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A9630. Gargari and Permutations

编程题 普及/提高-

题目描述

Gargari got bored to play with the bishops and now, after solving the problem about them, he is trying to do math homework. In a math book he have found $k$ permutations. Each of them consists of numbers $1,2,...,n$ in some order. Now he should find the length of the longest common subsequence of these permutations. Can you help Gargari?

You can read about longest common subsequence there: https://en.wikipedia.org/wiki/Longest\_common\_subsequence\_problem

输入格式

The first line contains two integers $n$ and $k$ $(1<=n<=1000; 2<=k<=5)$ . Each of the next $k$ lines contains integers $1,2,...,n$ in some order — description of the current permutation.

输出格式

Print the length of the longest common subsequence.

输入输出样例

输入 #1
4 3
1 4 2 3
4 1 2 3
1 2 4 3
输出 #1
3

说明/提示

The answer for the first test sample is subsequence \[1, 2, 3\].
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