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Closest Divisors

Given an integer num, find the closest two integers in absolute difference whose product equals num + 1 or num + 2.

Given an integer num, find the closest two integers in absolute difference whose product equals num + 1 or num + 2.

Return the two integers in any order.

Example 1

Input: num = 8

Output: [3,3]

Explanation: For num + 1 = 9, the closest divisors are 3 & 3, for num + 2 = 10, the closest divisors are 2 & 5, hence 3 & 3 is chosen.

Example 2

Input: num = 123

Output: [5,25]

Example 3

Input: num = 999

Output: [40,25]

Constraints

  • 1 <= num <= 10^9

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