cat & mice on chessboard riddle

Four white pieces (the mice) are placed on one side of a chessboard, and one black piece (the cat) is placed at the opposite side. The game is played by the following rules:

black wins if it reaches the opposite side;
white wins if it blocks black in such a way that black cannot make any move anymore;
only diagonal moves (of length 1) on empty squares are allowed;
white only moves forward;
black can move backward and forward;
black may make the first move, then white makes a move, and so on.

Is this game computable (i.e. is it possible to decide beforehand who wins the game, no matter how hard his opponent tries to avoid this)?

SherlockHolmes Expert Asked on 8th October 2018 in Hard Riddles.
Add Comment

  • 0 Answer(s)
  • Your Answer

    By posting your answer, you agree to the privacy policy and terms of service.
  • More puzzles to try-

  • Tags