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