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