n=7 players, N=10 games:
A plays B, C plays D.  assume A and C win by symmetry.
C plays E
IF C WINS, A plays F
  IF A WINS, A plays C
    IF A WINS, C plays G
      IF C WINS, A plays C 4 times (A wins ties)
      IF G WINS, A plays G
        IF A WINS, C plays G and winner plays A twice (A wins ties)
        IF G WINS, A plays G best-of-3
    IF C WINS, A plays G
      IF A WINS, A plays C 4 times (C wins ties)
      IF G WINS, C plays G
        IF C WINS, A plays G and winner plays C twice (C wins ties)
        IF G WINS, C plays G best-of-3
  IF F WINS, A plays G
    IF A WINS, A plays C
      IF A WINS, C plays F
        IF C WINS, A plays C
          IF A WINS, F plays A twice (A wins ties)
          IF C WINS, A plays C twice (C wins ties)
        IF F WINS, A plays F best-of-3
      IF C WINS, C plays F
        IF C WINS, A plays F and winner plays C twice (C wins ties)
        IF F WINS, C plays F best-of-3
    IF G WINS, C plays F
      IF C WINS, C plays G
        IF C WINS, F plays G and winner plays C twice (C wins ties)
        IF G WINS, C plays G best-of-3
      IF F WINS, C plays G and winner plays F best-of-3
IF E WINS, A plays E
  IF A WINS, C plays E, F plays G, winners play, and winner plays A best-of-3
  IF E WINS, A plays C, F plays G, winners play, and winner plays E best-of-3