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,t = input(),input()

S = len(s)
T = len(t)

dp = [[0]*(T+1) for _ in range(S+1)]

for i in range(S):
    for j in range(T):
        dp[i+1][j+1] = max(dp[i][j+1],dp[i+1][j],dp[i][j]+(s[i]==t[j]))
    

ans = ''

while S > 0 and T > 0:
    if dp[S][T] == dp[S-1][T]: S -= 1
    elif dp[S][T] == dp[S][T-1]: T -= 1
    else: 
        S -= 1
        T -= 1
        ans = s[S] + ans
print(ans)