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