
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
Expand the previous tournament structure to include Team E playing against Team F on Saturday along with the other mentioned matches. Thus, Team A plays Team B, Team C plays Team D, and Team E plays Team F. Similar to the previous structure, the three Saturday winners play for first, second, and third places and the three losers play for fourth, fifth, and sixth places on Sunday, ensuring no ties. One possible ranking from first place to sixth place is the sequence ACEBDF. Determine the total number of possible six-team ranking sequences under this format.

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