
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 in the puddle splits into three new amoebas. After one week, how many amoebas are in the puddle, assuming no other amoebas were in the puddle initially?

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