A system of congruences mod
with
is called a covering system if every integer y satisfies
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.
Guy, R. K. "Exact Covering Systems." §F14 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 253-256, 1994.
Eric W. Weisstein. "Exact Covering System."
From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/ExactCoveringSystem.html

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