In a chess tournament, there are four groups of equal size. Each player plays once against own group, twice against one of remaining groups, three times against another, and four times against the last. If more than 1000 matches are played, the minim

Question

In a chess tournament, there are four groups of equal size. Each player plays once against own group, twice against one of remaining groups, three times against another, and four times against the last. If more than 1000 matches are played, the minimum possible number of players in each group is_______.