
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
Given a rectangular vegetable garden that is enclosed on three sides with one long side being a 150 meter existing hedge, posts are placed every 10 meters along the fence, including at the points where the fence meets the hedge. Determine the minimum number of posts required to enclose an area 50 m by 100 m.

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