[0,0,0,0,0,2,3,2,4,4,4,4,4,5,3,6,4,7,4,3,6,5,6,4, 7,4,7,3,5,5,5,6,6,6,3,6,3,4,2,2,4,3,4,5,4,3,6,4,2, 4,2,4,3,3,6,4,2,6,8,6,10,4,6,7,4,6,6,8,6,6,2,9,5, 9,10,12,4,10,6,10,6,9,5,11,10,7,10,10,6,9,11,7,8, 8,13,6,5,5,6,9]