>>14213405There are "wrong" moves that form isolated cliques that cannot have any more edges removed.
The criteria for an event is that A is friends with both B and C, but B and C are not friends.
>but B and C are not friendsYou can't reduce an isolated triangle. You can only reduce an isolated n-cycle down to an isolated 3-cycle.
You can't reduce an isolated clique.
Your argument doesn't convince me you can go all the way down to 550 pairs of friends.
