[0,0,1,1,2,1,3,3,3,1,4,3,5,3,3,5,6,5,7,5,4,5,8,7, 8,5,8,5,9,7,10,10,6,7,7,9,11,7,6,9,12,9,13,9,11,9, 14,13,14,13,9,10,15,14,11,12,9,11,16,14,17,12,14, 17,12,13,18,13,12,15,19,18,20,15,18,14,16,15,21, 19,21,16]