
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 rectangular grazing area is to be fenced off on three sides using part of a 120 meter rock wall as the fourth side. Fence posts are to be placed every 10 meters along the fence including the two posts where the fence meets the rock wall. The grazing area's dimensions are 50 m by 80 m. Calculate the fewest number of posts required.

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