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Achilles and Zeno were participating in a race where all contestants finished with different race-times. There...

Achilles and Zeno were participating in a race where all contestants finished with different race-times. There were three times as many contestants ahead of Achilles as behind him. There were four times as many contestants behind Zeno as in front of him. Less than half of the contestants were between Achilles and Zeno. How many people participated in the race?

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