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Asta, Bronya and Clara each say something about their numbers of cats, truthfully to anyone with fewer cats and falsely to anyone with more. How many cats does Asta have?

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Asta, Bronya and Clara have different numbers of cats. Bronya tells Clara 'You have the most cats'; Asta tells Bronya 'I have exactly 30% more cats than you'; Asta tells Clara 'Your number is the average of mine and Bronya's'; Clara tells Asta 'You have at least 4 more cats than me'. A speaker talking to someone with fewer cats tells the truth; to someone with more cats, lies. How many cats does Asta have?

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