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()
dp = [[0 for _ in range(len(t)+1)] for _ in range(len(s)+1)]
for i in range(len(s)):
	for j in range(len(t)):
		if s[i] == t[j]:
			dp[i+1][j+1] = dp[i][j] + 1
		elif dp[i+1][j] >= dp[i][j+1]:
			dp[i+1][j+1] = dp[i+1][j]
		else:
			dp[i+1][j+1] = dp[i][j+1]

ans = ""

i, j = len(s), len(t)

while i > 0 and j > 0:
	#if dp[i][j] == dp[i-1][j-1] + 1:
	if s[i-1] == t[j-1]:
		ans += s[i-1]
		i, j = i-1, j-1
	elif dp[i][j-1] >= dp[i-1][j]:
		j -= 1
	else:
		i -= 1

print(ans[::-1])