
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 residential community, there is a plan to plant no fewer than 100 trees. If 2 trees are planted on the first day and the number of trees planted each subsequent day is double that of the previous day, the minimum number of days required, denoted as \( n \) (\( n \in \mathbb{N}^* \)), is ________.

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