
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
Find the number of ways to navigate from the top horizontal face to the bottom horizontal face by moving through adjacent faces in a sequence, with each face visited at most once and only clockwise movements allowed on the top ring, with movements from the bottom ring to the top ring not allowed, and a total of exactly 3 moves on the top ring and exactly 2 moves on the bottom ring.

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