olymmath

ISL 2015 A2

    Determine all functions f:Z→Zf: \mathbb{Z} \rightarrow \mathbb{Z} with the property that f(x−f(y))=f(f(x))−f(y)−1f(x-f(y))=f(f(x))-f(y)-1 holds for all x,y∈Zx, y \in \mathbb{Z}. (Croatia)

    Dataset text NuminaMath olympiads. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Locator isl/2015/a2 · Tag PFD5DTNFHM · Edit this page on GitHub · Keys: j next, k previous