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