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