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The modulus remainder operator in Java is defined in the Java Language Specification, Second Edition, Section 15.17.3, paragraph 3:

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Although clearly defined in the Java specification, the behavior is undefined in several early C implementations and a more general algebraic solution assumes a positive resultit is represented by the same symbol as the modulus operator, which always returns a positive value. Therefore, it is possible to have unintended behavior from use of this operator.

The result of the modulus remainder operator implies the following behavior:

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