10 Regular Expression Matching

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 {
public:
    bool isMatch(const char *s, const char *p) {
        if (*s=='\0')
        {
            while(strlen(p)>=2 && *(p+1)=='*')
                p+=2;
            return *p=='\0';
        }
        if (*p=='\0')
        {
            return *s=='\0';
        }
        if (strlen(p)==1)
            return (strlen(s)==1) && (*s==*p || *p=='.');
        if (*(p+1)!='*')
        {
            if (*s==*p || *p=='.')
                return isMatch(s+1,p+1);
            return false;
        }
        else
        {
            if (isMatch(s,p+2))
                return true;
            if (*s==*p || *p=='.')
                return isMatch(s+1,p);
            return false;
        }
    }
};