Find a move for White, which does not result in a mate.
The move is Rc6+. Then Black can play Rxh7.
Karl Fabel (1905 – 1975) is considered one of the most ingenious chess composers and one of the fathers of retrograde analysis. He composed around 1250 problems of all varieties and studied chess problems of a mathematical nature, such as the Eight queens puzzle, the Knight's tour and Shannon's number.