
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 father had three sons and left them an inheritance of 9 sotkas of land, which is a rectangle measuring 25 meters by 36 meters. The brothers decided to divide the land into three rectangular sections — each brother getting 3 sotkas. How many ways are there to divide the land (in terms of the lengths and widths of the sections), and in which option will the total length of the fences between the sections be the smallest?

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