# 800 Followers problem!

Number Theory Level 4

$100^2 + 99^2 - 98^2 - 97^2 + 96^2 + \cdots + 4^2 + 3^2 - 2^2 - 1^2$

Let $$N$$ denote the number above. Find the remainder when $$N$$ is divided by $$1000$$.

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