How hard is LeetCode 628. Maximum Product of Three Numbers?

LeetCode 628. Maximum Product of Three Numbers is rated Easy on LeetCode.

What is the time complexity of LeetCode 628. Maximum Product of Three Numbers?

The Python solution on this page runs in O(n \times \log n).

What is the space complexity of LeetCode 628. Maximum Product of Three Numbers?

The Python solution on this page uses O(\log n) auxiliary space.

What topics does LeetCode 628. Maximum Product of Three Numbers cover?

LeetCode 628. Maximum Product of Three Numbers is tagged Array, Math and Sorting on LeetCode.

Maximum Product of Three Numbers — LeetCode 628 Python Solution

EasyArrayMathSorting

Problem: #628
Pattern: Sorting
Reading time: 2 min
Source: leetcode.com

The problem

Given an integer array nums, find three numbers whose product is maximum and return the maximum product.

Example

Input: nums = [1,2,3]
Output: 6

Python solution

Python

class Solution:
    def maximumProduct(self, nums: List[int]) -> int:
        nums.sort()
        a = nums[-1] * nums[-2] * nums[-3]
        b = nums[-1] * nums[0] * nums[1]
        return max(a, b)

Complexity

Measure	Complexity
Time	O(n \times \log n)
Space	O(\log n) auxiliary

Pattern: Sorting

Spend O(n log n) once to buy an ordering that makes the rest of the problem trivial. LeetCode 628. Maximum Product of Three Numbers is filed here because LeetCode tags it Sorting, which is the vocabulary this hub collects.

The sorting guide has the Python template for the pattern and the 401 LeetCode problems that use it.

Frequently asked questions

How hard is LeetCode 628. Maximum Product of Three Numbers?: LeetCode 628. Maximum Product of Three Numbers is rated Easy on LeetCode.
What is the time complexity of LeetCode 628. Maximum Product of Three Numbers?: The Python solution on this page runs in O(n \times \log n).
What is the space complexity of LeetCode 628. Maximum Product of Three Numbers?: The Python solution on this page uses O(\log n) auxiliary space.
What topics does LeetCode 628. Maximum Product of Three Numbers cover?: LeetCode 628. Maximum Product of Three Numbers is tagged Array, Math and Sorting on LeetCode.