or 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:

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

public class Solution {
    public int[] constructRectangle(int area) {
        int[] result = new int[2];
        for(int i= (int) Math.sqrt(area);i >=1;i--){
            if(area%i==0){
                result[0] = i;
                result[1] = area/i;
                break;
            }
        }
        int temp = result[0];
        if(result[0] < result[1]){
            result[0] = result[1];
            result[1] = temp;
        }

        return result;
    }
}

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