[0,3,2,2,2,3,4,4,4,5,6,6,6,7,8,8,9,10,11,12,12,12, 13,14,15,16,16,17,18,18,18,19,20,20,21,22,23,24, 24,25,26,27,28,28,28,29,30,31,32,32,33,34,34,34, 35,36,37,38,38,39,40,40,41,42,43,44,44,45,46,47, 48,49,50,50,51]