
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, and a point $P$ is marked with invisible ink. A person with special glasses can see the point. If a line is drawn, the person can answer which side of the line point $P$ 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 that need to be asked to determine whether point $P$ is inside the square?

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