
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
Pave a total of 1000 meters of 20 rectangular carpets in a corridor that is 100 meters long. Assuming the width of the carpets is the same as the corridor's width, what is the maximum number of sections that can remain uncovered?

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