[动态规划] leetcode 44 Wildcard Matching

problem:https://leetcode.com/problems/wildcard-matching/

        用记忆化搜索做的，不容易出错：

class Solution {
public:
    vector<vector<int>> dp;
    bool isMatch(const string& s, const string& p, int i, int j)
    {
        if(i >= s.size() && j >= p.size()) return true;
        if(j >= p.size()) return false;
        if(dp[i][j] != 2) return dp[i][j];
        if(i < s.size() && (s[i] == p[j] || p[j] == '?'))
        {
            return dp[i][j] = isMatch(s, p, i + 1, j + 1);
        }
        if(p[j] == '*')
        {
            for(int k = i; k <= s.size(); k++)
            {
                if(isMatch(s, p, k, j + 1)) return dp[i][j] = true;
            }
        }
        return dp[i][j] = false;
    }
    bool isMatch(string s, string p) {
        dp.resize(s.size() + 1, vector<int>(p.size() + 1, 2));
        return isMatch(s, p, 0, 0);
    }
};

 非递归：

class Solution {
public:
    vector<vector<bool>> dp;
    bool isMatch(string s, string p) {
        dp.resize(s.size() + 1, vector<bool>(p.size() + 1));
        
        dp[0][0] = true;
        for(int i = 1;i <= s.size();i++)
        {
            dp[i][0] = false;
        }
        for(int j = 0;j < p.size(); j++)
        {
            if(p[j] == '*') dp[0][j + 1] = true;
            else break;
        }
        for(int i = 0;i < s.size();i++)
        {
            for(int j = 0;j < p.size();j++)
            {
                if(p[j] == '*')
                {
                    dp[i + 1][j + 1] = dp[i + 1][j] || dp[i][j + 1];
                }
                else
                {
                    dp[i + 1][j + 1] = (s[i] == p[j] || p[j] == '?') && dp[i][j]; 
                }
            }
        }
        return dp[s.size()][p.size()];
    }
};