Sammy's Necklace is a puzzle in Professor Layton and the Diabolical Box.


Sammy has eight chains with seven links each. He wants to connect all these chains to make a totally awesome necklace that's a single loop. The jeweler says he can open and close a single link for $2.

As shown below, Sammy could open an end of each of the eight chains to make one long necklace that's a single loop. However, that would cost $16, and the truth is there's a cheaper way to get the same results. Using the cheapest method possible, how much will it cost to make Sammy's necklace?


Click a Tab to reveal the Hint.

The number of links in each small chain is a crucial clue that will help you solve the puzzle.

You haven't been opening only the links on ends of each small chain, have you?

Try taking one small chain, popping open each of its seven links, and using those individual open links to connect the other smaller chains together.

Is the answer clearer now?



Too bad!

Give it another try.



Take one of Sammy's seven-link chains, break each link apart, and use them to connect the remaining small chains together. You can see this method illustrated here.

If Sammy uses this method, he can get the necklace of his dreams for only $14.


A big thanks to

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