
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 amoeba is placed in a puddle one day, and on that same day it splits into three amoebas. Each subsequent day, every amoeba present in the puddle splits into three new amoebas. After ten days, how many amoebas are in the puddle? (Assume the puddle has no amoebas before the first one is placed in the puddle.)

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