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