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If gcd (m,n)=1 and 1^2-2^2+3^2-4^2+. . ....

If gcd (m,n)=1 and `1^2-2^2+3^2-4^2+. . . +(2021)^2-(2022)^2+(2023)^2=1012 m^2n` then `m^2-n^2` is equal to

A

240

B

200

C

180

D

220

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