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:
#input
s = input()
t = input()

#output
m = len(s)
n = len(t)
dp = [[0]*(m+1) for _ in range(n+1)]

for i in range(n):
    for j in range(m):
        if t[i] == s[j]:
            dp[i+1][j+1] = dp[i][j]+1
        else:
            dp[i+1][j+1] = max(dp[i][j+1], dp[i+1][j])

ans = ""
while m > 0 and n > 0:
    if dp[n][m] == dp[n-1][m]:
        n -= 1
    elif dp[n][m] == dp[n][m-1]:
        m -= 1
    elif dp[n][m] == dp[n-1][m-1] + 1:
        ans += t[n-1]
        n -= 1
        m -= 1

print(ans[::-1])