
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 Jasmine has $3030$ coins consisting of pennies, nickels, and dimes, find the difference in cents between the greatest and least possible amounts of money she can have, assuming the total number of coins includes all types designated.

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