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,m = len(s),len(t)
dp = [[0]*3010 for i in range(3010)]
for i in range(n):
    for j in range(m):
        if s[i] == t[j]:
            dp[i+1][j+1]=max(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+1][j+1] = max(dp[i+1][j+1],dp[i][j+1])
#復元パート
res = ""
i,j = n,m
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:
        res = s[i-1]+res
        i -=1
        j -=1
print(res)