
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 square is located on a plane with an invisible point \( P \) marked on it. A person with special glasses can see the point. If you draw a line, this person can answer a question about which side of the line \( P \) lies on (if \( P \) lies on the line, they will say that \( P \) lies on the line).

What is the minimum number of such questions needed to determine whether the point \( P \) is inside the square?

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