
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
Consider a configuration of five dots arranged as follows: two connected equilateral triangles sharing a common vertex, with each vertex needing to be colored either red, white, or blue. No two dots connected by a segment can be the same color. How many ways are there to color the dots in this configuration?

[asy]
draw((0,0)--(30,0)--(15,26)--cycle);
draw((15,26)--(45,26)--(30,0)--cycle);
dot((0,0));
dot((30,0));
dot((15,26));
dot((45,26));
[/asy]

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