# Which one of the following could be true?

cholman on May 31, 2020

question help

can you please explain how this game is supposed to be set up? i also really understand what the rules are saying either. is this an uncommon type of logic game?

SamA on June 1, 2020

Hello @cholman,

I would say this is an unusual linear game, because we are placing variables that take up two spots (LL or RR). Also, some variables are going to have to share spots. However, there is nothing here that you shouldn't be able to handle. I'll set this one up.

We have four two-day workshops: L, P, R, and S spaced out over 5 days.

_ _ _ _ _
M T W Th F

Rule 1 tells us that the days are consecutive: LL, PP, RR, SS

Rule 2: At least 1 workshop each day, but we cannot have 3 in one day.

Rule 3: I'm guessing this is the one you had trouble with. It is really saying this: Production can't be on the same day as Lighting. It also cannot be before Lighting.
LL - PP
The same goes for Rehearsals
LL - RR

This really limits when the Lighting workshop can happen. It cannot be on Thursday or Friday, or else there would be no space for the P and R workshops. This gives us two options.

1.
L L _ _ _
M T W Th F

2.
_ L L _ _
M T W Th F

I will add P and R accordingly.

1.
S R
L L P
M T W Th F

2.
S R R
S L L P P
M T W Th F

In diagram 1, I know that LL and PP must be on the last three days, but I don't know exactly where. However, both of them must take place on Thursday, so I have added that to the diagram. The other days may take place on Wednesday or Friday.

As 4 diagram 2, it is completely solved! If LL takes place on Tuesday and Wednesday, then RR and PP must be on Wednesday and Friday. This leaves Monday and Tuesday for SS.

These 2 diagrams will provide everything you need to answer the questions. Again, they are based on the possible placements of LL.