
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 4 players compete in a sequential knockout format. Player #4 plays against Player #3, and the loser secures the 4th place. The winner then plays against Player #2, where the loser gets the 3rd place. Finally, the winner from this game plays against Player #1, and the winner secures the 1st place, leaving the loser with the 2nd place. Determine in how many different orders the players can finish from 1st to 4th place.

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