
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
As shown in the diagram, there is a circle filled with the number 1. Fill the blank circles with the numbers 2, 3, 4, 5, and 6, ensuring no repeated numbers and that the differences between the numbers in adjacent circles are at least 2. How many different ways can this be done?

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