[0,2,2,2,2,3,2,2,2,3,2,4,2,3,3,2,2,3,2,4,3,3,2,4, 2,3,2,4,2,5,2,2,3,3,3,4,2,3,3,5,2,5,2,4,4,3,2,4,2, 3,3,4,2,3,3,5,3,3,2,6,2,3,4,2,3,5,2,4,3,5,2,6,2,3, 3,4,3,5,2,5,2,3,2,7,3,3,3,4,2,7,3,4,3,3,3,4,2,3,4, 4,2,5,2,4,5]