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