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()
S = len(s)
T = len(t)
dp = [[0 for _ in range(T+1)] for _ in range(S+1)]
for i in range(S):
    for j in range(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][j + 1])
ans = ''
i = S
j = T
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)