[0,1,2,1,2,3,2,3,4,4,4,2,4,4,6,5,6,7,3,5,5,7,8,6,7,8,9,3,6,6,9,7,10,11,7,9,10,11,12,4,6,8,10,8,12,12,14,8,10,12,13,12,15,16,4,7,9,12,10,14,10,15,16,17,9,12,13,15,14,17,18,19,5,8,10]
