by ohthatpatrick Tue Oct 24, 2017 6:06 pm
There are couple things going on in this game, but any time a game has SOME ordering component, you should make the diagram reflect that ordering going from left to right.
So we definitely want 1pm, 2pm, 3pm to be our columns.
For each timeslot, we need a space for west and a space for east, so I would make two rows:
w: __ __ __
e: __ __ __
.....1..2...3
We have some ordering rules like
U - G
and
.....O
... /
M
....\
......P
and we know S is in the top row and U is in the bottom one.
w: __ __ __ (S)
e: __ __ __ (U)
.....1..2...3
If I could draw in this environment, we could also put a cloud over the three 'w' spots with S in it, and a cloud over the 'e' spots with U in it.
I also would not bother drawing two sets of blanks each time. I would just write 3 blanks and write above and below them like this
w: __ __ __
e:
We could go to the questions at this point, at which point we would want to do all the "If" questions we can find so that we can get some possible scenarios on the page. Or, we would go farther with the up front deductions / consider framing.
I asked myself, "Who's most limited / interesting?" and thought that M was the juiciest. If we place M at either of the 2pm spots, then O and P are going to have to fill up the 3pm hour, so I was tempted to frame M's possibilities:
1pm east, 1pm west, 2pm east, 2pm west.
For many people, that's too many frames, but since these only involve 6 things, I thought it was quick enough to see if they went anywhere.
STEP 1: create the four frames
w: __ , M, ___
e: __ , __ , ___
w: __ , __ , ___
e: __ , M , ___
w: M , __ , ___
e: __ , __ , ___
w: __ , ___ , ___
e: M , __ , ___
STEP 2: see where the juiciest ones go (putting M in 2pm auto-triggers O and P in 3pm)
w: __ , M, O/P
e: __ , __ , P/O
w: __ , __ , O/P
e: __ , M , P/O
We still have S in the top row, U in the bottom, and U - G, so that gives us
w: S , M, O/P
e: U , G , P/O
w: S , G , O/P
e: U, M , P/O
STEP 3: how about those other frames? if they don't go anywhere, just go to questions
w: M , __ , ___
e: __ , __ , ___
w: __ , ___ , ___
e: M , __ , ___
In both cases, the most interesting spot is the leftover 1pm spot. It can't be G, O, or P, because of their ordering rules. It has to be S or U, so we know ...
w: M , __ , ___
e: U , __ , ___
w: S , ___ , ___
e: M , __ , ___
On the 2nd frame, we have to make sure that U is 2pm and G is 3pm, but we don't care whether G is west or east.
On the 1st frame, we have to put S up top, but G, O, P are free to take any of the remaining spots.
w: M , __ , __ .... S has to take one of those two top spots
e: U , __ , ___ .... G, O, P can have any of those four spots
w: S , O/P , ___
e: M , U , ___ ..... P/O and G can take either 3pm spot
The frames end up being pretty robust and make tackling the questions relatively easy. Why did we frame M's four positions? He was the most limited (TWO things come after him), and so placing him triggers the most stuff.
Try the questions again, using these frames.
w: S , M, O/P
e: U , G , P/O
w: S , G , O/P
e: U, M , P/O
w: M , __ , __ .... S has to take one of those two top spots
e: U , __ , ___ .... G, O, P can have any of those four spots
w: S , O/P , ___
e: M , U , ___ ..... P/O and G can take either 3pm spot