
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 chess tournament, Player P plays Player Q and Player R plays Player S on Saturday. Then on Sunday, the Saturday winners play for the championship while the losers play for the consolation prize. There are no draws. One possible ranking from champion to fourth place at the end of the tournament is PRQS. Determine the total number of possible four-player ranking sequences at the end of the tournament.

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