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