
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
Seventeen circles are arranged in a tangential pattern as shown. A frog starts from the central large circle and can jump to an adjacent circle each time. Calculate the number of ways the frog can return to the central large circle after five jumps.

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