
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
Given that every piece of candy is priced with a whole number of cents, Jerry can buy exactly $20$ pieces of red candy, $18$ pieces of green candy, $24$ pieces of blue candy, or $n$ pieces of orange candy. Each piece of orange candy costs $25$ cents. Determine the smallest possible value of $n$ such that Jerry uses all his money.

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