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 _ in range(len(s)+1)]

for i in range(1,len(s)+1):
  for j in range(1,len(t)+1):
    if s[i-1] == t[j-1]: dp[i][j] = dp[i-1][j-1]+1
    else: dp[i][j] = max(dp[i-1][j],dp[i][j-1])
      
i, j = len(s), len(t)
f = ""

while((i>0) & (j>0)):
  if dp[i][j] == dp[i-1][j]: i -= 1
  elif dp[i][j] == dp[i][j-1]: j -= 1
  else :
    f += s[i-1]
    i -= 1
    j -= 1
  
print(f[::-1])