
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 colony of bacteria, the number of bacteria increases threefold every day. If the colony starts with 2 bacteria and has 6 at the end of day 1, 18 at the end of day 2, and so on, what is the number of the first day which ends with the colony having more than 200 bacteria?

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