
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 single-elimination tournament where each game involves two players and only the winner advances to the next round, the tournament starts with 512 players. How many games are required to determine the champion?

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