The one of the greatest common subword P52289

Some problems are so classic that barely need a statement. For this one, we ask you to compute the longest subword that two given words have in common. In case of a tie, print the smallest one in alphabetical order.

Input

Input consists of several cases, each with two non-empty words $w_1$ and $w_2$ made up of at most 500 lowercase letters.

Output

For every case, print the longest common subword. In case of a tie, print the smallest one in alphabetical order.

Observation

There are very fast algorithms to solve this problem. Here, we settle for one that takes time proportional to $n_1\cdot n_2$, where $n_1$ and $n_2$ are the lengths of $w_1$ and $w_2$.