Two vandals, Ug and Mug, attack a shop window made of a single pane of glass. Whenever Ug strikes a piece of glass, it breaks into 7 pieces. Whenever Mug strikes a piece of glass, it breaks into 10 pieces. Is there some combination of strikes by the two vandals that will result in there being exactly 2000 pieces of glass?
I give up, show me the solution.