Note: This is a follow-up to "Squares are Cool". Please solve that one first, then solve this. Compute 1^{4} - 2^{4} + 3^{4} - 4^{4} + 5^{4} - … + 1111^{4} - 1112^{4}.

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Happy Problem Solving (Please let me know if there were any mistakes in my calculations. If so, I will delete this problem, and create a new one).

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