LeetCode——010

/*
 题目:
 10. Regular Expression Matching My Submissions QuestionEditorial Solution
Total Accepted: 77160 Total Submissions: 352286 Difficulty: Hard
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
*/
/* 解题思路:
需要用递归Recursion来解,大概思路如下:

- 若p为空,若s也为空,返回true,反之返回false

- 若p的长度为1,若s长度也为1,且相同或是p为'.'则返回true,反之返回false

- 若p的第二个字符不为*,若此时s为空返回false,否则判断首字符是否匹配,且从各自的第二个字符开始调用递归函数匹配

- 若p的第二个字符为*,若s不为空且字符匹配,调用递归函数匹配s和去掉前两个字符的p,若匹配返回true,否则s去掉首字母

- 返回调用递归函数匹配s和去掉前两个字符的p的结果
*/

代码如下:

class Solution {
public:
    bool isMatch(string s, string p) {

         if(p.empty())return s.empty();
         if(p.size()==1) {
           return (s.size()==1 && (s[0]==p[0]||p[0]=='.'));   
         }

         if(p[1]!='*'){
             if(s.empty())return false;
             return (s[0]==p[0]||p[0]=='.')&&isMatch(s.substr(1),p.substr(1));

         }
         while(!s.empty()&&(s[0]==p[0]||p[0]=='.')){

             if(isMatch(s,p.substr(2)))return true;
             s=s.substr(1);
         }
         return isMatch(s,p.substr(2));
    }
};

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