2177. Find Three Consecutive Integers That Sum to a Given Number

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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

Hints

Hint 1
Notice that if a solution exists, we can represent them as x-1, x, x+1. What does this tell us about the number?
Hint 2
Notice the sum of the numbers will be 3x. Can you solve for x?

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