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