
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 there were 3000 more residents in the city, each resident would pay 10 forints less to the enemy. If there were 1000 fewer residents, each would have paid 10 forints more. How many residents are there, how much does one resident pay, and how much does the entire city pay?

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