HDU 4763 Theme Section (2013长春网络赛1005,KMP)

本文探讨了音乐节中歌曲加入主题段落的挑战,通过使用KMP算法,解决寻找每首歌中最大可能的主题段落长度的问题。

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Theme Section

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 271    Accepted Submission(s): 121


Problem Description
It's time for music! A lot of popular musicians are invited to join us in the music festival. Each of them will play one of their representative songs. To make the programs more interesting and challenging, the hosts are going to add some constraints to the rhythm of the songs, i.e., each song is required to have a 'theme section'. The theme section shall be played at the beginning, the middle, and the end of each song. More specifically, given a theme section E, the song will be in the format of 'EAEBE', where section A and section B could have arbitrary number of notes. Note that there are 26 types of notes, denoted by lower case letters 'a' - 'z'.

To get well prepared for the festival, the hosts want to know the maximum possible length of the theme section of each song. Can you help us?
 

 

Input
The integer N in the first line denotes the total number of songs in the festival. Each of the following N lines consists of one string, indicating the notes of the i-th (1 <= i <= N) song. The length of the string will not exceed 10^6.
 

 

Output
There will be N lines in the output, where the i-th line denotes the maximum possible length of the theme section of the i-th song.
 

 

Sample Input
5 xy abc aaa aaaaba aaxoaaaaa
 

 

Sample Output
0 0 1 1 2
 

 

Source
 

 

Recommend
liuyiding
 

 

就是要中间找一段最长的和,和开头和结尾一样。

 

KMP就解决了。

有点暴力。

 

先next[n]一直标记下。

然后循环找next,更新答案

 

 1 /* ***********************************************
 2 Author        :kuangbin
 3 Created Time  :2013-9-29 18:18:34
 4 File Name     :E:\2013ACM练习\2013网络赛\2013长春网络赛\1005.cpp
 5 ************************************************ */
 6 
 7 #include <stdio.h>
 8 #include <string.h>
 9 #include <iostream>
10 #include <algorithm>
11 #include <vector>
12 #include <queue>
13 #include <set>
14 #include <map>
15 #include <string>
16 #include <math.h>
17 #include <stdlib.h>
18 #include <time.h>
19 using namespace std;
20 
21 void kmp_pre(char x[],int m,int next[])
22 {
23     int i,j;
24     j = next[0] = -1;
25     i = 0;
26     while(i < m)
27     {
28         while( -1 != j && x[i] != x[j] )j = next[j];
29         next[++i] = ++j;
30     }
31 }
32 char str[1000010];
33 int next[1000010];
34 bool f[1000010];
35 int main()
36 {
37     //freopen("in.txt","r",stdin);
38     //freopen("out.txt","w",stdout);
39     int T;
40     scanf("%d",&T);
41     while(T--)
42     {
43         scanf("%s",str);
44         int n = strlen(str);
45         kmp_pre(str,n,next);
46         memset(f,false,sizeof(f));
47         int tmp = n;
48         while(tmp > 0)
49         {
50             if(n >= 2*tmp)f[tmp] = true;
51             tmp = next[tmp];
52         }
53         int ans = 0;
54         for(int i = n-1;i > 1;i--)
55         {
56             tmp = i;
57             while(tmp > 0)
58             {
59                 if(f[tmp] && i >= 2*tmp && n >= i+tmp)
60                 {
61                     ans = max(ans,tmp);
62                     break;
63                 }
64                 tmp = next[tmp];
65             }
66         }
67         printf("%d\n",ans);
68     }
69     return 0;
70 }

 

 

 

 

 

 

 

 

 

 

 

 

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