1
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Simplify
\[\left( \frac{1 + i}{1 - i} \right)^{1000}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
Simplify
\[\left( \frac{1 + i}{1 - i} \right)^{1000}.\]
train