Haunted-Mirror
The game that is 2017-18's project for UE projet Techno
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This game was originally invented by David Millar, under the name 'Haunted Mirror Maze'. A demo of this game is provided in the Simon Tatham's Portable Puzzle Collection, under the name 'Undead'.
The game board is a grid of 4x4 squares, that initially contains some diagonal mirrors (/ or \). The aim of the game is to place a ghost (G), a vampire (V) or a zombie (Z) on each empty square of the board, so that the expected number of monsters (given by labels on the four sides) can be seen in each direction, and the total number of monsters of each type match the indicated number.
Starting from the edge of the board (on the N, S, E or W side) at a given position, your line of sight draws a path that is reflected successively by mirrors before it exits through another side. On this line of sight, Ghosts are only visible when reflected in at least one mirror, vampires are visible unless they are reflected in a mirror, while Zombies are always visible. For further details on the rules, see here.
We use coordinates for the squares of the grid, (0,0) being the bottom left corner, and the first coordinate indicating the column.
| Z:5 V:2 G:2 | Z:5 V:2 G:2 | | | | | 0 3 3 0 | 0 3 3 0 | | | | | 3 \ / 2 | 3 \ V V / 2 | | 3 \ 3 | 3 \ Z Z Z 3 | | 2 \ / 0 | 2 Z G \ / 0 | | 0 \ \ 0 | 0 \ Z G \ 0 | | | | | 0 3 2 3 | 0 3 2 3 | | | | | start | solution |
Observe for example that the label 0 on the left of North line says that no monster should be visible from there, thus squares (1,3) and (2,3) must contain monsters not visible when reflected in a mirror, that is Vampires.