<|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
 Find the smallest positive integer, such that the sum and the product of it and  $10$  are both square numbers.  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
90
Find the smallest positive integer, such that the sum and the product of it and  $10$  are both square numbers. 
test