KMP 1 2 hdu 1686 Oulipo 计算模式串在文本串中出现的次数

本文深入解析KMP算法在字符串匹配中的应用,通过具体题目示例,展示如何快速准确地找出模式串在文本串中出现的次数。适用于对算法有兴趣的读者。

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题目:

Oulipo

Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 5985    Accepted Submission(s): 2404


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

  
3BAPCBAPCAZAAZAZAZAVERDIAVERDXIVYERDIAN
 

Sample Output

  
130
 

Source
 

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题目分析:

           KMP,简单题。


代码如下:

#include<iostream>#include<algorithm>#include<cstdio>#include<cstring>using namespace std;const int maxn = 1000001;char text[maxn];//文本串char pattern[maxn];//模式串int nnext[maxn];//next数组.直接起next可能会跟系统中预定的重名/*O(m)的时间求next数组*/void get_next() int patternLen = strlen(pattern);//计算模式串的长度 nnext[0] = nnext[1] = 0for (int i = 1; i < patternLen; i++) {  int j = nnext[i];  while (j && pattern[i] != pattern[j]){   j = nnext[j];  }  nnext[i + 1] = pattern[i] == pattern[j] ? j + 1 : 0; }}/*o(n)的时间进行匹配 * * 返回第一次匹配的位置 */int kmp() int ans = 0;//计算模式串在文本串中出现的次数 int textLen = strlen(text);//计算文本串的长度 int patternLen = strlen(pattern);//计算模式串的长度 int j = 0;/*初始化在模式串的第一个位置*/ for (int i = 0; i < textLen; i++) {/*遍历整个文本串*/  while (j && pattern[j] != text[i]){/*顺着失配边走,直到可以匹配,最坏得到情况是j = 0*/   j = nnext[j];  }  if (pattern[j] == text[i]){/*如果匹配成功继续下一个位置*/   j++;  }  if (j == patternLen) {   ans++;//计算pattern在text中出现的次数..  } } return ans;}int main() int t; scanf("%d", &t); while (t--) {  scanf("%s%s", pattern, text);  get_next();  printf("%d\n", kmp()); } return 0;}




           

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