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