Intersection!

Geometry Level 4

Find the number of intersection points of the following curves:

\[\large y= \lfloor | \sin x | \rfloor + \lfloor | \cos x | \rfloor , \qquad x^2+y^2 = 2 \]

\[ \]

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

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