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 PYTHON):

Solution:
import sys
sys.setrecursionlimit(10**7)
s=raw_input()
t=raw_input()

len_s=len(s)
len_t=len(t)

s="@"+s
t="_"+t


dp=[ [ 0 for j in range(len_t+1) ] for i in range(len_s+1)   ]
S=""
l=0

for i in range(1,len_s+1):
	for j in range(1,len_t+1):
		if s[i]==t[j]:
			dp[i][j]=dp[i-1][j-1]+1
		else:			
			dp[i][j]=max( dp[i-1][j] , dp[i][j-1] )


def lcs(i,j):
	ans=""
	if dp[i][j]==0:
		return ans
	else:
		if s[i]==t[j]:
			ans+=lcs( i-1, j -1)+s[i]
		else:
			if dp[i-1][j]>=dp[i][j-1]:
				ans+=lcs( i-1, j )
			else:
				ans+=lcs( i, j-1)
	return ans

print lcs(len_s, len_t)