_____________________________________动态规划之最长子序列问题______1:两个序列中的______________________________________

动态规划之最长自序列问题....两个字符串中的最长子序列问题.

参考例题杭电1159.....参考文件.lcy老师的课件....在此对lcy老师致敬..

最长子序列问题.......

下面附上题目

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Common Subsequence

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 30010    Accepted Submission(s): 13519

Problem Description
A subsequence of a given sequence is the given sequence with some elements (possible none) left out. Given a sequence X = <x1, x2, ..., xm> another sequence Z = <z1, z2, ..., zk> is a subsequence of X if there exists a strictly increasing sequence <i1, i2, ..., ik> of indices of X such that for all j = 1,2,...,k, xij = zj. 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.
The program input is from a text file. Each data set in the file contains two strings representing the given sequences. The sequences are separated by any number of white spaces. The input data are correct. 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. 

Sample Input
abcfbc abfcab
programming contest
abcd mnp

Sample Output
4
2
0
 

题目的意思就是....给你两个字符串序列求出他们的最长自序列..........下面附上lcy老师可见的截图

..以第一个图的公式为基础,推导出下一个图的数字.