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The Ancient Map The Locked Box Sammy's Work Week

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

Puzzle

The box 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?

Hints

Click a Tab to reveal the Hint.

When the red dial reads 0, the blue dial reads 5. When the red dial reads 3, the blue dial reads 2.
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 and again and think about what it says about the dials' relationship.

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.

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.


Solution

Correct

That was tough!

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.

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