Implement regular expression matching with support for '.' and '*'.
'.' Matches any single character.
'*' Matches zero or more of the preceding element.
The matching should cover the entire input string (not partial).
The function prototype should be:
bool isMatch(const char *s, const char *p)
Some examples:
isMatch("aa","a") → false
isMatch("aa","aa") → true
isMatch("aaa","aa") → false
isMatch("aa", "a*") → true
isMatch("aa", ".*") → true
isMatch("ab", ".*") → true
isMatch("aab", "c*a*b") → true
class Solution(object):
def isMatch(self, s, p):
"""
:type s: str
:type p: str
:rtype: bool
"""
dp = [[False] * (len(p) + 1) for _ in range(len(s) + 1)]
dp[0][0] = True
for j in range(1, len(p) + 1):
if p[j - 1] == "*":
dp[0][j] = dp[0][j - 2]
for i in range(1, len(s) + 1):
for j in range(1, len(p) + 1):
if p[j - 1] != "*":
dp[i][j] = dp[i-1][j-1] and (s[i -1] == p[j - 1] or p[j - 1] == ".")
else:
dp[i][j] = dp[i][j - 2] or dp[i - 1][j] and (p[j - 2] == s[i - 1] or p[j - 2] == ".")
return dp[-1][-1]