hdu 1686 Oulipo(KMP算法)

本文详细介绍KMP算法的工作原理及其实现过程,并提供了一个具体的编程实现案例。通过对字符串匹配问题的探讨,展示了如何利用KMP算法高效地解决实际问题。

                                                     Oulipo

http://blog.youkuaiyun.com/yaochunnian/article/details/7059486
Time Limit: 3000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)

Total Submission(s): 5591    Accepted Submission(s): 2237
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
经典的KMP算法;
代码(可当模板):
#include<stdio.h> #include<string.h> char a[10010]; char b[1000100]; int next[10010]; void setnext(char a[],int next[]) { int i,j,k; memset(next,0,sizeof(next)); i=0;j=-1; next[0]=-1; int n; n=strlen(a); for(;i<n;) { if(j==-1||a[i]==a[j]) { j++; i++; if(a[i]!=a[j]) { next[i]=j; } else next[i]=next[j]; } else j=next[j]; } } int kmp(char a[],char b[]) { setnext(a,next); int i,j; i=0,j=0; int la,lb; int sum=0; la=strlen(a); lb=strlen(b); for(;i<lb;) { if(j==-1||b[i]==a[j]) { i++;//i对应主字符串(长), j++;//j对应模板字符串(短) } else j=next[j]; if(j==la) sum++; } return sum; } int main() { int T; scanf("%d",&T); getchar(); while(T--) { int t; gets(a); gets(b); t=kmp(a,b); printf("%d\n",t); } return 0; }
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