state euclid division lemma.
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Euclid's Division Lemma states that for any two positive integers a and b, there exists unique integers q and r such that a = bq + r where r must satisfy :
(a) 0 ≤ r < b
(b) 0 > r > b
(c) 0 < r ≤ b
(d) 0 ≥ r ≥ b
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