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Logic Problem

Pika25

Smash Apprentice
Joined
Mar 18, 2008
Messages
175
Location
Texas
NNID
pika250
3DS FC
0173-1819-2264
Anyone on Smashboards a fan of logic problems? This one's a real doozy. (Is this even the correct forum to post this? After all it's about Smash Bros. for Wii U!)
Josh Wittenkeller (or “J-Wittz”) is a HUGE fan of Super Smash Bros. for Wii U. So much so, he likes to play as all the characters in a series of Smash matches, which he did for one week (Monday through Sunday). Each day, he took a different character to each of 7 matches, each of which lasted 15 minutes (whose starting times were 2:00, 2:15, 2:30, 2:45, 3:00, 3:15, and 3:30). Using this information and the clues that follow, can you determine which character Wittz chose on which day, at which time?
1. Mii and Villager were chosen on consecutive days, one of which is Friday, in either order, with Mii (who wasn't chosen at 2:00) exactly an hour before Villager (who wasn't chosen at 3:30).
2. None of the characters whose names start with F, L or M were chosen either Thursday or Friday.
3. None of the characters whose names start with P, R or S were chosen either Friday or Saturday.
4. Charizard was chosen at the same time as both Mario and Luigi, on three consecutive days.
5. Exactly two Mario reps and exactly three Pokémon reps were taken Friday. Jigglypuff was taken the day after Rosalina was taken, but the day before either Peach or Zelda, but not both. Jigglypuff and Rosalina were taken at 3:15 and 3:30 in some order. Pikachu was chosen either on the same day as or at least an hour before R.O.B., but not both.
6. Diddy Kong was taken exactly 15 minutes after Donkey Kong on the same day. Capt. Falcon and Olimar were taken at the same time, but not 3:00 (which is not the time Diddy Kong was chosen).
7. Kirby was taken exactly 15 minutes after Meta Knight on the same day.
8. Fox and Falco were taken on the same day, which is not the day both Luigi and Sonic were taken. Luigi was chosen exactly 15 minutes before Sonic. Fox was chosen exactly an hour before Falco.
9. Mario and Dr. Mario were taken the same day, at least two days either before or after the day both Wario and Yoshi were taken, which is not the day Peach was taken. Wario was taken an hour before Yoshi, who wasn't chosen at 3:30. Wario wasn't chosen at the same time as Samus. Dr. Mario wasn't chosen at the same time as Duck Hunt.
10. On the same day, Bowser was chosen at least an hour before Ganondorf. This is neither the day before nor the day after the day both Shulk and Wii Fit Trainer (but not Dark Pit) were chosen.
11. All four Fire Emblem reps were chosen on the same day: Marth at 2:00, Ike at 2:30, Robin at 3:00 and Lucina at 3:30; this isn't the day after Samus and Zero Suit Samus were taken, with Samus at least an hour before Zero Suit Samus. Samus was taken either two days before or two days after King Dedede.
12. None of the characters whose names contain either an F or a K were chosen Monday or Tuesday.
13. Dr. Mario, Dark Pit and Falco were chosen on three different days at three different times of day.
14. Either Fox or Falco, but not both, was chosen at the same time as both Greninja and either Zelda or Sheik, but not both. Sheik was chosen at the same time as either Ness or Olimar, but not both.
15. Either R.O.B. was chosen Thursday at 3:30 or Lucario was taken the day after Sheik, but not both.
16. Either Capt. Falcon was chosen the day after R.O.B. or Pikachu was chosen at 2:15, but not both.
17. Sonic and Bowser Jr. were chosen either on the same day or at the same time.
18. Either Lucario was taken the day after Peach and both were picked at 2:00 or Pac-Man was taken the day before both Shulk and Wii Fit Trainer, but not both. Shulk was taken exactly an hour before Wii Fit Trainer.
19. Dark Pit and Meta Knight were taken at the same time. Capt. Falcon and R.O.B. were not taken at the same time.
20. On the same day (but not Saturday), Link was taken exactly 15 minutes before Toon Link.
21. Pit was taken on the same day as and 15 minutes after either Dark Pit or Palutena and at the same time as the other.
22. On the same day, Mr. Game & Watch was chosen 30 minutes before Little Mac and 30 minutes after Mega Man.
Here's a starting hint: Use clues 1 and 2 to determine the day/time for Mii and Villager. Also, determine the three Pokémon reps chosen Friday. ("Reps" stands for franchise/universe representatives, like Ness from Earthbound.)
(If a clue says character X is taken N hour S minutes before/after character Y, that doesn't necessarily mean that X and Y are chosen on the same day unless either that clue or another set of clues says so.)
 
Last edited:

Pika25

Smash Apprentice
Joined
Mar 18, 2008
Messages
175
Location
Texas
NNID
pika250
3DS FC
0173-1819-2264
Solution:
Mii wasn't Fri. (2); Villager was (1). Mii wasn't Thurs. (2), so Sat. (1). Mii was 1 hour before Villager but Mii was not 2:00 and Villager wasn't 3:30 (1), so Mii was 2:15 and Villager 3:15. Neither Pikachu (3) nor Lucario (2) was among 3 Pokémon reps taken Fri. (5), so Charizard, Jigglypuff and Greninja. Jigglypuff wasn't 3:15 [Villager], so 3:30, and Rosalina was 3:15 Thurs. (5). Charizard, Mario and Luigi was 3 consecutive days (4), but Charizard Fri. and neither Mario nor Luigi Thurs. (2), so Sat. and Sun. Luigi is same day as Sonic (8), so not Sat. (3), so Sun., and Mario and Dr. Mario Sat. (9). Peach wasn't Sat. (3); Zelda was (5). Wario and Yoshi were same day before Fri. (9). Peach wasn't Fri. either (3), so the 2 Mario reps taken Fri. (5) were Bowser and Bowser Jr.; Ganondorf was Fri. 3:00, and Bowser 2:00 (10). 4 Fire Emblem reps were taken same day; Marth at 2:00, Ike at 2:30, Robin at 3:00, and Lucina at 3:30 (11); but not Thurs. (2), Sat. (3), Sun. [Sonic 15 min. after Luigi (8) so no room for Fire Emblem reps], Mon. or Tues. (12), so Wed. Fox and Falco were 1 hour apart on the same day but not Sun. (8), Thurs. (2), Sat. (13), Mon. or Tues. (12), so Wed. Fox was 2:15 and Falco 3:15 (8). Greninja was 2:15 (14). Zelda [Sat.] wasn't 2:15 [Mii]; Sheik was (14). Sheik wasn't Mon. or Tues. (12), so Thurs. or Sun. R.O.B. was 3:30 Thurs. (15), so Pikachu was 2:15 (16), but not Thurs. (5), Mon. or Tues. (12), so Sun. Sheik was Thurs. Bowser Jr. and Sonic were same time (17) so 2:45 and Charizard, Mario and Luigi 2:30 (4). There are exactly 14 characters with no F/K in the names [Peach, Yoshi, Wario, Lucario, Palutena, Pit, Samus, Zero Suit Samus, Ness, Little Mac, Olimar, Pac-Man, Mega Man, and Mr. Game & Watch] for Mon. and Tues. (12). Shulk and Wii Fit Trainer can't both be Wed., so Peach was Mon., Lucario Tues. (18). Wario was 2:15 Tues., Yoshi 3:15 Tues. (9). Samus wasn't 2:15 (9), so 2:30 Mon., Zero Suit Samus 3:30 Mon., King Dedede 2:45 Wed. (11). Shulk and Wii Fit Trainer were same day (10) exactly an hour apart (18), so not Thurs. or Sat. (10), so Sun. Shulk was 2:00, Wii Fit Trainer 3:00 (18). Olimar wasn't 2:15 Mon. [Capt. Falcon would also be 2:15 (6) but 7 already placed at that time]; Ness was (14). Dark Pit wasn't Sat. (13) or Sun. (10), so Thurs. Link and Toon Link were same day exactly 15 min. apart (20), so not Thurs. (2) or Sat. (20), so Sun. Link was 3:15, Toon Link 3:30 (20). Meta Knight and Kirby were same day exactly 15 min. apart (7), so not Thurs. (2), so Sat. Donkey Kong and Diddy Kong were same day exactly 15 min. apart (6), so Thurs. Diddy wasn't 3:00 (6), so 2:45 and DK 2:30 (6). Meta Knight wasn't 2:00 (7), so neither was Dark Pit (19); they were both 3:00 (19). Kirby was 3:15 (7). Capt. Falcon wasn't 2:00 Thurs. [Olimar would also be 2:00 Mon. [Peach] or Tues. [Lucario] (6)]; Duck Hunt was. Capt. Falcon was Sat., so wasn't 3:30 (19) or 2:00 [above], so 2:45. Dr. Mario wasn't 2:00 [Duck Hunt] (9); Zelda was, so Dr. Mario was 3:30. Olimar was 2:45 (6). Pit was 3:00, Palutena 2:45 the same day (21). Mega Man was 2:30, Mr. G&W 3:00, and Little Mac 3:30 all Tues. (22). Pit and Palutena was Mon., Olimar was Tues. [above]. Pac-Man was 3:15 Mon. In full summary:

Mon.: Peach 2:00, Ness 2:15, Samus 2:30, Palutena 2:45, Pit 3:00, Pac-Man 3:15, Zero Suit Samus 3:30
Tues.: Lucario 2:00, Wario 2:15, Mega Man 2:30, Olimar 2:45, Mr. Game & Watch 3:00, Yoshi 3:15, Little Mac 3:30
Wed.: Marth 2:00, Fox 2:15, Ike 2:30, King Dedede 2:45, Robin 3:00, Falco 3:15, Lucina 3:30
Thurs.: Duck Hunt 2:00, Sheik 2:15, Donkey Kong 2:30, Diddy Kong 2:45, Dark Pit 3:00, Rosalina 3:15, R.O.B. 3:30
Fri.: Bowser 2:00, Greninja 2:15, Charizard 2:30, Bowser Jr. 2:45, Ganondorf 3:00, Villager 3:15, Jigglypuff 3:30
Sat.: Zelda 2:00, Mii 2:15, Mario 2:30, Capt. Falcon 2:45, Meta Knight 3:00, Kirby 3:15, Dr. Mario 3:30
Sun.: Shulk 2:00, Pikachu 2:15, Luigi 2:30, Sonic 2:45, Wii Fit Trainer 3:00, Link 3:15, Toon Link 3:30
 

Kozmiic27

Smash Apprentice
Joined
Nov 10, 2014
Messages
101
Location
Yoshi's Story
Solution:
Mii wasn't Fri. (2); Villager was (1). Mii wasn't Thurs. (2), so Sat. (1). Mii was 1 hour before Villager but Mii was not 2:00 and Villager wasn't 3:30 (1), so Mii was 2:15 and Villager 3:15. Neither Pikachu (3) nor Lucario (2) was among 3 Pokémon reps taken Fri. (5), so Charizard, Jigglypuff and Greninja. Jigglypuff wasn't 3:15 [Villager], so 3:30, and Rosalina was 3:15 Thurs. (5). Charizard, Mario and Luigi was 3 consecutive days (4), but Charizard Fri. and neither Mario nor Luigi Thurs. (2), so Sat. and Sun. Luigi is same day as Sonic (8), so not Sat. (3), so Sun., and Mario and Dr. Mario Sat. (9). Peach wasn't Sat. (3); Zelda was (5). Wario and Yoshi were same day before Fri. (9). Peach wasn't Fri. either (3), so the 2 Mario reps taken Fri. (5) were Bowser and Bowser Jr.; Ganondorf was Fri. 3:00, and Bowser 2:00 (10). 4 Fire Emblem reps were taken same day; Marth at 2:00, Ike at 2:30, Robin at 3:00, and Lucina at 3:30 (11); but not Thurs. (2), Sat. (3), Sun. [Sonic 15 min. after Luigi (8) so no room for Fire Emblem reps], Mon. or Tues. (12), so Wed. Fox and Falco were 1 hour apart on the same day but not Sun. (8), Thurs. (2), Sat. (13), Mon. or Tues. (12), so Wed. Fox was 2:15 and Falco 3:15 (8). Greninja was 2:15 (14). Zelda [Sat.] wasn't 2:15 [Mii]; Sheik was (14). Sheik wasn't Mon. or Tues. (12), so Thurs. or Sun. R.O.B. was 3:30 Thurs. (15), so Pikachu was 2:15 (16), but not Thurs. (5), Mon. or Tues. (12), so Sun. Sheik was Thurs. Bowser Jr. and Sonic were same time (17) so 2:45 and Charizard, Mario and Luigi 2:30 (4). There are exactly 14 characters with no F/K in the names [Peach, Yoshi, Wario, Lucario, Palutena, Pit, Samus, Zero Suit Samus, Ness, Little Mac, Olimar, Pac-Man, Mega Man, and Mr. Game & Watch] for Mon. and Tues. (12). Shulk and Wii Fit Trainer can't both be Wed., so Peach was Mon., Lucario Tues. (18). Wario was 2:15 Tues., Yoshi 3:15 Tues. (9). Samus wasn't 2:15 (9), so 2:30 Mon., Zero Suit Samus 3:30 Mon., King Dedede 2:45 Wed. (11). Shulk and Wii Fit Trainer were same day (10) exactly an hour apart (18), so not Thurs. or Sat. (10), so Sun. Shulk was 2:00, Wii Fit Trainer 3:00 (18). Olimar wasn't 2:15 Mon. [Capt. Falcon would also be 2:15 (6) but 7 already placed at that time]; Ness was (14). Dark Pit wasn't Sat. (13) or Sun. (10), so Thurs. Link and Toon Link were same day exactly 15 min. apart (20), so not Thurs. (2) or Sat. (20), so Sun. Link was 3:15, Toon Link 3:30 (20). Meta Knight and Kirby were same day exactly 15 min. apart (7), so not Thurs. (2), so Sat. Donkey Kong and Diddy Kong were same day exactly 15 min. apart (6), so Thurs. Diddy wasn't 3:00 (6), so 2:45 and DK 2:30 (6). Meta Knight wasn't 2:00 (7), so neither was Dark Pit (19); they were both 3:00 (19). Kirby was 3:15 (7). Capt. Falcon wasn't 2:00 Thurs. [Olimar would also be 2:00 Mon. [Peach] or Tues. [Lucario] (6)]; Duck Hunt was. Capt. Falcon was Sat., so wasn't 3:30 (19) or 2:00 [above], so 2:45. Dr. Mario wasn't 2:00 [Duck Hunt] (9); Zelda was, so Dr. Mario was 3:30. Olimar was 2:45 (6). Pit was 3:00, Palutena 2:45 the same day (21). Mega Man was 2:30, Mr. G&W 3:00, and Little Mac 3:30 all Tues. (22). Pit and Palutena was Mon., Olimar was Tues. [above]. Pac-Man was 3:15 Mon. In full summary:

Mon.: Peach 2:00, Ness 2:15, Samus 2:30, Palutena 2:45, Pit 3:00, Pac-Man 3:15, Zero Suit Samus 3:30
Tues.: Lucario 2:00, Wario 2:15, Mega Man 2:30, Olimar 2:45, Mr. Game & Watch 3:00, Yoshi 3:15, Little Mac 3:30
Wed.: Marth 2:00, Fox 2:15, Ike 2:30, King Dedede 2:45, Robin 3:00, Falco 3:15, Lucina 3:30
Thurs.: Duck Hunt 2:00, Sheik 2:15, Donkey Kong 2:30, Diddy Kong 2:45, Dark Pit 3:00, Rosalina 3:15, R.O.B. 3:30
Fri.: Bowser 2:00, Greninja 2:15, Charizard 2:30, Bowser Jr. 2:45, Ganondorf 3:00, Villager 3:15, Jigglypuff 3:30
Sat.: Zelda 2:00, Mii 2:15, Mario 2:30, Capt. Falcon 2:45, Meta Knight 3:00, Kirby 3:15, Dr. Mario 3:30
Sun.: Shulk 2:00, Pikachu 2:15, Luigi 2:30, Sonic 2:45, Wii Fit Trainer 3:00, Link 3:15, Toon Link 3:30
Tldr, yoshi won
 
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