HMMT 2005 U10
- Guts
- Answer
You are given a set of cards labeled from 1 to 100 . You wish to make piles of three cards such that in any pile, the number on one of the cards is the product of the numbers on the other two cards. However, no card can be in more than one pile. What is the maximum number of piles you can form at once?
Dataset text NuminaMath olympiads. Quoted with source.
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