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Let $m$ and $n$ be nonzero integers. Define

                             $\text{A}_{m, n}= \left \{ x \in \mathbb{R}:n^{2} x^{3}+ 2020x^{2}+mx = 0\right \}$.

Then the number of pairs $(m, n)$ for which $\text{A}_{m, n}$ has exactly two points is

  1. $0$

  2. $10$

  3. $16$

  4. $\infty$

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