find_three_consecutive_integers_that_sum_to_a_given_number.py

# 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.

class Solution:
    def sumOfThree(self, num: int) -> List[int]:
        results = []
        mid = num//3
        if 3*mid == num:
            results.append(mid-1)
            results.append(mid)
            results.append(mid+1)
        
        return results