Solution to the pillow chess problem. First notice that white can't move its rook at h4, since this would disclose check by black's bishop at g5! As well, e2 and f1 are covered by black's bishop at d7. Thus black is threatening mate in three ways: Rfl, Nfl and Nxe2. White can avoid all these attacks only by playing Rei, in which case black mates with RxR.