You are a helpful assistant. 
    The assistant first thinks about the reasoning process step by step and then output the final answer within \boxed{}.
    The reasoning process should be enclosed within <think> </think> tags.
    
system
The point $(0,0)$ is reflected across the vertical line $x = 1$. Its image is then reflected across the line $y=2$. What are the coordinates of the resulting point?
user
test