[2,1,2,2,3,1,1,1,2,2,1,2,3,3,4,3,3,2,3,3,1,3,3,3,4,2,2,2,3,3,2,4,4,4,5,3,3,3,4,4,4,6,6,6,7,5,5,5,6,6,4,6,6,6,7,5,5,5,6,6,4,6,6,6,7,5,5,5,6,6,5,7,7,7,8,7,7,6,7,7,4,5,6,6,7,5,5]