## Task 3 - 270823

A tournament in a chess group (AG "Schach") is reported: The tournament was played in several rounds. In each round, each group member played exactly one game against every other member. In this way, a total of 112 games were played in the tournament. More than two members participated.

Investigate whether a tournament is possible that meets these conditions, and whether the number of rounds and the number of participants can be uniquely determined from the given information! If this is the case, determine these numbers!