LeetCode-in-All

10. Regular Expression Matching

Hard

Given an input string s and a pattern p, implement regular expression matching with support for '.' and '*' where:

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 = “a*”

Output: true

Explanation: ‘*’ means zero or more of the preceding element, ‘a’. Therefore, by repeating ‘a’ once, it becomes “aa”.

Example 3:

Input: s = “ab”, p = “.*”

Output: true

Explanation: “.*” means “zero or more (*) of any character (.)”.

Example 4:

Input: s = “aab”, p = “c*a*b”

Output: true

Explanation: c can be repeated 0 times, a can be repeated 1 time. Therefore, it matches “aab”.

Example 5:

Input: s = “mississippi”, p = “mis*is*p*.”

Output: false

Constraints:

Solution

func isMatch(s string, p string) bool {
	m, n := len(s), len(p)
	dp := make([][]bool, m+1)
	for i := 0; i <= m; i++ {
		dp[i] = make([]bool, n+1)
	}
	dp[0][0] = true
	for i := 1; i <= n; i++ {
		if p[i-1] == '*' {
			dp[0][i] = dp[0][i-2]
		}
	}
	for i := 1; i <= m; i++ {
		for j := 1; j <= n; j++ {
			switch {
			case p[j-1] == '.' || p[j-1] == s[i-1]:
				dp[i][j] = dp[i-1][j-1]
			case p[j-1] == '*':
				dp[i][j] = dp[i][j-2]
				if s[i-1] == p[j-2] || p[j-2] == '.' {
					dp[i][j] = dp[i][j] || dp[i-1][j]
				}
			}
		}
	}
	return dp[m][n]
}