
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 rectangular piece of wood with a square cross-section has a surface area of 2448 square centimeters. From one end, a largest possible cube is sawed off, and the surface area of this cube is 216 square centimeters. The wood can yield at most ______ such cubes. (Note: Each sawing process wastes 2 millimeters of wood.)

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