## On the Subject of Coordinates

Column first or row first?

Picture a two-dimensional grid of rows and columns. To disarm this module, determine the size of the grid, determine the positions on the grid that are indicated by the module, and find out which position is duplicated.

Use the left and right arrows on the module to cycle through the clues. One of the clues indicates the size of the grid, the rest is a set of positions on the grid. Select one of the two clues that refer to the same grid position and use the middle button to submit it. Then select the other of those two clues and submit it.

To determine the size of the grid, find the clue that is represented in any of the formats described in Table 1. The italicized letters in the table stand in for a number on the module.

The grid locations may be notated in any of the formats listed in Table 2. The module may also describe locations using words such as “top”, “bottom”, “left”, “right”, “up”, “down”, “center”, “middle”, cardinal directions or clockface directions.

#### Table 1: grid size formats

Format | How to interpret |
---|---|

x | The number x is a product of two primes. The grid’s width is the larger prime, the height the smaller. |

(x) | Same as x, but width and height are swapped. |

x×y | x is the width, y the height of the grid. |

x by y | x is the height, y the width of the grid. |

x*y | x is the total size of the grid, y the height. |

x : y | x is the total size of the grid, y the width. |