OMCC 2021 Problem 4
- Day 2
There are people at a meeting. It is known that one person at the meeting doesn't have any friends there and another person has only one friend there. In addition, it is true that, given any people, at least of them are friends. Show that there are people at the meeting that are all friends with each other. *Note.*If is friend of then is a friend of .
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.