Art of Problem Solving

1998 IMO Problems/Problem 6: Difference between revisions

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<cmath>f\left( n^{2}f(m)\right) =m\left( f(n)\right) ^{2}. </cmath>
<cmath>f\left( n^{2}f(m)\right) =m\left( f(n)\right) ^{2}. </cmath>


==Solution==
==Video Solution==
{{solution}}
https://www.youtube.com/watch?v=vOExNCV8jGQ


==See Also==
==See Also==

Latest revision as of 00:54, 28 August 2024

Problem

Determine the least possible value of $f(1998),$ where $f:\Bbb{N}\to \Bbb{N}$ is a function such that for all $m,n\in {\Bbb N}$,

\[f\left( n^{2}f(m)\right) =m\left( f(n)\right) ^{2}.\]

Video Solution

https://www.youtube.com/watch?v=vOExNCV8jGQ

See Also

1998 IMO (Problems) • Resources
Preceded by
Problem 5
1 2 3 4 5 6 Followed by
Last Question
All IMO Problems and Solutions