poj 3080 KMP

Blue Jeans

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 11564		Accepted: 4969

Description

The Genographic Project is a research partnership between IBM and The National Geographic Society that is analyzing DNA from hundreds of thousands of contributors to map how the Earth was populated. 

As an IBM researcher, you have been tasked with writing a program that will find commonalities amongst given snippets of DNA that can be correlated with individual survey information to identify new genetic markers. 

A DNA base sequence is noted by listing the nitrogen bases in the order in which they are found in the molecule. There are four bases: adenine (A), thymine (T), guanine (G), and cytosine (C). A 6-base DNA sequence could be represented as TAGACC. 

Given a set of DNA base sequences, determine the longest series of bases that occurs in all of the sequences.

Input

Input to this problem will begin with a line containing a single integer n indicating the number of datasets. Each dataset consists of the following components:

• A single positive integer m (2 <= m <= 10) indicating the number of base sequences in this dataset.
• m lines each containing a single base sequence consisting of 60 bases.

Output

For each dataset in the input, output the longest base subsequence common to all of the given base sequences. If the longest common subsequence is less than three bases in length, display the string "no significant commonalities" instead. If multiple subsequences of the same longest length exist, output only the subsequence that comes first in alphabetical order.

Sample Input

3
2
GATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
3
GATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATACCAGATA
GATACTAGATACTAGATACTAGATACTAAAGGAAAGGGAAAAGGGGAAAAAGGGGGAAAA
GATACCAGATACCAGATACCAGATACCAAAGGAAAGGGAAAAGGGGAAAAAGGGGGAAAA
3
CATCATCATCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
ACATCATCATAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AACATCATCATTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Sample Output

no significant commonalities
AGATAC
CATCATCAT

 

 

题目大意：找几个字串的最长公共子串。如小于3则输出no siginificant commonalities

 

思路：

用其他的字符串对每一个字串的后缀进行匹配，计录每个字串能匹配到的最大长度，然后所有串取min.

再把所有后缀的min取个max即可

 

#include<cstdio>
#include<cstdlib>
#include<cmath>
#include<cstring>
#include<algorithm>

using namespace std;

int a[21][71];
int s[71],next[71];
int m,ap,ple,xzq,n,i,j,k,x,z,q,t,l,T;
char c;
bool p;

void Read()
{
    m=0;
    while(c=getchar(),c<'A'||c>'Z');
    a[i][++m]=c;
    while(c=getchar(),c>='A'&&c<='Z'){
        a[i][++m]=c;
        if(m==60)break;
    }
}

bool compare(int x,int z,int q)
{
    int i;
    for(i=1;i<=q;i++){
        if(a[1][x+i-1]<a[1][z+i-1])return true;
        if(a[1][x+i-1]>a[1][z+i-1])return false;
    }
    return false;
}

int main()
{
    scanf("%d",&t);
    for(T=1;T<=t;T++){
        memset(a,0,sizeof(a));
        xzq=0;
        scanf("%d",&n);
        for(i=1;i<=n;i++){
            Read();
        }
        for(i=1;i<=58;i++){
            for(j=i;j<=60;j++)s[j-i+1]=a[1][j];
            l=60-i+1;
            memset(next,0,sizeof(next));
            x=0;
            for(j=2;j<=l;j++){
                while(x!=0&&s[j]!=s[x+1])x=next[x];
                if(s[j]==s[x+1])x++;
                next[j]=x;
            }
            ple=0;
            for(j=2;j<=n;j++){
                ap=0;
                x=0;
                for(k=1;k<=60;k++){
                    while(x!=0&&a[j][k]!=s[x+1])x=next[x];
                    if(a[j][k]==s[x+1])x++;
                    if(x>ap)ap=x;
                    if(x==l)x=next[x];
                }
                if(ple==0||ap<ple)ple=ap;
            }
            if(ple>xzq){
                xzq=ple;
                z=i;
                q=ple;
            }
            else if(ple==xzq){
                p=compare(z,i,ple);
                if(p==false){
                    z=i;
                    q=ple;
                }
            }
            
        }
        if(xzq<3)printf("no significant commonalities\n");
        else{
            for(i=z;i<z+q;i++)printf("%c",a[1][i]);
            printf("\n");
        }
    }
}