At an event, \(m\) people met. Each of them is friends with exactly \(3\) other
people (if \(A\) is friends with \(B\), then \(B\) is friends with \(A\)). It is known
that among any three people one can find two who are not friends with each other.
Can it happen that (A) \(m=11\), (B) \(m=10\)?
Pasākumā satikās \(m\) cilvēki. Katrs no tiem draudzējas ar tieši \(3\)
citiem cilvēkiem (ja \(A\) draudzējas ar \(B\), tad \(B\) draudzējas ar \(A\)).
Zināms, ka no katriem trim cilvēkiem var atrast divus, kuri savā starpā
nedraudzējas. Vai var gadīties, ka (A) \(m=11\), (B) \(m=10\)?