\[ \large \sum_{k=1}^{4n} (-1)^{k (k+1)/2} \cdot k^2 \]

Which of the following values can the above expression take. \[1) 264\] \[2) 272\] \[3) 280\] \[4) 333\]

**Details and Assumptions:- **More than one options may be correct !
Give your answer as the sum of the possible values from the given options.
Give answer as 50 if you think none of the options is correct.

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