
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 matchup consists of a game between two players, with the loser being eliminated and the winner advancing to the next round. In this tournament, there are 512 players. How many games must be played to determine the champion?

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