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 PYTHON3):

Solution:
s=input()
t=input()
n=len(s)
m=len(t)
dp=[[0 for j in range(m+1)] for i in range(n+1)]
for i in range(1,n+1):
	for j in range(1,m+1):
		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])
i=n
j=m
st=""
while dp[i][j]:
	while dp[i-1][j]==dp[i][j]:
		i-=1
	while dp[i][j-1]==dp[i][j]:
		j=j-1
	j-=1
	st+=s[i-1]
	i-=1
print(st[::-1])