2017 schools participated in a big inter-school chess competition. Each school sent 2 participants.
The rules of the competition were:
i) Participants do not compete with each other for more than 1 game;
ii) Participants from the same school can not compete with each other.
After many rounds of the competition, it was known that every participant had
completed a different number of games except for participants from one of the 2017
schools which we call it School X. How many games had each of these 2 participants from the school X completed?
If there are 2 schools, I can work out that each of the school X participants played 1 game. Two players from another school play 0 and 2 games.
But I can not figure out 2017 schools.
