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Seidon needs to take his seven cats to the vet for vaccination. Unfortunately, some cats do...

Seidon needs to take his seven cats to the vet for vaccination. Unfortunately, some cats do not like each other. Specifically, cat number 1 does not like cats number 2, 3 and 7; cat number 2 moreover does not like cats number 3, 5, 6 and 7; cat number 3 moreover does not like cats number 4 and 6: and cat number 4 does not like cats number 6 and 7 either. What is the minimal number of times Seidon has to go to the vet if at each time, he can only bring cats that all like each other?

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