# Bouncing Photon

A photon moving at speed $$1$$ in the $$xy$$-plane starts at $$t = 0$$ at $$(x, y) = (0.5, 0.1)$$ heading due east.

Around every integer lattice point $$(i, j)$$ in the plane, a circular mirror of radius $$\frac{1}{3}$$ has been erected.

How far from the origin is the photon at $$t = 10$$?

 Note: This problem might need computational aids for solving