#
# 代码中的类名、方法名、参数名已经指定,请勿修改,直接返回方法规定的值即可
#
# longest common subsequence
# @param s1 string字符串 the string
# @param s2 string字符串 the string
# @return string字符串
#
class Solution:
def LCS(self , s1: str, s2: str) -> str:
# write code here
m, n = len(s1), len(s2)
dp = [[0] * (1 + n) for _ in range(1 + m)]
for i in range(1,m+1):
for j in range(1, n+1):
if s1[i-1] == s2[j-1]:
dp[i][j] = dp[i-1][j-1] +1
else:
dp[i][j] = max(dp[i-1][j],dp[i][j-1])
s= []
i,j = m,n
while dp[i][j] !=0:
if dp[i][j] == dp[i-1][j]:
i -=1
elif dp[i][j] == dp[i][j-1]:
j-=1
else:
i=i-1
j=j-1
s.append(s1[i])
if s is None or s == []:
return "-1"
else:
res = ''.join(s)
return res[::-1]