Valid Square
Given the coordinates of four points in 2D space p1, p2, p3, and p4, return true if the four points construct a square.
The coordinate of a point pi is represented as [xi, yi]. The input is not given in any order.
A valid square has four equal sides with positive length and four equal angles, where each angle is 90 degrees.
Example 1
Input
p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,1]Output
trueThe four points form a square with side length 1.
Example 2
Input
p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,12]Output
falseThe four points do not form a square because the side lengths and angles are not all valid for a square.
Constraints
- p1.length == p2.length == p3.length == p4.length == 2
- -10^4 <= xi, yi <= 10^4