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