
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
Given a layout of 5 hexagons arranged in two columns where the first column has 1 hexagon, labeled A, and the second column has 4 hexagons arranged one below the other, labeled B, C, D, E from top to bottom. Hexagon A touches only hexagons B and D. Hexagon B touches A, D, and C. Hexagon C touches only B and D. Hexagon D touches A, B, C, and E. Hexagon E touches only D. If hexagon A is colored red, in how many ways can the other hexagons be colored using the colors yellow and green, such that no two adjacent hexagons share the same color?

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