Diagram

[JayH358]

Can someone provide the diagram and an explanation on how to solve this game? Thanks.

[ohthatpatrick]

We would think of this as an In/Out game, since there are 6 things and we’re only considering for each one whether it’s open or closed.

We’d call it an Open In/Out game, since they didn’t specify how many In, how many Out.

Make a roster
L M N P Q R

and a diagram showing at least one is in
in: ___+ .... out:

Go to the rules:
~N -> R
~R -> N

When we symbolize conditional rules in Grouping games, we can look to see if the right sides match (in terms of talking about the same column). If the right sides match, we can put an “at least” placeholder in that column.

These right sides DO match. They both refer to the IN column, so we can put a R/N+ in the IN column. (put another way ….. since N and R can’t both be closed, AT LEAST one of them will be in)

in: R/N+ | out:

Rules 2 and 3:
..N –> L
~L -> ~N

..R --> M
~M --> ~R

The right sides didn’t match, so no placeholder for those.

Rule 4:
L -> ~R
R -> ~L

This DOES give us a placeholder. The right sides are both talking about the OUT column, so we put an R/L+ placeholder in the out column.

in: R/N+ ... out: R/L+

Last thing to do is check our stack of conditional rules and see whether any of them chain together (does the right side of any of these rules match the left side of a different rule)

~N -> R --> M
~R -> N --> L
..N –> L --> ~R
~L -> ~N --> R --> M
..R --> M
~M --> ~R --> N --> L
..L -> ~R --> N
..R -> ~L --> ~N --> R --> M

We should also circle Q in our roster as a floater, and now we’re ready for questions. If you have questions about any individual question, please go to or create the thread for that specific question.

Let me know if any of that was confusing. You could certainly use the Logic Chain for this game, but given how difficult it is to render that visual in this environment, I’m showing it the classic way.