PT21 Section 1 LG1 Forum

[js1663]

Can someone write down the rules and deductions they got from this game before going into the questions? To date this is the only game I can't figure out and I can only assume I'm missing something.

What I got was that there are 3 types of rooms, rooms with 1, 2, or 3 people.
STV ≠ Singles
KL ≠ Triples
L ≠ R
K = P

I assumed the following since I did not see anything in the games that says otherwise: that people can be split up (i.e. ST + 1 other are in a triple and V is in a single), As well as that, while L & R are not together they can both be in separate singles.

Any help would be appreciated. In addition I'd be curious to hear what setup people used for this.

[CardozoLaw09]

I assumed the following since I did not see anything in the games that says otherwise: that people can be split up (i.e. ST + 1 other are in a triple and V is in a single), As well as that, while L & R are not together they can both be in separate singles.

Well we know V can't be assigned to a single from the 2nd rule; V would have to either be in a double or a triple.

The only real deduction you can make from this game is that KP share a room together and no one else; we know that no 4th year students can be assigned to a triple, and K being a 4th year student means only P can be assigned with K, given the last rule.

"R" is also another key variable here because R can be assigned to a single, double, or a triple so it's important to recognize R's flexibility here.

Also, you're right that L and R can be in separate singles, which would mean the other room would have to be a triple with STV

[js1663]

Thanks, I missed the now obvious deduction that KP must be in a double together, which helped tremendously and made the game doable.

[P.J.Fry]

I didn't find you could do a "traditional" setup with this in that I had to write out the rules and make deductions before actually doing any kind of diagram instead of writing a base diagram first and placing rules in it. Once I could figure out how to do a diagram it was very easy.

The way I approached is I saw there has to be minimum 3 rooms (3T 1S or 2D 1T) in order to accommodate the 7 students. There is a maximum of 7 rooms (7S). The rule that STV can't be in singles brings it down to a maximum of 5 rooms. Then seeing that KP must be in a double together, we can deduce the maximum down to 4.

I then wrote two game boards based on 3 or 4 rooms defined by whether L was in a single or double (can't be in a triple).

K P (D)
L _ (D)
R _ _ (T)


K P (D)
L (S)
R ? (S/D)
_ _ ? (D/T)

The rest is easy just filling in STV wherever suited by the question stems. Looking back it would have probably been even easier to sketch out a 3rd game board by taking the two different options from the 2nd. I don't know if that would save enough time to be worthwhile though.