
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 modified version of the tournament, there are 6 bowlers. First #6 bowls #5. The loser receives 6th prize, and the winner bowls #4. The loser of this game receives 5th prize, and the winner bowls #3. The loser of this game receives 4th prize, and the winner bowls #2. The loser of this game receives 3rd prize, and the winner bowls #1. The final game determines the 1st and 2nd prizes. How many different orders can bowlers #1 through #6 receive the prizes?

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