Leetcode - Maximum Product of Two Elements in an Array Solution

Given the array of integers nums, you will choose two different indices i and j of that array. Return the maximum value of(nums[i]-1)*(nums[j]-1).

Example 1:

Input: nums = [3,4,5,2]
Output: 12 
Explanation: If you choose the indices i=1 and j=2 (indexed from 0), you will get the maximum value, that is, (nums[1]-1)*(nums[2]-1) = (4-1)*(5-1) = 3*4 = 12. 

Example 2:

Input: nums = [1,5,4,5]
Output: 16
Explanation: Choosing the indices i=1 and j=3 (indexed from 0), you will get the maximum value of (5-1)*(5-1) = 16.

Example 3:

Input: nums = [3,7]
Output: 12

Constraints:

  • 2 <= nums.length <= 500
  • 1 <= nums[i] <= 10^3

Solution in Python

class Solution:
    def maxProduct(self, nums: List[int]) -> int:
        x,y = sorted(nums)[-2:]
        return (x-1)*(y-1)

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