hdu 1686 比较 hdu 2087 深入了解KMP
2014-03-10 21:07
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Oulipo
Time Limit: 3000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)Total Submission(s): 4002 Accepted Submission(s): 1579
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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当我在比赛时看到这个题目时我嘿嘿了,因为我真的会KMP,但是随即我又呵呵了,因为我确实想不到对于这个应该是怎么做的,这让我想起来以前做过的hdu 2087的剪
华布条的题目,非常的类似,但是hdu 2087的问题在于我们对于这个字符串是不可以
重复利用的,但是求next数组的过程都是一致的,关键在于其比较。其实核心在于J
什么时候被赋成0的问题。对于这个问题来说,就是比较何时从小字符串的开始合适比。对于hdu 1686来说,j=0只能是当前面j==-1也就是没得匹配的时候才进行从0开始,可是对于剪花布条而言,因为不能重复利用,只能是等到当我们的小字符串已经被完全匹配过,sum++之后才可以进行的。
hdu 2087 点击打开链接的博客。
#include<iostream> #include <stdio.h> #include <string.h> using namespace std; int i,j,k,t; char s1[10010],s2[1000010]; int next[10010]; /* 当发生失配的情况下, j的新值next[j]取决于模式串 中T[0 ~ j-1]中前缀和后缀相等部分的长度, 并且next[j]恰好等于这个最大长度。 */ void getNext(int len) { int j,k; next[0]=-1; j=0; k=-1; while(j<len) { if(k==-1||s1[k]==s1[j]) { k++; j++; next[j]=k; } else k=next[k]; } } int main() { /* while(scanf("%s",s1)) { if(s1[0]=='#') break; scanf("%s",s2); la=strlen(s1); lb=strlen(s2); getNext(); int sum=0; if(la<lb) printf("0\n"); else { int i=0; int j=0; while(i<la) { if(j==-1||s1[i]==s2[j]) { i++; j++; } else j=next[j]; if(j==lb) { j=0; sum++; } } printf("%d\n",sum); } } return 0; */ scanf("%d",&t); while(t--) { scanf("%s",s1); scanf("%s",s2); int i,j,k; i=0; j=0; k=0; int la=strlen(s2); int lb=strlen(s1); getNext(lb); int sum=0; /* for(i=0;i<=lb;i++) { printf("h%d\n",next[i]); }*/ /*for(i=0;i<=lb;i++) { printf("h %d\n",next[i]); }*/ while(i<la) { //printf("jj %d\n",j); if(s2[i]==s1[j]) { i++; j++; // printf("jjjj %d\n",j); } else { //printf("%c hh %c\n",s2[i],s1[j]); j=next[j]; if(j==-1) { i++; j=0; } } if(j==lb) { sum++; } } printf("%d\n",sum); } return 0; }
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