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