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]