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