Problem: You are given strings s and t. Find one longest string that is a subsequence of both s and t.

Constraints

* s and t are strings consisting of lowercase English letters.
* 1 \leq |s|, |t| \leq 3000

Input

Input is given from Standard Input in the following format:


s
t


Output

Print one longest string that is a subsequence of both s and t. If there are multiple such strings, any of them will be accepted.

Examples

Input

axyb
abyxb


Output

axb


Input

aa
xayaz


Output

aa


Input

a
z


Output




Input

abracadabra
avadakedavra


Output

aaadara

Solution (in CPP):

Solution:
#include "bits/stdc++.h"
using namespace std;
string s, t, ans; int dp[3002][3002];
int main(){
    cin >> s >> t;
    for(int i=1; i<=(int)s.size(); i++){
        for(int j=1; j<=(int)t.size(); j++){
            if(s[i-1] == t[j-1]) dp[i][j] = dp[i-1][j-1] + 1;
            else dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
        }
    }
    for(int i=(int)s.size(), j=(int)t.size(); i!=0 && j!=0; ){
        if(dp[i][j] == dp[i-1][j]) i --;
        else if(dp[i][j] == dp[i][j-1]) j--;
        else { ans.push_back(s[i-1]); i--; j--; }
    }
    reverse(ans.begin(), ans.end());
    cout << ans << endl;
}