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Solution: Valid Square

Explore how to determine whether four points in 2D space form a valid square by computing squared distances between all pairs, sorting them, and checking if they meet the criteria for equal sides and equal diagonals. Understand the method to handle points in any order without calculating square roots.

Statement

Given the coordinates of four points P1P_1, P2P_2, P3P_3, and P4P_4 ...