ConstructTheRectangle.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.

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.

Note:
The given area won't exceed 10,000,000 and is a positive integer
The web page's width and length you designed must be positive integers.

*/

class ConstrcutTheRectangle {
    public int[] constructRectangle(int area) {
        assert(area > 0);
        int w = (int) Math.sqrt(area);
        while (area % w != 0) w--;
        return new int[] { area / w, w };
    }
}