HDU1711 Number Sequence
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Number Sequence
Time Limit: 10000/5000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
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
Source
HDU 2007-Spring Programming Contest
由于这道题的测试数据规模较大,传统的模式匹配算法一定会超限,所以我们可以使用KMP算法来实现这个功能。
KMP算法虽然算法简单,但是并不好理解,所以我就找了一个相关的链接可供参考。
点击打开链接
#include<stdio.h>#include<string.h>#define N 1000005int next[N],a[N],b[N];int m,n;void Next()//就是上面的分匹配表的实现{ int i,j; i=0; j=-1; next[i]=j; //匹配表初值 while(i<m) { if(j==-1||b[i]==b[j]) { i++; j++; next[i]=j; } else j=next[j]; } return ;}int KMP()//kmp匹配算法{ int i,j; i=j=0; Next();//先计算部分匹配表 while(i<n) { if(j==-1||a[i]==b[j]) { i++; j++; if(j==m) return i-m+1;//找到目标字符串,返回到主程序。 } else j=next[j];//a[i]与b[j]不匹配,查表需要跳过的字符个数。 } return -1;//没有找到返回-1}int main(){ int t; scanf("%d",&t); while(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]); if(KMP()==-1) printf("-1\n"); else printf("%d\n",KMP()); } return 0;}
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