题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1711
问题描述:给两个序列a,b,长度分别为n,m(1<=n<=1000000,1<=m<=10000),问序列b是否为序列a的子序列,若是:返回a中最左边的与b相等的子序列的首元素下标;若不是,输出-1。
目的:方便以后查看KMP算法中next[]的模板
Number Sequence
Time Limit: 10000/5000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 12811 Accepted Submission(s): 5815
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
2
13 5
1 2 1 2 3 1 2 3 1 3 2 1 2
1 2 3 1 3
13 5
1 2 1 2 3 1 2 3 1 3 2 1 2
1 2 3 2 1
Sample Output
6
-1
代码实现:
1 #include "stdio.h" 2 #include "string.h" 3 #define N 10005 4 5 int next[N]; 6 int a[100*N],b[N]; 7 8 void KMP(int *s,int len,int *next) //求next[]模板 9 { 10 int i,j; 11 i = 0; 12 j = next[0] = -1; 13 while(i<len) 14 { 15 while(j!=-1 && s[i]!=s[j]) 16 j = next[j]; 17 next[++i] = ++j; 18 } 19 } 20 21 int main() 22 { 23 int T; 24 int i,j; 25 int n,m; 26 scanf("%d",&T); 27 while(T--) 28 { 29 scanf("%d %d",&n,&m); 30 for(i=0; i<n; i++) scanf("%d",&a[i]); 31 for(i=0; i<m; i++) scanf("%d",&b[i]); 32 KMP(b,m,next); 33 i=j=0; 34 while(i<n) 35 { 36 while(j!=-1 && a[i]!=b[j]) 37 j = next[j]; 38 i++,j++; 39 if(j==m) break; 40 } 41 if(j==m) printf("%d\n",i-j+1); //题中数据是从下标为1开始的,故加1 42 else printf("-1\n"); 43 } 44 return 0; 45 }