
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 Clara estimates 40,000 fans attended a hockey game in Houston and an actual attendance is within 20% of her estimate, and Daniel estimates 70,000 fans attended a hockey game in Denver and an actual attendance is within 15% of his estimate, find the largest possible difference between the numbers attending the two games.

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