
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
We colored the faces of a regular dodecahedron with red, blue, yellow, and green so that any two adjacent faces have different colors. How many edges of the dodecahedron have one face colored blue and the other green?

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