
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 quiz at the SFU Museum of Entertaining Sciences, 10 schoolchildren are participating. In each round, the participants are divided into pairs. Each participant meets every other participant exactly once. A victory in a duel earns 1 point, a draw 0.5 points, and a defeat 0 points. What is the minimum number of rounds required for an early winner to emerge?

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