HDU 4679 String

String

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)
Total Submission(s): 695    Accepted Submission(s): 254

Problem Description

Given 3 strings A, B, C, find the longest string D which satisfy the following rules:

a) D is the subsequence of A

b) D is the subsequence of B

c) C is the substring of D

Substring here means a consecutive subsequnce.

You need to output the length of D.

 

Input

The first line of the input contains an integer T(T = 20) which means the number of test cases.

For each test case, the first line only contains string A, the second line only contains string B, and the third only contains string C.

The length of each string will not exceed 1000, and string C should always be the subsequence of string A and string B.

All the letters in each string are in lowercase.

 

Output

For each test case, output Case #a: b. Here a means the number of case, and b means the length of D.

 

Sample Input

2
aaaaa
aaaa
aa
abcdef
acebdf
cf

 

Sample Output

Case #1: 4
Case #2: 3

Hint

For test one, D is "aaaa", and for test two, D is "acf".

 

Source

2013 Multi-University Training Contest 8

 

>Recommend

zhuyuanchen520

   

  

    祭奠一下这个题

#include <iostream>
#include <string>
#include <cstring>
#include <cstdio>
#define N 1100
using namespace std;
string s1,s2,s3,s4,s5;
char temp[N];
int num1[N][N],num2[N][N];
struct num
{
    int sta,end;
} a[N],b[N];
int main()
{
    //freopen("data.in","r",stdin);
    void get(int (*p)[N],string ch1,string ch2);
    int t,tem=1;
    scanf("%d",&t);
    while(t--)
    {
        cin>>s1>>s2>>s3;
        get(num1,s1,s2);
        int l1 = s1.size();
        for(int i=0; i<=l1-1; i++)
        {
            temp[l1-1-i] = s1[i];
        }
        temp[l1] = '\0';
        s4 = temp;
        int l2 = s2.size();
        for(int i=0; i<=l2-1; i++)
        {
            temp[l2-1-i] = s2[i];
        }
        temp[l2] = '\0';
        s5 = temp;
        get(num2,s4,s5);
        int l3 = s3.size(),Top1=0,Top2=0;
        for(int i=0; i<=l1-1; i++)
        {
            if(s1[i]==s3[0])
            {
                int x = 0;
                int sta = i;
                int end = -1;
                for(int j=i; j<=l1-1&&x<=l3-1; j++)
                {
                    if(s1[j]==s3[x])
                    {
                        x++;
                    }
                    if(x==l3)
                    {
                        end = j;
                    }
                }
                if(end==-1)
                {
                    continue;
                }
                a[Top1].sta = sta;
                a[Top1++].end = end;
            }
        }
        for(int i=0; i<=l2-1; i++)
        {
            if(s2[i]==s3[0])
            {
                int x = 0;
                int sta = i;
                int end = -1;
                for(int j=i; j<=l2-1&&x<=l3-1; j++)
                {
                    if(s2[j]==s3[x])
                    {
                        x++;
                    }
                    if(x==l3)
                    {
                        end = j;
                    }
                }
                if(end==-1)
                {
                    continue;
                }
                b[Top2].sta = sta;
                b[Top2++].end = end;
            }
        }
        int res = l3,Max=0;
        for(int i=0; i<=Top1-1; i++)
        {
            for(int j=0; j<=Top2-1; j++)
            {
                int x1 = a[i].sta;
                int y1 = a[i].end;
                int x2 = b[j].sta;
                int y2 = b[j].end;
                int k1 = 0;
                if(x1>0&&x2>0)
                {
                    k1 = num1[x1-1][x2-1];
                }
                int k2 = 0;
                if(y1<l1-1&&y2<l2-1)
                {
                    k2 = num2[l1-2-y1][l2-2-y2];
                }
                Max = max(Max,res+k2+k1);
            }
        }
        printf("Case #%d: %d\n",tem++,Max);
    }
    return 0;
}
void get(int (*p)[N],string ch1,string ch2)
{
    int l1 = ch1.size();
    int l2 = ch2.size();
    memset(p,0,sizeof(p));
    for(int i=0; i<=l1-1; i++)
    {
        for(int j=0; j<=l2-1; j++)
        {
            if(i==0&&j==0)
            {
                if(ch1[i]==ch2[j])
                {
                    p[i][j] = 1;
                }
            }
            else if(i==0&&j!=0)
            {
                if(ch1[i]==ch2[j])
                {
                    p[i][j] = 1;
                }
                else
                {
                    p[i][j] = p[i][j-1];
                }
            }
            else if(i!=0&&j==0)
            {
                if(ch1[i]==ch2[j])
                {
                    p[i][j] = 1;
                }
                else
                {
                    p[i][j] = p[i-1][j];
                }
            }
            else
            {
                if(ch1[i]==ch2[j])
                {
                    p[i][j] = p[i-1][j-1]+1;
                }
                else
                {
                    p[i][j] = max(p[i][j-1],p[i-1][j]);
                }
            }
        }
    }
}