KMP Oulipo

Oulipo

Time Limit : 3000/1000ms (Java/Other)   Memory Limit : 32768/32768K (Java/Other)

Total Submission(s) : 40   Accepted Submission(s) : 26

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

华东区大学生程序设计邀请赛_热身赛

 

例如：用KMP记录字串与母串比较不相等时字串返回的位置

abcabcab  -1 0 0 0 1 2 3 4

abababab  -1 0 0 1 2 3 4 5

 

#include<stdio.h>#include<string.h>#define M 1010000char a[M],b[M];int p[M];int sum,len1,len2;//P()是字串与字串的比较 void P()//求得字串与母串比较不相等时，字串返回的位置 {int i,j;i=0;j=-1;//规定字串第一个字符为-1，第二个字符为0。 p[i]=j;while(i<len1){if(j==-1||a[i]==a[j]){j++;i++;p[i]=j;}else j=p[j];}}void kmp(){P();int i=0;int j=0;while(i<len2){if(j==-1||a[j]==b[i]){i++;j++;if(j==len1)sum++;}else j=p[j];//每一次比较不相等时字串回到的位置 }}int main(){int T;scanf("%d",&T);while(T--){scanf("%s%s",a,b);len1=strlen(a);len2=strlen(b);sum=0;kmp();printf("%d\n",sum);}return 0;}