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