
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 farmer has enclosed an area of land and divided it into triangles with sides of $50 \mathrm{~m}$. He has planted cabbages in some triangles and let goats graze in others. Help the farmer build additional fences along the grid lines, with the minimum total length, to protect all the cabbages from the goats.

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