Maximum Product of Two Elements in an Array

We can solve this problem by finding the two largest numbers in the given list.

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class Solution:
    def maxProduct(self, nums: List[int]) -> int:
        # Initialize two variables to store the two largest numbers
        max1 = max2 = float('-inf')

        # Go through each number in the list
        for num in nums:
            # If the current number is greater than max1, update both max1 and max2
            if num > max1:
                max2 = max1
                max1 = num
            # If the current number is between max1 and max2, update max2
            elif num > max2:
                max2 = num

        # Return the maximum product
        return (max1 - 1) * (max2 - 1)

In this function, max1 and max2 are initialized as negative infinity to ensure that they will be updated by any number in the list. The function then iterates through each number in the list. If the current number is greater than max1, both max1 and max2 are updated. If the current number is between max1 and max2, only max2 is updated. Finally, the function returns the product of max1 - 1 and max2 - 1, which is the maximum product we are looking for.