
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
An algae cell is placed in a pond, and on that day it splits into three new cells. Each day, every existing cell splits into three new cells. How many algae cells are in the pond after 10 days, assuming the pond was initially empty except for the first cell?

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