Find the minimum value of $x^2 + y^2,$ where $x$ and $y$ are real numbers such that $x^2 + y^2 = 4xy.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the minimum value of $x^2 + y^2,$ where $x$ and $y$ are real numbers such that $x^2 + y^2 = 4xy.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
0
Find the minimum value of $x^2 + y^2,$ where $x$ and $y$ are real numbers such that $x^2 + y^2 = 4xy.$
train