IMO Shortlist 2015 problem A2


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30. kolovoza 2018.
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Determine all functions f:\mathbb{Z}\rightarrow\mathbb{Z} with the property that f(x-f(y))=f(f(x))-f(y)-1holds for all x,y\in\mathbb{Z}.

(Croatia)

Izvor: https://www.imo-official.org/problems/IMO2015SL.pdf