If the probability that the absolute value of the difference of any two consecutive squares has the value as of any number in the arithmetic progression \( 3, 9, 15, 21, 27, \ldots\), can be expressed as \( \dfrac ab\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).

Submit 0 as your answer if you think that the probability is zero.

Try Part I.

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