Setup and Rule Diagrams

[Dave Killoran]

Setup and Rule Diagram Explanation

This is an Advanced Linear: Unbalanced: Underfunded game.

The initial diagram for this game appears as follows:

J97_Game_#2_setup_diagram 1.png

Because each psychologist must teach at least once, and the three psychologists must fill four teaching spaces, one of the psychologists must teach twice. The same is true for the nurses. Thus, because the nurse variable set and the psychologist variable set are underfunded, one variable in each set must be used twice, leading to a 2-1-1 distribution for each set.

The second rule helpfully establishes that L teaches on day 3:

J97_Game_#2_setup_diagram 2.png

Note that L could teach twice, so this placement does not eliminate L from further consideration on the others days.

The third rule establishes two not-blocks. These will be shown vertically as our diagram has a vertical aspect:

J97_Game_#2_setup_diagram 3.png

These not-blocks allow for an immediate inference: because T cannot teach with F or L, T must teach with J:

J97_Game_#2_setup_diagram 4.png

The fourth rule adds S to the block just created:

J97_Game_#2_setup_diagram 5.png

The fifth rule adds another variable to the block above, creating a powerful super-block:

J97_Game_#2_setup_diagram 6.png

Because T is tied to J, and J is tied to S, and S is only be taught once, it follows that T and J can only teach once. Thus, psychologist V or W must teach twice, and nurse F or L must teach twice.

The size of the block also creates placement issues. Because L must teach on day 3, the TJSM block must be scheduled for either days 1 and 2 or days 2 and 3. Thus, T, J, and S cannot be scheduled for day 3, and T, J, S, and M cannot be scheduled for day 4. These inferences directly help answer questions #9 and #10. Additionally, S or M must be taught on day 2, and R or O must be taught on day 4. These inferences help answer question #14.

The final diagram for the game is as follows:

J97_Game_#2_setup_diagram 7.png

[srcline@noctrl.edu]

Hello,

I am having a hard time with the setup of this game. Is this a numerical distribution. My base was the four consecutive days, but I'm confused as to how the medical training sessions fit into this set up. Also the six professionals part is throwing me off as well.

Thankyou
Sarah

[Nikki Siclunov]

Hi Sarah,

You have the correct variable set chosen as your base - the days have an inherent order to them and should serve as the base. Now, ask yourself this: for each of these days, what do you need to keep track of? The name of the session (1), the nurse (2), and the psychologist (3). So, you need three stacks on top of the four days to keep track of these three separate variable sets.

• __ __ __ __ (psychos)

• __ __ __ __(nurses)

• __ __ __ __(sessions)

• 1 2 3 4

The game certainly has a numerical distribution element, as there are only three nurses and only three psychologists teaching the sessions. But, everyone teaches at least once, so the distribution governing the assignment of nurses to sessions is 2-1-1. Same with the psychologists.

As you go through the rules, you will notice that T can only teach with one of the nurses, who can only teach one session. This is powerful inference that ultimately allows you to form an L-shaped block. Since there are only two ways the block can be placed in your setup, you should consider undertaking a Templates-based approach.

Let me know if this helps you get started. The game is explained in the homework to Lesson 4 of our FL LSAT course, FYI.

Thanks!