
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
Lucy has $45$ dollars and $75$ cents. She wants to buy as many popsicles as she can with her money. Each popsicle normally costs $2$ dollars and $25$ cents each, but there is a discount of $5$ cents per popsicle if she buys more than 10 popsicles. How many popsicles can she buy maximum?

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