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, t = input(), input()
n, m = len(s), len(t)
dp = [[0]*-~m for _ in [0]*-~n]
for i in range(n):
  for j in range(m):
    dp[i+1][j+1] = dp[i][j] + 1 if s[i] == t[j] else max(dp[i][j+1], dp[i+1][j])
R = ""
while n and m:
  if   dp[n][m] == dp[n-1][m]:n -= 1
  elif dp[n][m] == dp[n][m-1]:m -= 1
  else:n -= 1;m -= 1;R = s[n] + R
print(R)