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:
import sys

input=sys.stdin.readline
s=input()
t=input()
n,m=len(s),len(t)

dp=[[0]*(m+1) for i in range(n+1)]
ans=[]

for i in range(n):
  for j in range(m):
    if s[i]!=t[j]:
      dp[i+1][j+1]=max(dp[i+1][j],dp[i][j+1])
    else:
      dp[i+1][j+1]=dp[i][j]+1
      
i,j=n,m      
while i>0 and j>0:
  if s[i-1]==t[j-1]:
    ans.append(s[i-1])
    i-=1
    j-=1
  elif dp[i][j]==dp[i-1][j]:
    i-=1
  else:
    j-=1
print(''.join(ans[::-1]))