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The Locked Box is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

US Version

The box shown below is fitted with a lock consisting of two dials. You can't turn the blue dial, but when you turn the red dial, the blue dial moves an equal amount. To see the relationship between the two dials, you turn the red one from its original position, as shown below. In order to open the lock, you must turn the blue dial to 3, 6, 4, and finally 1, in that order. Since you can't turn the blue dial directly, what numbers must you turn the red dial to in order to produce the desired numbers on the blue dial?

UK Version

The box shown below is fitted with a lock consisting of two dials. You can't turn the blue dial directly, but when you turn the red dial, the blue dial moves an equal amount. In order to see the relationship between the two dials, you try turning the red one from its original position, as shown below. In order to open the lock, you must turn the blue dial to 3, 6, 4 and 1 in that order. Since you can't turn the blue dial directly, to which numbers must you turn the red dial in order to produce the desired numbers on the blue dial?

Hints

Click a Tab to reveal the Hint.

US Version

As stated in the puzzle, the distance the blue dial moves is equal to the distance the red dial moves. When the red dial moves from 0 to 3, the blue dial moves from 5 to 2. Read that last sentence again and think about what it says about the dials' relationship.

UK Version

As stated in the puzzle, the distance the blue dial moves is equal to the distance the red dial moves. When the red dial moves from 0 to 3, the blue dial moves from 5 to 2. Read that last sentence again and think about what it says about the relationship between the dials.

US Version

Did you catch on to what Hint One was trying to tell you? The red and blue dials turn the exact same amount, but as you may have noticed, as the numbers on one dial turn in one direction, the numbers on the other dial turn the other way.

UK Version

Did you catch on to what Hint 1 was trying to tell you? The red and blue dials turn the exact same amount but, as you may have noticed, the numbers on the dials move in opposite directions.

US Version

When you turn the red dial, the blue dial moves the same amount, only in the opposite direction.

So all you need to do is construct a quick table to show you how values on the red dial correspond to other values on the blue dial. Try writing up the table using the Memo function, if you like.

UK Version

When you turn the red dial, the blue dial moves the same amount in the opposite direction.

All you need to do is construct a quick table to show you how numbers on the red dial correspond to other numbers on the blue dial. Why not try using the Memo Function to write the table?

Solution

Incorrect

US Version

If you can just figure out how the two dials turn in relation to one another, the rest is a breeze.

UK Version

If you can just work out how the two dials turn in relation to one another, the rest is a breeze.

Correct

That was tough!

US Version

The red dial has to be turned to 2, 7, 1, and finally 4 to produce the numbers you need on the blue dial.

It turns out these two dials actually rotate in opposite directions. One great way to solve this problem is to create a chart with each dial's corresponding numbers, like the one above.

UK Version

The red dial needs to be turned to 2, 7, 1 and 4 to produce the numbers you need on the blue dial.

It turns out these two dials actually rotate in opposite directions. One way to solve this problem is to create a chart with each dial's corresponding numbers, like the one shown above.

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

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