1976. Common Subsequence

单点时限: 2.0 sec

内存限制: 256 MB

A subsequence of a given sequence is the given sequence with some elements (possible none) left out. Given a sequence $X = [x_1, x_2, \ldots, x_m ]$ another sequence $Z = [ z_1, z_2, \ldots, z_k ]$ is a subsequence of $X$ if there exists a strictly increasing sequence $[ i_1, i_2, \ldots, i_k ]$ of indices of $X$ such that for all $j = 1,2,\ldots,k, x_{i_j} = z_j$. For example, $Z = [ a, b, f, c ]$ is a subsequence of $X = [ a, b, c, f, b, c ]$ with index sequence $[ 1, 2, 4, 6 ]$. Given two sequences $X$ and $Y$ the problem is to find the length of the maximum-length common subsequence of $X$ and $Y$.

输入格式

The program input is from the std input. Each data set in the input contains two strings representing the given sequences. The sequences are separated by any number of white spaces. The input data are correct.

输出格式

For each set of data the program prints on the standard output the length of the maximum-length common subsequence from the beginning of a separate line.

样例

Input
abcfbc abfcab
programming contest
abcd mnp
Output
4
2
0

19 人解决,30 人已尝试。

34 份提交通过,共有 102 份提交。

5.3 EMB 奖励。

创建: 12 年,3 月前.

修改: 2 年,10 月前.

最后提交: 4 月前.

来源: Southeastern Europe 2003

题目标签
DP