[0,2,2,3,2,3,2,4,3,3,4,4,5,3,4,2,6,3,3,3,6,3,6,5, 4,3,4,8,2,3,4,7,2,6,3,7,6,4,3,9,2,7,5,7,3,6,6,8,4, 6,2,11,3,6,7,3,8,2,7,4,9,3,12,3,5,7,7,4,7,3,9,6,5, 2,12,3,5,6,10,11,5,9,3,6,5,12,2,5,8,12]