
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
An item is priced at 80 yuan. How many different ways are there to pay for this item using 10 yuan, 20 yuan, and 50 yuan denominations?

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