
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 controlled environment on day 1. Starting from the initial day, each amoeba splits into two amoebas every day, except that every third day, only half of the amoebas are capable of splitting due to environmental stress. After 10 days, how many amoebas will there be, assuming the controlled environment starts with one amoeba?

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