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,t=len(S),len(T)
#DPテーブル作成
dp=[[0]*(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
        else:
            dp[i+1][j+1] =  max([ dp[i+1][j] , dp[i][j+1] ])
# print(*dp,sep="\n")

res = ''
while s != 0 and t != 0:
    if dp[s][t] == dp[s-1][t]:
        s -= 1
    elif dp[s][t] == dp[s][t-1]:
        t -= 1
    else:
        s -= 1
        t -= 1
        res = S[s] + res

# print(dp[s][t])
print(res)