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