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.
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.
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
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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;}
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