Geometry and Elementary Number Theory

Geometry Level 4

Let $$O$$ be the origin. Given that the coordinates of the points $$A$$ and $$B$$ are $$(0,n)$$ and $$(m,0)$$ respectively, where $$m$$ and $$n$$ are integers. If the coordinates of the in-centre of $$\triangle OAB$$ are $$(3,3)$$, then how many ordered pairs of integers $$(m,n)$$ are there?

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