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RO-NMO 2007 Problem 82

  • Grade 8

In a building there are 6018 desks in 2007 rooms, and in every room there is at least one desk. Every room can be cleared dividing the desks in the oher rooms such that in every room is the same number of desks. Find out what methods can be used for dividing the desks initially.

Dataset text AI-MO AoPS. Quoted with source.

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