
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
Before the competition, 6 athletes placed their coats in the locker room. After the competition, they all returned to the locker room to retrieve their coats. Due to the dim lighting, some athletes took the wrong coats. Among them, only 2 athletes took their own coats, and the number of situations where the other 4 athletes took someone else's coats is .

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