KöMaL 2025 C1855
19 drones flew over enemy territory following the security protocol requiring the distances of all pairs of drones being different. Since the drones were hacked, they start to fire at each other: each one eliminates the drone that is the nearest to them. (We suppose that each drone managed to fire, the drones can be considered points, and the drones only explode after all the shots reached their goals.) Will there be a survivor among the drones? What is the maximum number of bullets a drone can be hit by from the same plane (that also contains the given drone)?
Official text KöMaL. Quoted with source.
Solutions
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