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:
s1=input()
s2=input()
dp=[0]*(len(s1)+1)
dp[0]=[0]*(len(s2)+1)
for i in range(1,len(s1)+1):
	dp[i]=[0]*(len(s2)+1)
	for j in range(1,len(s2)+1):
		if s1[i-1]==s2[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 i in range(len(s1)+1):
# 	print(dp[i])
s=""
i,j=len(s1),len(s2)
while(i>0 and j>0):
	if s1[i-1]==s2[j-1]:
		s+=s1[i-1]
		i-=1
		j-=1
	elif dp[i][j-1]>dp[i-1][j]:
		j-=1
	else:
		i-=1
print(s[::-1])