## Task 3 - 340533

Annette, Bernd, Christiane, Dieter, and Ruth are playing the following game: the four children except Ruth agree that one of them will hide a letter and that each of these children will make three statements, at least two of which are true.

Ruth, who only knows these rules and the statements of the four, is supposed to find out who has the letter. One of the four children, Annette, Bernd, Christiane, or Dieter, came up with the game; they know who it was, but Ruth does not. The following statements are made:

Annette: I do not have the letter. Either Bernd has the letter, or Bernd does not have the letter. Christiane came up with the game.

Bernd: If I do not have the letter, then Dieter has it. I do not have the letter. Annette or Christiane or Dieter has the letter.

Christiane: Either Bernd or Dieter has the letter. Bernd made three true statements. Annette does not have the letter.

Dieter: If I do not have the letter, then Christiane has it. I do not have the letter. All three statements by Christiane are true.

Determine whether the rules and the statements uniquely determine who has the letter! If this is the case, name this player! Also, determine whether all statements comply with the rules if the letter is with the player you have identified!