
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 Charlie estimates 100,000 people attended a concert in City C, and Dana estimates 120,000 people attended another concert in City D, and the real attendance in each city falls within 15% of each estimate, calculate the largest possible difference between the numbers attending the two concerts, rounded to the nearest 1,000.

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