
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
The 13-digit display shows the number 1201201201201. Robots C3PO and R2D2 take turns swapping its digits. On each turn, it is allowed to swap two adjacent digits, but it is forbidden to swap digits that have already been swapped by either robot. In addition, 0 cannot be placed in the first position. The player who cannot make a move on their turn loses. Who will win with optimal play if C3PO starts?

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