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MathNet 2008-part-05 — 164 problems (EN–VI) Question 126

Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)

Question 126

Show that for positive integers $n_{1}$, $n_{2}$ and $d$,

$$
f\left(n_{1} n_{2}, d\right) \leq f\left(n_{1}, d\right)+n_{1}\left(f\left(n_{2}, d\right)-1\right)
$$