【面试题 & LeetCode 44】Wildcard Matching

题目描述

Given an input string (s) and a pattern §, implement wildcard pattern matching with support for ‘?’ and ‘*’.

‘?’ Matches any single character.
‘*’ Matches any sequence of characters (including the empty sequence).
The matching should cover the entire input string (not partial).

Note:

s could be empty and contains only lowercase letters a-z.
p could be empty and contains only lowercase letters a-z, and characters like ? or *.

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 = "*a*b"
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

思路

dfs超时
动态规划,注意初始化p字符串前边多个为*的情况。

代码

class Solution {
public:
    bool isMatch(string s, string p) {
        int n = s.length();
        int m = p.length();
        vector<vector<int>> dp(n+1, vector<int>(m+1, 0));
        
        dp[0][0] = 1;
        int st = 0;
        while(p[st] == '*') {
            dp[0][st+1] = 1;
            st++;
        }
        
        for (int i=1; i<=n; ++i) {
            for (int j=1; j<=m; ++j) {
                if (s[i-1] == p[j-1] || p[j-1] == '?') dp[i][j] |= dp[i-1][j-1];
                if (p[j-1] == '*') {
                    dp[i][j] |= dp[i-1][j-1];
                    dp[i][j] |= dp[i-1][j];
                    dp[i][j] |= dp[i][j-1];
                }
            }
        }
        
        return dp[n][m];
    }
};
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