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Check Divisibility by Digit Sum and Product

You are given a positive integer n.

You are given a positive integer n. Determine whether n is divisible by the sum of the following two values:

Return true if n is divisible by this sum; otherwise, return false.

Example 1

Input: n = 99

Output: true

Explanation: Since 99 is divisible by the sum (9 + 9 = 18) plus product (9 * 9 = 81) of its digits (total 99), the output is true.

Example 2

Input: n = 23

Output: false

Explanation: Since 23 is not divisible by the sum (2 + 3 = 5) plus product (2 * 3 = 6) of its digits (total 11), the output is false.

Constraints

  • 1 <= n <= 10^6

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