
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
200 participants arrived at the international table tennis championship. The matches are elimination matches, meaning each match involves two players; the loser is eliminated from the tournament, and the winner remains. Find the maximum possible number of participants who have won at least three matches.

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