HMMT November 2017 U7

Compute

$100^{2}+99^{2}-98^{2}-97^{2}+96^{2}+95^{2}-94^{2}-93^{2}+\ldots+4^{2}+3^{2}-2^{2}-1^{2}$

Dataset text NuminaMath olympiads. Quoted with source.

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10100

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