【LeetCode】492. Construct the Rectangle


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.


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.


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 Solution {
    vector<int> constructRectangle(int area) {
        for(int i=sqrt(area);i>0;i--){
                return {area/i,i};

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