
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

You need to cut a wooden cube with an edge length of 40 cm into 64 smaller cubes with an edge length of 10 cm. This can be easily done with nine cuts if you do not move the cut pieces relative to each other. By repositioning the cut pieces after each cut, how much can you reduce the number of cuts?

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