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AMO-Bench 2025 Problem 33

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An album contains 25 photos, each showing three people, subject to the following conditions: (1) In each photo, the person on the left is a full brother of the person in the middle, and the person on the right is the daughter of the person in the middle. (2) The person in the middle is different in each of the 25 photos. (3) No two people who appear in the album have a child in common. What is the minimum number of distinct people that must appear in this album?

Dataset text AMO-Bench. Open licence.

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