<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 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? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
5
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?
test