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    Exact Covering System

    Definition

    A system of congruences a_i mod n_i with 1<=i<=k is called a complete residue system (or covering system) if every integer y satisfies y congruent a_i (mod n) for at least one value of i. A covering system in which each integer is covered by just one congruence is called an exact covering system.

    Related term

    complete residue system

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