
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 certain culture of fungi, the number of fungi triples every day. The culture starts with 2 fungi, and has 6 at the end of day 1, 18 at the end of day 2, and so on. What is the first day on which the number of fungi exceeds 200?

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