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