
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
Lily is about to receive a certain amount of change less than one dollar from a cashier. If she receives the most quarters possible and the rest in nickels, she would need to receive 1 nickel to meet the amount. If she receives the most dimes possible and the rest in nickels, she would need to receive 3 nickels to meet the amount. What is the sum, in cents, of the possible amounts of change that she is trying to get?

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