3461 Oulipo 计算a中多少个与b匹配的子串 两个KMP模板
2010-10-09 11:56
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Oulipo
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
Sample Output
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 6169 | Accepted: 2342 |
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
#include<iostream> #include<cstdio> #include<cstring> #include<string> using namespace std; const int maxn=2000000; int next[maxn]; char a[maxn],b[maxn]; //s数组从0开始,但是next数组计算时是从1开始(next[i]--s[i-1]),计算结果也从1开始 void get_next(char *s,int next[]) { int len=strlen(s); int i=0,j=-1; next[0]=-1; while(i<len) { if(j==-1||s[i]==s[j]) i++,j++,next[i]=j; else j=next[j]; } } int KMP(char *a,char *b)//a主串,b子串 返回值为a中与b匹配的第一个字母的位置(从0开始) { get_next(b,next);//计算next int n=strlen(a),m=strlen(b); int i=0,j=0; while(i<n&&j<m) { if(j==-1||a[i]==b[j]) i++,j++; else j=next[j]; } if(j>=m) return i-m; return -1; } int KMP_Count(char *a,char *b)//a主串,b子串 返回值为共有a中多少个与b匹配的子串 { get_next(b,next);//计算next int n=strlen(a),m=strlen(b); int i=0,j=0; int cnt=0; while(i<n&&j<m) { if(j==-1||a[i]==b[j]) i++,j++; else j=next[j]; if(j==m) cnt++,j=next[j]; } return cnt; } int main() { int ci;scanf("%d",&ci); while(ci--) { scanf("%s%s",b,a); cout<<KMP_Count(a,b)<<endl; } return 0; }[/code]
#include<iostream> #include<cstdio> #include<cstring> #include<string> using namespace std; const int maxn=2000000; int next[maxn]; char a[maxn],b[maxn]; //s数组从0开始,但是next数组计算时是从1开始(next[i]--s[i-1]),计算结果也从1开始 void get_next(char *s,int next[]) { int len=strlen(s); int i=0,j=-1; next[0]=-1; while(i<len) { if(j==-1||s[i]==s[j]) i++,j++,next[i]=j; else j=next[j]; } } int KMP(char *a,char *b)//a主串,b子串 返回值为a中与b匹配的第一个字母的位置(从0开始) { get_next(b,next);//计算next int n=strlen(a),m=strlen(b); int i=0,j=0; while(i<n&&j<m) { if(j==-1||a[i]==b[j]) i++,j++; else j=next[j]; } if(j>=m) return i-m; return -1; } int KMP_Count(char *a,char *b)//a主串,b子串 返回值为共有a中多少个与b匹配的子串 { get_next(b,next);//计算next int n=strlen(a),m=strlen(b); int i=0,j=0; int cnt=0; while(i<n&&j<m) { if(j==-1||a[i]==b[j]) i++,j++; else j=next[j]; if(j==m) cnt++,j=next[j]; } return cnt; } /*void get_next(char *s,int next[])//next数组从0开始 { int len=strlen(s); next[0]=-1; for(int j=1;j<len;j++) { int i=next[j-1]; while(s[j]!=s[i+1]&&i>=0) i=next[i]; if(s[j]==s[i+1]) next[j]=i+1; else next[j]=-1; } } int KMP(char *a,char *b)//a主串,b子串 返回值为a中与b匹配的第一个字母的位置(从0开始) { get_next(b,next);//计算next int n=strlen(a),m=strlen(b); int i=0,j=0; while(i<m&&j<n) { if(b[i]==a[j]) i++,j++; else if(i==0) j++; else i=next[i-1]+1; } if(i<m) return -1; return j-m; } int KMP_Count(char *a,char *b) { get_next(b,next);//计算next int n=strlen(a),m=strlen(b); int i=0,j=0,cnt=0; while(i<m&&j<n) { if(b[i]==a[j]) i++,j++; else if(i==0) j++; else i=next[i-1]+1; if(i==m) i=next[i-1]+1,cnt++; } return cnt; }*/ int main() { int ci;scanf("%d",&ci); while(ci--) { scanf("%s%s",b,a); cout<<KMP_Count(a,b)<<endl; } return 0; }
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