Game Setup
This is an In-out Sequencing Game. We know there are five pens, each animal taken from either four kittens or four puppies.
Rule 1 says the first and fifth pens hold kittens.
Rule 2 says T (puppy) can’t be next to any kitten. This means T, if included, can only be third.
Rule 3 says we must include either G or H, but not both.
Rule 4 gives us a condition: if W is included, then G must be in the second pen. Remember this means G can be in the second pen, without W being included.
We can essentially divide this game into three scenarios.
First, we’d have W in. This means G (kitten) is second. Rule 1 tells us that first and fifth are all kittens, meaning that T cannot be in, since it would then be next to kittens in spots three or four.
So basically, if W ➔ T. Since G is in, Rule 3 says H is out. So F and J will have to be one and five, and W and one of R or S will fill spots three and four.
Scenario 1
In scenario 2, T is in. Since it can only go next to puppies, T will have to be third, and second and fourth are both puppies. In this scenario, we know that W is out, so R and S are second and fourth. We can infer that if T is included, then T is third.
Scenario 2
In scenario 3, we can have both W and T out. This doesn’t tell us too much, but we know that R, S, F, J and one of G or H will be in.
Scenario 3
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