设有字符集 {a, b, c, d, e, f},其出现频率分别为 {5, 9, 12, 13, 16, 45}。哈夫曼算法构造最优前缀编码,以下哪一组可能是对应的哈夫曼编码?
a:00; b:01; c:10; d:110; e:111; f:0
a:1100; b:1101; c:100; d:101; e:111; f:0
a:000; b:001; c:01; d:10; e:110; f:111
a:10; b:01; c:100; d:101; e:111; f:0