
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
Xiaoming has several 1-yuan, 2-yuan, and 5-yuan banknotes. He wants to buy a kite priced at 18 yuan using no more than 10 banknotes and at least two different denominations. Determine the number of different payment methods possible.

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