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(1,len(dp)):
    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])
out=''
i=len(s)
j=len(t)
while i!=0 and j!=0:
    if s[i-1]==t[j-1]:
        out+=s[i-1]
        i-=1
        j-=1
    elif dp[i][j-1]>dp[i-1][j]:
        j-=1
    else:
        i-=1
print(out[::-1])