21142번 - Longest Common Subsequence 다국어

문제

You are given $n$ strings, each a permutation of the first $k$ upper-case letters of the alphabet.

String $s$ is a subsequence of string $t$ if and only if it is possible to delete some (possibly zero) characters from the string $t$ to get the string $s$.

Compute the length of the longest common subsequence of all $n$ strings.

입력

The first line of input contains two integers $n$ (1ドル \le n \le 10^5$) and $k$ (1ドル \le k \le 26$), where $n$ is the number of strings, and the strings are all permutations of the first $k$ upper-case letters of the alphabet.

Each of the next $n$ lines contains a single string $t$. It is guaranteed that every $t$ contains each of the first $k$ upper-case letters of the alphabet exactly once.

출력

Output a single integer, the length of the longest subsequence that appears in all $n$ strings.

제한

힌트