You’re writing a function that accepts an array of numbers and computes the highest product of any two numbers in the array. At first glance, this is easy, as we can just find the two greatest numbers and multiply them. However, our array can contain negative numbers and look like this: [5, -10, -6, 9, 4] We could use nested loops to multiply every possible pair of numbers, but this would take O(N^2) time. Your job is to optimize the function so that it’s a speedy O(N).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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You’re writing a function that accepts an array of numbers and computes the highest product of any two numbers in the array. At first glance, this is easy, as we can just find the two greatest numbers and multiply them. However, our array can contain negative numbers and look like this:

[5, -10, -6, 9, 4]

We could use nested loops to multiply every possible pair of numbers, but this would take O(N^2) time. Your job is to optimize the function so that it’s a speedy O(N).

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