[1,0,1,0,3,2,1,0,7,6,5,4,3,2,1,0,15,14,13,12,11,
 10,9,8,7,6,5,4,3,2,1,0,31,30,29,28,27,26,25,24,23,
 22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,
 4,3,2,1,0,63,62,61,60,59,58,57,56,55,54,53,52,51,
 50,49,48,47,46]