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()
dp = [[0]*(len(s)+1) for i in range(len(t)+1)]
for i in range(1,len(t)+1):
    for j in range(1,len(s)+1):
        if t[i-1] == s[j-1]:
            dp[i][j] = dp[i-1][j-1] + 1
        else:
            dp[i][j] = max(dp[i-1][j], dp[i][j-1])
ans = ""
i = len(t)
j = len(s)
while i != 0 and j != 0:
    if t[i-1] == s[j-1]:
        ans = t[i-1] + ans
        i -= 1
        j -= 1
    elif dp[i-1][j] < dp[i][j-1]:
        j -= 1
    else:
        i -= 1
print(ans)