(HDU)1711
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Number Sequence
Time Limit: 10000/5000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 24863 Accepted Submission(s): 10530
Problem Description
Given two sequences of numbers : a[1], a[2], ...... , a[N], and b[1], b[2], ...... , b[M] (1 <= M <= 10000, 1 <= N <= 1000000). Your task is to find a number K which make a[K] = b[1], a[K + 1] = b[2], ...... , a[K + M - 1] = b[M]. If there are more than one K exist, output the smallest one.
Input
The first line of input is a number T which indicate the number of cases. Each case contains three lines. The first line is two numbers N and M (1 <= M <= 10000, 1 <= N <= 1000000). The second line contains N integers which indicate a[1], a[2], ...... , a[N]. The third line contains M integers which indicate b[1], b[2], ...... , b[M]. All integers are in the range of [-1000000, 1000000].
Output
For each test case, you should output one line which only contain K described above. If no such K exists, output -1 instead.
Sample Input
213 51 2 1 2 3 1 2 3 1 3 2 1 21 2 3 1 313 51 2 1 2 3 1 2 3 1 3 2 1 21 2 3 2 1
Sample Output
6-1
KMP算法的入门题目,题意为输入一个原始串和一个模板串,在原始串中找到一个连续的和模板串一样的子串,再输出其开头索引,若没有就输出-1。注意KMP停止的时候索引的位置是匹配后模版串尾端的索引,所以要减去模版串长度后+1。
#include <bits/stdc++.h>using namespace std;const int MAXN=1000010;const int MAXM=10010;int a[MAXN],b[MAXM],nex[MAXM];int n,m;void preKMP(){ int p=0,q=-1; nex[0]=-1; while(p<m){ while(q!=-1 && b[p]!=b[q]) q=nex[q]; nex[++p]=++q; }}int KMP(){ preKMP(); int p=0,q=0; while(p<n&&q<m){ while(q!=-1 && a[p]!=b[q]) q=nex[q]; p++; q++; if(q==m) return p-m+1; } return -1;}int main(){ int t; for(scanf("%d",&t);t;t--) { scanf("%d %d",&n,&m); for(int i=0;i<n;i++) scanf("%d",&a[i]); for(int i=0;i<m;i++) scanf("%d",&b[i]); printf("%d\n",KMP()); } return 0;}
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