
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 chess tournament, the top 3 players enter a playoff. First #3 plays against #2. The loser receives the 3rd prize and the winner plays against #1. The loser of this final match receives the 2nd prize and the winner receives the 1st prize. In how many orders can players #1 through #3 receive the prizes?

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