
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 rectangular sheet has one side white and the other side gray. It was folded as shown in the picture. The perimeter of the first rectangle is 20 more than the perimeter of the second rectangle. The perimeter of the second rectangle is 16 more than the perimeter of the third rectangle. Find the perimeter of the original sheet.

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