So each horse runs the given race in the exact same amount of time every time (individually, not collectively)? There exists absolutely zero overlap of +/- of average time between horses such that given the same two horses, horse one could beat horse two or just as easily vice versus? That’s the only way you can say the generalized solution holds. And once you realize that you understand how unrealistic the problem in general is. It’s just academic nonsense.
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So each horse runs the given race in the exact same amount of time every time (individually, not collectively)? There exists absolutely zero overlap of +/- of average time between horses such that given the same two horses, horse one could beat horse two or just as easily vice versus? That’s the only way you can say the generalized solution holds. And once you realize that you understand how unrealistic the problem in general is. It’s just academic nonsense.