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

Puzzle

US Version

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?

UK Version

Sammy has eight chains with seven links each. He wants to connect all these chains to make a necklace. The jeweller says that it will cost £2 each time he opens and closes a single link.

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

Hints




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.

US Version

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

UK Version

You haven't only been opening the links on the 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?


Solution

Incorrect

Too bad!

US Version

Give it another try.

UK Version

Give the puzzle another try.

Correct

Score!

US Version

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.

UK Version

Take one of Sammy's seven-link chains, break each link apart, and use them to connect the remaining small chains together, as shown in the illustration.

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

DB055S

A big thanks to http://professorlayton2walkthrough.blogspot.com

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