Period HDU - 1358

Posted 啦啦啦

tags:

篇首语:本文由小常识网(cha138.com)小编为大家整理,主要介绍了Period HDU - 1358相关的知识,希望对你有一定的参考价值。

For each prefix of a given string S with N characters (each character has an ASCII code between 97 and 126, inclusive), we want to know whether the prefix is a periodic string. That is, for each i (2 <= i <= N) we want to know the largest K > 1 (if there is one) such that the prefix of S with length i can be written as A K , that is A concatenated K times, for some string A. Of course, we also want to know the period K.
InputThe input file consists of several test cases. Each test case consists of two lines. The first one contains N (2 <= N <= 1 000 000) – the size of the string S. The second line contains the string S. The input file ends with a line, having the number zero on it.
OutputFor each test case, output “Test case #” and the consecutive test case number on a single line; then, for each prefix with length i that has a period K > 1, output the prefix size i and the period K separated by a single space; the prefix sizes must be in increasing order. Print a blank line after each test case.
Sample Input

3
aaa
12
aabaabaabaab
0

Sample Output

Test case #1
2 2
3 3

Test case #2
2 2
6 2
9 3
12 4

活用kmp中记录位置的数组
 1 #include<iostream>
 2 #include<algorithm>
 3 #include<cstdio>
 4 #include<cstring>
 5 using namespace std;
 6 
 7 int n;
 8 int nxt[1000005];
 9 char s[1000005];
10 
11 void getNext(char *s){
12     nxt[0]=-1;
13     int lens=strlen(s);
14     for(int i=0;i<lens;i++){
15         int k=nxt[i];
16         while(k!=-1&&s[i]!=s[k]) k=nxt[k];
17         nxt[i+1]=k+1;
18     }
19 }
20 
21 int main()
22 {   
23     while(~scanf("%d",&n)&&n!=0){
24         scanf("%s",s);
25         getNext(s);
26         static int t=0;printf("Test case #%d\n",++t);
27         for(int i=1;i<n;i++){
28             int len=i+1;
29             if(nxt[len]!=0){
30                 if(len%(len-nxt[len])==0) printf("%d %d\n",len,len/(len-nxt[len]));
31             }  
32         }
33         printf("\n");
34     }
35 }

 

以上是关于Period HDU - 1358的主要内容,如果未能解决你的问题,请参考以下文章

HDU-1358-Period(KMP, 循环节)

HDU-1358 Period 字符串问题 KMP算法 求最小循环节

HDU 1358 Period

Period HDU - 1358

hdu 1358 Period

HDU - 1358 Period