
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 volleyball tournament, Team E competes against Team F and Team G competes against Team H on Saturday. The two winning teams on Saturday face each other for the championship on Sunday, while the losers play for the third and fourth places. Team E has a veteran advantage against Team F, and Team G has a similar advantage against Team H, meaning each advantaged team is more likely to win their Saturday match. Assuming there are no ties and the advantage does translate to a win, what is the total number of possible four-team ranking sequences at the end of the tournament?

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