Maximum Product of Two Elements in an Array

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

class Solution {
    public int maxProduct(int[] nums) {
        int max = Integer.MIN_VALUE, max2 = Integer.MIN_VALUE;
        for (int x : nums) {
            if (x > max) {
                max2 = max;
                max = x;
            } else if (x > max2)
                max2 = x;
        }
        return (max - 1) * (max2 - 1);
    }
}

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