
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
A school held a soccer match, where each team played against every other team. The winning team of each match received $2$ points, the losing team received $0 points, and in case of a draw, both teams received $1$ point each. The team with the highest score would be crowned the champion. It is known that there is a team with the highest score (higher than all other teams), but this team has fewer wins than the other teams. The minimum number of teams participating in the match is ______.

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