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

'.' Matches any single character.​​​​
'*' Matches zero or more of the preceding element.

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 (.)".

  Constraints:

1 <= s.length <= 20
1 <= p.length <= 20
s contains only lowercase English letters.
p contains only lowercase English letters, '.', and '*'.
It is guaranteed for each appearance of the character '*', there will be a previous valid character to match.