dsa · easy

Construct the Rectangle

You need a rectangle whose area (length × width) equals area. Length L and width W are positive integers with L >= W. Among all such pairs, choose the one that minimizes L - W (the most square-like fit). Return [L, W].

Arguments

Example

area = 4. Possible pairs (L, W): (4, 1) difference 3, and (2, 2) difference 0. The closest pair is [2, 2].

area = 37 is prime, so the only pair is [37, 1].

Constraints

1 <= area <= 10^7

Examples

Example 1

Input:
4

Expected:
[2,2]

Example 2

Input:
37

Expected:
[37,1]

Open in the Dojo editor