Given an input string s and a pattern p, implement regular expression matching with support for '.' and '*' where:
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'.' Matches any single character.
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'*' 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".
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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".
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Example 3:
Input: s = "ab", p = ".*"
Output: true
Explanation: ".*" means "zero or more (*) of any character (.)".
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Constraints:
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1 <= s.length <= 20
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1 <= p.length <= 20
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s contains only lowercase English letters.
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p contains only lowercase English letters, '.', and '*'.
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It is guaranteed for each appearance of the character '*', there will be a previous valid character to match.