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