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 for _ in range(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],dp[i+1][j+1])
ans=''
while n*m:
  if s[n-1]==t[m-1]:
    ans+=s[n-1]
    n-=1
    m-=1
  else:
    if dp[n-1][m]>dp[n][m-1]:n-=1
    else:m-=1
print(ans[::-1])