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Bebras 2021 - Level 3 Question 5

BEBRAS · Bebras 2021 - Level 3

Question 5

The beavers are organising a chess tournament. In the picture below, arrows connect players who have played each other, in the direction **Winner → Loser.** For example, Emma beat Bob and Isaac beat Henry.

Question illustration

There is not enough time for every pair to play, so they agree to use the transitive rule. For example, if Bob beats Alice and Alice beats David, Bob is also considered to have beaten David without playing him. The champion is the player who beats every other beaver under these rules. Before finding the champion, the beavers play four more games, with the results shown below.

Question illustration

Who won the championship cup?
  1. Gerard
  2. Isaac
  3. Charlie
  4. Emma