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