A uniform solid ball of mass \(m\) rolls without slipping down a wedge of mass \(2m\) and angle \(45^\circ\), which itself can slide without friction on a horizontal floor. The acceleration of the ball relative to the wedge can be expressed as \(\dfrac{p}{q}\sqrt{2}g\), where \(g\) denotes the gravitational acceleration. Calculate \(q-p\).

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