
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 cube with a side length of \( n \) ( \( n \geq 3 \) ) is divided into unit cubes by partitions. What is the minimum number of partitions between unit cubes that need to be removed so that each unit cube can be reached from the boundary of the larger cube?

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