[0,1,1,2,1,2,2,2,3,4,3,4,3,3,4,5,4,4,4,4,5,6,5,6, 6,6,7,7,6,7,7,7,7,8,8,9,9,9,9,10,9,10,9,9,10,10,9, 9,10,10,11,12,11,12,13,13,14,14,13,13,12,12,12,13, 13,14,13,13,14,15,14,14,13,13,14,15,15]