40. Multiply Strings

MediumMath

Given two non-negative integers num1 and num2 represented as strings, return the product of num1 and num2, also represented as a string. Note: You must not use any built-in BigInteger library or convert the inputs to integer directly.

Examples

Input: 2 3

Output: 6

Explanation: 2 × 3 = 6, computed digit-by-digit without built-in big-integer multiply.

Constraints

  • 1 <= num1.length, num2.length <= 200
  • num1 and num2 consist of digits only.
  • Both num1 and num2 do not contain any leading zero, except the number 0 itself.
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