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Hi !
Wouldn't the result for this input be 10 rather than 5 as all (n, n) coordinates are aligned with antennas T?
T.........
..........
..T.......
..........
..........
..........
..........
..........
..........
..........
I guess the difference comes by the fact that (dx, dy)are not coprime and with k = gcd(dx, dy), (dx/k, dy/k) should therefore be considered.
Reading the puzzle description I have not red anything preventing this situation to happen.
By the way, thanks for your work, having the solution helps a lot solving bugs 👍
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