54.Finding Just the Fastest Horse
★★★puzzlesCitadel Securities
You have 25 horses and a track that races exactly 5 at a time, reporting only the finishing order. Every horse runs at a consistent speed and there are no ties. What is the minimum number of races needed to identify the single fastest horse?
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Every horse except the overall winner must lose at least one race. How few races can deliver 24 distinct losers?
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