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