
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
Three amoebas are placed in a container. On the first day, each amoeba splits into two. Each subsequent day, every new amoeba splits into two. However, starting from the third day and every third day thereafter, half of the amoebas die without splitting. How many amoebas are in the container after 10 days?

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