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()
dp=[ [0]*(len(T)+1) for i in range(len(S)+1) ]
for i in range(len(S)):
  for j in range(len(T)):
    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] )

i=len(S)
j=len(T)
ans=''
while(i>0 and j>0):
  if dp[i][j]==dp[i-1][j]:
    i-=1
  elif dp[i][j]==dp[i][j-1]:
    j-=1
  else:
    ans=S[i-1]+ans
    i-=1
    j-=1
print(ans)