
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
A residential community plans to plant no fewer than 100 trees. If 2 trees are planted the first day, and the number of trees planted each subsequent day is double the number from the previous day, the minimum number of days required $n$ (where $n \in \mathbb{N}^*$) is equal to _______.

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