\[\sin \left( \frac{\pi}{5} \right) \sin \left( \frac{2\pi}{5} \right) \sin \left( \frac{3\pi}{5} \right) \sin \left( \frac{4\pi}{5} \right) \]

If the value of the expression is equals to \(\dfrac AB\) for coprime positive integers \(A\) and \(B\), submit your answer as \(B - A\).

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