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()
ls=len(s);lt=len(t)
dp=[[0]*(lt+1) for _ in range(ls+1)]
for i in range(ls):
  for j in range(lt):
    if s[i]==t[j]:
      dp[i+1][j+1]=dp[i][j]+1
    else:
      dp[i+1][j+1]=max(dp[i+1][j],dp[i][j+1])
ans=""
while ls and lt:
  if dp[ls][lt]==dp[ls-1][lt]:
    ls-=1
  elif dp[ls][lt]==dp[ls][lt-1]:
    lt-=1
  else:
    ls-=1;lt-=1
    ans+=s[ls]
print(ans[::-1])