• [LeetCode 44.] 通配符匹配


    LeetCode 44. 通配符匹配

    一道简化版的正则表达式匹配题。

    题目描述

    Given an input string (s) and a pattern (p), implement wildcard pattern matching with support for '?' and '*' where:

    • '?' Matches any single character.
    • '*' Matches any sequence of characters (including the empty sequence).

    The matching should cover the entire input string (not partial).

    Example 1:

    Input: s = "aa", p = "a"
    Output: false
    Explanation: "a" does not match the entire string "aa".

    Example 2:

    Input: s = "aa", p = ""
    Output: true
    Explanation: '
    ' matches any sequence.

    Example 3:

    Input: s = "cb", p = "?a"
    Output: false
    Explanation: '?' matches 'c', but the second letter is 'a', which does not match 'b'.

    Example 4:

    Input: s = "adceb", p = "ab"
    Output: true
    Explanation: The first '' matches the empty sequence, while the second '' matches the substring "dce".

    Example 5:

    Input: s = "acdcb", p = "a*c?b"
    Output: false

    Constraints:

    • 0 <= s.length, p.length <= 2000
    • s contains only lowercase English letters.
    • p contains only lowercase English letters, '?' or '*'.

    解题思路

    这道题是对 LeetCode 10. 正则表达式匹配 的简化,区别在于:

    • 使用 '?' 代替正则表达式中的 '.'
    • 使用单个字符 '' 来匹配0个或任意多个字符,正则表达式是用 "a" / ".*" 两个字符才能匹配0个或多个字符。

    这就简化了题目,遇到 '' 的时候不用向前看一个字符了,可以直接原地匹配0个字符、1个字符、多个字符。本题的考点就在于 '' 匹配2个及以上字符的状态转移方程。

    先做这道题,在做正则表达式匹配的题,可能会更顺利一些。

    参考代码

    /*
     * @lc app=leetcode id=44 lang=cpp
     *
     * [44] Wildcard Matching
     */
    
    // @lc code=start
    class Solution {
    public:
        bool isMatch(string s, string p) {
            if (!s.empty() && p.empty()) return false;
    
            size_t ns = s.size(), np = p.size();
            vector<vector<bool>> dp(ns+1, vector<bool>(np+1));
            dp[0][0] = true;
            for (int i=1; i<=ns; i++) {
                dp[i][0] =false;
            }
            for (int j=1; j<=np; j++) {
                dp[0][j] = dp[0][j-1] && (p[j-1] == '*');
            }
    
            for (int i=1; i<=ns; i++) {
                for (int j=1; j<=np; j++) {
                    if (s[i-1] == p[j-1] || p[j-1] == '?') {
                        dp[i][j] = dp[i-1][j-1];
                    } else if (p[j-1] == '*') {
                        // match 0, 1, or n char
                        dp[i][j] = dp[i][j-1] || dp[i-1][j-1] || dp[i-1][j];
                    } else {
                        dp[i][j] = false;
                    }
                }
            }
            return dp[ns][np];
        } // AC
    };
    // @lc code=end
    
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  • 原文地址:https://www.cnblogs.com/zhcpku/p/14475519.html
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