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: $$(n^2-mn-m^2)^2 = 1$$.
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[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]