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How Many Turns? is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

US Version

Chelmey sent his squad out to investigate an incident. Before leaving, he said this:

"I want you to search the entire area shown on this map. Take any route you want, but report how many times you turned in the process. You're free to turn left or right, but U-turns are strictly forbidden!"

The bobbies completed their shift and returned to report their turns. Judging by their reports, though, it seems at least one man wasn't telling the truth. Mark the liars with an X.

UK Version

Chelmey sent his squad out to investigate an incident. Before leaving, he said this:
"I want you to search the entire area shown on this map. Take any route you want, but report how many times you turned in the process. You're free to turn left or right, but U-turns are strictly forbidden!"

The bobbies completed their shift and returned to report their turns. Judging by their reports, though, it seems at least one man was loafing on the job. Touch the numbers you think are suspicious to mark them with an X.

Hints




Click a Tab to reveal the Hint.

US Version

If one of the bobbies had said he turned a total of 1,000 times during the course of his investigation, the inspector would have no reason to doubt the bobby was telling the truth.

UK Version

If one of the policemen had said he turned a total of 1,000 times during the course of his investigation, the inspector would have no reason to doubt the bobby was telling the truth.

With U-turns forbidden, there's a certain logic you should be able to find in all this confusion.

US Version

Leaving the station and turning an odd number of times, regardless of the number, will land you on a vertical street. Conversely, turn an even number of times after leaving the station, and you'll end up on a road that runs horizontally across the screen.

UK Version

Leaving the station and turning an odd number of times, regardless of the number, will land you on a vertical street. Conversely, turn an even number of times after leaving the station and you'll end up on a road that runs horizontally across the screen.


Solution

Incorrect

Too bad!

US Version

Think hard about the clues you've been given and try again.

UK Version

Think hard about the puzzle and try again.

Correct

Sharp thinking!

US Version

The two men who made 105 and 113 turns must have been goofing off. Since the men started out on a horizontal path, you can infer that if they turned an odd number of times, they'd end up on a vertical path. Conversely, if they made an even number of turns, they'd end up on a horizontal road.

Any bobby who did his job properly would have to turn an even number of times to get back to the station, which is at the end of a horizontal road.

UK Version

The two men who took 105 and 113 turns must have been slacking off. Since the men started out on a horizontal path, you can infer that if they turned an odd number of times, they'd end up on a vertical path. Conversely, if they made an even number of turns, they'd end up on a horizontal road.

Any bobby who did his job properly would have to turn an even number of times to get back to the station, which is at the end of a horizontal road.

DB111S

A big thanks to http://professorlayton2walkthrough.blogspot.com

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