[0,0,1,1,0,1,0,1,1,0,1,1,1,1,1,0,2,1,2,2,3,1,3,1, 3,1,3,1,3,1,3,3,4,1,4,0,4,3,3,1,4,1,4,3,5,2,5,1,5, 2,6,3,6,2,6,4,7,3,6,1,6,5,6,2,7,1,7,6,7,3,8,3,8,5, 8,4,9,2,9,6,9,5,9,2,9,5]