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 a in range(3300)] for b in range(3300)]

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

        dp[i][j] = max(dp[i][j], dp[i-1][j], dp[i][j-1])

rewsna = ""

while n >= 0 and m >= 0:
    if dp[n][m] == dp[n-1][m]:
        n -= 1
    elif dp[n][m] == dp[n][m-1]:
        m -= 1
    else:
        rewsna += s[n-1]
        n -= 1
        m -= 1

print(rewsna[::-1])