Logic Problem Solution:
State Football Playoffs
By clue 1, in one semifinal game, Ocean City walloped Winterhaven 3912,
so Ocean City played in the state championship game. Summerset was a
quarterfinal winner (5); and since Longreach won 3414 over the Comets
in one game (7), Longreach must have have met Summerset in the semifinals.
By clue 5, two of the semifinal teams were the Owls and Rough Riders.
Since the Eagles (3) and Hawks (9) also won games, they must be the
other two semifinal teams. The teams which lost quarterfinal games
are the Comets (3414 to Longreach, by clue 7), Pioneers, Spartans, and
Tigers. By clue 3, the Eagles total victory margin in game(s) they won
was 14 points; they can't be Ocean City (1) or Longreach (7) and aren't
Winterhaven (10). The Eagles are from Summerset. Long Reach can't be
the Hawks, since the Hawks win over Grove Corners had to be in the
quarterfinals and was by a 70 margin (9). Ocean City isn't the Hawks
(4); Winterhaven is, and they beat Grove Corners 70 in the
quarterfinals. Since the Spartans 21point loss (6) was in a
quarterfinal game, and since the Summerset Eagles total victory margin
was 14 points (3), the Spartans lost to Ocean City. The Pioneers did
not get shut out (11), so they aren't Grove Corners (9). The Pioneers
lost to Summerset in the quarterfinals. By elimination, Grove Corners
are the Tigers. Farmington lost in the quarterfinals by 6 points (2)
and thus aren't the Spartans (6) or Comets (7); they are the Pioneers.
Cozy Valley are the Comets (8) and Springhill the Spartans. Ocean City
are the Owls (13) and Longreach the Rough Riders. Since Summerset
defeated Farmington by 6 points and also had a 1point win (12), the
Summerset Eagles must have won a game by 7 points to total 14 points in
victory margin (3). Summerset therefore won three games and are state
AAA football champions, defeating Ocean City High in the final game.
The state football playoff results are as follows:
Quarterfinals:
 Summerset Eagles def. Farmington Pioneers
 Longreach Rough Riders def. Cozy Valley Comets
 Ocean City Owls def. Springhill Spartans
 Winterhaven Hawks def. Grove Corners Tigers
Semifinals:
 Summerset Eagles def. Longreach Rough Riders
 Ocean City Owls def. Winterhaven Hawks
Finals:
 Summerset Eagles def. Ocean City Owls

