# Unfortunately $$A$$ cannot be $$0$$

Number Theory Level pending

Given that $$m, n \in \mathbb{Z^{+}}$$, $$m \leq 6008$$ and $$\large{A = \Big(3 - \frac{m}{n}\Big)}$$ find the smallest positive number $$A$$.

If $$\large{A_{min} = \Big(\frac{a}{b}\Big)^c}$$ for $$a, b, c \in \mathbb{Z}$$ insert the number $$(a + b + c)$$ as your answer.

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