
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 a side length of 50 meters. In some triangles, he planted cabbages, while in others he allowed goats to graze. Help the farmer build additional fences along the grid lines with the smallest possible total length to protect all the cabbages from the goats.

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