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Flower Garden is a puzzle in the European version of Professor Layton and the Curious Village. For the puzzle in the American version of the game, go here.

Puzzle

You decide to rent some space in a flower garden. Informing the owner of the garden that you need enough space for 12 plants, he tells you that there are four suitable allotments available, A-D.

The rent for each allotment is calculated by area, but on top of the rent for the 12 plant-sized spaces, there is also a separate charge for the fence around the whole allotment. With this in mind, can you tell which allotment has the most expensive rent?

Hints




Click a Tab to reveal the Hint.

You can find the answer by adding up the length of fence around all the allotments, but there is another way...

At first glance, doesn't A look like it has the shortest length of fence?

Yes, it does!

Each individual square has four sides, so an allotment of 12 squares will have 48 sides in total, with some shared between squares.

The number of sides being shared by neighbouring squares will differ greatly depending on the shape of the allotment.


Solution

Incorrect

Too bad!

Correct

That's right! D is the most expensive.

When considering how many sides of each plant-sized square need to be fenced, you don't even need to count the length of fence in order to see that D will cost the most.

By the way, if you do add up the lengths for all the allotments, you'll find that A requires 14 sides be fenced, B 20, C 18 and D 26. So you should, of course, choose allotment A.

CVUK076S

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

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