
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 fenced off a plot of land and divided it into triangles with sides of $50 \mathrm{~m}$. In some triangles, he planted cabbage, while in others, he let goats graze. Help the farmer build additional fences along the grid lines with the smallest possible total length to protect all the cabbage from the goats.


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