
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
In a specific group of bacteria, the population triples each day. Starting with 4 bacteria, and having 12 at the end of day 1, 36 at the end of day 2, and so on. Determine the first day when the population exceeds 200 bacteria.

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