
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
Referees from China, Japan, and Korea, two from each country, will serve as judges for badminton courts 1, 2, and 3 at the Asian Games. It is stipulated that each court will have two referees, and referees from the same country cannot be assigned to the same court. The number of different allocation methods is ____. (Fill in the number)

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