
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
Central High School is competing against Northern High School in a chess match. Each school has four players, and the contest rules require that each player play three games against each of the other school's players. The match takes place over several rounds, with four games played simultaneously in each round. In how many different ways can the match be scheduled?
**A)** \(358800\)
**B)** \(43008000\)
**C)** \(265420800\)
**D)** \(479001600\)
**E)** \(8870400\)

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