Description

Given an input string s and a pattern p, implement wildcard pattern matching with support for '?' (matches any single character) and '*' (matches any sequence of characters including empty).

Examples

Input:s = "aa", p = "a"
Output:false
Explanation:

"a" does not match the entire string "aa".

Input:s = "aa", p = "*"
Output:true
Explanation:

"*" matches any sequence.

Input:s = "cb", p = "?a"
Output:false
Explanation:

"?" matches "c", but "a" does not match "b".

Constraints

  • 0 ≤ s.length, p.length ≤ 2000
  • s contains only lowercase English letters.
  • p contains only lowercase English letters, '?' or '*'.

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