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