Let $ p,q$ be odd primes. Define the function $ f:\mathbb{Z}_{pq}\to \mathbb{Z}_{pq}$ by $ f(x+yp)=qx+y$ , where $ x\in \mathbb{Z}_{p}$ and $ y\in\mathbb{Z}_{q}$ . How does one calculate the number of inversion points for $ f$ ?
A complete solution would be quite helpful.
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