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