Second Floor

Algebra Level 5

If \(y=\left\lfloor 2x+5 \right\rfloor =3\left\lfloor x-4 \right\rfloor \) and the product of all the distinct values of \(\left\lfloor 3x+y \right\rfloor \) is \(A\), find \(A \bmod{2016} \).

\(\)
Notation: \(\lfloor \cdot \rfloor \) denotes the floor function.

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