[0,0,0,2,0,2,3,0,2,4,3,2,5,0,2,3,4,6,0,2,7,3,5,2, 4,8,0,2,3,6,9,0,2,4,5,10,3,7,2,11,0,2,3,4,6,8,12, 5,2,13,3,9,2,4,7,14,0,2,3,5,6,10,15,0,2,4,8,16,3, 11,2,17,5,7,2,3,4,6,9,12,18,0,2,19,3,13,2,4,5,8, 10,20,0,2,3,6,7]