[0,0,0,1,1,1,1,1,1,2,1,2,3,2,1,3,1,2,3,2,2,3,2,2, 4,2,2,4,2,3,5,2,3,4,1,4,5,3,3,5,3,4,7,3,3,8,3,4,6, 3,5,7,3,4,6,4,5,8,4,5,11,4,4,10,3,6,8,4,4,6,6,5,9, 5,4,11,3,6,9,4,6,8,4,5,11]