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`