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 i 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+1][j],dp[i][j+1])
ans=''
while n>0 and m>0:
  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
    ans=S[n]+ans
print(ans)