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Around the Table is a puzzle in Professor Layton and the Unwound Future.

Puzzle

One day, King Arthur invited a number of honored guests to dine at his table of tables. Everyone took their seats at evenly spaced intervals from one another.

After sitting down, two lovely women in attendance, Guinevere and Nimue, were amused to find that neither of them saw a woman sitting left, right, or directly across the table.

What's the minimum number of people that could be sitting at the Round Table?

Hints




Click a Tab to reveal the Hint.

This puzzle isn't too difficult if you use the Memo function to draw a picture of the table and the people around it.

Neither Guinevere nor Nimue has a woman sitting left, right, or directly across the table from her. Of course, this doesn't mean there's a man in all of these locations, either.

First, picture a man sitting across from a woman. There are at least two women, so imagine another man and woman sitting across the table. That's four diners. Now place another man between two women and someone across from him. This arrangement fulfills the conditions!

Draw this image using the memo function to see for yourself. But, wait! Is this really the minimum number that will work? There must be a way to do it with less...

There's no reason any of the diners need to have someone sitting directly across from them.

The answer is an odd number.


Solution

Incorrect

Too bad!

Did you try using the Memo function to draw a picture of that table and the people around it?

If you did, possibly you overlooked something important.

Correct

A noble answer!

Five people is correct.

The image above shows how they would be seated around the Round Table.

The trick part is realizing that no one is sitting directly across from any of the diners.

UF076S

A big thanks to http://professorlayton3walkthrough.blogspot.com