[Leetcode] 44. Wildcard Matching
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题目
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).
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”, “*”) ? true
isMatch(“aa”, “a*”) ? true
isMatch(“ab”, “?*”) ? true
isMatch(“aab”, “c*a*b”) ? false
字符串匹配,”?”任意一个字符,”*”0 个或者多个任意字符
参考leetcode 10 http://blog.csdn.net/neilooo/article/details/77284682
思路 DP
和leetcode 10 基本一样,情况还要简单些。
建立二维数组记录是否匹配,传递真值。
dp[i][j]含义是字符串s[0:i] p[0:j]是否匹配。
值传递情况:
- s[i] p[j]匹配,dp[i][j] = dp[i-1]][j-1]
- p[j] = “*”,dp[i][j] = dp[i-1][j] || dp[i][j-1]
传递dp[i][j-1]:*代表的字符数为0
传递dp[i-1][j]:*代表的字符数为 多个
dp二维数组 i,j=0,代表空串
对应s[i-1],p[j-1]才是字符串中的位置。
bool isMatch(string s, string p) { int rows = s.size() + 1; int cols = p.size() + 1; vector<vector<bool>> dp(rows, vector<bool>(cols, false)); dp[0][0] = true; for (int i = 1; i < rows; i++){ dp[i][0] = false; } for (int j = 1; j < cols; j++){ if (p[j-1] == '*') dp[0][j] = dp[0][j-1]; } for (int i = 1; i < rows; i++){ for (int j = 1; j < cols; j++){ if (p[j-1] == s[i-1] || p[j-1] == '?'){ dp[i][j] = dp[i-1][j-1]; } else if (p[j-1] == '*'){ dp[i][j] = dp[i-1][j] || dp[i][j-1]; } } } return dp[rows-1][cols-1]; }
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