
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 $15$ meters along the fence, including the two posts where the fence meets the rock wall. Determine the fewest number of posts required to fence an area $45$ m by $75$ m.

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