
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 regional baseball tournament, four teams (E, F, G, H) are split into two groups: East (E and F) and West (G and H). On Saturday, E plays F, and G plays H. The winners and losers within each group then face each other on Sunday to determine the positions for each group (1st and 2nd, 3rd and 4th). Finally, on Monday, the top team from each group plays for the tournament championship and second place, and the second-place teams from each group play for third and fourth places. Assuming no ties, one potential ranking order for the teams at the end of the tournament is EGFH. What is the total number of possible four-team ranking sequences at the end of this tournament?

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