MediumNo. 2177
Find Three Consecutive Integers That Sum to a Given Number — LeetCode 2177 Python Solution
- Pattern
- Math and Number Theory
- Topics
- Math, Simulation
- Reading time
- 2 min
- Source
- leetcode.com
The problem
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
- Input
- num = 33
- Output
- [10,11,12]
- Explanation
- 33 can be expressed as 10 + 11 + 12 = 33.
Python solution
class Solution:
def sumOfThree(self, num: int) -> List[int]:
x, mod = divmod(num, 3)
return [] if mod else [x - 1, x, x + 1]Complexity
- Time
- O(1)
- Space · auxiliary
- O(1)
Pattern: Math and Number Theory
Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 2177. Find Three Consecutive Integers That Sum to a Given Number is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Math.
The math and number theory guide has the Python template for the pattern and the 485 LeetCode problems that use it.
Related problems
| No. | Problem | Difficulty |
|---|---|---|
| 2180 | Count Integers With Even Digit Sum | Easy |
| 2169 | Count Operations to Obtain Zero | Easy |
| 0043 | Multiply Strings | Medium |
| 0258 | Add Digits | Easy |
| 0412 | Fizz Buzz | Easy |
| 0415 | Add Strings | Easy |
Frequently asked questions
- How hard is LeetCode 2177. Find Three Consecutive Integers That Sum to a Given Number?
LeetCode 2177. Find Three Consecutive Integers That Sum to a Given Number is rated Medium on LeetCode.
- What is the time complexity of LeetCode 2177. Find Three Consecutive Integers That Sum to a Given Number?
The Python solution on this page runs in O(1).
- What is the space complexity of LeetCode 2177. Find Three Consecutive Integers That Sum to a Given Number?
The Python solution on this page uses O(1) auxiliary space.
- What topics does LeetCode 2177. Find Three Consecutive Integers That Sum to a Given Number cover?
LeetCode 2177. Find Three Consecutive Integers That Sum to a Given Number is tagged Math and Simulation on LeetCode.