poj3461
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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
简单的kmp算法
只是最终记录的不是第一个匹配的字串的下标,而是能够最多匹配的淄川的个数,值得注意的是在匹配完成的时候,j==m,需要添加一行代码
j=next[m];否则会造成下次循环式b[j]的下表越界,虽然可以ac但是严谨还是好点的,
代码如下
#include<cstdio>#include<cstring>#include <iostream>#include <cstdlib>using namespace std;const int maxn=1000020,maxn1=10050;char a[maxn],b[maxn];int next[maxn],n,m;void next_d(){ next[0]=0; next[1]=0; int j; for(int i=1;i<m;i++) { j=next[i]; while(j&&b[j]!=b[i]) j=next[j]; if(b[i]==b[j]) next[i+1]=j+1; else next[i+1]=0; }}int kmp(){ int i,j=0,count=0; for(i=0;i<n;i++) { while(j&&a[i]!=b[j]) j=next[j]; if(a[i]==b[j]) j++; if(j==m) { j=next[m];//注意!!!防止下标越界 count++; } } return count;}int main(){ int g; scanf("%d",&g); while(g--) { scanf("%s",b); scanf("%s",a); n=(int)strlen(a); m=(int)strlen(b); next_d(); int result=kmp(); printf("%d\n",result); } return 0;}
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