
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 4 cm × 4 cm square is split into four rectangular regions using two line segments parallel to the sides. How many ways are there to do this so that each region has an area equal to an integer number of square centimeters?

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