hdu2457:DNA repair

AC自动机+dp。问改变多少个字符能让目标串不含病毒串。即走过多少步不经过病毒串终点。又是同样的问题。

#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<queue>
using namespace std;
#define REP(i,s,t) for(int i=s;i<=t;i++)
#define dwn(i,s,t) for(int i=s;i>=t;i--)
#define clr(x,c) memset(x,c,sizeof(x))
const int nmax=1005;
const int inf=0x7f7f7f7f;
int ch[nmax][4],fail[nmax],pt=0,dp[nmax][nmax];
bool F[nmax];
char s[nmax];
int id(char c){
	if(c=='A') return 0;
	if(c=='C') return 1;
	if(c=='G') return 2;
	else return 3;
}
void insert(){
	int t=0,len=strlen(s);
	REP(i,0,len-1) {
		if(!ch[t][id(s[i])]) ch[t][id(s[i])]=++pt;
		t=ch[t][id(s[i])];
	}
	F[t]=true;
}
queue<int>q;
void getfail(){
	q.push(0);fail[0]=0;
	while(!q.empty()){
		int x=q.front();q.pop();
		REP(i,0,3){
			if(ch[x][i]) q.push(ch[x][i]),fail[ch[x][i]]=x==0?0:ch[fail[x]][i];
			else ch[x][i]=x==0?0:ch[fail[x]][i];
		}
		F[x]|=F[fail[x]];
	}
}
void work(int x){
	clr(dp,0x7f);dp[0][0]=0;
	scanf("%s",s);int len=strlen(s);
	REP(i,0,len-1) REP(j,0,pt) if(dp[i][j]!=inf){
		REP(k,0,3){
			int tmp=ch[j][k];if(F[tmp]) continue;
			int temp=(k==id(s[i]))?dp[i][j]:dp[i][j]+1;
			dp[i+1][tmp]=min(dp[i+1][tmp],temp);
		}
	}
	int ans=inf;
	REP(i,0,pt) ans=min(ans,dp[len][i]);
	if(ans==inf) printf("Case %d: -1\n",x);
	else printf("Case %d: %d\n",x,ans);
}
int main(){
	int n,cur=0;
	while(scanf("%d",&n)!=EOF&&n){
		clr(fail,0);clr(ch,0);clr(F,false);pt=0;
		REP(i,1,n) scanf("%s",s),insert();
		getfail();work(++cur);
	}
	return 0;
}

　　

DNA repair

Time
Limit: 5000/2000 MS (Java/Others) Memory Limit: 32768/32768 K
(Java/Others)
Total Submission(s): 2204 Accepted Submission(s):
1168

Problem Description

Biologists finally invent techniques of repairing DNA
that contains segments causing kinds of inherited diseases. For the sake of
simplicity, a DNA is represented as a string containing characters 'A', 'G' ,
'C' and 'T'. The repairing techniques are simply to change some characters to
eliminate all segments causing diseases. For example, we can repair a DNA
"AAGCAG" to "AGGCAC" to eliminate the initial causing disease segments "AAG",
"AGC" and "CAG" by changing two characters. Note that the repaired DNA can still
contain only characters 'A', 'G', 'C' and 'T'.

You are to help the
biologists to repair a DNA by changing least number of characters.

 

Input

The input consists of multiple test cases. Each test
case starts with a line containing one integers N (1 ≤ N ≤ 50), which is the
number of DNA segments causing inherited diseases.
The following N lines
gives N non-empty strings of length not greater than 20 containing only
characters in "AGCT", which are the DNA segments causing inherited
disease.
The last line of the test case is a non-empty string of length not
greater than 1000 containing only characters in "AGCT", which is the DNA to be
repaired.

The last test case is followed by a line containing one
zeros.

 

Output

For each test case, print a line containing the test
case number( beginning with 1) followed by the
number of characters which
need to be changed. If it's impossible to repair the given DNA, print -1.

 

Sample Input

2
AAA
AAG
AAAG
2
A
TG
TGAATG
4
A
G
C
T
AGT
0

 

Sample Output

Case 1: 1
Case 2: 4
Case 3: -1

 

Source

2008
Asia Hefei Regional Contest Online by USTC

 

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