AT_abc475_d [ABC475D] Alphametic Prime

Description

You are given a string $ S $ consisting of lowercase English letters. If there exists a prime number $ P $ satisfying the following condition, find one such $ P $ . Condition: Let $ T $ be the string representing $ P $ in decimal notation without an extra leading `0`. Then, $ |S|=|T| $ , and for every $ 1\leq i< j \leq |S| $ , we have $ S_i=S_j $ if and only if $ T_i=T_j $ .

Input Format

The input is given from Standard Input in the following format: > $ S $

Output Format

If there is no prime number satisfying the condition in the problem statement, output `-1`. If one exists, output one such prime number. If there are multiple solutions, any of them will be accepted.

Explanation/Hint

### Sample Explanation 1 Besides this, for example, outputting `40709` would also be accepted. However, for example, `81817` does not satisfy the condition, so it would not be accepted. ### Sample Explanation 2 If there is no prime number satisfying the condition, output `-1`. ### Constraints - $ S $ is a string of length between $ 1 $ and $ 7 $ (inclusive) consisting of lowercase English letters.