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