
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
Into how many different rectangles could an 8x8 chessboard be divided? All cuts must follow the grid lines. Rectangles are considered different if they are not geometrically identical.

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