37. Football teams were holding a round-robin tournament. One of the fans of this game, returning from vacation, found the following situation: the total number of points scored by all teams was 44; one team, which scored the fewest points, received one point; the two teams occupying the first and second places scored the same number of points. How many teams are participating in the tournament and how many games do they still have to play?
37. Since $1+2+3+4+5+6+7+8+8=44$, there are 9 teams participating in the tournament. In total, they should score 72 points ( $8 \cdot 9=72$ ). Therefore, they still need to score 28 points $(72-44=28)$, which can be achieved in 14 games $(28: 2=14)$.