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A covering system of congruences can be defined as a set of congruence relations of the form: $\{r_1\;(\mathrm{mod}\;m_1), r_2\;(\mathrm{mod}\;m_2), \dots, r_t\;(\mathrm{mod}\;m_t)\}$ for $m_1, \dots, m_t \in \mathbb{N}$...