# One solution may lead to another one.

Number Theory Level 4

Determine the maximum value of $$m^{2}+n^{2}$$, where $$m$$ and $$n$$ are integers satisfying

i. $$m,n\in \{1,2,....,1981\}$$

ii. $$(n^{2}-mn-m^{2})^{2}=1$$.

This is an old IMO problem.

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