
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 diagram made up of seven contiguous hexagons arranged as follows: one hexagon at the center surrounded by six hexagons (each adjacent to the center hexagon). The central hexagon is pre-colored blue. The other hexagons are to be colored such that no two adjacent hexagons (including the center one) are colored the same. Apart from blue, you may use only red and yellow colors. In how many different ways can the surrounding hexagon be colored?

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