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?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
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?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
(2,4)
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?
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