HDU2594-Simpsons’ Hidden Talents

本篇介绍了一个有趣的字符串匹配问题,通过寻找两个字符串之间的最长公共前后缀来揭示角色间的潜在联系。提供了完整的代码实现及解析。

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Simpsons’ Hidden Talents

                                                                          Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
                                                                                                     Total Submission(s): 7377    Accepted Submission(s): 2628

Problem Description
Homer: Marge, I just figured out a way to discover some of the talents we weren’t aware we had.
Marge: Yeah, what is it?
Homer: Take me for example. I want to find out if I have a talent in politics, OK?
Marge: OK.
Homer: So I take some politician’s name, say Clinton, and try to find the length of the longest prefix
in Clinton’s name that is a suffix in my name. That’s how close I am to being a politician like Clinton
Marge: Why on earth choose the longest prefix that is a suffix???
Homer: Well, our talents are deeply hidden within ourselves, Marge.
Marge: So how close are you?
Homer: 0!
Marge: I’m not surprised.
Homer: But you know, you must have some real math talent hidden deep in you.
Marge: How come?
Homer: Riemann and Marjorie gives 3!!!
Marge: Who the heck is Riemann?
Homer: Never mind.
Write a program that, when given strings s1 and s2, finds the longest prefix of s1 that is a suffix of s2.
 
Input
Input consists of two lines. The first line contains s1 and the second line contains s2. You may assume all letters are in lowercase.
 
Output
Output consists of a single line that contains the longest string that is a prefix of s1 and a suffix of s2, followed by the length of that prefix. If the longest such string is the empty string, then the output should be 0.
The lengths of s1 and s2 will be at most 50000.
 
Sample Input
  
clinton homer riemann marjorie
 
Sample Output
  
0 rie 3
 
Source
 
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      题意:问给出两个字符串s1和s2,问s1的前缀和s2的后缀最大匹配的数量

         解题思路:可以把s1,s2连接起来,strcat(s1,s2)函数就是把s2连接到s1的末端连接完之后就是对串s1进行求next数组,接下来就是判断next[k]与len1和len2的关系

#include <iostream>
#include <stdio.h>
#include <queue>
#include <cstring>
#include <stack>

using namespace std;

char s1[500009],s2[500009];
int nt[500009];
int n;

void get_next()
{
    nt[0]=-1;
    for(int i=0; i<n; i++)
    {
        int k=nt[i];
        while(k>=0&&s1[i]!=s1[k])
            k=nt[k];
        nt[i+1]=k+1;
    }
}

int main()
{
    while(~scanf("%s %s",s1,s2))
    {
        int len1=strlen(s1),len2=strlen(s2);
        strcat(s1,s2);//把s2连接到s1的末端
        n=strlen(s1);
        get_next();
        int k=n;
        while(nt[k]>len1||nt[k]>len2)
            k=nt[k];
        if(nt[k]==0)
        {
            printf("0\n");continue;
        }
        for(int i=0;i<nt[k];i++)
            printf("%c",s1[i]);
        printf(" %d\n",nt[k]);
    }
    return 0;
}

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