Mathematics
If \(gcd(m,n) = 1\) and
\(1^{2} - 2^{2} + 3^{2} - 4^{2} + \ldots. + (2021)^{2}\)
\(- (2022)^{2} + (2023)^{2} = 1012m^{2}n\), then \(m^{2} - n^{2}\) is
equal to
A
200
B
180
C
220
D
240
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