<|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 four-digit number is split into two two-digit numbers, whose sum equals 42. For example, 2022 is such a four-digit number. Besides 2022, how many other such four-digit numbers exist? 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
2
A four-digit number is split into two two-digit numbers, whose sum equals 42. For example, 2022 is such a four-digit number. Besides 2022, how many other such four-digit numbers exist?
test