## Task 1 - 140721

Three students named Angelika, Beate, and Christine with the last names Müller, Naumann, and Richter participated in the alpha competition. The following is known about them:

(1) The student Naumann participated for the first time.

(2) The student Richter received a worse rating than at least one of the other students.

(3) The student Müller used only lined paper.

(4) Angelika achieved the worst result.

(5) Beate had already received the alpha badge the previous year.

(6) The most successful of the three students used only unlined paper.

Determine the first and last name of the most successful of the three students!
From (6), (3), and (2), it follows that neither the student Müller nor the student Richter achieved the best result. Consequently, the surname of the most successful student is Naumann. Due to (4), her first name is not Angelika, and due to (1) and (5), it is also not Beate. Therefore, her first name is Christine.

The most successful of the three students is named Christine Naumann.