
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
Let \( n \) be a positive integer. Connect the point on the \( x \)-axis with abscissa \( n \) to the points on the \( y \)-axis with ordinates \( n-1 \) and \( n+1 \), and also connect the point on the \( y \)-axis with ordinate \( n \) to the points on the \( x \)-axis with abscissae \( n-1 \) and \( n+1 \). What is the area of the quadrilateral enclosed by these four line segments?

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