
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
In how many different ways can the chess match between Central High School and Northern High School be scheduled, where each school has four players and each player plays two games against each of the other school's players over eight rounds with four games played simultaneously?

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