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1998 IMO Problems/Problem 6

Revision as of 08:45, 19 July 2016 by 1=2 (talk | contribs)

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

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

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