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