[0,1,1,1,2,1,2,2,2,2,3,3,2,2,2,2,3,3,1,2,3,4,4,3, 4,5,4,6,5,5,5,5,5,5,4,5,4,4,2,5,5,3,6,6,3,7,6,6,6, 5,6,6,4,5,5,5,5,6,4,5,8,7,5,9,6,7,8,8,7,6,6,8,5,7, 7,6,5,6,8,8,8,10,6,10,13,10,10,9,6,11,9,7,3,9,6,6, 9,7,5,12]