
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
Suppose that the probability of Li solving project M independently is P₁=0.3 due to his higher intelligence, and there are n people with the same ability working on project M with a probability of solving it independently of 0.1. If Li is working on project M alone, while these n people form a team to work on it simultaneously, find the minimum value of n such that the probability of the n-person team solving project M, P₂, is greater than or equal to P₁.

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