
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
Given that the chess club uses a single round-robin format and the champion has more points than any other participant but has won fewer matches than any other participant, determine the minimum number of participants in this competition.

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