
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
For a convex pentagon with unequal sides, each side can be colored red, yellow, or blue, with the condition that adjacent sides cannot be colored the same. Determine the total number of distinct coloring methods.

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