
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
On the Saturday of a weekend soccer tournament, Team A plays Team B, Team C plays Team D, and Team E plays Team F. On Sunday, the three Saturday winners play each other in a round-robin format to determine the first, second, and third places, while the three Saturday losers play another round-robin to determine the fourth, fifth, and sixth places. There are no ties in any matches. What is the total number of possible six-team ranking sequences at the end of the tournament?

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