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