题目:
Oulipo
Time Limit: 3000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 5985 Accepted Submission(s): 2404
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
Source
华东区大学生程序设计邀请赛_热身赛
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题目分析:
KMP,简单题。
代码如下:
#include<iostream>
#include<algorithm>
#include<cstdio>
#include<cstring>
using namespace std;
const int maxn = 1000001;
char text[maxn];//文本串
char pattern[maxn];//模式串
int nnext[maxn];//next数组.直接起next可能会跟系统中预定的重名
/*O(m)的时间求next数组*/
void get_next() {
int patternLen = strlen(pattern);//计算模式串的长度
nnext[0] = nnext[1] = 0;
for (int i = 1; i < patternLen; i++) {
int j = nnext[i];
while (j && pattern[i] != pattern[j]){
j = nnext[j];
}
nnext[i + 1] = pattern[i] == pattern[j] ? j + 1 : 0;
}
}
/*o(n)的时间进行匹配
*
* 返回第一次匹配的位置
*/
int kmp() {
int ans = 0;//计算模式串在文本串中出现的次数
int textLen = strlen(text);//计算文本串的长度
int patternLen = strlen(pattern);//计算模式串的长度
int j = 0;/*初始化在模式串的第一个位置*/
for (int i = 0; i < textLen; i++) {/*遍历整个文本串*/
while (j && pattern[j] != text[i]){/*顺着失配边走,直到可以匹配,最坏得到情况是j = 0*/
j = nnext[j];
}
if (pattern[j] == text[i]){/*如果匹配成功继续下一个位置*/
j++;
}
if (j == patternLen) {
ans++;//计算pattern在text中出现的次数..
}
}
return ans;
}
int main() {
int t;
scanf("%d", &t);
while (t--) {
scanf("%s%s", pattern, text);
get_next();
printf("%d\n", kmp());
}
return 0;
}