [7,2,4,1,6,8,5,3]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [6,4,7,2,3,8,5,1]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,1,8,5,7,4,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [7,1,4,3,6,5,8,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [7,1,5,6,3,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [6,1,8,5,4,7,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [7,6,1,5,4,2,8,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [5,1,6,8,7,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [4,6,7,5,3,1,8,2]=>[[1,2,7,8],[3,5],[4],[6]]=>5 [5,3,2,6,8,7,4,1]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [5,4,6,2,8,7,3,1]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [4,5,8,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4],[8]]=>5 [4,5,7,6,1,2,8,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [4,6,5,7,2,1,8,3]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [7,4,8,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>4 [7,2,4,3,6,1,8,5]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [2,3,4,7,8,6,1,5]=>[[1,3,4,5,8],[2,6],[7]]=>5 [6,3,7,1,4,2,8,5]=>[[1,2,5],[3,4,8],[6,7]]=>6 [8,5,7,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [3,5,6,7,8,9,2,4,1]=>[[1,4,6,7,8,9],[2,5],[3]]=>6 [3,4,6,7,8,2,5,1]=>[[1,4,5,7,8],[2,6],[3]]=>5 [2,4,6,7,8,9,1,3,5]=>[[1,3,5,7,8,9],[2,4,6]]=>6 [2,5,6,7,3,8,1,4]=>[[1,3,4,7,8],[2,6],[5]]=>6 [5,8,4,6,2,1,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [1,6,8,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>5 [4,1,7,6,2,8,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>5 [4,1,8,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [4,1,7,2,8,5,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>6 [2,5,6,3,7,4,8,1]=>[[1,3,4,7,8],[2,6],[5]]=>6 [2,6,5,3,8,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [2,6,5,3,7,4,8,1]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [7,1,6,3,5,4,8,2]=>[[1,2,4,8],[3],[5],[6],[7]]=>4 [5,7,3,2,8,4,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [2,8,6,1,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [8,1,5,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [7,1,4,2,8,5,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>6 [2,6,8,1,7,5,3,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [1,4,6,5,3,8,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [2,4,5,8,7,1,3,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [3,1,6,8,7,5,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>4 [3,1,8,7,5,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>4 [5,1,8,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>4 [8,2,7,5,3,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [8,7,2,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>4 [2,8,5,7,6,1,3,4]=>[[1,3,4],[2,5,6],[7],[8]]=>4 [1,8,7,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [8,7,2,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [1,8,4,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [8,7,1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>3 [8,4,1,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [4,5,6,7,8,9,1,10,2,3]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9 [4,5,6,7,1,2,8,3,9]=>[[1,2,3,7,8,9],[4,5,6]]=>8 [4,5,1,8,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [3,6,4,7,5,2,1,8]=>[[1,4,5,8],[2,7],[3],[6]]=>5 [5,7,4,1,2,6,8,3]=>[[1,2,3,8],[4,6],[5,7]]=>5 [2,8,6,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [4,8,3,2,6,1,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [1,4,8,7,6,2,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>4 [7,2,4,1,5,3,8,6]=>[[1,3,5,6],[2,4,8],[7]]=>5 [8,5,3,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [2,8,5,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [8,6,5,3,1,2,7,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [7,4,6,5,3,2,8,1]=>[[1,5,8],[2],[3],[4],[6],[7]]=>3 [5,6,7,2,3,8,4,1]=>[[1,3,4,8],[2,6,7],[5]]=>6 [8,4,2,6,5,7,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [1,7,4,2,8,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [3,2,1,7,4,6,8,5]=>[[1,4,5,8],[2,6],[3,7]]=>4 [6,2,5,7,1,4,3,8]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [4,8,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4],[8]]=>5 [8,5,2,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [1,5,3,4,7,2,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>5 [8,4,6,1,5,7,3,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [6,4,7,2,1,3,8,5]=>[[1,3,5],[2,7,8],[4],[6]]=>5 [6,7,3,1,2,4,8,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [3,1,8,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [1,3,8,6,7,2,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [5,2,3,6,1,8,4,7]=>[[1,3,4,7],[2,6,8],[5]]=>5 [3,2,6,4,7,1,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,6,2,5,7,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [2,7,4,6,8,3,5,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [3,7,6,8,1,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [1,5,7,6,8,4,2,3]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [2,7,4,6,8,5,3,1]=>[[1,3,5,8],[2],[4],[6],[7]]=>4 [3,7,6,8,5,1,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [7,1,3,8,6,2,4,5]=>[[1,2,4,5],[3,6],[7,8]]=>5 [2,7,1,8,6,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [4,5,6,3,7,8,9,2,1]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6 [3,4,5,6,2,7,8,9,10,1]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>8 [8,1,5,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [5,3,4,7,6,2,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [4,1,8,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [4,1,8,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [7,6,8,2,4,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [7,4,5,3,8,1,6,2]=>[[1,2,6],[3,5],[4,8],[7]]=>5 [7,3,6,1,4,2,8,5]=>[[1,2,5],[3,4,8],[6],[7]]=>5 [8,7,2,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [1,2,3,4,7,9,5,6,8]=>[[1,2,3,4,5,6,8],[7,9]]=>7 [1,2,3,4,8,5,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [7,1,4,6,8,5,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [7,2,5,1,6,4,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [2,7,1,5,6,4,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [1,5,7,8,4,6,3,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [1,4,8,5,7,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>4 [2,8,1,5,6,4,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [3,7,2,8,1,5,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [7,3,2,5,1,6,8,4]=>[[1,4,6,8],[2,5],[3],[7]]=>4 [8,7,2,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>3 [7,3,2,8,1,4,6,5]=>[[1,4,5],[2,6],[3,8],[7]]=>4 [3,6,2,1,8,4,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>4 [3,5,1,7,6,4,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [8,7,4,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>3 [5,4,7,6,2,1,8,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [3,5,2,8,7,1,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>3 [3,7,6,5,4,1,8,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [4,6,5,3,1,8,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [4,5,2,6,7,3,8,1]=>[[1,3,6,7,8],[2,5],[4]]=>6 [8,6,7,4,3,1,5,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [4,7,1,8,5,3,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>5 [8,6,7,1,4,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [8,6,7,2,1,3,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [8,5,6,1,7,4,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [6,4,1,2,5,7,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [6,1,5,4,2,7,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [6,4,2,3,1,7,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [3,4,6,1,8,2,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [5,3,1,4,7,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>5 [6,4,5,2,7,1,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [7,4,3,5,1,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>5 [7,5,3,6,2,1,4,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [6,4,3,7,1,8,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [3,1,2,7,6,4,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>5 [5,1,2,7,6,3,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>6 [5,6,1,7,2,4,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>6 [3,5,6,8,1,2,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,6,5,7,1,3,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>5 [2,3,7,1,5,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>5 [2,6,5,3,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>5 [2,6,1,3,5,4,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>5 [4,6,1,5,2,8,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [6,1,5,4,2,7,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [4,6,1,5,2,7,8,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [2,8,6,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [5,1,8,6,2,7,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [3,6,8,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [5,6,4,1,7,2,8,3]=>[[1,2,3,8],[4,6,7],[5]]=>6 [8,1,6,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [7,4,2,3,1,6,8,5]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [10,7,1,2,3,4,8,9,5,6]=>[[1,2,3,4,5,6],[7,8,9],[10]]=>8 [1,6,4,5,7,3,2,8]=>[[1,2,5,7,8],[3],[4],[6]]=>5 [1,6,4,5,7,2,8,3]=>[[1,2,3,7,8],[4,5],[6]]=>6 [1,7,5,6,4,8,3,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [1,5,6,7,3,2,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [8,2,4,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,2,1,4,3,7,5,6]=>[[1,3,5,6],[2,4,7],[8]]=>4 [7,6,8,2,1,5,3,4]=>[[1,3,4],[2,5],[6,8],[7]]=>4 [8,6,2,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6],[8]]=>4 [5,7,2,6,4,1,8,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [4,5,6,1,3,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [6,3,5,7,4,2,8,1]=>[[1,4,7,8],[2],[3],[5],[6]]=>4 [7,6,4,8,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>4 [8,2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [1,3,8,6,5,2,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>4 [2,7,3,8,5,6,4,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [1,2,8,5,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [1,6,8,5,4,7,2,3]=>[[1,2,3],[4,7],[5,8],[6]]=>4 [5,7,1,8,3,2,6,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [8,2,5,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [5,8,4,3,7,6,2,1]=>[[1,6],[2,7],[3,8],[4],[5]]=>2 [8,1,5,3,4,7,2,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [6,1,8,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [1,5,8,6,4,3,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>4 [5,8,6,4,2,1,7,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [2,6,1,8,4,7,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>4 [5,3,8,6,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>5 [5,8,1,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>5 [3,7,6,2,1,4,8,5]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [4,6,2,3,7,1,8,5]=>[[1,3,5,8],[2,6,7],[4]]=>5 [6,8,7,5,1,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>4 [6,4,3,2,7,8,5,1]=>[[1,5,8],[2,7],[3],[4],[6]]=>4 [2,7,6,1,5,3,8,4]=>[[1,3,4],[2,5,8],[6],[7]]=>4 [7,8,6,4,2,5,3,1]=>[[1,3],[2,5],[4,8],[6],[7]]=>4 [6,4,5,8,7,1,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,4,1,7,8,3,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>5 [6,4,3,8,7,2,5,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [2,6,4,5,7,1,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [3,7,4,6,1,5,8,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [3,4,6,5,2,8,1,7]=>[[1,4,5,7],[2,8],[3],[6]]=>4 [4,6,7,5,8,2,1,3]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [2,5,7,6,4,1,8,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [5,1,4,6,2,7,8,3]=>[[1,2,3,7,8],[4,6],[5]]=>6 [1,2,5,3,7,8,6,4]=>[[1,2,3,4,8],[5,6],[7]]=>6 [4,8,3,5,1,2,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [6,1,3,7,2,8,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [3,8,5,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5],[8]]=>4 [3,1,5,8,2,6,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>5 [2,8,5,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [6,5,2,3,7,1,8,4]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [7,2,1,6,4,8,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>4 [2,1,3,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>5 [6,2,4,5,7,1,8,3]=>[[1,3,5,7,8],[2,4],[6]]=>5 [2,3,8,7,1,4,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [4,2,7,5,6,8,1,3]=>[[1,3,6,8],[2,5],[4,7]]=>5 [6,8,2,5,4,7,3,1]=>[[1,3,7],[2,8],[4],[5],[6]]=>3 [10,7,1,2,3,4,5,9,6,8]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>7 [5,3,2,7,6,1,8,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,6,4,2,8,7,1,3]=>[[1,3,7],[2,6],[4,8],[5]]=>4 [5,7,4,2,6,1,8,3]=>[[1,3,8],[2,6],[4,7],[5]]=>4 [5,4,7,1,6,2,8,3]=>[[1,2,3],[4,6,8],[5,7]]=>5 [4,5,8,7,6,2,1,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [6,4,7,1,2,3,8,5]=>[[1,2,3,5],[4,7,8],[6]]=>6 [1,8,7,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>5 [1,8,3,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>3 [1,3,8,2,5,6,4,7]=>[[1,2,4,6,7],[3,5],[8]]=>5 [1,3,2,7,4,6,8,5]=>[[1,2,4,5,8],[3,6],[7]]=>5 [1,3,8,4,6,2,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>5 [8,2,3,6,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [2,5,7,6,3,8,4,1]=>[[1,3,4,8],[2,6],[5],[7]]=>5 [4,5,6,7,8,9,1,2,10,3]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9 [1,7,8,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [6,2,1,5,3,7,8,4]=>[[1,3,4,8],[2,5,7],[6]]=>5 [6,2,5,1,3,8,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [6,2,8,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [6,1,2,7,3,8,4,10,9,5]=>[[1,2,3,4,5],[6,7,8,9],[10]]=>8 [6,1,2,7,3,10,8,4,9,5]=>[[1,2,3,4,5],[6,7,8,9],[10]]=>8 [6,1,2,10,7,3,8,4,9,5]=>[[1,2,3,4,5],[6,7,8,9],[10]]=>8 [10,6,1,2,7,3,8,4,9,5]=>[[1,2,3,4,5],[6,7,8,9],[10]]=>8 [9,4,10,8,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4,8],[9,10]]=>3 [11,5,12,10,4,9,3,8,2,7,1,6]=>[[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>3 [4,1,7,8,3,6,5,2]=>[[1,2,5],[3,6,8],[4],[7]]=>4 [1,7,5,8,4,3,6,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [5,8,1,6,4,7,2,3]=>[[1,2,3],[4,6,7],[5],[8]]=>5 [2,4,7,5,1,8,6,3]=>[[1,3,5,6],[2,4],[7,8]]=>5 [2,3,7,1,8,5,6,4]=>[[1,3,4,6],[2,5,8],[7]]=>5 [6,5,1,2,7,4,8,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [3,6,5,7,8,2,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [3,6,5,1,8,7,4,2]=>[[1,2,7],[3,4],[5,8],[6]]=>4 [7,8,1,2,5,4,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [2,8,4,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [5,2,4,7,6,8,1,3]=>[[1,3,6,8],[2,4],[5,7]]=>4 [3,1,5,7,4,8,6,2]=>[[1,2,6,8],[3,4,7],[5]]=>5 [4,1,7,6,8,2,5,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [7,2,6,4,1,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>4 [1,2,6,5,8,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>5 [7,3,5,6,1,4,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [5,8,3,1,6,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [4,5,8,1,7,3,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [4,7,1,6,8,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>5 [5,8,7,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [1,7,3,8,2,5,4,6]=>[[1,2,4,6],[3,5],[7,8]]=>5 [5,3,1,8,6,7,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>5 [6,2,7,1,4,3,5,8]=>[[1,3,5,8],[2,4],[6,7]]=>5 [8,3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>3 [2,6,8,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6,8]]=>4 [7,8,6,3,2,5,4,1]=>[[1,4],[2,5],[3,8],[6],[7]]=>3 [1,6,4,8,2,3,5,7]=>[[1,2,3,5,7],[4,8],[6]]=>5 [2,8,5,6,4,1,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [1,4,7,3,5,8,6,2]=>[[1,2,5,6],[3,7,8],[4]]=>5 [3,7,8,2,5,1,6,4]=>[[1,4,6],[2,5,8],[3,7]]=>4 [8,6,1,4,3,2,7,5]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [7,3,8,2,4,1,5,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [6,3,7,8,1,2,5,4]=>[[1,2,4],[3,5,8],[6,7]]=>5 [7,6,1,5,2,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [5,1,8,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [5,7,1,6,8,2,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [6,8,4,2,1,7,3,5]=>[[1,3,5],[2,7],[4,8],[6]]=>4 [6,3,2,8,1,7,4,5]=>[[1,4,5],[2,7],[3,8],[6]]=>4 [6,4,1,3,7,8,5,2]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [6,8,5,4,3,7,1,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>3 [5,7,4,8,3,1,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>4 [6,1,2,4,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [1,6,4,7,5,3,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>5 [1,6,5,3,2,7,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,6,8,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [1,4,7,5,3,2,6,8]=>[[1,2,5,6,8],[3],[4],[7]]=>5 [1,7,5,4,3,2,8,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [1,4,7,5,3,2,8,6]=>[[1,2,5,6],[3,8],[4],[7]]=>5 [1,7,4,6,8,5,3,2]=>[[1,2,5,8],[3],[4],[6],[7]]=>4 [6,8,7,2,3,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [5,7,6,1,8,2,4,3]=>[[1,2,3],[4,6,8],[5],[7]]=>5 [4,8,6,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>4 [2,7,8,5,1,4,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>4 [8,5,6,2,4,7,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [8,1,3,6,4,5,2,7]=>[[1,2,4,5,7],[3],[6],[8]]=>5 [1,2,3,7,4,8,5,9,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [1,2,3,4,7,5,9,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>7 [1,2,6,3,7,4,9,8,5]=>[[1,2,3,4,5],[6,7,8],[9]]=>7 [1,2,3,8,6,4,9,7,5]=>[[1,2,3,4,5],[6,7],[8,9]]=>7 [1,2,3,6,4,9,8,7,5]=>[[1,2,3,4,5],[6,7],[8],[9]]=>6 [5,1,6,2,7,3,9,8,4]=>[[1,2,3,4],[5,6,7,8],[9]]=>7 [1,5,2,8,6,3,9,7,4]=>[[1,2,3,4],[5,6,7],[8,9]]=>7 [1,5,2,6,3,9,8,7,4]=>[[1,2,3,4],[5,6,7],[8],[9]]=>6 [1,2,7,5,3,9,8,6,4]=>[[1,2,3,4],[5,6],[7,8],[9]]=>6 [1,2,5,3,9,8,7,6,4]=>[[1,2,3,4],[5,6],[7],[8],[9]]=>5 [4,1,7,5,2,9,8,6,3]=>[[1,2,3],[4,5,6],[7,8],[9]]=>6 [4,1,5,2,9,8,7,6,3]=>[[1,2,3],[4,5,6],[7],[8],[9]]=>5 [1,6,4,2,9,8,7,5,3]=>[[1,2,3],[4,5],[6,7],[8],[9]]=>5 [1,4,2,9,8,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8],[9]]=>4 [7,5,3,1,9,8,6,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>5 [5,3,1,9,8,7,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8],[9]]=>4 [1,2,3,4,8,5,9,6,10,7]=>[[1,2,3,4,5,6,7],[8,9,10]]=>9 [1,2,3,4,5,8,6,10,9,7]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>8 [1,2,3,7,4,8,5,10,9,6]=>[[1,2,3,4,5,6],[7,8,9],[10]]=>8 [1,2,3,4,9,7,5,10,8,6]=>[[1,2,3,4,5,6],[7,8],[9,10]]=>8 [1,2,3,4,7,5,10,9,8,6]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>7 [1,6,2,7,3,8,4,10,9,5]=>[[1,2,3,4,5],[6,7,8,9],[10]]=>8 [1,2,6,3,9,7,4,10,8,5]=>[[1,2,3,4,5],[6,7,8],[9,10]]=>8 [1,2,6,3,7,4,10,9,8,5]=>[[1,2,3,4,5],[6,7,8],[9],[10]]=>7 [1,2,3,8,6,4,10,9,7,5]=>[[1,2,3,4,5],[6,7],[8,9],[10]]=>7 [1,2,3,6,4,10,9,8,7,5]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>6 [5,1,6,2,9,7,3,10,8,4]=>[[1,2,3,4],[5,6,7,8],[9,10]]=>8 [5,1,6,2,7,3,10,9,8,4]=>[[1,2,3,4],[5,6,7,8],[9],[10]]=>7 [1,5,2,6,3,10,9,8,7,4]=>[[1,2,3,4],[5,6,7],[8],[9],[10]]=>6 [1,2,7,5,3,10,9,8,6,4]=>[[1,2,3,4],[5,6],[7,8],[9],[10]]=>6 [1,2,5,3,10,9,8,7,6,4]=>[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>5 [7,4,1,8,5,2,10,9,6,3]=>[[1,2,3],[4,5,6],[7,8,9],[10]]=>7 [4,1,9,7,5,2,10,8,6,3]=>[[1,2,3],[4,5,6],[7,8],[9,10]]=>7 [4,1,7,5,2,10,9,8,6,3]=>[[1,2,3],[4,5,6],[7,8],[9],[10]]=>6 [4,1,5,2,10,9,8,7,6,3]=>[[1,2,3],[4,5,6],[7],[8],[9],[10]]=>5 [1,8,6,4,2,10,9,7,5,3]=>[[1,2,3],[4,5],[6,7],[8,9],[10]]=>6 [1,6,4,2,10,9,8,7,5,3]=>[[1,2,3],[4,5],[6,7],[8],[9],[10]]=>5 [1,4,2,10,9,8,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>4 [7,5,3,1,10,9,8,6,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9],[10]]=>5 [5,3,1,10,9,8,7,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>4 [4,3,1,6,2,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [7,5,2,1,8,4,3,6]=>[[1,3,6],[2,4],[5,8],[7]]=>4 [5,3,1,4,7,8,2,6]=>[[1,2,6,8],[3,4,7],[5]]=>5 [7,1,2,4,8,3,5,6]=>[[1,2,3,5,6],[4,8],[7]]=>6 [8,6,1,3,5,7,4,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>4 [7,1,5,8,2,3,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [3,6,8,5,1,4,2,7]=>[[1,2,7],[3,4,8],[5],[6]]=>4 [5,2,4,1,6,8,3,7]=>[[1,3,6,7],[2,4,8],[5]]=>4 [4,3,1,2,5,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>5 [1,2,4,7,8,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [8,3,6,5,7,4,2,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>3 [8,2,6,5,7,4,3,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>3 [8,4,7,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>5 [8,2,6,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,2,5,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [8,5,7,1,4,3,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [5,3,1,8,4,2,6,7]=>[[1,2,6,7],[3,4],[5,8]]=>5 [2,1,6,5,8,7,3,4]=>[[1,3,4],[2,5,7],[6,8]]=>4 [6,1,5,4,7,3,8,2]=>[[1,2,7,8],[3],[4],[5],[6]]=>4 [3,1,8,4,2,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>4 [2,8,7,4,1,3,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>3 [8,2,3,1,7,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [8,7,2,3,1,6,4,5]=>[[1,3,4,5],[2,6],[7],[8]]=>4 [7,2,5,8,3,1,4,6]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [6,8,2,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6,8]]=>5 [8,2,5,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [8,2,7,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7],[8]]=>5 [5,3,2,8,7,1,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>3 [8,6,7,4,1,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [4,1,3,6,5,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,6,3,2,5,1,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>3 [4,8,3,2,6,5,7,1]=>[[1,5,7],[2,6],[3,8],[4]]=>3 [4,8,3,6,5,2,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>3 [8,1,6,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [2,4,3,8,6,1,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>4 [2,6,3,8,5,4,7,1]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [6,1,3,2,5,8,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>4 [6,8,4,2,5,3,7,1]=>[[1,3,7],[2,5],[4,8],[6]]=>4 [6,8,4,3,5,2,7,1]=>[[1,5,7],[2,8],[3],[4],[6]]=>3 [8,1,4,6,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>4 [3,5,4,6,1,2,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>5 [7,3,5,6,1,8,2,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [5,7,6,3,4,2,8,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [4,6,7,2,3,5,8,1]=>[[1,3,5,8],[2,6,7],[4]]=>5 [6,5,4,8,7,2,3,1]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [5,7,4,3,6,2,1,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>3 [1,2,8,3,4,5,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [1,2,9,3,4,5,6,7,10,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [1,2,3,4,5,9,6,7,10,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [9,1,7,2,3,4,5,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>7 [1,8,5,6,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>6 [1,8,3,9,4,2,5,6,7]=>[[1,2,4,5,6,7],[3,9],[8]]=>7 [8,5,6,1,3,2,7,4]=>[[1,2,4],[3,6,7],[5],[8]]=>5 [5,3,7,8,2,6,1,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [4,5,8,3,6,1,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>5 [4,5,8,7,2,3,1,6]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [8,2,6,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>4 [6,3,1,8,7,4,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>5 [8,6,3,2,7,4,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [1,3,6,8,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [5,7,1,3,6,2,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>5 [4,7,1,3,2,5,8,6]=>[[1,2,5,6],[3,7,8],[4]]=>5 [5,8,7,3,4,2,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>3 [8,5,2,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [4,7,6,3,5,2,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [5,3,1,6,4,8,7,2]=>[[1,2,7],[3,4,8],[5,6]]=>5 [8,5,1,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [3,7,8,5,6,2,4,1]=>[[1,4,6],[2,5],[3,8],[7]]=>4 [7,4,3,6,2,5,8,1]=>[[1,5,8],[2,6],[3],[4],[7]]=>3 [4,3,8,7,1,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [1,5,3,8,4,7,2,6]=>[[1,2,4,6],[3,7],[5,8]]=>4 [8,2,3,1,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>4 [8,4,2,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>3 [8,4,2,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4],[8]]=>4 [4,7,2,3,6,5,8,1]=>[[1,3,5,8],[2,6],[4],[7]]=>4 [3,8,2,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3],[8]]=>4 [1,7,5,8,6,2,4,3]=>[[1,2,3],[4,6],[5,8],[7]]=>5 [6,5,1,7,4,8,3,2]=>[[1,2,8],[3,7],[4],[5],[6]]=>4 [7,6,3,5,1,4,8,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [6,5,4,1,7,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [8,3,6,1,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [7,1,2,6,4,8,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [3,5,1,8,6,2,4,7]=>[[1,2,4,7],[3,5,6],[8]]=>5 [6,7,5,8,4,3,2,1,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [1,8,7,5,4,6,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [8,1,6,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [8,1,6,4,7,5,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>4 [6,4,8,1,5,3,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [1,6,4,3,5,8,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [5,1,4,3,7,8,6,2]=>[[1,2,6,8],[3,7],[4],[5]]=>4 [5,7,1,8,6,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [5,7,6,3,4,2,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [4,1,3,7,6,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [4,3,6,1,2,7,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [5,8,3,6,7,2,4,1]=>[[1,4,7],[2,6],[3,8],[5]]=>4 [8,1,6,2,5,7,4,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>4 [2,7,1,5,3,6,8,4]=>[[1,3,4,8],[2,5,6],[7]]=>5 [6,8,7,3,4,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>4 [1,8,6,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>5 [5,7,3,6,4,2,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [5,7,3,6,4,1,8,2]=>[[1,2,8],[3,4],[5,6],[7]]=>5 [3,7,5,6,4,1,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,1,8,2,3,4,5,9,6]=>[[1,2,3,4,5,6],[7,8,9]]=>8 [2,8,5,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [4,5,2,6,3,1,7,8,9]=>[[1,3,6,7,8,9],[2,5],[4]]=>7 [5,6,2,3,7,4,1,8,9]=>[[1,3,4,8,9],[2,6,7],[5]]=>7 [3,4,5,2,1,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>8 [4,5,2,6,3,1,7,8,9,10]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>8 [5,6,2,3,7,4,1,8,9,10]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>8 [2,1,3,8,5,4,6,7]=>[[1,3,4,6,7],[2,5],[8]]=>5 [5,3,6,8,2,4,1,7]=>[[1,4,7],[2,6,8],[3],[5]]=>4 [1,7,8,6,3,2,4,5]=>[[1,2,4,5],[3,8],[6],[7]]=>5 [7,1,2,5,3,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>6 [3,7,4,2,5,1,8,6]=>[[1,4,5,6],[2,8],[3],[7]]=>5 [1,8,3,4,5,7,2,6]=>[[1,2,4,5,6],[3,7],[8]]=>5 [4,5,7,6,2,1,3,8]=>[[1,3,6,8],[2,5],[4],[7]]=>5 [7,8,2,6,5,4,3,1]=>[[1,3],[2,8],[4],[5],[6],[7]]=>3 [5,3,7,8,4,2,1,6]=>[[1,4,6],[2,7,8],[3],[5]]=>4 [7,3,6,8,1,5,4,2]=>[[1,2,8],[3,4],[5],[6],[7]]=>4 [7,5,8,2,4,3,6,1]=>[[1,3,6],[2,8],[4],[5],[7]]=>4 [6,5,8,2,3,4,1,7]=>[[1,3,4,7],[2,8],[5],[6]]=>4 [8,1,5,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5],[8]]=>5 [5,8,7,2,4,3,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>3 [1,7,2,4,8,5,6,3]=>[[1,2,3,5,6],[4,8],[7]]=>6 [5,8,2,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>4 [7,8,2,3,5,4,6,1]=>[[1,3,4,6],[2,8],[5],[7]]=>5 [8,4,1,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [8,7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>4 [1,7,6,8,4,5,3,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [2,7,3,1,8,5,6,4]=>[[1,3,4,6],[2,5],[7,8]]=>5 [3,8,5,2,1,6,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>4 [4,8,7,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7],[8]]=>5 [8,7,2,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7],[8]]=>3 [6,1,7,3,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [7,1,8,6,4,2,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>5 [4,1,3,5,8,2,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [1,8,5,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>3 [1,4,7,6,8,3,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [1,7,2,8,6,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [5,7,1,6,4,2,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>5 [4,8,2,7,5,1,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>4 [2,8,4,6,7,1,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>4 [3,8,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5],[8]]=>5 [1,7,6,2,5,3,8,4]=>[[1,2,3,4],[5,8],[6],[7]]=>5 [1,7,5,2,4,3,8,6]=>[[1,2,3,6],[4,8],[5],[7]]=>5 [2,8,5,1,4,3,6,7]=>[[1,3,6,7],[2,4],[5],[8]]=>4 [1,3,2,5,7,4,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>5 [3,1,2,5,7,6,8,4]=>[[1,2,4,6,8],[3,5],[7]]=>5 [5,1,7,3,2,6,8,4]=>[[1,2,4,8],[3,6],[5,7]]=>5 [4,7,2,3,5,1,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>5 [4,8,2,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4],[8]]=>4 [8,7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [8,6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6],[8]]=>4 [8,1,2,4,7,3,5,6]=>[[1,2,3,5,6],[4,7],[8]]=>5 [7,6,2,8,4,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>4 [6,8,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5,8],[6]]=>4 [4,1,7,5,6,8,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [3,7,6,2,1,4,5,8]=>[[1,4,5,8],[2,6],[3],[7]]=>4 [1,6,8,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>4 [1,4,8,7,6,3,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>3 [1,2,3,4,7,5,6,9,8]=>[[1,2,3,4,5,6,8],[7,9]]=>7 [4,6,7,5,2,3,1,8]=>[[1,3,7,8],[2,5],[4],[6]]=>5 [6,2,5,3,1,8,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,2,5,3,8,7,1,4]=>[[1,3,4],[2,7],[5,8],[6]]=>4 [6,4,5,3,8,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [1,6,4,5,8,7,3,2]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [8,4,7,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7],[8]]=>4 [8,2,7,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [8,2,4,7,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [8,2,6,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [8,4,6,7,5,3,1,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>4 [6,4,5,8,7,3,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,2,8,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [4,6,5,3,8,7,1,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [6,7,2,4,5,3,1,8]=>[[1,3,5,8],[2,7],[4],[6]]=>5 [6,8,7,4,5,3,1,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>4 [2,8,4,7,5,3,1,6]=>[[1,3,5,6],[2],[4],[7],[8]]=>4 [5,8,7,4,6,3,1,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>3 [6,5,8,4,7,2,1,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>3 [4,8,6,2,5,7,1,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [8,1,6,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6],[8]]=>5 [6,8,1,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [8,1,5,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5],[8]]=>4 [8,3,7,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>2 [1,2,3,4,8,9,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [4,6,1,3,5,8,2,7]=>[[1,2,5,7],[3,6,8],[4]]=>4 [4,5,1,3,8,7,2,6]=>[[1,2,6],[3,5,7],[4,8]]=>4 [6,2,7,1,8,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [6,4,5,8,1,7,2,3]=>[[1,2,3],[4,5,7],[6,8]]=>5 [6,2,8,5,1,4,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [2,4,7,6,1,8,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>4 [7,4,5,8,6,3,2,1]=>[[1,5,6],[2,8],[3],[4],[7]]=>4 [8,6,9,7,4,3,2,1,5]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>4 [8,6,4,9,7,5,2,1,3]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>5 [9,7,5,3,8,6,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>5 [9,7,10,8,5,4,3,2,1,6]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>4 [9,7,5,10,8,6,3,2,1,4]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>5 [8,6,4,9,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8,9]]=>6 [10,8,6,4,1,2,9,7,5,3]=>[[1,2,3],[4,5],[6,7],[8,9],[10]]=>6 [4,2,5,6,1,7,3,8,9]=>[[1,3,6,7,8,9],[2,5],[4]]=>7 [5,3,6,4,7,1,8,2,9]=>[[1,2,7,8,9],[3,4],[5,6]]=>7 [3,5,2,6,7,1,8,4,9]=>[[1,4,6,7,8,9],[2,5],[3]]=>6 [4,3,6,2,7,8,1,9,5]=>[[1,5,7,8,9],[2,6],[3],[4]]=>5 [3,4,5,1,6,2,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>9 [4,2,5,6,1,7,3,8,9,10]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>8 [4,5,6,7,1,8,2,9,3,10]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9 [5,3,6,4,7,1,8,2,9,10]=>[[1,2,7,8,9,10],[3,4],[5,6]]=>8 [3,5,2,6,7,1,8,4,9,10]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>7 [5,2,6,7,8,1,9,3,10,4]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>8 [4,3,6,2,7,8,1,9,5,10]=>[[1,5,7,8,9,10],[2,6],[3],[4]]=>6 [6,1,7,8,9,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>8 [5,1,6,7,8,2,9,3,4]=>[[1,2,3,4,9],[5,6,7,8]]=>8 [5,1,6,7,8,9,10,2,3,4]=>[[1,2,3,4,9,10],[5,6,7,8]]=>9 [7,4,1,3,6,8,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>4 [6,8,1,2,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,6,2,8,7,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>6 [1,6,8,5,7,4,3,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>3 [3,8,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>4 [1,4,5,7,3,6,8,2]=>[[1,2,5,6,8],[3,7],[4]]=>5 [2,3,8,1,4,6,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [3,6,2,4,7,5,8,1]=>[[1,4,5,8],[2,6,7],[3]]=>5 [3,1,8,4,6,2,5,7]=>[[1,2,5,7],[3,4,6],[8]]=>5 [4,2,7,3,5,8,1,6]=>[[1,3,5,6],[2,7,8],[4]]=>5 [3,1,8,4,5,6,2,7]=>[[1,2,5,6,7],[3,4],[8]]=>6 [4,2,7,8,6,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>4 [7,1,4,2,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>5 [2,3,7,4,8,1,6,5]=>[[1,3,4,5],[2,6],[7,8]]=>5 [1,6,3,5,8,7,4,2]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [8,4,6,3,5,1,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>4 [7,3,2,6,8,4,5,1]=>[[1,4,5],[2,6,8],[3],[7]]=>4 [2,4,5,7,1,6,8,3]=>[[1,3,5,6,8],[2,4],[7]]=>5 [8,4,2,6,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>4 [4,1,5,7,8,6,2,3]=>[[1,2,3,8],[4,5,6],[7]]=>6 [6,1,4,8,2,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>5 [7,6,2,3,5,8,4,1]=>[[1,3,4,8],[2],[5],[6],[7]]=>4 [2,8,5,7,6,3,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>4 [2,5,7,8,6,4,1,3]=>[[1,3,6,8],[2,4],[5],[7]]=>4 [7,4,1,6,2,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [5,6,2,4,8,7,3,1]=>[[1,3,7],[2,6,8],[4],[5]]=>4 [8,5,6,2,3,7,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>5 [7,8,1,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [8,9,1,5,6,7,4,3,2]=>[[1,2,6,7],[3,9],[4],[5],[8]]=>5 [8,9,1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7],[8,9]]=>6 [8,9,10,1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8,9,10]]=>8 [9,10,1,6,7,8,5,4,3,2]=>[[1,2,7,8],[3,10],[4],[5],[6],[9]]=>5 [2,6,1,4,7,5,8,3]=>[[1,3,5,8],[2,4,7],[6]]=>5 [3,1,5,7,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [3,1,7,5,2,6,8,4]=>[[1,2,4,8],[3,5,6],[7]]=>5 [3,2,7,5,1,6,8,4]=>[[1,4,6,8],[2,5],[3,7]]=>4 [5,2,7,3,1,6,8,4]=>[[1,3,4,8],[2,6],[5,7]]=>5 [6,7,2,1,3,4,8,5]=>[[1,3,4,5],[2,7,8],[6]]=>6 [4,6,3,1,2,7,8,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [2,3,5,6,8,4,7,1]=>[[1,3,4,6,7],[2,8],[5]]=>5 [2,4,5,8,3,6,7,1]=>[[1,3,5,6,7],[2,8],[4]]=>5 [4,5,8,7,6,3,1,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>4 [8,7,4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>3 [8,1,4,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [1,6,3,7,8,4,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>6 [7,4,2,8,5,6,3,1]=>[[1,3,6],[2,5],[4,8],[7]]=>5 [5,2,1,3,8,4,6,7]=>[[1,3,4,6,7],[2,8],[5]]=>5 [1,4,3,5,8,2,6,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [2,1,3,8,6,4,5,7]=>[[1,3,4,5,7],[2,6],[8]]=>5 [1,3,6,4,5,8,2,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [6,1,4,3,5,8,2,7]=>[[1,2,5,7],[3,8],[4],[6]]=>4 [6,5,1,3,8,2,4,7]=>[[1,2,4,7],[3,8],[5],[6]]=>4 [1,4,3,8,6,2,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [4,1,3,8,6,2,5,7]=>[[1,2,5,7],[3,6],[4,8]]=>4 [7,1,5,4,6,3,8,2]=>[[1,2,6,8],[3],[4],[5],[7]]=>4 [8,9,7,6,5,4,3,2,10,1]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>3 [7,6,8,5,4,3,2,9,1]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>3 [6,4,7,8,3,5,1,2]=>[[1,2,8],[3,5],[4,7],[6]]=>5 [3,5,6,7,1,8,4,2]=>[[1,2,6,7,8],[3,4],[5]]=>6 [1,7,5,4,3,8,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>4 [4,5,8,1,7,3,2,6]=>[[1,2,6],[3,5,7],[4],[8]]=>4 [4,6,7,1,3,8,2,5]=>[[1,2,5,8],[3,6,7],[4]]=>5 [2,6,3,1,4,7,8,5]=>[[1,3,4,5,8],[2,7],[6]]=>6 [2,7,3,4,1,8,5,6]=>[[1,3,4,5,6],[2,8],[7]]=>6 [4,2,6,3,5,8,1,7]=>[[1,3,5,7],[2,6,8],[4]]=>4 [7,4,2,6,8,5,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [8,5,2,4,6,3,1,7]=>[[1,3,6,7],[2],[4],[5],[8]]=>4 [7,4,1,2,8,5,6,3]=>[[1,2,3,6],[4,5],[7,8]]=>6 [6,4,1,8,5,2,3,7]=>[[1,2,3,7],[4,5],[6,8]]=>5 [8,4,1,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4],[8]]=>4 [7,3,4,1,6,8,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [8,6,2,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>4 [8,6,2,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>4 [6,3,4,8,5,1,2,7]=>[[1,2,5,7],[3,4],[6,8]]=>5 [8,5,1,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>4 [7,2,6,8,3,4,5,1]=>[[1,3,4,5],[2,8],[6],[7]]=>5 [1,6,7,5,4,8,2,3]=>[[1,2,3,8],[4,7],[5],[6]]=>5 [1,8,5,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [3,6,2,7,8,9,1,5,4]=>[[1,4,7,8,9],[2,5],[3,6]]=>5 [5,6,3,7,8,9,1,4,2]=>[[1,2,7,8,9],[3,4],[5,6]]=>7 [3,6,2,7,8,9,10,1,5,4]=>[[1,4,7,8,9,10],[2,5],[3,6]]=>6 [5,2,6,7,8,9,10,1,3,4]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>8 [5,8,6,1,2,4,3,7]=>[[1,2,3,7],[4,6],[5],[8]]=>5 [4,1,5,7,3,6,8,2]=>[[1,2,6,8],[3,5,7],[4]]=>5 [1,4,5,7,6,8,2,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [5,7,2,1,6,8,4,3]=>[[1,3,8],[2,4],[5,6],[7]]=>4 [2,6,3,1,7,8,5,4]=>[[1,3,4,8],[2,5],[6,7]]=>5 [6,2,5,7,4,1,8,3]=>[[1,3,7,8],[2,4],[5],[6]]=>4 [3,6,1,8,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>5 [4,7,1,3,5,6,8,2]=>[[1,2,5,6,8],[3,7],[4]]=>5 [4,3,5,7,8,2,6,1]=>[[1,5,6,8],[2,7],[3],[4]]=>4 [5,3,2,7,6,4,1,8]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,3,7,4,6,2,1,8]=>[[1,4,6,8],[2,7],[3],[5]]=>4 [5,7,3,2,1,8,6,4]=>[[1,4,8],[2,6],[3,7],[5]]=>4 [5,7,6,3,2,1,8,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [3,2,7,5,4,1,8,6]=>[[1,4,6],[2,5,8],[3],[7]]=>4 [1,7,3,5,4,2,6,8]=>[[1,2,4,6,8],[3],[5],[7]]=>5 [5,3,7,4,1,8,6,2]=>[[1,2,6],[3,4,8],[5,7]]=>5 [7,3,5,4,1,6,8,2]=>[[1,2,6,8],[3,4],[5],[7]]=>5 [7,5,1,6,8,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>5 [5,3,1,7,6,8,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>5 [7,1,5,3,2,4,8,6]=>[[1,2,4,6],[3,8],[5],[7]]=>5 [7,1,5,2,4,3,6,8]=>[[1,2,3,6,8],[4],[5],[7]]=>5 [5,6,7,8,9,3,2,1,4]=>[[1,4,7,8,9],[2,6],[3],[5]]=>6 [6,7,8,9,3,4,1,2,5]=>[[1,2,5,9],[3,4,8],[6,7]]=>7 [6,7,8,9,3,4,2,1,5]=>[[1,4,5,9],[2,7,8],[3],[6]]=>6 [7,8,9,4,5,2,3,1,6]=>[[1,3,6],[2,5,9],[4,8],[7]]=>6 [7,8,9,4,5,3,2,1,6]=>[[1,5,6],[2,8,9],[3],[4],[7]]=>5 [5,6,7,8,9,10,3,2,1,4]=>[[1,4,7,8,9,10],[2,6],[3],[5]]=>7 [7,8,9,10,3,4,5,1,2,6]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>8 [7,8,9,10,3,4,5,2,1,6]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>7 [7,8,9,10,4,5,2,3,1,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>7 [7,8,9,10,4,5,3,2,1,6]=>[[1,5,6,10],[2,8,9],[3],[4],[7]]=>6 [7,8,9,10,5,4,3,2,1,6]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>5 [8,9,10,5,6,3,4,1,2,7]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>7 [8,9,10,5,6,3,4,2,1,7]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>6 [8,9,10,5,6,4,3,2,1,7]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>5 [8,9,10,6,5,4,3,2,1,7]=>[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>4 [9,10,7,6,5,4,3,2,1,8]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>3 [1,8,3,6,2,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>5 [1,8,7,5,6,4,2,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [6,8,2,1,5,4,3,7]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [10,9,1,2,3,7,8,4,5,6]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>7 [10,9,1,2,8,7,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>6 [5,7,1,2,3,4,8,9,10,6]=>[[1,2,3,4,6,9,10],[5,7,8]]=>8 [6,3,2,1,5,8,4,7]=>[[1,4,7],[2,5,8],[3],[6]]=>3 [4,3,5,6,2,8,1,7]=>[[1,5,6,7],[2,8],[3],[4]]=>4 [6,3,5,2,7,8,4,1]=>[[1,4,7,8],[2,5],[3],[6]]=>4 [4,5,3,1,6,8,2,7]=>[[1,2,6,7],[3,5,8],[4]]=>5 [3,4,6,7,5,1,8,2]=>[[1,2,5,7,8],[3,4],[6]]=>6 [7,4,1,2,5,6,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>6 [4,8,2,6,7,1,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>4 [6,5,8,3,7,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>4 [1,5,2,4,7,6,8,3]=>[[1,2,3,6,8],[4,7],[5]]=>5 [2,5,4,7,1,8,3,6]=>[[1,3,6,8],[2,4,7],[5]]=>4 [8,1,2,4,6,3,5,7]=>[[1,2,3,5,7],[4,6],[8]]=>5 [5,4,6,7,8,9,3,2,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>5 [6,5,7,8,9,4,3,2,1]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>4 [6,5,7,8,9,10,4,3,2,1]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>5 [5,4,6,7,8,3,9,2,1]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>5 [4,3,6,7,8,9,5,2,1]=>[[1,5,7,8,9],[2,6],[3],[4]]=>5 [5,4,6,7,8,9,10,3,2,1]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>6 [5,6,3,7,8,9,4,1,2]=>[[1,2,7,8,9],[3,4],[5,6]]=>7 [3,7,8,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>6 [5,2,6,7,8,9,3,1,4]=>[[1,3,4,8,9],[2,6,7],[5]]=>7 [1,3,8,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [2,6,5,3,7,1,8,4]=>[[1,3,4,8],[2,7],[5],[6]]=>5 [5,7,1,3,6,4,8,2]=>[[1,2,4,8],[3,6],[5],[7]]=>5 [8,2,5,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5],[8]]=>3 [8,1,7,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7],[8]]=>4 [1,8,6,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>5 [6,4,8,7,3,2,5,1]=>[[1,5],[2,7],[3,8],[4],[6]]=>3 [5,6,2,8,7,4,3,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>4 [6,2,8,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>5 [3,7,5,6,4,2,8,1]=>[[1,4,6,8],[2],[3],[5],[7]]=>4 [5,2,3,8,6,1,4,7]=>[[1,3,4,7],[2,6],[5,8]]=>5 [1,4,3,8,5,6,2,7]=>[[1,2,5,6,7],[3,8],[4]]=>5 [7,8,2,6,4,3,5,1]=>[[1,3,5],[2,8],[4],[6],[7]]=>4 [4,5,8,7,2,3,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>4 [7,8,6,1,4,2,5,3]=>[[1,2,3],[4,5],[6,8],[7]]=>5 [8,3,6,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>3 [5,1,3,6,4,2,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>6 [6,1,2,4,7,5,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>6 [8,3,1,4,6,7,2,5]=>[[1,2,5,7],[3,4,6],[8]]=>5 [7,8,5,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6 [6,4,5,1,8,7,3,2]=>[[1,2,7],[3,5],[4,8],[6]]=>4 [8,6,2,1,7,3,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>4 [7,8,6,1,4,3,5,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>4 [4,6,3,5,7,2,8,1,9]=>[[1,5,7,8,9],[2,6],[3],[4]]=>5 [5,6,3,4,7,2,8,1,9]=>[[1,4,7,8,9],[2,6],[3],[5]]=>6 [4,3,6,2,5,7,1,8]=>[[1,5,7,8],[2,6],[3],[4]]=>4 [1,6,5,7,3,4,8,2]=>[[1,2,4,8],[3,7],[5],[6]]=>5 [1,2,3,4,8,5,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>8 [1,2,3,4,5,9,6,10,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>9 [8,2,6,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>3 [7,6,4,1,2,5,8,3]=>[[1,2,3,8],[4,5],[6],[7]]=>5 [2,6,5,4,8,7,1,3]=>[[1,3,7],[2,4],[5,8],[6]]=>3 [5,6,7,1,3,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>6 [7,1,8,4,3,2,6,5]=>[[1,2,5],[3,6],[4,8],[7]]=>4 [1,8,5,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>4 [1,7,6,8,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [1,7,8,6,2,5,4,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>4 [4,6,5,7,1,8,2,3]=>[[1,2,3,8],[4,5,7],[6]]=>6 [7,5,3,6,8,4,2,1]=>[[1,4,8],[2,6],[3],[5],[7]]=>4 [7,2,5,6,4,8,3,1]=>[[1,3,6,8],[2],[4],[5],[7]]=>4 [7,4,6,2,8,5,3,1]=>[[1,3,8],[2,5],[4],[6],[7]]=>4 [1,6,3,4,2,5,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>5 [1,5,7,6,2,3,8,4]=>[[1,2,3,4],[5,6,8],[7]]=>6 [1,4,3,7,6,2,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>4 [3,7,4,6,8,1,5,2]=>[[1,2,5,8],[3,4],[6],[7]]=>5 [4,8,3,1,7,6,2,5]=>[[1,2,5],[3,6],[4,7],[8]]=>3 [5,6,1,4,3,8,7,2]=>[[1,2,7],[3,6,8],[4],[5]]=>4 [5,8,6,4,3,1,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>4 [4,1,3,7,8,6,5,2]=>[[1,2,5,8],[3,6],[4],[7]]=>4