C++之路进阶——poj3461(Oulipo)

本文介绍了一个基于Oulipo文学挑战的编程竞赛题目,该题目要求使用KMP算法快速查找给定单词在长字符串中出现的次数。通过对KMP算法的实现和优化,参赛者可以有效地解决这一问题。

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Oulipo
Time Limit: 1000MS Memory Limit: 65536K
Total Submissions: 35694 Accepted: 14424

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

Source

题解:

    kmp经典例题,因为题目说可压缩,所以末尾+1的失败指针指向1,1的失败指针指向0,就ok了。

 1 #include<cstdio>
 2 #include<cstring>
 3 #include<iostream>
 4 #include<algorithm>
 5 #define maxn 1000000
 6 
 7 using namespace std;
 8 
 9 int next[maxn],n;
10 char W[maxn],T[maxn];
11 
12 void getnext()
13     {
14         int j=0,k=-1;next[0]=-1;
15         while (!j||W[j]!=0)
16            {
17                 if (k==-1||W[j]==W[k])
18                   {
19                     j++,k++;
20                     if (W[j]!=W[k]) next[j]=k;else next[j]=next[k];
21                }else k=next[k];
22            }
23     }
24     
25 int kmp()
26     {
27         int i=0,j=0,num=0;
28         memset(next,0,sizeof(next));
29         int T_len=strlen(T),W_len=strlen(W);
30         getnext();
31         while (i<T_len)
32            {
33                 if (j==-1||T[i]==W[j]) i++,j++;
34                    else j=next[j];
35                 if (j==W_len)
36                   {
37                         num++;
38                         j=next[j];
39                   }
40            }
41         return num;       
42     }    
43 
44 int main()
45   {
46       scanf("%d",&n);
47       for (int i=1;i<=n;i++)
48          {
49               scanf("%s%s",W,T);
50               printf("%d\n",kmp());
51          }
52       return 0;
53   }
54   

 

转载于:https://www.cnblogs.com/grhyxzc/p/5750795.html

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