
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 piece of circular paper is folded along its diameter, then 3 straight lines are drawn on it, and it is cut along those lines. Depending on the placement of the lines, the number of resulting pieces of paper can vary. What is the minimum number of pieces that the paper can be cut into? What is the maximum number of pieces?

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