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>
#define ll long long
using namespace std;
string s,t,jwb="";
ll dp[5000][5000];
ll f(ll n, ll m){
	if (n<0 || m<0) return 0;
	if(dp[n][m]!=-1)return dp[n][m];
	if (s[n]==t[m]){
		dp[n][m]=f(n-1,m-1)+1;
	}
	else{
		dp[n][m]=max(f(n-1,m),f(n,m-1));
	}
	return dp[n][m];
}
void rec(ll n, ll m){
	if(n<0 || m<0)return;
	if (s[n]==t[m]){
		jwb+=s[n];
		rec(n-1,m-1);
	}
	else{
		if(f(n-1,m)>=f(n,m-1))rec(n-1,m);
		else rec(n,m-1);
	}
}
int main(){
	cin >> s >> t;
	memset(dp,-1,sizeof dp);
	rec(s.size()-1, t.size()-1);
	reverse(jwb.begin(),jwb.end());
	cout << jwb << endl;
}//a