# Floor Function: Can you solve?

Algebra Level 4

Find the number of ordered pairs $$(x,y)$$ satisfying the equation $$2\lfloor \sin^2x - \cos y + 1\rfloor + 1= 2 \lfloor \cos y \rfloor$$.

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

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