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