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Multiply Strings

1. Given two non-negative integers num1 and num2 represented as strings. 2. Return the product of num1 and num2, also represented as a string. 3. Note: You must not use any built-in BigInteger library or convert the inputs to integer directly.

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Multiply Strings

easy

1. Given two non-negative integers num1 and num2 represented as strings. 2. Return the product of num1 and num2, also represented as a string. 3. Note: You must not use any built-in BigInteger library or convert the inputs to integer directly.

Constraints

1. 1 <= num1.length, num2.length <= 200 2. num1 and num2 consist of digits only. 3. Both num1 and num2 do not contain any leading zero, except the number 0 itself.

Format

Input

Input: num1 = "123", num2 = "456"

Output

Output: "56088"

Example

Sample Input

123 456

Sample Output

56088

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