
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 dart is thrown at a square piece of paper with a side length of 1, on which the largest possible circle is drawn. The paper is attached to a wall for a dart game. Assuming the dart will definitely hit somewhere on the paper, the probability that the dart will not land inside the circle is     .

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