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12+22−32−42+52+62−72−82+⋯−10002+10012= ? \large 1^2 + 2^2 - 3^2 - 4^2 + 5^2 + 6^2 - 7^2 - 8^2 + \cdots - 1000^2 + 1001^2 = \, ? 12+22−32−42+52+62−72−82+⋯−10002+10012=?
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