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The Task

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 (.)". q1