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KöMaL 2008 B4112

    A billiards ball at corner AA of a rectangular billiards table ABCD is struck. It starts moving along the angle bisector. It rebounds from the sides CDCD, BCBC and finally ABAB, and collides head-on with a ball that is at the centre of the rectangle. In what other direction is it possible to strike the ball at point AA, so that it rebounds from three different sides and then hits the ball at the centre head-on?

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