
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]


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In a plane, a square and a circle overlap. Together, they occupy an area of 2018 cm². The overlapping area is 137 cm². The area of the circle is 1371 cm². What is the perimeter of the square?

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