## 492. Construct the Rectangle

A web developer needs 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:

- The area of the rectangular web page you designed must equal to the given target area.
- The width
`W`

should not be larger than the length`L`

, which means`L >= W`

. - The difference between length
`L`

and width`W`

should be as small as possible.

Return *an array [L, W] where L and W are the length and width of the web page you designed in sequence.*

**Example 1:**

Input:area = 4Output:[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.

**Example 2:**

Input:area = 37Output:[37,1]

**Example 3:**

Input:area = 122122Output:[427,286]

**Constraints:**

`1 <= area <= 10`

^{7}

## Rust Solution

```
struct Solution;
impl Solution {
fn construct_rectangle(area: i32) -> Vec<i32> {
let mut max = (area as f64).sqrt().floor() as i32;
while area % max != 0 {
max -= 1;
}
vec![area / max, max]
}
}
#[test]
fn test() {
assert_eq!(Solution::construct_rectangle(4), vec![2, 2]);
}
```

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