Odredi maksimum izraza

gdje su

i

prirodni brojevi manji od

i zadovoljavaju jednakost:

.
Determine the maximum of the expression

where

and

are natural numbers less than

and satisfy the equation:

.
[lang=hr]
Odredi maksimum izraza $m + n$ gdje su $m$ i $n$ prirodni brojevi manji od $202220222022$ i zadovoljavaju jednakost: $$(n^2-mn-m^2)^2 = 1$$.
[/lang]
[lang=en]
Determine the maximum of the expression $m + n$ where $m$ and $n$ are natural numbers less than $202220222022$ and satisfy the equation: $$(n^2-mn-m^2)^2 = 1$$.
[/lang]