Lucky Common Subsequence

题意翻译

给定三个字符串 $s,t,g$,求出满足以下条件且最长的字符串 $k$: - $k$ 为 $s,t$ 的公共子序列。 - $g$ 不为 $k$ 的子串。 如果不存在 $k$,则输出 `0`。 如果存在,则输出任意一个解。 $1\le\left|s\right|,\left|t\right|,\left|g\right|\le100$

题目描述

In mathematics, a subsequence is a sequence that can be derived from another sequence by deleting some elements without changing the order of the remaining elements. For example, the sequence BDF is a subsequence of ABCDEF. A substring of a string is a continuous subsequence of the string. For example, BCD is a substring of ABCDEF. You are given two strings $ s_{1} $ , $ s_{2} $ and another string called $ virus $ . Your task is to find the longest common subsequence of $ s_{1} $ and $ s_{2} $ , such that it doesn't contain $ virus $ as a substring.

输入输出格式

输入格式


The input contains three strings in three separate lines: $ s_{1} $ , $ s_{2} $ and $ virus $ ( $ 1<=|s_{1}|,|s_{2}|,|virus|<=100 $ ). Each string consists only of uppercase English letters.

输出格式


Output the longest common subsequence of $ s_{1} $ and $ s_{2} $ without $ virus $ as a substring. If there are multiple answers, any of them will be accepted. If there is no valid common subsequence, output 0.

输入输出样例

输入样例 #1

AJKEQSLOBSROFGZ
OVGURWZLWVLUXTH
OZ

输出样例 #1

ORZ

输入样例 #2

AA
A
A

输出样例 #2

0