Problem A Number Sequence(KMP基础)
2015-05-29 01:27
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A - Number Sequence
Time Limit:5000MS Memory Limit:32768KB 64bit IO Format:%I64d & %I64u
Submit Status Practice HDU 1711
Description
Given two sequences of numbers : a[1], a[2], ...... , a
, 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
. 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
题目大意:
给你一个长度为n和长度为m的串,然后让你求出这个长度为m的串第一次在长度为n的串中出现的下标是什么(当然是完全匹配后的),如果有
多个地方出现了这个长度为m的串,那我们就输出最小的下标编号。
解题思路:
直接上kmp,先对模式串通过O(m)的时间复杂度,计算出next[],然后通过kmp找到找到第一次匹配成功的模式串在文本串中的位置,然后输出
t1-len2+1就OK了。
代码:
Time Limit:5000MS Memory Limit:32768KB 64bit IO Format:%I64d & %I64u
Submit Status Practice HDU 1711
Description
Given two sequences of numbers : a[1], a[2], ...... , a
, 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
. 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
题目大意:
给你一个长度为n和长度为m的串,然后让你求出这个长度为m的串第一次在长度为n的串中出现的下标是什么(当然是完全匹配后的),如果有
多个地方出现了这个长度为m的串,那我们就输出最小的下标编号。
解题思路:
直接上kmp,先对模式串通过O(m)的时间复杂度,计算出next[],然后通过kmp找到找到第一次匹配成功的模式串在文本串中的位置,然后输出
t1-len2+1就OK了。
代码:
# include<cstdio> # include<iostream> # include<cstring> using namespace std; int a[1000004]; int b[10004]; int nxt[10004]; int n,m; void get_next() { int len = m; int t1 = 0, t2; t2 = nxt[0] = -1; while ( t1<len ) { if ( t2==-1||b[t1]==b[t2] ) { t1++;t2++; nxt[t1] = t2; } else t2 = nxt[t2]; } } int kmp ( int *a,int *b ) { int len1 = n, len2 = m; int t1 = 0,t2 = 0; while ( t1<len1&&t2<len2 ) { if ( t2==-1||a[t1]==b[t2] ) { t1++;t2++; } else t2 = nxt[t2]; } if ( t2==len2 ) return t1-t2+1; else return -1; } int main(void) { 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 j = 0;j < m;j++ ) scanf("%d",&b[j]); get_next(); int ans = kmp(a,b); printf("%d\n",ans); } return 0; }
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