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()
n = len(s)
m = len(t)
dp = [[0 for _ in range(n+1)] for _ in range(m+1)]
for i in range(m):
    for j in range(n):
        if t[i] == s[j]:
            dp[i+1][j+1] = dp[i][j] + 1
        else:
            dp[i + 1][j + 1] = max(dp[i + 1][j], dp[i][j + 1])
ans = ''
while n != 0 and m != 0:
    if dp[m][n] == dp[m-1][n]:
        m -= 1
    elif dp[m][n] == dp[m][n-1]:
        n -= 1
    else:
        n -= 1
        m -= 1
        ans += s[n]
print(ans[::-1])