
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
Two players are playing a game. At the beginning, the numbers 1, 2, 3, 4 are arranged in a circle. On each of his turns, the first player adds 1 to each of two neighboring numbers, while the second player swaps any two neighboring numbers. The first player wins if all the numbers become equal. Can the second player prevent this from happening?

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