
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
Mom gave Vasya money for 30 pencils. It turned out that the pencil factory is running a promotion in the store: in exchange for a receipt for the purchase of a set of 20 pencils, $25\%$ of the cost of the set is refunded, and in exchange for a receipt for the purchase of a set of 5 pencils, $10\%$ is refunded. What is the maximum number of pencils that Vasya can buy?

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