
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
The square shown is divided into 16 equal smaller squares, and each small square is further divided into two rectangles along one of its diagonals. If the perimeter of the larger square is 256 units, what is the perimeter of one of these smaller rectangles?

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