Setup and Rule Diagrams

[Dave Killoran]

Setup and Rule Diagram Explanation

This is a Pure Sequencing: Identify the Possibilities game.

The eight rules of the game can be combined to form the following diagram:

Oct91_Game_#1_setup_diagram 1.png

This sequence controls the placement of variables over the seven days of hiring. Given the comprehensive nature of the sequence, and the relatively few uncertainties, the game does not appear to be overly difficult. In fact, there are only two possible solutions to this game:

Oct91_Game_#1_setup_diagram 2.png

Although seeing the two solutions drawn out is helpful, it is not necessary because the sequence alone is so powerful that it is sufficient to answer most of the questions.

[hegna018@umn.edu]

How do we know J is 6? Couldn't CG be 6?

[Adam Tyson]

That wouldn't be possible, hegna018, because according to the rules, J must be hired some day earlier than the day on which G was hired. Putting CG 6th would flip that order. The first two days must be FI and H, in either order. After that, the order is completely fixed by the interaction of the rules, and changing it in any way will violate at least one of those rules.