
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
At the end of a professional bowling tournament, the top 6 bowlers have a playoff. First #6 bowls #5. The loser receives $6$th prize and the winner bowls #4. The loser of this game receives $5$th prize, and the winner bowls #3. The loser of this game receives $4$th prize, and the winner bowls #2. The loser of this game receives $3$rd prize, and the winner bowls #1. The winner of this final game gets 1st prize and the loser gets 2nd prize. In how many orders can bowlers #1 through #6 receive the prizes?

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