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  • LA3026

    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 AK , that is A concatenated K times, for some string A. Of course, we also want to know the period K.

    Input 

    The 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.

    Output 

    For 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
    
    
    KMP模板题
    
    
    #include <iostream>
    #include <cstdio>
    #include <cstring>
    #include <vector>
    #include <string>
    #include <algorithm>
    #include <queue>
    #include <map>
    using namespace std;
    
    const int maxn = 1000000+10;
    int next[maxn];
    int n;
    string str;
    
    vector<int> find(string T,string P){
        int n = T.size(),m = P.size();
        vector<int> vn;
        getNext(P,next);
        for(int i = 0,j = 0; i < n; i++){
            while(j&&P[j] != T[i]) j = next[j];
            if(P[i]==T[j]) j++;
            if(j==m) vn.push_back(i-m+1);
        }
        return vn;
    
    }
    
    void getFail(string st,int *f){
        int m = st.size();
        next[0] = 0;
        next[1] = 0;
        int len = 1;
        for(int i = 1; i < m; i++){
            int j = next[i];
            while(j && st[i] != st[j]) j = next[j];
            if(st[i]==st[j]){
                next[i+1] = j+1;
            }else{
                next[i+1] = 0;
            }
        }
    }
    int main(){
        int T = 1;
        while(~scanf("%d",&n) && n){
            cin >> str;
            printf("Test case #%d
    ",T++);
            getFail(str,next);
            for(int i = 2; i <=  n; i++){
                if(next[i]> 0&&i%(i-next[i])==0){
                    cout<<i<<" "<<i/(i-next[i])<<endl;
                }
            }
            cout<<endl;
        }
        return 0;
    }
    


    版权声明:本文博客原创文章。博客,未经同意,不得转载。

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  • 原文地址:https://www.cnblogs.com/lcchuguo/p/4732435.html
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