Number Sequence
Time Limit: 10000/5000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 37965 Accepted Submission(s): 15716
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
Source
HDU 2007-Spring Programming Contest
这次是数组而不是字符串,原理相同
#include <bits/stdc++.h>
using namespace std;
const int maxn = 1e6 + 5;
int a[maxn], b[maxn], nex[maxn];
int n, m;
void getNext()
{
nex[0] = -1;
int k = -1;
for(int q = 1;q < n; q ++)
{
while(k > -1 && b[k+1] != b[q])
k = nex[k];
if(b[k+1] == b[q])
k ++;
nex[q] = k;
}
}
int kmp()
{
getNext();
int k = -1;
for(int i = 0;i < n;i ++)
{
while(k > -1 && b[k+1] != a[i])
k = nex[k];
if(b[k+1] == a[i])
k ++;
if(k == m - 1)
return i - m + 1;
}
return -1;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
int t;
cin >> t;
while(t --)
{
cin >> n >> m;
for(int i = 0;i < n;i ++)
cin >> a[i];
for(int i = 0;i < m;i ++)
cin >> b[i];
int ans = kmp();
if(ans != -1)
cout << ++ans << endl;
else cout << ans << endl;
}
return 0;
}