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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