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Find Three Consecutive Integers That Sum to a Given Number

Given an integer num, return three consecutive integers (as a sorted array) that sum to num.

Given an integer num, return three consecutive integers (as a sorted array) that sum to num. If num cannot be expressed as the sum of three consecutive integers, return an empty array.

Example 1

Input: num = 33

Output: [10,11,12]

Explanation: 33 can be expressed as 10 + 11 + 12 = 33. 10, 11, 12 are 3 consecutive integers, so we return [10, 11, 12].

Example 2

Input: num = 4

Output: []

Explanation: There is no way to express 4 as the sum of 3 consecutive integers.

Constraints

  • 0 <= num <= 1015

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