
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, each game is played between two players, where only the winner advances to the next round. Suppose there are 512 players in this tournament. How many games must be played to determine the champion?

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