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 s[j-1] == t[i-1]:
            dp[i][j] = max(dp[i-1][j-1] + 1, dp[i][j-1])
        else:
            dp[i][j] = max(dp[i][j-1], dp[i-1][j])

ans = ''
x = len(t)
y = len(s)
while x>0 and y>0:
    if dp[x][y] == dp[x-1][y]:
        x -= 1
    elif dp[x][y] == dp[x][y-1]:
        y -= 1
    else:
        ans += s[y-1]
        x -= 1
        y -= 1
print(ans[::-1])