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Determine all functions f from the set of positive integers to the set of positive integers such that, for all positive integers a and b, there exists a non-degenerate triangle with sides of lengths
a, f(b) \text{ and } f(b + f(a) - 1).
(A triangle is non-degenerate if its vertices are not collinear.)

Proposed by Bruno Le Floch, France

Slični zadaci

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