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

Puzzle

US Version

The fountain shown below has the unusual ability to indicate the age of those who draw near it.

For example, if a five-year-old child were to approach, the fountain would fire off water from spouts A, B, C, D, and E. in that order. For age 15, the middle spout would fire and then be followed by spouts A through E. For someone aged 30, the middle spout would fire off three times. Given the fountain's method of indicating age, there's one utterly useless spout on the fountain. Find and circle this spout.

UK Version

The fountain shown below has the unusual ability to indicate the age of those who approach it.

For example, if a five-year-old child were to approach, the fountain would wire off water from spouts A, B, C, D and E in that order. For age 15, the middle spout would fire, followed by spouts A to E. For someone aged 30, the middle spout would fire off three times. Given the fountain's method of indicating age, there's one utterly useless spout on the fountain. Find and circle this spout.

Hints




Click a Tab to reveal the Hint.

The puzzle asks for you to find a spout that's utterly useless, meaning the spout never gets used. Which one could that be?

US Version

Read over the conditions that cause each spout to spray water. Then try applying that knowledge. For example, think about how the fountain would indicate the ages of 10 through 20.

UK Version

Read over the conditions that cause each spout to spray water, then try applying that knowledge. For example, think about how the fountain would indicate the ages from 10 to 20.

US Version

Spout A fires off to indicate one year, B fires for two, C fires for three, D fires for four, and so on.

So, if spout I is meant to indicate nine, then...

UK Version

Spout A fires off to indicate one year, A and B fire for two, A, B and C for three, A, B, C and D for four and so on.

So, if spouts A-I all firing off one after another are meant to indicate nine, then...


Solution

Incorrect

Too bad!

Think about the fountain's method of indicating age.

Correct

Good catch!

US Version

The spout marked J is pretty much useless. Since A through I mark the numbers one through nine, and the spout in the middle indicates the number 10, spout J will never be used.

UK Version

The spout marked J is basically useless. A to I represent a unit of one year each, displaying numbers from 1-9, and the middle spout represents a unit of 10 years, spout J will never be used.

DB090S

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

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