HDU 5918 Sequence I【KMP?】【2016中国大学生程序设计竞赛（长春）】

Sequence I

Time Limit: 3000/1500 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 1102    Accepted Submission(s): 421

Problem Description

Mr. Frog has two sequences  a1,a2,⋯,an and  b1,b2,⋯,bm and a number p. He wants to know the number of positions q such that sequence  b1,b2,⋯,bm is exactly the sequence  aq,aq+p,aq+2p,⋯,aq+(m−1)p where  q+(m−1)p≤n and  q≥1.

 

Input

The first line contains only one integer  T≤100, which indicates the number of test cases.

Each test case contains three lines.

The first line contains three space-separated integers  1≤n≤106,1≤m≤106 and  1≤p≤106.

The second line contains n integers  a1,a2,⋯,an(1≤ai≤109).

the third line contains m integers  b1,b2,⋯,bm(1≤bi≤109).

 

Output

For each test case, output one line “Case #x: y”, where x is the case number (starting from 1) and y is the number of valid q’s.

 

Sample Input

2 6 3 1 1 2 3 1 2 3 1 2 3 6 3 2 1 3 2 2 3 1 1 2 3

 

Sample Output

Case #1: 2 Case #2: 1

 

Source

2016中国大学生程序设计竞赛（长春）-重现赛

原题链接：http://acm.hdu.edu.cn/showproblem.php?pid=5918

题意：给定序列$a$、序列$b$和一个整数$p$，要求出有多少个$q$使得b_1,b_2,\ldots,b_mb​1​​,b​2​​,…,b​m​​恰好是a_q,a_{q+p},\ldots,a_{q+(m-1)p}a​q​​,a​q+p​​,…,a​q+(m−1)p​​。

题解：将$a$按照 $\mathrm{m}\mathrm{o}\mathrm{d}p$拆成若干个串，分别做一次 KMP.

其实可以不用KMP。

AC代码：

#include 
#include 
#include 
using namespace std;
const int maxn=1e6+5;
int a[maxn];
int b[maxn];
int Next[maxn];
int n,m,p;
/**
void getNext()
{
    int i=0,j=-1;
    Next[0]=-1;
    while(i>T;
    while(T--)
    {
        cin>>n>>m>>p;
        for(int i=0; i

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