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Swap Meet (Swap Over in the UK version) is a puzzle in Professor Layton and the Last Specter.

Puzzle

US Version

Starting with A and moving clockwise, this circle of people is arranged in the following order: female, female, male, female, female, male, male.

Swap just two people to create a new arrangement where, starting with A, you will create the same male-female pattern whether you count every person or every other person.

Can you make the swap?

UK Version

Starting with A and moving clockwise, the people in this circle are arranged in the following order: female, female, male, female, female, male, male.

Swap just two people to create an arrangement where, starting with A, the same male-female pattern occurs whether you count every first person or only every second person.

Can you make the swap?

Hints




Click a Tab to reveal the Hint.

US Version

Try imagining the group as a row instead of a circle. That might make things a little clearer in your mind.

UK Version

Perhaps it's hard to think it through when you see the group as a circle. Try imagining them as a row instead.

US Version

You can make a lot of swaps that result in similar patterns.

But don't forget that to solve this particular puzzle, you must start counting from the person labeled A.

UK Version

A lot of swaps you can make result in similar patterns. But don't forget that you have to start from A.

US Version

Swap out the person labeled C...but with whom?

UK Version

One of the people you will need to swap is C. See if you can work out for yourself who to swap C with.

US Version

The new pattern you must create is female, female, female, male, female, male, male.

The order will also be the same if you only count every fourth person. Once you make your swap, try counting it off.

UK Version

You need to make a swap so that the new pattern is female, female, female, male, female, male, male. It might help you to know that the order will also be the same if you start with A and count every fourth person. Once you've made your swap, try counting it off.


Solution

Incorrect

US Version

Too bad!

Try going around again. You must have missed something along the way.

UK Version

Too bad.

Try going round again. You must have missed something along the way.

Correct

Correct!

US Version

You just need to swap C and D. That way you'll get the same male-female pattern counting every person, every second person, and every fourth person too!

Did you notice that you also get that same pattern if you start from A and count every third person of every fifth person going counterclockwise?

UK Version

You just need to swap C and D. That way you'll get the same male-female pattern counting every person, every second person and every fourth person, too!

Did you notice that you also get that same pattern if you start from A and count every third person or every fifth person going anticlockwise?

LS076S

A big thanks to http://professorlayton4walkthrough.blogspot.com

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