
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 a weekend softball tournament featuring six teams (Team A, Team B, Team C, Team D, Team E, Team F), the first day's matches are as follows: Team A vs Team B, Team C vs Team D, and Team E vs Team F. The winners of these matches play in a second round on the next day, where two winners will progress to the final day to contend for first and second places, while the losers of the second round will play for third and fourth places. The losers from the first day play on the second day as well, with the winner of this match going to the third day to contend for the fifth and sixth places against the remaining team. There are no ties. 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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