[0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,0,2,3,1,2,4,1,2,4, 2,2,3,2,2,4,2,4,4,1,5,5,2,5,7,1,3,7,2,4,8,2,4,3,2, 4]