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