Second Floor

Algebra Level 5

If y=2x+5=3x4y=\left\lfloor 2x+5 \right\rfloor =3\left\lfloor x-4 \right\rfloor and the product of all the distinct values of 3x+y\left\lfloor 3x+y \right\rfloor is AA, find Amod2016A \bmod{2016} .


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

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