
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 species of fungi, the number of fungi triples every day. The colony starts with 4 fungi, and has 12 at the end of day 1, 36 at the end of day 2, and so on. Determine the number of the first day which ends with the colony having more than 1000 fungi.

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