
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 the estimated attendance of 50,000 fans in Atlanta and 60,000 fans in Boston, and the actual attendance being within 10% of Anita's estimate and Bob's estimate being within 10% of the actual attendance in Boston, calculate the largest possible difference between the numbers attending the two games to the nearest 1,000.

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