
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 particle starts from vertex A of a regular pentagon ABCDE. Moving from one vertex to another along an edge is considered "one move". The total number of ways for the particle to start from point A, make 10 moves, and return to point A is ______.

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