Find the remainder when $$33818^2 + 33819^2 + 33820^2 + 33821^2 + 33822^2$$is divided by 17.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the remainder when $$33818^2 + 33819^2 + 33820^2 + 33821^2 + 33822^2$$is divided by 17.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
0
Find the remainder when $$33818^2 + 33819^2 + 33820^2 + 33821^2 + 33822^2$$is divided by 17.
train