
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
Inside a rectangular sheet of paper, \( n \) rectangular holes with sides parallel to the edges of the sheet were cut out. What is the minimum number of rectangular pieces this perforated sheet can be guaranteed to be cut into? (The holes do not overlap or touch each other.)

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