HDU - 1686 Oulipo (KMP)

2024-06-05 21:32
文章标签 hdu kmp 1686 oulipo

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Problem Description
The French author Georges Perec (1936–1982) once wrote a book, La disparition, without the letter 'e'. He was a member of the Oulipo group. A quote from the book:

Tout avait Pair normal, mais tout s’affirmait faux. Tout avait Fair normal, d’abord, puis surgissait l’inhumain, l’affolant. Il aurait voulu savoir où s’articulait l’association qui l’unissait au roman : stir son tapis, assaillant à tout instant son imagination, l’intuition d’un tabou, la vision d’un mal obscur, d’un quoi vacant, d’un non-dit : la vision, l’avision d’un oubli commandant tout, où s’abolissait la raison : tout avait l’air normal mais…

Perec would probably have scored high (or rather, low) in the following contest. People are asked to write a perhaps even meaningful text on some subject with as few occurrences of a given “word” as possible. Our task is to provide the jury with a program that counts these occurrences, in order to obtain a ranking of the competitors. These competitors often write very long texts with nonsense meaning; a sequence of 500,000 consecutive 'T's is not unusual. And they never use spaces.

So we want to quickly find out how often a word, i.e., a given string, occurs in a text. More formally: given the alphabet {'A', 'B', 'C', …, 'Z'} and two finite strings over that alphabet, a word W and a text T, count the number of occurrences of W in T. All the consecutive characters of W must exactly match consecutive characters of T. Occurrences may overlap.


Input
The first line of the input file contains a single number: the number of test cases to follow. Each test case has the following format:

One line with the word W, a string over {'A', 'B', 'C', …, 'Z'}, with 1 ≤ |W| ≤ 10,000 (here |W| denotes the length of the string W).
One line with the text T, a string over {'A', 'B', 'C', …, 'Z'}, with |W| ≤ |T| ≤ 1,000,000.

Output
For every test case in the input file, the output should contain a single number, on a single line: the number of occurrences of the word W in the text T.


Sample Input
  
3 BAPC BAPC AZA AZAZAZA VERDI AVERDXIVYERDIAN

Sample Output
  
1 3 0 题意:给你一个匹配串,一个文本串,求匹配串在文本串出现的次数 思路:KMP的基本应用
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int maxn = 1000010;char a[maxn], b[maxn];
int next[maxn];
int n, m;void getnext() {int m = strlen(a);next[0] = 0, next[1] = 0;for (int i = 1; i < m; i++) {int j = next[i];while (j && a[i] != a[j])j = next[j];next[i+1] = a[i] == a[j] ? j+1 : 0;}
}int kmp() {int ans = 0;int n = strlen(b);int m = strlen(a);int j = 0;for (int i = 0; i < n; i++) {while (j && a[j] != b[i])j = next[j];if (a[j] == b[i])j++;if (j == m)ans++;}return ans;
}int main() {int t;scanf("%d", &t);while (t--) {scanf("%s%s", a, b);getnext();int ans = kmp();printf("%d\n", ans);}return 0;
}


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