In the KCLMS speed chess competition involving both Y12 and Y13, there are nine more competitors from Y12 than from Y13. Each competitor must play every other competitor, and draws are not allowed – the game is replayed until someone has won. The winner of a game gets one point and the loser none.

In total the Y12 players gained nine times as many points between them as did the Y13 players.

Find the greatest possible score for a Y13 player.