Construct the Rectangle - Solution & Explanation

The brute force approach involves iterating over all possible width values starting from 1 up to the square root of the area. For each width that is a divisor of the area, calculate the length as area divided by this width. Since the width increases and we're calculating length from it, L >= W condition is inherently satisfied. The pair with the smallest difference between L and W is the result.

The solution starts by iterating from the square root of the area down to 1. For each potential width, it checks if it divides the area perfectly. If it does, it computes the corresponding length and returns the pair since it assures L >= W by starting from a high width and going down.

We optimize the brute force by reducing unnecessary checks. Instead of starting from a width value of 1, directly jump to sqrt(area) and move inwards. This ensures that we're only exploring potential dimensions that are likely close together, thereby reducing unnecessary loops. Utilize integer calculations which grant more consistent performance on larger numbers.

Improveys the initial search space by starting specifically at sqrt(area) and uses a decremental loop. This assures the detection of the closest dimension pair while reducing iteration count.