Construct the Rectangle.java

/*
    For a web developer, it is very important 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:

    1. The area of the rectangular web page you designed must equal to the given target area.
    2. The width W should not be larger than the length L, which means L >= W.
    3. The difference between length L and width W should be as small as possible.

    You need to output the length L and the width W of the web page you designed in sequence.

    Link: https://leetcode.com/problems/construct-the-rectangle/

    Example: 

        Input: 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.

    Solution: None

    Source: https://discuss.leetcode.com/topic/76475/easy-to-understand-java-solution-beats-100
*/

public class Solution {
    public int[] constructRectangle(int area) {
        int[] result = new int[2];
        int minDiff = Integer.MAX_VALUE;
        
        for (int i = 1; Math.sqrt(area) - i >= 0; i++) {
            if (area % i == 0) {
                int j = area / i;
                
                // Update 
                if ((j - i) < minDiff) {
                    minDiff = j - i;
                    result[1] = i;
                    result[0] = j;
                }
            }
        }
        
        return result;
    }
}