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PAMO 2018 Problem 2

  • Day 1

A chess tournament is held with the participation of boys and girls. The girls are twice as many as boys. Each player plays against each other player exactly once. By the end of the tournament, there were no draws and the ratio of girl winnings to boy winnings was 79\frac{7}{9} .

How many players took part at the tournament?

Dataset text AI-MO AoPS. Quoted with source.

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