
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
We want to cut a cube with edge length of 4 units into 64 smaller cubes with edge length of 1 unit. This can be done with 9 cuts if the resulting pieces are not moved from each other. What is the minimum number of cuts required if we can rearrange the pieces as needed after each cut?

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