Professor Layton Wiki
Professor Layton Wiki
068 - Find the Pentagons069 - Chocolate Puzzle070 - The Shattered Vase

Chocolate Puzzle is a puzzle in Professor Layton and the Curious Village.

Puzzle

You have a hankering for chocolate, so you buy a huge sheet of 30 chocolate squares. The sheet is five squares long by six squares wide. You can only break the chocolate at the lines that run between squares, and you aren't allowed to stack multiple segments on top of each other.

Keeping those rules in mind, what is the fewest number of times you'll need to break the chocolate in order to separate each of the 30 chocolate squares?

Hints

Click a Tab to reveal the Hint.

It's common for people to start thinking about the way they need to break the chocolate in order to achieve the objective at hand. However, the truth is that no matter how you break the chocolate, the answer you arrive at will be the same.

Split a sheet of chocolate and you get two segments where there was only one before. If you then break one of your two segments, you get a total of three segments.

Your third break, regardless of what segment you choose, will yield a total of four segments of chocolate.

Do you see a pattern here?

Since you can't break multiple segments of chocolate at a time, you increase the total number of segments you have by one. If you caught on to that, the rest of the problem should be a breeze.


Solution

Incorrect

Keep trying!

Overwhelmed by all the ways to go about getting the answer? Don't think so hard!

Think about how your chocolate will end up and try working backward.

Correct

That's right!

If you follow the rules set out in the puzzle, then it really doesn't matter how you break up the chocolate. The number of segments you have increases by one each time you break a chunk off the sheet.

You start with one segment of chocolate, so 29 breaks later, you should have 30 segments.