On the Subject of Routing

The Minotaur’s Maze is a labyrinth with constantly shifting walls. This seems like something akin to its control panel.

This module contains a 4×3 sliding puzzle, a submit button, and two screens. To solve the module, connect the bottom-left tile to the top-right tile using all of the colored tiles with no paths not attached to another path and press the “QUERY” button.

Colored tiles have tracks like the rest of the tiles, but they cannot be seen. Pressing the “QUERY” button when the puzzle is valid will reveal more information.

  • The puzzle is valid when a path from the bottom-left tile to the top-right tile is formed. Paths may be disconnected.
  • If the “QUERY” button is pressed when the puzzle is not valid, the module will strike and reset to its original state.

When the “QUERY” button is pressed successfully, it will show a series of flashing colors, potentially just one, with a black screen in between.

  • The colors are dependent on the colored tiles used in the path, so it’s important to use the correct set of colored tiles each time.

Every query should include every colored tile whose tracks are known. To decide which query determines what colored tile…

  • The first query determines the colored tiles in the…
    First row if there are more lit indicators than unlit indicators,
    Second row if there are more unlit indicators than lit indicators,
    or the third row otherwise.
  • The second query determines the colored tiles in the…
    Top undetermined row if the first digit of the serial number is even,
    or the bottom undetermined row otherwise.
  • The third query determines the last undetermined row.

To find out what tracks belong to which colored tile from a query, use the table below.

  • Each pair of colors corresponds to the nth colored tile in the row.
  • For each pair, take the row of the left color and the column of the right color in the below chart, revealing four possible tracks.
  • Then, take the track that’s in the same position in the table as the tile is in the row in reading order (leftmost tile takes the first track, etc.).
Red Orange Yellow Green Cyan Blue Pink White
Red
Orange
Yellow
Green
Cyan
Blue
Pink
White