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 for j in range(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
        dp[i+1][j+1]=max(dp[i+1][j+1],dp[i+1][j])
        dp[i+1][j+1]=max(dp[i+1][j+1],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)