IMO Shortlist 2013 problem N1


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21. rujna 2014.
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Let \mathbb{Z}_{>0} be the set of positive integers. Find all functions f : \mathbb{Z}_{>0} \to \mathbb{Z}_{>0} such that 
  m^2 + f(n) | m f(m) + n
for all positive integers m and n.
Izvor: Malaysia