Task 1

You are given an implementation of a function:

function solution(A);

that, for a given array A of N integers, returns the smallest non-negative product of two elements of A (both elements must be from different positions in A).

Example

For A = [1, 4, 4], the function should return 4.

The attached code is still incorrect for some inputs. Despite the error(s), the code may produce a correct answer for some test cases.

Your task is to find and fix the bug(s) in the implementation. You can add or modify a maximum of two lines.

Assumptions

• N is an integer within the range [3..1,000].
• Each element of A is an integer within the range [-1,000..1,000].

Notes

• Focus on correctness in your solution.
• Performance is not the focus of the assessment.

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Task 2

You are given an array A of N positive integers.

Problem Statement

Consider the following operation:

• Remove one element from A and compute the product of all the remaining array elements.
• If there is only one element remaining in the array, the product is equal to that element.

For example, if A = [9, 16, 4], we can:

• Remove 9 and get a product equal to 16 * 4 = 64
• Remove 16 and get a product equal to 9 * 4 = 36
• Remove 4 and get a product of 9 * 16 = 144

As seen in the example above, the product might change depending on which element we remove.

Function Description

Write a function:

function solution(A);

that, given an array A of N integers, returns the number of different products that can be obtained by removing exactly one element from A.

Examples

1. Given A = [9, 16, 4], the function should return 3.
   • The achievable products are 64, 36, and 144.
2. Given A = [3, 4, 2, 3, 1], the function should return 4.
3. Given A = [1000000000, 1000000000], the function should return 1.

Constraints

Write an efficient algorithm to handle large input sizes.

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