
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
Caroline wants to plant 10 trees in her orchard.  Planting  $n$  apple trees requires  $n^2$  square meters, planting  $n$  apricot trees requires  $5n$  square meters, and planting  $n$  plum trees requires  $n^3$  square meters.  If she is committed to growing only apple, apricot, and plum trees, what is the least amount of space in square meters, that her garden will take up?

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