
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 an outside plot of land and divided it into triangles with sides measuring 50 meters. In some of the triangles, he planted cabbage, while in others, he allowed goats to graze. Help the farmer to build additional fences along the grid lines with the shortest total length possible to protect all the cabbage from the goats.

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