[CV005] Digital Digits

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004 - Where's My House?

005 - Digital Digits

006 - Light Weight

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Digital Digits
Game	Professor Layton and the Curious Village
Number	005
Type	Write Answer
Location	Plaza
Solved by	Luke
Picarats	50
Mandatory	No
Reward	None
In other languages
日本語	デジタル時計 dejitaru tokei

Digital Digits is a puzzle in the American version of Professor Layton and the Curious Village. For the puzzle in the European version of the game, go here.

Puzzle

Imagine a digital clock like the one shown below. How many times will the clock display three or more of the same number in a row over the course of one day?

In case you were wondering, the clock in this puzzle displays time on a 12-hour scale, not on military time.

Hints

• →
• Hint 1
• Hint 2
• Hint 3

Click a Tab to reveal the Hint.

As mentioned earlier, this digital clock works on a 12-hour display system. This means you'll cycle through the numbers twice a day.

Therefore, before you submit your answer, you need to double the number of times you found to account for a.m. and p.m.

You probably have already picked up on combinations like 1:11 and 2:22, but finding the less obvious combinations is what makes up the real meat of this problem.

Did you, for example, remember to include the time 10:00?

12:22 is another combination that's easy to overlook.

Also, have you thought about 11:12? Be sure to take a look at the various combinations that follow the above time as well.

Solution

Incorrect

Give it another shot!

Are you sure you haven't forgotten a few possible combinations?

Also, don't forget that you need to double your total to account for both a.m. and p.m.

Correct

Very good!

A series of three or more of the same digit appears 34 times over the course of 24 hours. See the chart above for details.

It's easy enough to spot times like 1:11 or 2:22, but many people forget about combinations like 10:00 or 11:12.