[0,0,1,1,1,1,2,1,2,3,2,3,3,3,3,3,3,2,3,2,3,4,5,5, 5,5,6,4,3,5,6,5,4,5,5,6,7,6,7,7,7,7,7,7,7,7,7,6,7, 7,8,9,8,8,10,10,11,10,10,9,9,9,9,9,9,9,8,9,10,11, 11,10,10,10,10,11,10,10,11,10,10,11,11,12,12,11, 12,12,12,13,13]