
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
The bacteria in a lab culture double in number every three hours. Initially, there are 200 bacteria cells in the culture. In how many hours will there be exactly 51,200 bacteria?

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