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Description

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

Solutions

Python3

class Solution:
    def sumOfThree(self, num: int) -> List[int]:
        a, b = divmod(num, 3)
        return [] if b else [a - 1, a, a + 1]

Java

class Solution {
    public long[] sumOfThree(long num) {
        if (num % 3 != 0) {
            return new long[] {};
        }
        long x = num / 3;
        return new long[] {x - 1, x, x + 1};
    }
}

C++

class Solution {
public:
    vector<long long> sumOfThree(long long num) {
        if (num % 3) return {};
        long long x = num / 3;
        return {x - 1, x, x + 1};
    }
};

Go

func sumOfThree(num int64) []int64 {
	if num%3 != 0 {
		return []int64{}
	}
	x := num / 3
	return []int64{x - 1, x, x + 1}
}

TypeScript

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