=>

[[1]]=>1 [[2]]=>1 [[3]]=>1 [[4]]=>1 [[5]]=>1 [[1,0],[0]]=>2 [[1,0],[1]]=>2 [[2,0],[0]]=>2 [[2,0],[1]]=>3 [[2,0],[2]]=>2 [[1,1],[1]]=>1 [[3,0],[0]]=>2 [[3,0],[1]]=>3 [[3,0],[2]]=>3 [[3,0],[3]]=>2 [[2,1],[1]]=>2 [[2,1],[2]]=>2 [[4,0],[0]]=>2 [[4,0],[1]]=>3 [[4,0],[2]]=>3 [[4,0],[3]]=>3 [[4,0],[4]]=>2 [[3,1],[1]]=>2 [[3,1],[2]]=>3 [[3,1],[3]]=>2 [[2,2],[2]]=>1 [[5,0],[0]]=>2 [[5,0],[1]]=>3 [[5,0],[2]]=>3 [[5,0],[3]]=>3 [[5,0],[4]]=>3 [[5,0],[5]]=>2 [[4,1],[1]]=>2 [[4,1],[2]]=>3 [[4,1],[3]]=>3 [[4,1],[4]]=>2 [[3,2],[2]]=>2 [[3,2],[3]]=>2 [[6,0],[0]]=>2 [[6,0],[1]]=>3 [[6,0],[2]]=>3 [[6,0],[3]]=>3 [[6,0],[4]]=>3 [[6,0],[5]]=>3 [[6,0],[6]]=>2 [[5,1],[1]]=>2 [[5,1],[2]]=>3 [[5,1],[3]]=>3 [[5,1],[4]]=>3 [[5,1],[5]]=>2 [[4,2],[2]]=>2 [[4,2],[3]]=>3 [[4,2],[4]]=>2 [[3,3],[3]]=>1 [[1,0,0],[0,0],[0]]=>2 [[1,0,0],[1,0],[0]]=>2 [[1,0,0],[1,0],[1]]=>2 [[2,0,0],[0,0],[0]]=>2 [[2,0,0],[1,0],[0]]=>3 [[2,0,0],[1,0],[1]]=>3 [[2,0,0],[2,0],[0]]=>2 [[2,0,0],[2,0],[1]]=>3 [[2,0,0],[2,0],[2]]=>2 [[1,1,0],[1,0],[0]]=>2 [[1,1,0],[1,0],[1]]=>2 [[1,1,0],[1,1],[1]]=>2 [[3,0,0],[0,0],[0]]=>2 [[3,0,0],[1,0],[0]]=>3 [[3,0,0],[1,0],[1]]=>3 [[3,0,0],[2,0],[0]]=>3 [[3,0,0],[2,0],[1]]=>4 [[3,0,0],[2,0],[2]]=>3 [[3,0,0],[3,0],[0]]=>2 [[3,0,0],[3,0],[1]]=>3 [[3,0,0],[3,0],[2]]=>3 [[3,0,0],[3,0],[3]]=>2 [[2,1,0],[1,0],[0]]=>3 [[2,1,0],[1,0],[1]]=>3 [[2,1,0],[1,1],[1]]=>3 [[2,1,0],[2,0],[0]]=>3 [[2,1,0],[2,0],[1]]=>4 [[2,1,0],[2,0],[2]]=>3 [[2,1,0],[2,1],[1]]=>3 [[2,1,0],[2,1],[2]]=>3 [[1,1,1],[1,1],[1]]=>1 [[4,0,0],[0,0],[0]]=>2 [[4,0,0],[1,0],[0]]=>3 [[4,0,0],[1,0],[1]]=>3 [[4,0,0],[2,0],[0]]=>3 [[4,0,0],[2,0],[1]]=>4 [[4,0,0],[2,0],[2]]=>3 [[4,0,0],[3,0],[0]]=>3 [[4,0,0],[3,0],[1]]=>4 [[4,0,0],[3,0],[2]]=>4 [[4,0,0],[3,0],[3]]=>3 [[4,0,0],[4,0],[0]]=>2 [[4,0,0],[4,0],[1]]=>3 [[4,0,0],[4,0],[2]]=>3 [[4,0,0],[4,0],[3]]=>3 [[4,0,0],[4,0],[4]]=>2 [[3,1,0],[1,0],[0]]=>3 [[3,1,0],[1,0],[1]]=>3 [[3,1,0],[1,1],[1]]=>3 [[3,1,0],[2,0],[0]]=>4 [[3,1,0],[2,0],[1]]=>5 [[3,1,0],[2,0],[2]]=>4 [[3,1,0],[2,1],[1]]=>4 [[3,1,0],[2,1],[2]]=>4 [[3,1,0],[3,0],[0]]=>3 [[3,1,0],[3,0],[1]]=>4 [[3,1,0],[3,0],[2]]=>4 [[3,1,0],[3,0],[3]]=>3 [[3,1,0],[3,1],[1]]=>3 [[3,1,0],[3,1],[2]]=>4 [[3,1,0],[3,1],[3]]=>3 [[2,2,0],[2,0],[0]]=>2 [[2,2,0],[2,0],[1]]=>3 [[2,2,0],[2,0],[2]]=>2 [[2,2,0],[2,1],[1]]=>3 [[2,2,0],[2,1],[2]]=>3 [[2,2,0],[2,2],[2]]=>2 [[2,1,1],[1,1],[1]]=>2 [[2,1,1],[2,1],[1]]=>2 [[2,1,1],[2,1],[2]]=>2 [[5,0,0],[0,0],[0]]=>2 [[5,0,0],[1,0],[0]]=>3 [[5,0,0],[1,0],[1]]=>3 [[5,0,0],[2,0],[0]]=>3 [[5,0,0],[2,0],[1]]=>4 [[5,0,0],[2,0],[2]]=>3 [[5,0,0],[3,0],[0]]=>3 [[5,0,0],[3,0],[1]]=>4 [[5,0,0],[3,0],[2]]=>4 [[5,0,0],[3,0],[3]]=>3 [[5,0,0],[4,0],[0]]=>3 [[5,0,0],[4,0],[1]]=>4 [[5,0,0],[4,0],[2]]=>4 [[5,0,0],[4,0],[3]]=>4 [[5,0,0],[4,0],[4]]=>3 [[5,0,0],[5,0],[1]]=>3 [[5,0,0],[5,0],[2]]=>3 [[5,0,0],[5,0],[3]]=>3 [[5,0,0],[5,0],[4]]=>3 [[5,0,0],[5,0],[5]]=>2 [[4,1,0],[1,0],[0]]=>3 [[4,1,0],[1,0],[1]]=>3 [[4,1,0],[1,1],[1]]=>3 [[4,1,0],[2,0],[0]]=>4 [[4,1,0],[2,0],[1]]=>5 [[4,1,0],[2,0],[2]]=>4 [[4,1,0],[2,1],[1]]=>4 [[4,1,0],[2,1],[2]]=>4 [[4,1,0],[3,0],[0]]=>4 [[4,1,0],[3,0],[1]]=>5 [[4,1,0],[3,0],[2]]=>5 [[4,1,0],[3,0],[3]]=>4 [[4,1,0],[3,1],[1]]=>4 [[4,1,0],[3,1],[2]]=>5 [[4,1,0],[3,1],[3]]=>4 [[4,1,0],[4,0],[0]]=>3 [[4,1,0],[4,0],[1]]=>4 [[4,1,0],[4,0],[2]]=>4 [[4,1,0],[4,0],[3]]=>4 [[4,1,0],[4,0],[4]]=>3 [[4,1,0],[4,1],[1]]=>3 [[4,1,0],[4,1],[2]]=>4 [[4,1,0],[4,1],[3]]=>4 [[4,1,0],[4,1],[4]]=>3 [[3,2,0],[2,0],[0]]=>3 [[3,2,0],[2,0],[1]]=>4 [[3,2,0],[2,0],[2]]=>3 [[3,2,0],[2,1],[1]]=>4 [[3,2,0],[2,1],[2]]=>4 [[3,2,0],[2,2],[2]]=>3 [[3,2,0],[3,0],[0]]=>3 [[3,2,0],[3,0],[1]]=>4 [[3,2,0],[3,0],[2]]=>4 [[3,2,0],[3,0],[3]]=>3 [[3,2,0],[3,1],[1]]=>4 [[3,2,0],[3,1],[2]]=>5 [[3,2,0],[3,1],[3]]=>4 [[3,2,0],[3,2],[2]]=>3 [[3,2,0],[3,2],[3]]=>3 [[3,1,1],[1,1],[1]]=>2 [[3,1,1],[2,1],[1]]=>3 [[3,1,1],[2,1],[2]]=>3 [[3,1,1],[3,1],[1]]=>2 [[3,1,1],[3,1],[2]]=>3 [[3,1,1],[3,1],[3]]=>2 [[2,2,1],[2,1],[1]]=>2 [[2,2,1],[2,1],[2]]=>2 [[2,2,1],[2,2],[2]]=>2 [[3,2,1],[2,1],[1]]=>3 [[3,2,1],[2,1],[2]]=>3 [[3,2,1],[3,1],[1]]=>3 [[3,2,1],[3,1],[2]]=>4 [[3,2,1],[3,1],[3]]=>3 [[3,2,1],[3,2],[2]]=>3 [[3,2,1],[3,2],[3]]=>3 [[1,0,0,0],[0,0,0],[0,0],[0]]=>2 [[1,0,0,0],[1,0,0],[0,0],[0]]=>2 [[1,0,0,0],[1,0,0],[1,0],[0]]=>2 [[1,0,0,0],[1,0,0],[1,0],[1]]=>2 [[2,0,0,0],[0,0,0],[0,0],[0]]=>2 [[2,0,0,0],[1,0,0],[0,0],[0]]=>3 [[2,0,0,0],[1,0,0],[1,0],[0]]=>3 [[2,0,0,0],[1,0,0],[1,0],[1]]=>3 [[2,0,0,0],[2,0,0],[0,0],[0]]=>2 [[2,0,0,0],[2,0,0],[1,0],[0]]=>3 [[2,0,0,0],[2,0,0],[1,0],[1]]=>3 [[2,0,0,0],[2,0,0],[2,0],[0]]=>2 [[2,0,0,0],[2,0,0],[2,0],[1]]=>3 [[2,0,0,0],[2,0,0],[2,0],[2]]=>2 [[1,1,0,0],[1,0,0],[0,0],[0]]=>2 [[1,1,0,0],[1,0,0],[1,0],[0]]=>2 [[1,1,0,0],[1,0,0],[1,0],[1]]=>2 [[1,1,0,0],[1,1,0],[1,0],[0]]=>2 [[1,1,0,0],[1,1,0],[1,0],[1]]=>2 [[1,1,0,0],[1,1,0],[1,1],[1]]=>2 [[3,0,0,0],[0,0,0],[0,0],[0]]=>2 [[3,0,0,0],[1,0,0],[0,0],[0]]=>3 [[3,0,0,0],[1,0,0],[1,0],[0]]=>3 [[3,0,0,0],[1,0,0],[1,0],[1]]=>3 [[3,0,0,0],[2,0,0],[0,0],[0]]=>3 [[3,0,0,0],[2,0,0],[1,0],[0]]=>4 [[3,0,0,0],[2,0,0],[1,0],[1]]=>4 [[3,0,0,0],[2,0,0],[2,0],[0]]=>3 [[3,0,0,0],[2,0,0],[2,0],[1]]=>4 [[3,0,0,0],[2,0,0],[2,0],[2]]=>3 [[3,0,0,0],[3,0,0],[0,0],[0]]=>2 [[3,0,0,0],[3,0,0],[1,0],[0]]=>3 [[3,0,0,0],[3,0,0],[1,0],[1]]=>3 [[3,0,0,0],[3,0,0],[2,0],[0]]=>3 [[3,0,0,0],[3,0,0],[2,0],[1]]=>4 [[3,0,0,0],[3,0,0],[2,0],[2]]=>3 [[3,0,0,0],[3,0,0],[3,0],[0]]=>2 [[3,0,0,0],[3,0,0],[3,0],[1]]=>3 [[3,0,0,0],[3,0,0],[3,0],[2]]=>3 [[3,0,0,0],[3,0,0],[3,0],[3]]=>2 [[2,1,0,0],[1,0,0],[0,0],[0]]=>3 [[2,1,0,0],[1,0,0],[1,0],[0]]=>3 [[2,1,0,0],[1,0,0],[1,0],[1]]=>3 [[2,1,0,0],[1,1,0],[1,0],[0]]=>3 [[2,1,0,0],[1,1,0],[1,0],[1]]=>3 [[2,1,0,0],[1,1,0],[1,1],[1]]=>3 [[2,1,0,0],[2,0,0],[0,0],[0]]=>3 [[2,1,0,0],[2,0,0],[1,0],[0]]=>4 [[2,1,0,0],[2,0,0],[1,0],[1]]=>4 [[2,1,0,0],[2,0,0],[2,0],[0]]=>3 [[2,1,0,0],[2,0,0],[2,0],[1]]=>4 [[2,1,0,0],[2,0,0],[2,0],[2]]=>3 [[2,1,0,0],[2,1,0],[1,0],[0]]=>3 [[2,1,0,0],[2,1,0],[1,0],[1]]=>3 [[2,1,0,0],[2,1,0],[1,1],[1]]=>3 [[2,1,0,0],[2,1,0],[2,0],[0]]=>3 [[2,1,0,0],[2,1,0],[2,0],[1]]=>4 [[2,1,0,0],[2,1,0],[2,0],[2]]=>3 [[2,1,0,0],[2,1,0],[2,1],[1]]=>3 [[2,1,0,0],[2,1,0],[2,1],[2]]=>3 [[1,1,1,0],[1,1,0],[1,0],[0]]=>2 [[1,1,1,0],[1,1,0],[1,0],[1]]=>2 [[1,1,1,0],[1,1,0],[1,1],[1]]=>2 [[1,1,1,0],[1,1,1],[1,1],[1]]=>2 [[4,0,0,0],[0,0,0],[0,0],[0]]=>2 [[4,0,0,0],[1,0,0],[0,0],[0]]=>3 [[4,0,0,0],[1,0,0],[1,0],[0]]=>3 [[4,0,0,0],[1,0,0],[1,0],[1]]=>3 [[4,0,0,0],[2,0,0],[0,0],[0]]=>3 [[4,0,0,0],[2,0,0],[1,0],[0]]=>4 [[4,0,0,0],[2,0,0],[1,0],[1]]=>4 [[4,0,0,0],[2,0,0],[2,0],[0]]=>3 [[4,0,0,0],[2,0,0],[2,0],[1]]=>4 [[4,0,0,0],[2,0,0],[2,0],[2]]=>3 [[4,0,0,0],[3,0,0],[0,0],[0]]=>3 [[4,0,0,0],[3,0,0],[1,0],[0]]=>4 [[4,0,0,0],[3,0,0],[1,0],[1]]=>4 [[4,0,0,0],[3,0,0],[2,0],[0]]=>4 [[4,0,0,0],[3,0,0],[2,0],[1]]=>5 [[4,0,0,0],[3,0,0],[2,0],[2]]=>4 [[4,0,0,0],[3,0,0],[3,0],[0]]=>3 [[4,0,0,0],[3,0,0],[3,0],[1]]=>4 [[4,0,0,0],[3,0,0],[3,0],[2]]=>4 [[4,0,0,0],[3,0,0],[3,0],[3]]=>3 [[4,0,0,0],[4,0,0],[0,0],[0]]=>2 [[4,0,0,0],[4,0,0],[1,0],[0]]=>3 [[4,0,0,0],[4,0,0],[1,0],[1]]=>3 [[4,0,0,0],[4,0,0],[2,0],[0]]=>3 [[4,0,0,0],[4,0,0],[2,0],[1]]=>4 [[4,0,0,0],[4,0,0],[2,0],[2]]=>3 [[4,0,0,0],[4,0,0],[3,0],[0]]=>3 [[4,0,0,0],[4,0,0],[3,0],[1]]=>4 [[4,0,0,0],[4,0,0],[3,0],[2]]=>4 [[4,0,0,0],[4,0,0],[3,0],[3]]=>3 [[4,0,0,0],[4,0,0],[4,0],[0]]=>2 [[4,0,0,0],[4,0,0],[4,0],[1]]=>3 [[4,0,0,0],[4,0,0],[4,0],[2]]=>3 [[4,0,0,0],[4,0,0],[4,0],[3]]=>3 [[4,0,0,0],[4,0,0],[4,0],[4]]=>2 [[3,1,0,0],[1,0,0],[0,0],[0]]=>3 [[3,1,0,0],[1,0,0],[1,0],[0]]=>3 [[3,1,0,0],[1,0,0],[1,0],[1]]=>3 [[3,1,0,0],[1,1,0],[1,0],[0]]=>3 [[3,1,0,0],[1,1,0],[1,0],[1]]=>3 [[3,1,0,0],[1,1,0],[1,1],[1]]=>3 [[3,1,0,0],[2,0,0],[0,0],[0]]=>4 [[3,1,0,0],[2,0,0],[1,0],[0]]=>5 [[3,1,0,0],[2,0,0],[1,0],[1]]=>5 [[3,1,0,0],[2,0,0],[2,0],[0]]=>4 [[3,1,0,0],[2,0,0],[2,0],[1]]=>5 [[3,1,0,0],[2,0,0],[2,0],[2]]=>4 [[3,1,0,0],[2,1,0],[1,0],[0]]=>4 [[3,1,0,0],[2,1,0],[1,0],[1]]=>4 [[3,1,0,0],[2,1,0],[1,1],[1]]=>4 [[3,1,0,0],[2,1,0],[2,0],[0]]=>4 [[3,1,0,0],[2,1,0],[2,0],[1]]=>5 [[3,1,0,0],[2,1,0],[2,0],[2]]=>4 [[3,1,0,0],[2,1,0],[2,1],[1]]=>4 [[3,1,0,0],[2,1,0],[2,1],[2]]=>4 [[3,1,0,0],[3,0,0],[0,0],[0]]=>3 [[3,1,0,0],[3,0,0],[1,0],[0]]=>4 [[3,1,0,0],[3,0,0],[1,0],[1]]=>4 [[3,1,0,0],[3,0,0],[2,0],[0]]=>4 [[3,1,0,0],[3,0,0],[2,0],[1]]=>5 [[3,1,0,0],[3,0,0],[2,0],[2]]=>4 [[3,1,0,0],[3,0,0],[3,0],[0]]=>3 [[3,1,0,0],[3,0,0],[3,0],[1]]=>4 [[3,1,0,0],[3,0,0],[3,0],[2]]=>4 [[3,1,0,0],[3,0,0],[3,0],[3]]=>3 [[3,1,0,0],[3,1,0],[1,0],[0]]=>3 [[3,1,0,0],[3,1,0],[1,0],[1]]=>3 [[3,1,0,0],[3,1,0],[1,1],[1]]=>3 [[3,1,0,0],[3,1,0],[2,0],[0]]=>4 [[3,1,0,0],[3,1,0],[2,0],[1]]=>5 [[3,1,0,0],[3,1,0],[2,0],[2]]=>4 [[3,1,0,0],[3,1,0],[2,1],[1]]=>4 [[3,1,0,0],[3,1,0],[2,1],[2]]=>4 [[3,1,0,0],[3,1,0],[3,0],[0]]=>3 [[3,1,0,0],[3,1,0],[3,0],[1]]=>4 [[3,1,0,0],[3,1,0],[3,0],[2]]=>4 [[3,1,0,0],[3,1,0],[3,0],[3]]=>3 [[3,1,0,0],[3,1,0],[3,1],[1]]=>3 [[3,1,0,0],[3,1,0],[3,1],[2]]=>4 [[3,1,0,0],[3,1,0],[3,1],[3]]=>3 [[2,2,0,0],[2,0,0],[0,0],[0]]=>2 [[2,2,0,0],[2,0,0],[1,0],[0]]=>3 [[2,2,0,0],[2,0,0],[1,0],[1]]=>3 [[2,2,0,0],[2,0,0],[2,0],[0]]=>2 [[2,2,0,0],[2,0,0],[2,0],[1]]=>3 [[2,2,0,0],[2,0,0],[2,0],[2]]=>2 [[2,2,0,0],[2,1,0],[1,0],[0]]=>3 [[2,2,0,0],[2,1,0],[1,0],[1]]=>3 [[2,2,0,0],[2,1,0],[1,1],[1]]=>3 [[2,2,0,0],[2,1,0],[2,0],[0]]=>3 [[2,2,0,0],[2,1,0],[2,0],[1]]=>4 [[2,2,0,0],[2,1,0],[2,0],[2]]=>3 [[2,2,0,0],[2,1,0],[2,1],[1]]=>3 [[2,2,0,0],[2,1,0],[2,1],[2]]=>3 [[2,2,0,0],[2,2,0],[2,0],[0]]=>2 [[2,2,0,0],[2,2,0],[2,0],[1]]=>3 [[2,2,0,0],[2,2,0],[2,0],[2]]=>2 [[2,2,0,0],[2,2,0],[2,1],[1]]=>3 [[2,2,0,0],[2,2,0],[2,1],[2]]=>3 [[2,2,0,0],[2,2,0],[2,2],[2]]=>2 [[2,1,1,0],[1,1,0],[1,0],[0]]=>3 [[2,1,1,0],[1,1,0],[1,0],[1]]=>3 [[2,1,1,0],[1,1,0],[1,1],[1]]=>3 [[2,1,1,0],[1,1,1],[1,1],[1]]=>3 [[2,1,1,0],[2,1,0],[1,0],[0]]=>3 [[2,1,1,0],[2,1,0],[1,0],[1]]=>3 [[2,1,1,0],[2,1,0],[1,1],[1]]=>3 [[2,1,1,0],[2,1,0],[2,0],[0]]=>3 [[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[2,1,1,0],[2,1,0],[2,0],[2]]=>3 [[2,1,1,0],[2,1,0],[2,1],[1]]=>3 [[2,1,1,0],[2,1,0],[2,1],[2]]=>3 [[2,1,1,0],[2,1,1],[1,1],[1]]=>3 [[2,1,1,0],[2,1,1],[2,1],[1]]=>3 [[2,1,1,0],[2,1,1],[2,1],[2]]=>3 [[1,1,1,1],[1,1,1],[1,1],[1]]=>1 [[4,3,2,1],[4,3,2],[4,3],[4]]=>4 [[4,3,2,1],[4,3,2],[4,3],[3]]=>4 [[4,3,2,1],[4,3,2],[4,2],[4]]=>4 [[4,3,2,1],[4,3,2],[4,2],[3]]=>5 [[4,3,2,1],[4,3,2],[3,2],[3]]=>4 [[4,3,2,1],[4,3,2],[4,2],[2]]=>4 [[4,3,2,1],[4,3,2],[3,2],[2]]=>4 [[4,3,2,1],[4,3,1],[4,3],[4]]=>4 [[4,3,2,1],[4,3,1],[4,3],[3]]=>4 [[4,3,2,1],[4,3,1],[4,2],[4]]=>5 [[4,3,2,1],[4,3,1],[4,2],[3]]=>6 [[4,3,2,1],[4,3,1],[3,2],[3]]=>5 [[4,3,2,1],[4,3,1],[4,2],[2]]=>5 [[4,3,2,1],[4,3,1],[3,2],[2]]=>5 [[4,3,2,1],[4,2,1],[4,2],[4]]=>4 [[4,3,2,1],[4,2,1],[4,2],[3]]=>5 [[4,3,2,1],[4,2,1],[3,2],[3]]=>5 [[4,3,2,1],[3,2,1],[3,2],[3]]=>4 [[4,3,2,1],[4,2,1],[4,2],[2]]=>4 [[4,3,2,1],[4,2,1],[3,2],[2]]=>5 [[4,3,2,1],[3,2,1],[3,2],[2]]=>4 [[4,3,2,1],[4,3,1],[4,1],[4]]=>4 [[4,3,2,1],[4,3,1],[4,1],[3]]=>5 [[4,3,2,1],[4,3,1],[3,1],[3]]=>4 [[4,3,2,1],[4,3,1],[4,1],[2]]=>5 [[4,3,2,1],[4,3,1],[3,1],[2]]=>5 [[4,3,2,1],[4,2,1],[4,1],[4]]=>4 [[4,3,2,1],[4,2,1],[4,1],[3]]=>5 [[4,3,2,1],[4,2,1],[3,1],[3]]=>5 [[4,3,2,1],[3,2,1],[3,1],[3]]=>4 [[4,3,2,1],[4,2,1],[4,1],[2]]=>5 [[4,3,2,1],[4,2,1],[3,1],[2]]=>6 [[4,3,2,1],[3,2,1],[3,1],[2]]=>5 [[4,3,2,1],[4,2,1],[2,1],[2]]=>4 [[4,3,2,1],[3,2,1],[2,1],[2]]=>4 [[4,3,2,1],[4,3,1],[4,1],[1]]=>4 [[4,3,2,1],[4,3,1],[3,1],[1]]=>4 [[4,3,2,1],[4,2,1],[4,1],[1]]=>4 [[4,3,2,1],[4,2,1],[3,1],[1]]=>5 [[4,3,2,1],[3,2,1],[3,1],[1]]=>4 [[4,3,2,1],[4,2,1],[2,1],[1]]=>4 [[4,3,2,1],[3,2,1],[2,1],[1]]=>4 [[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2 [[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>2 [[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>2 [[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>2 [[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>2 [[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2 [[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3 [[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>3 [[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>3 [[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>3 [[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>2 [[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>3 [[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>3 [[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>3 [[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>2 [[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>3 [[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>3 [[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>2 [[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>3 [[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>2 [[1,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>2 [[1,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>2 [[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>2 [[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>2 [[1,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>2 [[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>2 [[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>2 [[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>2 [[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>2 [[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>2 [[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2 [[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3 [[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>3 [[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>3 [[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>3 [[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>3 [[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>4 [[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>4 [[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>4 [[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>3 [[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>4 [[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>4 [[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>3 [[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>4 [[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>3 [[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>3 [[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>4 [[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>4 [[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>3 [[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>3 [[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>4 [[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>3 [[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>3 [[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>3 [[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>2 [[2,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3 [[2,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>3 [[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>3 [[2,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>3 [[2,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>3 [[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>3 [[2,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>3 [[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>3 [[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>3 [[2,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>3 [[2,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>3 [[2,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>4 [[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>4 [[2,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>4 [[2,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>3 [[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>4 [[2,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>4 [[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>3 [[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>4 [[2,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>3 [[2,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]=>3 [[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]=>3 [[2,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]=>3 [[2,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]=>4 [[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]=>4 [[2,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]=>3 [[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]=>3 [[2,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]=>3 [[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]=>4 [[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]=>3 [[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]=>3 [[2,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]=>3 [[1,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>2 [[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>2 [[1,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>2 [[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>2 [[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>2 [[1,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>2 [[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]=>2 [[1,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]=>2 [[1,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]=>2 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]]=>3 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]]=>4 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]]=>4 [[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]]=>4 [[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>3 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]]=>4 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]]=>5 [[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]]=>5 [[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>4 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]]=>4 [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]]=>5 [[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>4 [[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]]=>4 [[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>4 [[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>3 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]]=>4 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[1]]=>5 [[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]]=>5 [[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>4 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[1]]=>5 [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>6 [[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>5 [[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]]=>5 [[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>5 [[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>4 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[1]]=>4 [[5,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]]=>5 [[5,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>4 [[5,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]]=>5 [[5,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>5 [[5,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>4 [[5,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]]=>4 [[5,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>4 [[5,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>4 [[5,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>3 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]]=>3 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[0]]=>4 [[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]]=>4 [[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]=>3 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[0]]=>4 [[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]]=>5 [[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]=>4 [[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]]=>4 [[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]=>4 [[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>3 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]]=>4 [[5,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]]=>5 [[5,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]=>4 [[5,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]]=>5 [[5,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]=>5 [[5,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>4 [[5,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]]=>4 [[5,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]=>4 [[5,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>4 [[5,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>3 [[5,0,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]]=>4 [[5,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]]=>4 [[5,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]=>4 [[5,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]]=>4 [[5,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]=>4 [[5,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>4 [[5,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]]=>3 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[3]]=>4 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[3]]=>4 [[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[3]]=>4 [[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>4 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[2]]=>5 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[2]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[2]]=>5 [[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[2]]=>5 [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,1],[2]]=>5 [[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>5 [[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]=>4 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[2]]=>5 [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[2]]=>5 [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[2]]=>5 [[4,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>5 [[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]=>4 [[4,1,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]]=>4 [[4,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[2]]=>5 [[4,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>5 [[4,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]=>4 [[4,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>4 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,1],[1]]=>4 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[1]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[1]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,1],[1]]=>5 [[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[1]]=>5 [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,1],[1]]=>5 [[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>5 [[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]=>4 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[2,0],[1]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[1]]=>6 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[1,1],[1]]=>4 [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>6 [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>6 [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>6 [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>5 [[4,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>6 [[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]=>5 [[4,1,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]=>4 [[4,1,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]]=>5 [[4,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[1]]=>6 [[4,1,0,0,0],[3,1,0,0],[1,1,0],[1,1],[1]]=>4 [[4,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>6 [[4,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]=>5 [[4,1,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]=>4 [[4,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>5 [[4,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>3 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[1,0],[1]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[1,0],[1]]=>4 [[4,1,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,0,0],[1,0],[1]]=>5 [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,0],[1]]=>5 [[4,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>5 [[4,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]=>4 [[4,1,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]]=>5 [[4,1,0,0,0],[3,1,0,0],[2,0,0],[1,0],[1]]=>6 [[4,1,0,0,0],[3,1,0,0],[1,1,0],[1,0],[1]]=>4 [[4,1,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>6 [[4,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]=>5 [[4,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]=>4 [[4,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>5 [[4,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>3 [[4,1,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]]=>4 [[4,1,0,0,0],[3,1,0,0],[1,0,0],[1,0],[1]]=>4 [[4,1,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>5 [[4,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]=>4 [[4,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>5 [[4,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>3 [[4,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>3 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]]=>3 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[3,0],[0]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[3,0],[0]]=>4 [[4,1,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,0,0],[3,0],[0]]=>4 [[4,1,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]=>4 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[2,0],[0]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[2,0],[0]]=>5 [[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[0]]=>5 [[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[0]]=>5 [[4,1,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]=>5 [[4,1,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]=>4 [[4,1,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]]=>4 [[4,1,0,0,0],[3,1,0,0],[2,0,0],[2,0],[0]]=>5 [[4,1,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]=>5 [[4,1,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]=>4 [[4,1,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>4 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,1,0],[1,0],[0]]=>4 [[4,1,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]]=>5 [[4,1,0,0,0],[3,1,0,0],[3,0,0],[1,0],[0]]=>5 [[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,0],[0]]=>5 [[4,1,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]=>5 [[4,1,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]=>4 [[4,1,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]]=>5 [[4,1,0,0,0],[3,1,0,0],[2,0,0],[1,0],[0]]=>6 [[4,1,0,0,0],[3,1,0,0],[1,1,0],[1,0],[0]]=>4 [[4,1,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]=>6 [[4,1,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]=>5 [[4,1,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]=>4 [[4,1,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>5 [[4,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>3 [[4,1,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]]=>4 [[4,1,0,0,0],[3,1,0,0],[1,0,0],[1,0],[0]]=>4 [[4,1,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]=>5 [[4,1,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]=>4 [[4,1,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>5 [[4,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>3 [[4,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>3 [[4,1,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]]=>3 [[4,1,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[3,1,0,0],[3,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[3,1,0,0],[2,0,0],[0,0],[0]]=>5 [[4,1,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]=>5 [[4,1,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[3,1,0,0],[1,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]=>5 [[4,1,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>5 [[4,1,0,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>3 [[4,1,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>3 [[4,1,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]]=>3 [[4,1,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,1],[3]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[3]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[3]]=>4 [[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>3 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,1],[2]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,2],[2]]=>3 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[2]]=>5 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,1],[2]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,1],[2]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[2]]=>5 [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,1],[2]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,1],[2]]=>4 [[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>4 [[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,0],[2]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[2]]=>3 [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[2]]=>5 [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[2]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[2]]=>4 [[3,2,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>4 [[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]=>4 [[3,2,0,0,0],[3,1,0,0],[2,0,0],[2,0],[2]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,0,0],[2,0],[2]]=>3 [[3,2,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>4 [[3,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]=>4 [[3,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>3 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,1],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[1]]=>5 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,1],[1]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,1],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[1]]=>5 [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,1],[1]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,1],[1]]=>4 [[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>4 [[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,0],[1]]=>6 [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[1,1],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>6 [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>6 [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>5 [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>4 [[3,2,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>5 [[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]=>5 [[3,2,0,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[2,0,0],[2,0],[1]]=>6 [[3,2,0,0,0],[2,2,0,0],[2,0,0],[2,0],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[1,1,0],[1,1],[1]]=>4 [[3,2,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>5 [[3,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]=>5 [[3,2,0,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]=>4 [[3,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,0,0],[1,0],[1]]=>5 [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,0],[1]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>4 [[3,2,0,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[2,0,0],[1,0],[1]]=>6 [[3,2,0,0,0],[2,2,0,0],[2,0,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[1,1,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>5 [[3,2,0,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]=>5 [[3,2,0,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]=>4 [[3,2,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[1,0,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>4 [[3,2,0,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]=>4 [[3,2,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[3,0],[0]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,0,0],[3,0],[0]]=>4 [[3,2,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]=>3 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[2,0],[0]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,2,0],[2,0],[0]]=>3 [[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[0]]=>5 [[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[0]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[0]]=>4 [[3,2,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]=>4 [[3,2,0,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]=>4 [[3,2,0,0,0],[3,1,0,0],[2,0,0],[2,0],[0]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,0,0],[2,0],[0]]=>3 [[3,2,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]=>4 [[3,2,0,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]=>4 [[3,2,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>3 [[3,2,0,0,0],[3,1,0,0],[3,1,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,0,0],[1,0],[0]]=>5 [[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,0],[0]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]=>4 [[3,2,0,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,1,0,0],[2,0,0],[1,0],[0]]=>6 [[3,2,0,0,0],[2,2,0,0],[2,0,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,1,0,0],[1,1,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]=>5 [[3,2,0,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]=>5 [[3,2,0,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]=>4 [[3,2,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,1,0,0],[1,0,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]=>4 [[3,2,0,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]=>4 [[3,2,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,1,0,0],[3,0,0],[0,0],[0]]=>4 [[3,2,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]=>3 [[3,2,0,0,0],[3,1,0,0],[2,0,0],[0,0],[0]]=>5 [[3,2,0,0,0],[2,2,0,0],[2,0,0],[0,0],[0]]=>3 [[3,2,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]=>4 [[3,2,0,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]=>4 [[3,2,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>3 [[3,2,0,0,0],[3,1,0,0],[1,0,0],[0,0],[0]]=>4 [[3,2,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]=>4 [[3,2,0,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]=>4 [[3,2,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>4 [[3,2,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]=>3 [[3,2,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,1],[3]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[3]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[3]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,1],[2]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[2]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,1],[2]]=>4 [[3,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[2]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[2]]=>4 [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,1],[2]]=>4 [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[2]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,0],[2]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[2]]=>4 [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[2]]=>4 [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[2]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]=>4 [[3,1,1,0,0],[3,1,0,0],[2,0,0],[2,0],[2]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,1],[1]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[1]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,1],[1]]=>4 [[3,1,1,0,0],[2,1,1,0],[2,1,1],[2,1],[1]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[1]]=>4 [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,1],[1]]=>4 [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,1],[1]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,0],[1]]=>5 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[1,1],[1]]=>3 [[3,1,1,0,0],[2,1,1,0],[2,1,1],[1,1],[1]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>5 [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>5 [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>5 [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>4 [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>4 [[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]=>5 [[3,1,1,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]=>4 [[3,1,1,0,0],[1,1,1,0],[1,1,1],[1,1],[1]]=>3 [[3,1,1,0,0],[3,1,0,0],[2,0,0],[2,0],[1]]=>5 [[3,1,1,0,0],[3,1,0,0],[1,1,0],[1,1],[1]]=>3 [[3,1,1,0,0],[2,1,1,0],[1,1,0],[1,1],[1]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]=>5 [[3,1,1,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]=>4 [[3,1,1,0,0],[1,1,1,0],[1,1,0],[1,1],[1]]=>3 [[3,1,1,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[1,0],[1]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,0,0],[1,0],[1]]=>4 [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,0],[1]]=>4 [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,0],[1]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]=>4 [[3,1,1,0,0],[3,1,0,0],[2,0,0],[1,0],[1]]=>5 [[3,1,1,0,0],[3,1,0,0],[1,1,0],[1,0],[1]]=>3 [[3,1,1,0,0],[2,1,1,0],[1,1,0],[1,0],[1]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]=>5 [[3,1,1,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]=>4 [[3,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[1]]=>3 [[3,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>3 [[3,1,1,0,0],[3,1,0,0],[1,0,0],[1,0],[1]]=>3 [[3,1,1,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]=>4 [[3,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[3,0],[0]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,0,0],[3,0],[0]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[2,0],[0]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[0]]=>4 [[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[0]]=>4 [[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[0]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]=>4 [[3,1,1,0,0],[3,1,0,0],[2,0,0],[2,0],[0]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]=>4 [[3,1,1,0,0],[3,1,0,0],[3,1,0],[1,0],[0]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,0,0],[1,0],[0]]=>4 [[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,0],[0]]=>4 [[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,0],[0]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]=>4 [[3,1,1,0,0],[3,1,0,0],[2,0,0],[1,0],[0]]=>5 [[3,1,1,0,0],[3,1,0,0],[1,1,0],[1,0],[0]]=>3 [[3,1,1,0,0],[2,1,1,0],[1,1,0],[1,0],[0]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]=>5 [[3,1,1,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]=>4 [[3,1,1,0,0],[1,1,1,0],[1,1,0],[1,0],[0]]=>3 [[3,1,1,0,0],[1,1,0,0],[1,1,0],[1,0],[0]]=>3 [[3,1,1,0,0],[3,1,0,0],[1,0,0],[1,0],[0]]=>3 [[3,1,1,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]=>4 [[3,1,1,0,0],[1,1,0,0],[1,0,0],[1,0],[0]]=>3 [[3,1,1,0,0],[3,1,0,0],[3,0,0],[0,0],[0]]=>3 [[3,1,1,0,0],[3,1,0,0],[2,0,0],[0,0],[0]]=>4 [[3,1,1,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]=>4 [[3,1,1,0,0],[3,1,0,0],[1,0,0],[0,0],[0]]=>3 [[3,1,1,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]=>4 [[3,1,1,0,0],[1,1,0,0],[1,0,0],[0,0],[0]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,2],[2]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,1],[2]]=>4 [[2,2,1,0,0],[2,1,1,0],[2,1,1],[2,1],[2]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,1],[2]]=>4 [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,1],[2]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,1],[2]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,0],[2]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[2]]=>4 [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[2]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,0],[2]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,0,0],[2,0],[2]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,0,0],[2,0],[2]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,1],[1]]=>4 [[2,2,1,0,0],[2,1,1,0],[2,1,1],[2,1],[1]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,1],[1]]=>4 [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,1],[1]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,1],[1]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,0],[1]]=>4 [[2,2,1,0,0],[2,1,1,0],[2,1,1],[1,1],[1]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>5 [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>4 [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>3 [[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,0],[1]]=>4 [[2,2,1,0,0],[2,1,0,0],[2,1,0],[1,1],[1]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,0,0],[2,0],[1]]=>4 [[2,2,1,0,0],[2,1,1,0],[1,1,0],[1,1],[1]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,0,0],[2,0],[1]]=>4 [[2,2,1,0,0],[2,1,0,0],[1,1,0],[1,1],[1]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,0],[1]]=>4 [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,0],[1]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,1,0],[1,0],[1]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,0,0],[1,0],[1]]=>4 [[2,2,1,0,0],[2,1,1,0],[1,1,0],[1,0],[1]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,0,0],[1,0],[1]]=>4 [[2,2,1,0,0],[2,1,0,0],[1,1,0],[1,0],[1]]=>3 [[2,2,1,0,0],[2,1,0,0],[1,0,0],[1,0],[1]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,2,0],[2,0],[0]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[0]]=>4 [[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[0]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,1,0],[2,0],[0]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,0,0],[2,0],[0]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,0,0],[2,0],[0]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,0],[0]]=>4 [[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,0],[0]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,1,0],[1,0],[0]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,0,0],[1,0],[0]]=>4 [[2,2,1,0,0],[2,1,1,0],[1,1,0],[1,0],[0]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,0,0],[1,0],[0]]=>4 [[2,2,1,0,0],[2,1,0,0],[1,1,0],[1,0],[0]]=>3 [[2,2,1,0,0],[2,1,0,0],[1,0,0],[1,0],[0]]=>3 [[2,2,1,0,0],[2,2,0,0],[2,0,0],[0,0],[0]]=>3 [[2,2,1,0,0],[2,1,0,0],[2,0,0],[0,0],[0]]=>3 [[2,2,1,0,0],[2,1,0,0],[1,0,0],[0,0],[0]]=>3 [[2,1,1,1,0],[2,1,1,0],[2,1,1],[2,1],[2]]=>3 [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,1],[2]]=>3 [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[2]]=>3 [[2,1,1,1,0],[2,1,1,0],[2,1,1],[2,1],[1]]=>3 [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,1],[1]]=>3 [[2,1,1,1,0],[2,1,1,0],[2,1,1],[1,1],[1]]=>3 [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>3 [[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,0],[1,1,1,0],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,0],[2,1,1,0],[1,1,0],[1,1],[1]]=>3 [[2,1,1,1,0],[1,1,1,0],[1,1,0],[1,1],[1]]=>3 [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,0],[1]]=>3 [[2,1,1,1,0],[2,1,1,0],[1,1,0],[1,0],[1]]=>3 [[2,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[1]]=>3 [[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[0]]=>3 [[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,0],[0]]=>3 [[2,1,1,1,0],[2,1,1,0],[1,1,0],[1,0],[0]]=>3 [[2,1,1,1,0],[1,1,1,0],[1,1,0],[1,0],[0]]=>3 [[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1 [[1,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2 [[1,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2 [[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>2 [[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>2 [[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>2 [[1,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>2 [[2,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2 [[2,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>3 [[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3 [[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>3 [[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>3 [[2,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>3 [[2,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>3 [[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>3 [[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>3 [[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>3 [[2,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>2 [[1,1,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2 [[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>2 [[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>2 [[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>2 [[1,1,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>2 [[1,1,0,0,0,0],[1,1,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>2 [[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,0,0],[1,0],[1]]=>2 [[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,0],[1]]=>2 [[1,1,0,0,0,0],[1,1,0,0,0],[1,1,0,0],[1,1,0],[1,1],[1]]=>2 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>7 [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>6 [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>7 [[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>7 [[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>7 [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>5 [[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>6 [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>7 [[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>6 [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>7 [[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>7 [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>5 [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>5 [[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>6 [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>5 [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>6 [[4,1,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>6 [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>5 [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>6 [[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>6 [[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>6 [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>4 [[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>5 [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>5 [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>6 [[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>6 [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>4 [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>4 [[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>5 [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>5 [[3,2,1,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>5 [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>5 [[3,2,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>6 [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>5 [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>6 [[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>6 [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>5 [[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>6 [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>7 [[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>4 [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>4 [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>4 [[3,1,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>5 [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>4 [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>4 [[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>5 [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>4 [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>5 [[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>5 [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>3 [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>3 [[2,2,2,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>4 [[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>5 [[2,2,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>3 [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>3 [[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>3 [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>3 [[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>4 [[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>5 [[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>3 [[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1 [[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>7 [[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>7 [[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>6 [[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>7 [[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>5 [[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>5 [[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>6 [[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>5 [[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>4 [[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>4 [[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>5 [[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>3 [[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>5 [[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1 [[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>8 [[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>8 [[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>7 [[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>8 [[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>6 [[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>6 [[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>7 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>5 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>6 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>7 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>6 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>7 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>7 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>8 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>8 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>7 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>8 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>8 [[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>6 [[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>7 [[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>5 [[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>5 [[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>6 [[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>8 [[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>5 [[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>4 [[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>8 [[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>4 [[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>4 [[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>5 [[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>3 [[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>5 [[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1 [[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>7 [[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>6 [[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>8 [[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>8 [[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>8 [[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>5 [[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>7 [[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>5 [[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1 [[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>9 [[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>9 [[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>8 [[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>7 [[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>7 [[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>7 [[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>8 [[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>6 [[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>6 [[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>7 [[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>7 [[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>6 [[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>5 [[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>5 [[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>5 [[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>4 [[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>5 [[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>7 [[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>4 [[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>4 [[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>4 [[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>3 [[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>6 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>7 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>7 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>8 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>8 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>7 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>8 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>8 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>8 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>7 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>8 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>8 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>8 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>8 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[10,0,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[9,1,0,0,0,0,0,0,0,0],[9,0,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[8,2,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[8,1,1,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[8,0,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[7,3,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[7,2,1,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[7,1,1,1,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[7,0,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[6,3,1,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[6,2,2,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[6,2,1,1,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[6,1,1,1,1,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[6,1,1,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[5,4,1,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[5,3,2,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[5,3,1,1,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[5,2,2,1,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[5,2,1,1,1,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[5,2,1,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[5,1,1,1,1,1,0,0,0,0],[5,1,1,1,1,0,0,0,0],[5,1,1,1,0,0,0,0],[5,1,1,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>7 [[4,4,2,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[4,4,1,1,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[4,3,3,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[4,3,2,1,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[4,3,1,1,1,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[4,2,2,2,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[4,2,2,1,1,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>9 [[4,2,1,1,1,1,0,0,0,0],[4,2,1,1,1,0,0,0,0],[4,2,1,1,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>8 [[4,1,1,1,1,1,1,0,0,0],[4,1,1,1,1,1,0,0,0],[4,1,1,1,1,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>6 [[3,3,3,1,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[3,3,2,2,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[3,3,2,1,1,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[3,3,1,1,1,1,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[3,2,2,2,1,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[3,2,2,1,1,1,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>8 [[3,2,1,1,1,1,1,0,0,0],[3,2,1,1,1,1,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>7 [[3,1,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,1,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>5 [[2,2,2,2,2,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>7 [[2,2,2,2,1,1,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>7 [[2,2,2,1,1,1,1,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>6 [[2,2,1,1,1,1,1,1,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>5 [[2,1,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[2,1,1,1,0],[2,1,1,0],[2,1,0],[2,0],[1]]=>4 [[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>1 [[9,1,0,0,0,0,0,0,0,0],[8,1,0,0,0,0,0,0,0],[7,1,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>10 [[8,2,0,0,0,0,0,0,0,0],[7,2,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>10 [[8,1,1,0,0,0,0,0,0,0],[7,1,1,0,0,0,0,0,0],[6,1,1,0,0,0,0,0],[5,1,1,0,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>9 [[7,3,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>10 [[7,2,1,0,0,0,0,0,0,0],[6,2,1,0,0,0,0,0,0],[5,2,1,0,0,0,0,0],[4,2,1,0,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>8 [[7,1,1,1,0,0,0,0,0,0],[6,1,1,1,0,0,0,0,0],[5,1,1,1,0,0,0,0],[4,1,1,1,0,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>8 [[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[6,3,1,0,0,0,0,0,0,0],[5,3,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>8 [[6,2,2,0,0,0,0,0,0,0],[5,2,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>9 [[6,2,1,1,0,0,0,0,0,0],[5,2,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>7 [[6,1,1,1,1,0,0,0,0,0],[5,1,1,1,1,0,0,0,0],[4,1,1,1,1,0,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>7 [[5,4,1,0,0,0,0,0,0,0],[4,4,1,0,0,0,0,0,0],[4,3,1,0,0,0,0,0],[4,2,1,0,0,0,0],[4,1,1,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>8 [[5,3,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,2,2,0,0,0,0],[3,2,1,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>8 [[5,3,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,2,1,1,0,0,0],[3,1,1,1,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>7 [[5,2,2,1,0,0,0,0,0,0],[4,2,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>6 [[5,2,1,1,1,0,0,0,0,0],[4,2,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>6 [[5,1,1,1,1,1,0,0,0,0],[4,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>6 [[4,4,2,0,0,0,0,0,0,0],[4,3,2,0,0,0,0,0,0],[4,2,2,0,0,0,0,0],[4,2,1,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>8 [[4,4,1,1,0,0,0,0,0,0],[4,3,1,1,0,0,0,0,0],[4,2,1,1,0,0,0,0],[4,1,1,1,0,0,0],[4,1,1,0,0,0],[3,1,1,0,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>7 [[4,3,3,0,0,0,0,0,0,0],[3,3,3,0,0,0,0,0,0],[3,3,2,0,0,0,0,0],[3,3,1,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[4,3,2,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,1,1,0,0,0],[3,2,1,0,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>5 [[4,3,1,1,1,0,0,0,0,0],[3,3,1,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,1,1,1,1,0,0],[3,1,1,1,0,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>6 [[4,2,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[2,2,2,2,0,0,0,0],[2,2,2,1,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>8 [[4,2,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>5 [[4,2,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>5 [[4,1,1,1,1,1,1,0,0,0],[3,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>5 [[3,3,3,1,0,0,0,0,0,0],[3,3,2,1,0,0,0,0,0],[3,3,1,1,0,0,0,0],[3,3,1,0,0,0,0],[3,2,1,0,0,0],[3,1,1,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>6 [[3,3,2,2,0,0,0,0,0,0],[3,2,2,2,0,0,0,0,0],[3,2,2,1,0,0,0,0],[3,2,2,0,0,0,0],[2,2,2,0,0,0],[2,2,1,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>7 [[3,3,2,1,1,0,0,0,0,0],[3,2,2,1,1,0,0,0,0],[3,2,1,1,1,0,0,0],[3,2,1,1,0,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>4 [[3,3,1,1,1,1,0,0,0,0],[3,2,1,1,1,1,0,0,0],[3,1,1,1,1,1,0,0],[3,1,1,1,1,0,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>5 [[3,2,2,2,1,0,0,0,0,0],[2,2,2,2,1,0,0,0,0],[2,2,2,1,1,0,0,0],[2,2,2,1,0,0,0],[2,2,1,1,0,0],[2,2,1,0,0],[2,1,1,0],[2,1,0],[1,1],[1]]=>4 [[3,2,2,1,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,1,1,1,1,0,0],[2,2,1,1,1,0,0],[2,1,1,1,1,0],[2,1,1,1,0],[1,1,1,1],[1,1,1],[1,1],[1]]=>4 [[3,2,1,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,0],[2,1,1,1,1,1,0],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>4 [[3,1,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>4 [[2,2,2,2,1,1,0,0,0,0],[2,2,2,1,1,1,0,0,0],[2,2,2,1,1,0,0,0],[2,2,1,1,1,0,0],[2,2,1,1,0,0],[2,1,1,1,0],[2,1,1,0],[1,1,1],[1,1],[1]]=>3 [[2,2,2,1,1,1,1,0,0,0],[2,2,1,1,1,1,1,0,0],[2,2,1,1,1,1,0,0],[2,1,1,1,1,1,0],[2,1,1,1,1,0],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,2,1,1,1,1,1,1,0,0],[2,1,1,1,1,1,1,1,0],[2,1,1,1,1,1,1,0],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,1,1,1,1,1,0],[1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1],[1,1],[1]]=>3 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>7 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>8 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>8 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>8 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>8 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[1,1],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>8 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[2,2,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[2,1,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>9 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[3,3,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[3,2,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[3,1,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>10 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[4,4,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[4,3,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[4,2,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[4,1,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[5,5,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>11 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[5,4,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[5,3,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[5,2,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[5,1,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[6,6,0,0,0,0,0,0,0,0,0,0],[6,5,0,0,0,0,0,0,0,0,0],[6,4,0,0,0,0,0,0,0,0],[6,3,0,0,0,0,0,0,0],[6,2,0,0,0,0,0,0],[6,1,0,0,0,0,0],[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>12 [[5,0,0,0,0],[5,0,0,0],[0,0,0],[0,0],[0]]=>2 [[5,0,0,0,0],[5,0,0,0],[1,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[1,0,0],[1,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[1,0,0],[1,0],[1]]=>3 [[5,0,0,0,0],[5,0,0,0],[2,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[2,0,0],[1,0],[0]]=>4 [[5,0,0,0,0],[5,0,0,0],[2,0,0],[1,0],[1]]=>4 [[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[1]]=>4 [[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[2]]=>3 [[5,0,0,0,0],[5,0,0,0],[3,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[3,0,0],[1,0],[0]]=>4 [[5,0,0,0,0],[5,0,0,0],[3,0,0],[1,0],[1]]=>4 [[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[0]]=>4 [[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[1]]=>5 [[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[2]]=>4 [[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[1]]=>4 [[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[2]]=>4 [[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[3]]=>3 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[0,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[1,0],[0]]=>4 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[1,0],[1]]=>4 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[0]]=>4 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[1]]=>5 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[2]]=>4 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[0]]=>4 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[1]]=>5 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[2]]=>5 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[3]]=>4 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[1]]=>4 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[2]]=>4 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[3]]=>4 [[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[4]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[0,0],[0]]=>2 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[1,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[1,0],[1]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[1]]=>4 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[2]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[1]]=>4 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[2]]=>4 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[3]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[0]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[1]]=>4 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[2]]=>4 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[3]]=>4 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[4]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[0]]=>2 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[1]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[2]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[3]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[4]]=>3 [[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[5]]=>2 [[4,1,0,0,0],[4,1,0,0],[1,0,0],[0,0],[0]]=>3 [[4,1,0,0,0],[4,1,0,0],[1,0,0],[1,0],[0]]=>3 [[4,1,0,0,0],[4,1,0,0],[1,0,0],[1,0],[1]]=>3 [[4,1,0,0,0],[4,1,0,0],[1,1,0],[1,0],[0]]=>3 [[4,1,0,0,0],[4,1,0,0],[1,1,0],[1,0],[1]]=>3 [[4,1,0,0,0],[4,1,0,0],[1,1,0],[1,1],[1]]=>3 [[4,1,0,0,0],[4,1,0,0],[2,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[2,0,0],[1,0],[0]]=>5 [[4,1,0,0,0],[4,1,0,0],[2,0,0],[1,0],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[2,0,0],[2,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[2,0,0],[2,0],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[2,0,0],[2,0],[2]]=>4 [[4,1,0,0,0],[4,1,0,0],[2,1,0],[1,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[2,1,0],[1,0],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[2,1,0],[1,1],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[2,1,0],[2,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[2,1,0],[2,0],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[2,1,0],[2,0],[2]]=>4 [[4,1,0,0,0],[4,1,0,0],[2,1,0],[2,1],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[2,1,0],[2,1],[2]]=>4 [[4,1,0,0,0],[4,1,0,0],[3,0,0],[0,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[3,0,0],[1,0],[0]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,0,0],[1,0],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,0,0],[2,0],[0]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,0,0],[2,0],[1]]=>6 [[4,1,0,0,0],[4,1,0,0],[3,0,0],[2,0],[2]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,0,0],[3,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[3,0,0],[3,0],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,0,0],[3,0],[2]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,0,0],[3,0],[3]]=>4 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[1,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[1,0],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[1,1],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[2,0],[0]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[2,0],[1]]=>6 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[2,0],[2]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[2,1],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[2,1],[2]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,0],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,0],[2]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,0],[3]]=>4 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,1],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,1],[2]]=>5 [[4,1,0,0,0],[4,1,0,0],[3,1,0],[3,1],[3]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[0,0],[0]]=>3 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[1,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[1,0],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[2,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[2,0],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[2,0],[2]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[3,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[3,0],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[3,0],[2]]=>5 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[3,0],[3]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[4,0],[0]]=>3 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[4,0],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[4,0],[2]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[4,0],[3]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,0,0],[4,0],[4]]=>3 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[1,0],[0]]=>3 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[1,0],[1]]=>3 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[1,1],[1]]=>3 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[2,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[2,0],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[2,0],[2]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[2,1],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[2,1],[2]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,0],[0]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,0],[1]]=>5 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,0],[2]]=>5 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,0],[3]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,1],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,1],[2]]=>5 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[3,1],[3]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,0],[0]]=>3 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,0],[1]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,0],[2]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,0],[3]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,0],[4]]=>3 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,1],[1]]=>3 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,1],[2]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,1],[3]]=>4 [[4,1,0,0,0],[4,1,0,0],[4,1,0],[4,1],[4]]=>3 [[3,2,0,0,0],[3,2,0,0],[2,0,0],[0,0],[0]]=>3 [[3,2,0,0,0],[3,2,0,0],[2,0,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,0,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,0,0],[2,0],[0]]=>3 [[3,2,0,0,0],[3,2,0,0],[2,0,0],[2,0],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,0,0],[2,0],[2]]=>3 [[3,2,0,0,0],[3,2,0,0],[2,1,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,1,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,1,0],[1,1],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,1,0],[2,0],[0]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,1,0],[2,0],[1]]=>5 [[3,2,0,0,0],[3,2,0,0],[2,1,0],[2,0],[2]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,1,0],[2,1],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,1,0],[2,1],[2]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,0],[0]]=>3 [[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,0],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,0],[2]]=>3 [[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,1],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,1],[2]]=>4 [[3,2,0,0,0],[3,2,0,0],[2,2,0],[2,2],[2]]=>3 [[3,2,0,0,0],[3,2,0,0],[3,0,0],[0,0],[0]]=>3 [[3,2,0,0,0],[3,2,0,0],[3,0,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,0,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,0,0],[2,0],[0]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,0,0],[2,0],[1]]=>5 [[3,2,0,0,0],[3,2,0,0],[3,0,0],[2,0],[2]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,0,0],[3,0],[0]]=>3 [[3,2,0,0,0],[3,2,0,0],[3,0,0],[3,0],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,0,0],[3,0],[2]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,0,0],[3,0],[3]]=>3 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[1,0],[0]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[1,0],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[1,1],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[2,0],[0]]=>5 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[2,0],[1]]=>6 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[2,0],[2]]=>5 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[2,1],[1]]=>5 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[2,1],[2]]=>5 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,0],[0]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,0],[1]]=>5 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,0],[2]]=>5 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,0],[3]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,1],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,1],[2]]=>5 [[3,2,0,0,0],[3,2,0,0],[3,1,0],[3,1],[3]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,0],[0]]=>3 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,0],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,0],[2]]=>3 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,1],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,1],[2]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[2,2],[2]]=>3 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,0],[0]]=>3 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,0],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,0],[2]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,0],[3]]=>3 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,1],[1]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,1],[2]]=>5 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,1],[3]]=>4 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,2],[2]]=>3 [[3,2,0,0,0],[3,2,0,0],[3,2,0],[3,2],[3]]=>3 [[3,1,1,0,0],[3,1,1,0],[1,1,0],[1,0],[0]]=>3 [[3,1,1,0,0],[3,1,1,0],[1,1,0],[1,0],[1]]=>3 [[3,1,1,0,0],[3,1,1,0],[1,1,0],[1,1],[1]]=>3 [[3,1,1,0,0],[3,1,1,0],[1,1,1],[1,1],[1]]=>3 [[3,1,1,0,0],[3,1,1,0],[2,1,0],[1,0],[0]]=>4 [[3,1,1,0,0],[3,1,1,0],[2,1,0],[1,0],[1]]=>4 [[3,1,1,0,0],[3,1,1,0],[2,1,0],[1,1],[1]]=>4 [[3,1,1,0,0],[3,1,1,0],[2,1,0],[2,0],[0]]=>4 [[3,1,1,0,0],[3,1,1,0],[2,1,0],[2,0],[1]]=>5 [[3,1,1,0,0],[3,1,1,0],[2,1,0],[2,0],[2]]=>4 [[3,1,1,0,0],[3,1,1,0],[2,1,0],[2,1],[1]]=>4 [[3,1,1,0,0],[3,1,1,0],[2,1,0],[2,1],[2]]=>4 [[3,1,1,0,0],[3,1,1,0],[2,1,1],[1,1],[1]]=>4 [[3,1,1,0,0],[3,1,1,0],[2,1,1],[2,1],[1]]=>4 [[3,1,1,0,0],[3,1,1,0],[2,1,1],[2,1],[2]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[1,0],[0]]=>3 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[1,0],[1]]=>3 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[1,1],[1]]=>3 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[2,0],[0]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[2,0],[1]]=>5 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[2,0],[2]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[2,1],[1]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[2,1],[2]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,0],[0]]=>3 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,0],[1]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,0],[2]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,0],[3]]=>3 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,1],[1]]=>3 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,1],[2]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,0],[3,1],[3]]=>3 [[3,1,1,0,0],[3,1,1,0],[3,1,1],[1,1],[1]]=>3 [[3,1,1,0,0],[3,1,1,0],[3,1,1],[2,1],[1]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,1],[2,1],[2]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,1],[3,1],[1]]=>3 [[3,1,1,0,0],[3,1,1,0],[3,1,1],[3,1],[2]]=>4 [[3,1,1,0,0],[3,1,1,0],[3,1,1],[3,1],[3]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,1,0],[1,0],[0]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,1,0],[1,0],[1]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,1,0],[1,1],[1]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,1,0],[2,0],[0]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,1,0],[2,0],[1]]=>4 [[2,2,1,0,0],[2,2,1,0],[2,1,0],[2,0],[2]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,1,0],[2,1],[1]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,1,0],[2,1],[2]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,1,1],[1,1],[1]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,1,1],[2,1],[1]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,1,1],[2,1],[2]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,0],[0]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,0],[1]]=>4 [[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,0],[2]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,1],[1]]=>4 [[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,1],[2]]=>4 [[2,2,1,0,0],[2,2,1,0],[2,2,0],[2,2],[2]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,2,1],[2,1],[1]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,2,1],[2,1],[2]]=>3 [[2,2,1,0,0],[2,2,1,0],[2,2,1],[2,2],[2]]=>3 [[2,1,1,1,0],[2,1,1,1],[1,1,1],[1,1],[1]]=>3 [[2,1,1,1,0],[2,1,1,1],[2,1,1],[1,1],[1]]=>3 [[2,1,1,1,0],[2,1,1,1],[2,1,1],[2,1],[1]]=>3 [[2,1,1,1,0],[2,1,1,1],[2,1,1],[2,1],[2]]=>3 [[6,0,0,0,0,0],[0,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2 [[6,0,0,0,0,0],[1,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>3 [[6,0,0,0,0,0],[1,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>3 [[6,0,0,0,0,0],[2,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[2,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>3 [[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>4 [[6,0,0,0,0,0],[2,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>3 [[6,0,0,0,0,0],[3,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>5 [[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[3,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]=>3 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>4 [[6,0,0,0,0,0],[3,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>3 [[6,0,0,0,0,0],[4,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[4,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]=>6 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>6 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>6 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>6 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>6 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[0]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[1]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]]=>5 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]]=>3 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]]=>4 [[6,0,0,0,0,0],[4,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]]=>3 [[6,0,0,0,0,0],[5,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[5,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[2,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[2]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[3,0],[3]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[3]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[4,0,0,0],[4,0,0],[4,0],[4]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[2,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[2,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[3,0,0],[3,0],[3]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[2,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[0]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[1]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[2]]=>6 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[3,0],[3]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[3]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[4,0,0],[4,0],[4]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[3,0],[3]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[0]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[1]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[2]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[3]]=>5 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[4,0],[4]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[0]]=>3 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[1]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[2]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[3]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[4]]=>4 [[6,0,0,0,0,0],[5,0,0,0,0],[5,0,0,0],[5,0,0],[5,0],[5]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[0,0,0,0],[0,0,0],[0,0],[0]]=>2 [[6,0,0,0,0,0],[6,0,0,0,0],[1,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[1,0,0,0],[1,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[1,0,0,0],[1,0,0],[1,0],[1]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[1]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[2,0,0,0],[2,0,0],[2,0],[2]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[2,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[1]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[2]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[3,0,0,0],[3,0,0],[3,0],[3]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[0,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[1,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[1,0,0],[1,0],[1]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[1]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[2,0,0],[2,0],[2]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[0,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[0]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[1,0],[1]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[0]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[1]]=>6 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[2,0],[2]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[0]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[1]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[2]]=>5 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[3,0,0],[3,0],[3]]=>4 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[4,0,0],[0,0],[0]]=>3 [[6,0,0,0,0,0],[6,0,0,0,0],[4,0,0,0],[4,0,0],[1,0],[0]]=>4