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25 Horses and the Fastest 3

Mediumlogic

This Medium puzzle in the “logic” category rewards careful reading and step-by-step reasoning. Use the hint if you are stuck, then compare your approach with the explained answer.

You have 25 horses.

You can race only 5 horses at a time.

You do not have a stopwatch, so you only know the order of horses within each race.

What is the minimum number of races needed to determine the fastest 3 horses overall?

Preparing…