
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
A cubic diorama hangs in a gallery with three of its faces painted red, green, and blue respectively, and visible from a viewing angle. Adjacent to each of these faces are white unpainted faces. How many distinct paths are there to traverse from the green face to the blue face, touching each face at most once, without traversing over the red face?
A) 5
B) 7
C) 9
D) 11
E) 13

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