
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The diagram shows five circles connected by five line segments. Three colours are available to colour these circles. In how many different ways is it possible to colour all five circles so that circles which are connected by a line segment are coloured differently?

Present the answer in LaTex format: \boxed{Your answer}
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