593.

Valid Square

Medium

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 (90-degree angles). Example 1: Input: p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,1] Output: true Example 2: Input: p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,12] Output: false Example 3: Input: p1 = [1,0], p2 = [-1,0], p3 = [0,1], p4 = [0,-1] Output: true Constraints: p1.length == p2.length == p3.length == p4.length == 2 -104 <= xi, yi <= 104