POJ 3461 Oulipo KMP大法应用
题目:
The French author Georges Perec (1936–1982) once wrote a book, La disparition, without the letter <tt>'e'</tt>. 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 <tt>'T'</tt>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 {<tt>'A'</tt>, <tt>'B'</tt>, <tt>'C'</tt>, …, <tt>'Z'</tt>} 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.
InputThe 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 {<tt>'A'</tt>, <tt>'B'</tt>, <tt>'C'</tt>, …, <tt>'Z'</tt>}, with 1 ≤ |W| ≤ 10,000 (here |W| denotes the length of the string W).
- One line with the text T, a string over {<tt>'A'</tt>, <tt>'B'</tt>, <tt>'C'</tt>, …, <tt>'Z'</tt>}, with |W| ≤ |T| ≤ 1,000,000.
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.
3 BAPC BAPC AZA AZAZAZA VERDI AVERDXIVYERDIANSample Output
1 3 0
给定两个字符串a,b,求字符串a在b中出现的最大次数(b由多个a重叠拼接或者直接首尾相接而成)
用KMP中的next数组记录,每记录一次count++最后输出count即可
AC代码(c++):
#include<cstdio>
#include<iostream>
#include<cstring>
#include<algorithm>
using namespace std;
#define N 100010
char s[1000010], p[N];
int next[N];
int lens, lenp;
int KMP()
{
int i=0,j=0,count=0;
while(i!=lens&&j!=lenp)
{
if(s[i]==p[j]||j==-1)
{
i++;
j++;
}
else
j=next[j];
if(j==lenp)
{
count++;
j=next[j];
}
}
return count;
}
int main()
{
int n;
int len;
int ans;
scanf("%d", &n);
while(n--)
{
scanf("%s %s", p, s);
lens = strlen(s);
lenp = strlen(p);
int i=0,j=-1;
next[0]=-1;
while(i<lenp)
{
if(j==-1||s[i]==s[j])
{
i++;
j++;
next[i]=j;
}
else
j=next[j];
}
ans=KMP();
printf("%d\n", ans);
}
return 0;
}