
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 $10 \times 10$ square has been cut into rectangles whose areas are distinct and expressed as natural numbers. What is the maximum number of rectangles that can be obtained?

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