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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