
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
Megan, on a particularly hot day, eats a Popsicle every 10 minutes. However, due to the heat, some Popsicles start melting. If Megan decides to eat for a total of 3 hours, and each unused Popsicle loses 10% of its volume every hour due to melting, what is the total volume of fully intact Popsicles Megan consumes, given she starts with 100 units of volume per Popsicle?

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