
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
The algae in a local lake expands to cover double its area each day. By the end of the 24th day of the month, the lake is entirely covered with algae. Determine on which day of the month was only 10% of the lake covered with algae.

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