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 for _ in range(len(t)+1)] for _ in range(len(s)+1)]

for i in range(1, len(s)+1):
    for j in range(1, len(t)+1):
        if s[i-1] == t[j-1]:
            dp[i][j] = dp[i-1][j-1]+ 1
        else:
            dp[i][j] = max(dp[i-1][j], dp[i][j-1])
#print(dp)

str = ''
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:
        str = s[i-1] + str
        i -= 1
        j -= 1

print(str)