$a$, $f(b)$ and $f(b+ f (a)−1)$.
(A triangle is non-degenerate if its vertices are not collinear.)
Comment: ভালো প্রবলেম
IMO 2009#5
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Phlembac Adib Hasan
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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
$a$, $f(b)$ and $f(b+ f (a)−1)$.
(A triangle is non-degenerate if its vertices are not collinear.)
Comment: ভালো প্রবলেম
$a$, $f(b)$ and $f(b+ f (a)−1)$.
(A triangle is non-degenerate if its vertices are not collinear.)
Comment: ভালো প্রবলেম
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