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