
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 area is to be fenced off on three sides using part of a 150 meter rock wall as the fourth side, with fence posts placed every 10 meters along the fence, including the two posts where the fence meets the rock wall. Given the area dimensions are 40 m by 100 m, determine the fewest number of posts required to fence this area.

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