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Solution: Valid Square

Explore how to determine whether four points in 2D space form a valid square using fundamental geometric principles. Learn to calculate squared distances between points to identify equal sides and diagonals, and apply conditions to confirm the square's properties. This method avoids floating-point inaccuracies and runs in constant time.

Statement

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