leetcode/java/492_Construct_the_Rectangle.java at master · cphysics/leetcode

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

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.

Width must be <= sqrt(area). Decrement width from this value until divides area.

Time - O(sqrt(n))

Space - O(1)

public class Solution {

public int[] constructRectangle(int area) {

int width = (int) Math.sqrt(area);

while (area % width != 0)

--width;

return new int[] {area / width, width};

}