# Solving Leetcode Interviews in Seconds with AI: Construct the Rectangle


	# Introduction
	In this blog post, we will explore how to solve the LeetCode problem "492" using AI. LeetCode is a popular platform for preparing for coding interviews, and with the help of AI tools like [Chatmagic](https://www.chatmagic.app), we can generate solutions quickly and efficiently - helping you pass the interviews and get the job offer without having to study for months.

	# Problem Statement
	> A web developer needs to know how to design a web page's size. So, given a specific rectangular web page’s area, your job by now is to design a rectangular web page, whose length L and width W satisfy the following requirements:  The area of the rectangular web page you designed must equal to the given target area. The width W should not be larger than the length L, which means L >= W. The difference between length L and width W should be as small as possible.  Return an array [L, W] where L and W are the length and width of the web page you designed in sequence.   Example 1:  Input: area = 4 Output: [2,2] Explanation: The target area is 4, and all the possible ways to construct it are [1,4], [2,2], [4,1].  But according to requirement 2, [1,4] is illegal; according to requirement 3,  [4,1] is not optimal compared to [2,2]. So the length L is 2, and the width W is 2.  Example 2:  Input: area = 37 Output: [37,1]  Example 3:  Input: area = 122122 Output: [427,286]    Constraints:  1 <= area <= 107  

	# Explanation
	Here's the breakdown of the solution:

*   **Start from the middle:** Begin checking for factors of the area from the square root down. This ensures that we find the pair of factors that are closest together first.
*   **Check for factors:** Iterate downwards from the integer square root of the area. If `i` is a factor, then `area / i` is also a factor.
*   **Return the factors:** As soon as a factor is found, the factors are length and width and satisfy the conditions.

*   **Runtime Complexity:** O(sqrt(area)), **Storage Complexity:** O(1)

	
	# Code
	```python
	import math

def constructRectangle(area: int) -> list[int]:
    """
    Designs a rectangular web page with the given area, minimizing the difference
    between length and width.

    Args:
        area: The target area of the web page.

    Returns:
        A list [L, W] representing the length and width of the web page.
    """

    w = int(math.sqrt(area))
    while area % w != 0:
        w -= 1
    return [area // w, w]
	```