
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
If $2$ people have contracted the flu, and after two rounds of infection a total of $50$ people have the flu (these $2$ people are still infectious in the second round of infection), then on average, one person infects ____ people in each round of infection.

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