class Solution {
public:
    /**
     * 代码中的类名、方法名、参数名已经指定,请勿修改,直接返回方法规定的值即可
     *
     * 
     * @param str string字符串 
     * @param pattern string字符串 
     * @return bool布尔型
     */
    bool match(string str, string pattern) {
        // write code here
        
        if(pattern.empty()){
            return str.empty();
        }
        
        int m = str.length(), n = pattern.length();
        vector<vector<bool>> dp(m+1, vector<bool>(n+1));
        dp[0][0] = true;
        
        for(int i=2; i<=n; i += 1){
            if(pattern[i-1] == '*'){
                dp[0][i] = dp[0][i-2];
            }
        }
        
        for(int i=1; i<=m; i++){
            for(int j=1; j<=n; j++){
                if(str[i-1] == pattern[j-1] || pattern[j-1] == '.'){
                    dp[i][j] = dp[i-1][j-1];
                }
                else if(pattern[j-1] == '*'){
                    if(dp[i][j-1]){
                        dp[i][j] = dp[i][j-1];
                    }
                    else if(j >= 2 && dp[i][j-2]){
                        dp[i][j] = dp[i][j-2];
                    }
                    else if(i >= 2 && j>=2){
                        dp[i][j] = (dp[i-1][j] && (str[i-1] == pattern[j-2] || pattern[j-2] == '.'));
                    }
                }
            }
        }
        return dp[m][n];
        
    }
};