Verify Matching Brackets in a Mathematical Expression

Implement a function to verify whether brackets in a mathematical expression are properly matched. Rules: The string s contains digits/letters/spaces/operators + - * / ^ and brackets ()[]{}. Brackets must be paired, type-matching, and properly nested (e.g., ([)] is invalid). Ignore all non-bracket characters. Input (stdin): one line string s Output (stdout): true or false Constraints: 1 <= len(s) <= 2e5. Example Input (1 + 2) * [3 + {4/2}] Output true