Kvant

Rough automatic draft, low quality: expect mistakes and awkward wording. It will be replaced by a better translation. Original →

GAME WITH DOMINO

This game can be played by several people, but we will assume that there are only two players. Everyone does the following: while his partner leaves the room, he turns all 28 dominoes over to the reverse side and, completely randomly, forms a 7x8 rectangle out of them. Then he, turning over the domino bones, writes down the best location of the dots, filling in the numbers corresponding to the cells of the drawn lattice, but does not indicate the location of the domino bones themselves. Players then exchange completed cards and

The winner is the one who first comes up with a way to construct such a lattice. Since some versions of the 7x8 lattice allow more than one solution, there is no need to debug exactly the initial arrangement of dominoes from which the lattice was obtained.

The lattice shown above allows one solution. Having successfully dealt with it, you can try to deal with the very difficult second grid. These two lattices were proposed by Warsaw film critic Lech Pianowski. The second allows at least two solutions.