Check whether or not  is a Euclidean domain

A Euclidean domain is a type of integral domain equipped with a Euclidean function, which is a function that assigns a non-negative integer to each nonzero element of the domain in such a way that certain properties hold. Specifically, a Euclidean domain must satisfy the Euclidean algorithm, allowing for ________ ____ _______ _____ _______ ___ ______ __________ ________.
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