
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
How can a $3 \times 3$ square be cut into unit squares with the least number of straight-line cuts:

a) if the parts cannot be overlapped (i.e., each time, only one part can be cut)?

b) if the parts can be overlapped?

c) if the square can be folded before cutting? (Answer: one cut is sufficient)

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