
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
There are 100 participants in an international StarCraft championship. The tournament is single-elimination, meaning in each match, two players compete, the loser is eliminated, and the winner continues. Find the maximum possible number of participants who won exactly two matches.

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