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Stealth Night is a puzzle in Professor Layton and the Miracle Mask.

Puzzle

Five police officers have been tasked with the security of a 64-seat theater. Each officer can see all the seats directly in front of him, behind him, to his left and right, and at 45-degree diagonals.

The seating arrangement shown above would let the five officers cover the whole of the theater. However, all but the fourth row of seats have already been booked. With one officer already sitting in seat 4-A, where should the others sit to cover the whole theater?

Hints




Click a Tab to reveal the Hint.

Using the Memo Function, place an officer in any free seat in the fourth row and work out which seats are covered and which aren't.

Using the Memo Function, draw lines extending horizontally, vertically, and diagonally from seat 4-A. Now decide where to place the next officer so that as many as the remaining seats as possible are covered.

Did you place an officer in 4-F? Make sure to mark all the seats covered from there.

Now how about 4-E? It's right next to 4-F, but it covers a lot of the remaining seats.

We've got a lot of the theater covered, so now let's find the two remaining seats that will cover the whole place.

Try 4-G. If you draw lines as before, you should find that there are only six seats not covered by any officer.

Where should the last officer go to cover these seats? Easy!


Solution

Incorrect

Too bad.

Don't just guess--try to find the answer through logic.

Correct

Correct!

This arrangement will cover the whole theater. Now the show can go on in safety!

A big thanks to http://www.youtube.com/user/LaytonKyouju

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