
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
Think about how to cut the outline of a square with a side length of 1 into four parts and arrange these parts to form the outline of a triangle. Find the area of the triangle you obtain. (The outline has no thickness. You cannot fold or unfold the parts.)

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