[0,0,0,0,1,1,1,0,1,2,2,2,3,3,3,2,3,2,3,3,4,4,4,3, 4,5,5,6,7,7,7,6,7,7,7,6,7,7,7,6,7,7,7,7,8,9,9,8,9, 9,10,10,11,10,11,10,11,11,11,11,12,12,12,12,13,13, 13,13,14,14,14,13,14,14,14,15,16]