Puzzles

After a certain recent figure skating competition, the Hungarian judge was found crushed under a Zamboni. The list of suspects in his death has been narrowed to the five skaters who competed that day. The following facts have been determined; can you find the killer?

Every skater who got high marks from the Russian judge and low marks from the Italian judge got high marks from the Greek judge.
Every skater who got high marks from the Russian judge and low marks from the Norwegian judge got high marks from the French judge.
Every skater who got high marks from the Norwegian judge and low marks from the French judge got low marks from the Greek judge.
Every skater who got high marks from both the Italian and Norwegian judges got low marks from the Russian judge.
Every skater who got low marks from the Greek judge got high marks from either the Russian or the Hungarian judge, or both.
Every skater who got low marks from the Hungarian judge got high marks from either the Norwegian or the Greek judge, or both.
No skater who got high marks from both the French and Greek judges got low marks from the Hungarian judge.
No skater who got high marks from both the French and Italian judges got high marks from the Greek judge.

Every judge gave either high marks or low marks to every skater, but not both. Which of these skaters iced the Hungarian judge because he gave her low marks?

Alexa, who got high marks from the Norwegian and Greek judges
Brenda, who got high marks from the French and Russian judges
Carmen, who got high marks from the Greek and Italian judges
Diana, who got high marks from the Italian and Norwegian judges
Ethel, who got high marks from the Russian and Greek judges

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