LG Problem Set #2 Game 18

[moshei24]

Hi,

I did this game for the second time today, and didn't find it any easier than I did the first time.

I feel like it's the kind of game that just requires diagramming each question, and figuring it out that way, but is there a quicker way to do it?

I would write out the rules and inference I put down, but due to the complexity of the game, the diagramming is also a bit complex.

Can you explain to me how to do this question quickly? Or is it specifically designed to be time-consuming?

Thanks!

[Adam Tyson]

There is definitely a good global diagram to start with, and there are even some templates you can create.

Start with visualizing it - it's three rows of seats on a bus, on the left side. I did it by imagining I am looking down on the bus from above, with the front at the top and the back at the bottom, so that I have a column of 3 window seats on the left and a colum of 3 aisle seats on the right. Something like this:

1. __ __
2. __ __
3. __ __
.W. .A.

You have a vertical block of GH, which has to be in column A, so you can put not laws for G and H under column W. You can also begin to think of templates, since there are only two places for that GH block to go (G in 1A, H in 2A or G in 2A, H in 3A).

The interplay of the remaining rules give you a couple of solutions to get you started. For example, if K and G are in the same row (forcing K into column W), that forces a vertical IM block that could only fit in column W. The result is that you get this solution:

1. KG
2. IH
3. ML

(Putting the KG block in row 2 won't work - you then have to split up the IM block).

If M is in column A, you get an LH block. If you try to put that block into row 3, then M cannot be in row 3, meaning K has to go in column A (contra-positive of one of our rules), which is already full with M, G and H. That means the LH block can only go in row 2, and it looks like this:

1. IG
2. LH
3. KM

(note that K has to go to row 3 here, because otherwise K is with G, forcing us back to the previous solution).

From there you can play with the templates. What if G is in row 2 - where can you put K? I get two templates there. Any other solutions with G in row 1? Again, try K in several places to see what happens, since K dictates so much.

Once you have a handful of solutions and templates like this, the questions should go very quickly.

Adam

[moshei24]

So when doing templates I saw that there would be a lot of them, and then when they would ask questions, it would be hard to know if your templates encompass enough. That's why I was thinking templates wouldn't be the move here, but instead diagramming for each question. I feel that making templates in this case is really time consuming in this case, and it doesn't result in complete confidence. You don't think diagramming for each question is more efficient?