
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
In recent years, China has implemented the following tax regulations on royalties from publishing: no tax for royalties up to 800 yuan; for royalties exceeding 800 yuan but not exceeding 4000 yuan, tax is levied at 14% on the amount exceeding 800 yuan; for royalties exceeding 4000 yuan, tax is levied at 11% of the total royalties. If someone has paid 420 yuan in taxes for publishing a book, then his royalties amount to ______ yuan.

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