
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
A shop sells candies priced in whole cents. Lena has exactly enough money to buy $10$ red candies, $16$ green candies, and $18$ blue candies. If one piece of purple candy costs $25$ cents, find the smallest possible value of $n$ for which she can buy exactly $n$ purple candies.

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