| From the introduction, Sam will watch fireworks in eight towns from Mt.
Franklin, the towns being due NW, N, NE, E, SE, S, SW, and W from his
vantage point. By clue 2, Sam can turn 90 degrees clockwise from the
4th of July lights in Henrytown to see the fireworks set off on the
Atlantic Pier in another town, then turn another 90 degrees clockwise
to watch the fireworks in Crab Point. By clue 6, if Sam is watching
the explosions in Seal Harbor, he can turn a full 180 degrees to watch
the fireworks in Plimouth; if he turns 45 degrees counterclockwise from
the Plimouth view, he will see the event held in Courthouse Square in
another island town. Since Courthouse Square isn't in Crab Point (clue
3) and Atlantic Pier isn't in Plimouth (10), combining clues 2 and 6
gives three possible arrangements. The first one is that Seal Harbor
is on the horizon between the town showing fireworks at Atlantic Pier
and Crab Harbor, with Plimouth then 45 and the town having its display
at Courthouse Square 90 degrees counterclockwise from Henrytown. However,
there is no way the three fireworks shows mentioned in clue 9--that
clockwise from Mt. Franklin, Tideside's, the town's whose display is at
Porpoise Park, and Fort Dudley's fireworks can be seen consecutively--can
fit into this arrangement. The second one is that Seal Harbor is 45 degrees
clockwise from Crab Point, with Plimouth then 45 degrees clockwise from
Henrytown, whose fireworks would be held at Courthouse Square. Again,
however, there is no way the three fireworks shows mentioned in clue 9
can fit into this arrangement. So, the third arrangement, that Atlantic
Pier is the location for Seal Harbor's fireworks, with the Plimouth show
90 and the Courthouse Square display 45 degrees clockwise from Crab
Point, remains. By clue 4, turning clockwise, Sam will see in consecutive
order the fireworks held at Marley Mall, the display in Clearhaven, and
the show at Whaler's Wharf. Combining clue 4 with clues 2 and 6, the
Marley Mall show is in either Crab Point or Plimouth. If it were in
Plimouth, with the Clearhaven fireworks then visible 45 degrees clockwise
and the show at Whaler's Wharf in Henrytown, by clue 9, Tideside would
lie between Seal Harbor and Crab Point on the horizon, with Crab Point's
annual display at Porpoise Park and Fort Dudley's at Courthouse Square.
By elimination, New Salem would lie between Henrytown and Seal Harbor
on the horizon from Mt. Franklin. However, this would put New Salem
and Fort Dudley 180 degrees apart--no (7). So, the Marley Mall display
is in Crab Point, with Clearhaven's fireworks at Courthouse Square and
Plimouth's at Whaler's Wharf (4). By clue 9, Sam will see Tideside's
fireworks on the horizon between Plimouth's and Henrytown's, with
Henrytown's display held at Porpoise Park and Fort Dudley's 45 degrees
clockwise from Henrytown's. By elimination, the New Salem show will be
visible between Seal Harbor's and Crab Point's. New Salem's display is
at Grove Stadium (1). By clue 5, the display held at the Dunes Country
Club in one town is due south of the fireworks at Cypress Beach. If
the Cypress Beach fireworks were in Fort Dudley and Tideside's at Dunes
Country Club, the Fort Dudley show would be to the NW from Mt. Franklin,
making the New Salem Grove Stadium display to the NE, a conflict with
clue 8. So, the Cypress Beach fireworks display is in Tideside and the
Dunes Country Club one in Fort Dudley. Tideside must be NE and Fort
Dudley SE of Mt. Franklin, so that going clockwise Henrytown is E, Seal
Harbor S, New Salem SW, Crab Point W, Clearhaven NW, and Plimouth N of
the vantage point. In sum, Sam will see the Liberty Island fireworks
displays tonight from Mt. Franklin as follows:
- NW -- Clearhaven at Courthouse Square
- N -- Plimouth at Whaler's Wharf
- NE -- Tideside at Cypress Beach
- E -- Henrytown at Porpoise Park
- SE -- Fort Dudley at Dunes Country Club
- S -- Seal Harbor at Atlantic Pier
- SW -- New Salem at Grove Stadium
- W -- Crab Point at Marley Mall
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