Setup and Rule Diagrams

[KelseyWoods]

Setup and Rule Diagram Explanation

Basic Linear, Unbalanced, Underfunded

In this game we have two variable sets: days of the week (Sunday-Saturday) and doctors (G, H, K , L, N, P). The days of the week have an inherent order to them and we have sequencing rules involving our doctors. That makes this a Basic Linear game.

Since we have 7 days of the week and only 6 doctors, this game is Unbalanced and Underfunded. The scenario tells us that we have exactly one doctor assigned to each day and each doctor must be assigned to at least one day, we know that the numerical distribution is : 2-1-1-1-1-1. So one doctor will be assigned to 2 days; five doctors will be assigned to 1 day.

In a Linear game, whichever variable set has the most inherent order should be our base. That means that we will use the days of the week as our base:

Screen Shot 2020-04-27 at 2.40.14 PM.png

Rule #1: The first rule tells us that the doctor who is assigned to 2 days will have to work on Saturday and Sunday. We can draw an arrow between Saturday and Sunday to indicate that the same doctor must work on both days.

Screen Shot 2020-04-27 at 2.58.45 PM.png

Rule #2: Since we already know that the doctor who is working 2 days must work on both Saturday and Sunday, we can just add Not Laws showing that Graham cannot work on Saturday or Sunday.

Screen Shot 2020-04-27 at 2.59.59 PM.png

Rule #3: This is a Block rule showing that we must have a GK or KG block.

Screen Shot 2020-04-27 at 4.09.08 PM.png

Rule #4: This is a Not Block showing that H and N can never be next to one another.

Screen Shot 2020-04-27 at 4.10.58 PM.png

Rule #5: This places Park on Tuesday, giving us a final diagram that looks like this (with L as a random):

Screen Shot 2020-04-27 at 4.14.57 PM.png

The questions in this game end up hinging a lot on our GK/KG Block and NH/HN Not Block rules and how they are impacted by where other variables go. Remember that you'll always need to have room for K & G to be adjacent and you can never have N & H next to one another.

There is an advanced inference in this game that you probably would not get upfront, but would need to figure out when you get to question #23. We'll leave it off of our diagram for now because for some inferences, it's often unlikely that you would be able to make them quickly during your original setup and you will be better able to make them efficiently when you get to a question which requires it.

[dsamad]

Hi there,

I am not sure why I cannot see the setup. Is there a technical error?

Thank you.

Regards,

Dalaal J

[KelseyWoods]

Hi Dalaal J!

We do not have every explanation for every game/passage/question up on our forum at this time--but we're working on it! We prioritize those questions that users ask about. So I have included a setup for this game here. If you find that you have questions about other questions that we have yet to post a full explanation for, just ask! It helps if you can be specific in your question, (describing exactly what's tripping you up, which answer choices you are curious about, etc.) so we can make sure we are addressing your specific concerns.

Hope this helps!

Best,
Kelsey

[annie63]

Hi Kelsey,
Would you post the advanced inference? I can't figure out what it is and am trying to speed up on games.
Thank you!

[Jeremy Press]

Hi annie,

That advanced inference is that L cannot be assigned to Friday. It's not an inference that would immediately leap out to most people (including me!) because it involves the random variable in the game, and we generally don't think of randoms as overly restricted.

I'll be honest that I don't think it's productive to look for this inference in advance of answering the questions. It would require a pretty encyclopedic overview of the game's options that isn't realistic under timed conditions.

That said, here's why L cannot be assigned to Friday:

If L were assigned to Friday, then it could not be assigned to Saturday (or Sunday), and neither could G or P (G because of global rules, P because of its placement on Tuesday). That would leave H, N, or K for Saturday/Sunday.

If H or N were on Saturday/Sunday, the GK block would have to be placed on Wednesday/Thursday, per below:

Screen Shot 2020-09-26 at 11.11.30 AM.png

That would mean the remaining member of the H/N pair would have to be on Monday, next to the other one of H or N on Sunday, violating the HN not block rule.

If K were on Saturday/Sunday, then G would be on Monday, forcing H and N into Wednesday and Thursday, again violating the HN not block rule, per below:

Screen Shot 2020-09-26 at 11.04.52 AM.png

I think you'll agree that's a pretty rough inference to expect to see at the beginning of the game. But the good news is that if you've done plenty of local question diagramming on questions 19-22, you'll likely have plenty of sources to eliminate wrong answers on question 23, such that you shouldn't have to test more than one or two answers on question 23.

I hope this helps!

Jeremy

[momgoingbacktoschool]

Setup and Rule Diagram Explanation

Basic Linear, Unbalanced, Underfunded

In this game we have two variable sets: days of the week (Sunday-Saturday) and doctors (G, H, K , L, N, P). The days of the week have an inherent order to them and we have sequencing rules involving our doctors. That makes this a Basic Linear game.

Since we have 7 days of the week and only 6 doctors, this game is Unbalanced and Underfunded. The scenario tells us that we have exactly one doctor assigned to each day and each doctor must be assigned to at least one day, we know that the numerical distribution is : 2-1-1-1-1-1. So one doctor will be assigned to 2 days; five doctors will be assigned to 1 day.

In a Linear game, whichever variable set has the most inherent order should be our base. That means that we will use the days of the week as our base:

Screen Shot 2020-04-27 at 2.40.14 PM.png

Rule #1: The first rule tells us that the doctor who is assigned to 2 days will have to work on Saturday and Sunday. We can draw an arrow between Saturday and Sunday to indicate that the same doctor must work on both days.

Screen Shot 2020-04-27 at 2.58.45 PM.png

Rule #2: Since we already know that the doctor who is working 2 days must work on both Saturday and Sunday, we can just add Not Laws showing that Graham cannot work on Saturday or Sunday.

Screen Shot 2020-04-27 at 2.59.59 PM.png

Rule #3: This is a Block rule showing that we must have a GK or KG block.

Screen Shot 2020-04-27 at 4.09.08 PM.png

Rule #4: This is a Not Block showing that H and N can never be next to one another.

Screen Shot 2020-04-27 at 4.10.58 PM.png

Rule #5: This places Park on Tuesday, giving us a final diagram that looks like this (with L as a random):

Screen Shot 2020-04-27 at 4.14.57 PM.png

The questions in this game end up hinging a lot on our GK/KG Block and NH/HN Not Block rules and how they are impacted by where other variables go. Remember that you'll always need to have room for K & G to be adjacent and you can never have N & H next to one another.

There is an advanced inference in this game that you probably would not get upfront, but would need to figure out when you get to question #23. We'll leave it off of our diagram for now because for some inferences, it's often unlikely that you would be able to make them quickly during your original setup and you will be better able to make them efficiently when you get to a question which requires it.

Isn't the third rule actually stating G --> GK or KG so K could theoretically be Sunday and Saturday. But if that's the case you realize G would have to go Friday and not Monday because of the H and N rule. So the second set up posted by another instructor would be incorrectly having not K's under Saturday and Sunday?

[Jeremy Press]

Setup and Rule Diagram Explanation

Basic Linear, Unbalanced, Underfunded

In this game we have two variable sets: days of the week (Sunday-Saturday) and doctors (G, H, K , L, N, P). The days of the week have an inherent order to them and we have sequencing rules involving our doctors. That makes this a Basic Linear game.

Since we have 7 days of the week and only 6 doctors, this game is Unbalanced and Underfunded. The scenario tells us that we have exactly one doctor assigned to each day and each doctor must be assigned to at least one day, we know that the numerical distribution is : 2-1-1-1-1-1. So one doctor will be assigned to 2 days; five doctors will be assigned to 1 day.

In a Linear game, whichever variable set has the most inherent order should be our base. That means that we will use the days of the week as our base:

Screen Shot 2020-04-27 at 2.40.14 PM.png

Rule #1: The first rule tells us that the doctor who is assigned to 2 days will have to work on Saturday and Sunday. We can draw an arrow between Saturday and Sunday to indicate that the same doctor must work on both days.

Screen Shot 2020-04-27 at 2.58.45 PM.png

Rule #2: Since we already know that the doctor who is working 2 days must work on both Saturday and Sunday, we can just add Not Laws showing that Graham cannot work on Saturday or Sunday.

Screen Shot 2020-04-27 at 2.59.59 PM.png

Rule #3: This is a Block rule showing that we must have a GK or KG block.

Screen Shot 2020-04-27 at 4.09.08 PM.png

Rule #4: This is a Not Block showing that H and N can never be next to one another.

Screen Shot 2020-04-27 at 4.10.58 PM.png

Rule #5: This places Park on Tuesday, giving us a final diagram that looks like this (with L as a random):

Screen Shot 2020-04-27 at 4.14.57 PM.png

The questions in this game end up hinging a lot on our GK/KG Block and NH/HN Not Block rules and how they are impacted by where other variables go. Remember that you'll always need to have room for K & G to be adjacent and you can never have N & H next to one another.

There is an advanced inference in this game that you probably would not get upfront, but would need to figure out when you get to question #23. We'll leave it off of our diagram for now because for some inferences, it's often unlikely that you would be able to make them quickly during your original setup and you will be better able to make them efficiently when you get to a question which requires it.

Isn't the third rule actually stating G --> GK or KG so K could theoretically be Sunday and Saturday. But if that's the case you realize G would have to go Friday and not Monday because of the H and N rule. So the second set up posted by another instructor would be incorrectly having not K's under Saturday and Sunday?

Hi mom,

Yes, ran a little too quickly through that post when originally posted! I've edited the explanation above to reflect that additional possibility (which leads to the same inference that L cannot be on Friday).

Thanks for the catch!