Ezvor

1464. Maximum Product of Two Elements in an Array

EasyArray Preparing judge… LeetCode

You are given an array of integers nums.

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
ArraySortingHeap (Priority Queue)

Hints

Hint 1
Use brute force: two loops to select i and j, then select the maximum value of (nums[i]-1)*(nums[j]-1).