[0,0,1,0,1,1,0,1,2,2,0,1,2,1,1,0,1,2,3,2,2,0,1,2, 3,1,3,2,0,1,2,3,4,2,2,3,0,1,2,3,4,1,3,3,1,0,1,2,3, 4,5,2,4,4,2,0,1,2,3,4,5,1,3,2,1,2,0,1,2,3,4,5,6,2, 4,3,2,3]