
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
Cut a square piece of paper with a side length of 11 cm into several smaller square pieces of paper with integer side lengths less than 11 cm (the smaller squares do not have to be the same size and repeats of the same dimensions are allowed, with no waste of paper). Determine the minimum number of smaller square pieces.

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