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 Post subject: E42, S1, G3 - A bakery makes exactly three kinds of cookie
 Post Posted: Thu Oct 15, 2009 7:32 pm 
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Jackie Chiles
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November, 2009
I struggled with the diagram for this game. I read it as an open assignment game, with type of cookie made being assigned to day of the week. I set up the board with M T W R F along the bottom and knew that I would have to insert 3 Os, 3 Ps, and 3 Ss into the slots.

The first constraint that "no two batches of the same kind of cookie are made on the same day" led me to write three possible openings above each day of the week. So I had a total of 15 possible slots with 9 items that needed to be placed (ie, 6 slots would be left blank).

After this is where it got tricky for me. By the time I got to the questions I had eaten up a lot of time and my diagram told me practically nothing. Can someone explain a good way to setup this game?


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 Post subject: Re: E42, S1, G3 - A bakery makes exactly three kinds of cookie
 Post Posted: Fri Oct 16, 2009 9:33 am 
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Hey Gregory. Your instincts were good. This is an open assignment game with three available slots for each day. I think maybe you got concerned by the fact that there really aren't many inferences to be made for this game (certainly many fewer than most open assignment games). Notice that most of the questions are "If" questions... conditional questions. This is a sign that the setup itself won't give us much information, and that the new "If" information given in the questions is going to allow us to make some inferences for each individual question. In other words, what they're essentially saying is, "Look, we know we didn't give you much in the setup, so we're going to give you some additional rules in the question stems to help you out."

Now, this won't always be the case, but it should help reduce any anxiety you might have about coming away from the setup with very few inferences.

All that said, there are a few things we can figure out in the setup. I'm attaching my version here.
Attachment:
Take a look and see if you can see where the inferences came from.

Hope it helps.

dan


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 Post subject: Re: E42, S1, G3 - A bakery makes exactly three kinds of cookie
 Post Posted: Fri Nov 06, 2009 2:27 am 
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Vinny Gambini
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Dan - your diagram helped me a lot - thank you.

Just to reiterate from your diagram for others who are checking your diagram too:
On your diagram attached, you have the following:

1. S on Friday b/c they tell us the "2nd batch of Sugar is on thursday" hence the 3rd batch must be on Friday and first batch either MTW.

2. You drew three O--O--O to indicate the separate days that Oatmeal has to be served, and you put a P underneath the 2nd one b/c the constraint tells us that the 1st batch of P comes with 2nd batch of O. So if you do that, then from relative ordering rules, you can't have P in first slot.

3. From # 2 above, that is why you crossed off a P under Monday, and crossed off an open slot at position 3 for Monday b/c it will never be filled in since P has been cancelled out as an option.


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 Post subject: Re: E42, S1, G3 - A bakery makes exactly three kinds of cookie
 Post Posted: Wed Nov 25, 2009 10:08 pm 
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Vinny Gambini
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ugh...thank you for this diagram dan!


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 Post subject: Re: E42, S1, G3 - A bakery makes exactly three kinds of cookie
 Post Posted: Fri Aug 27, 2010 4:29 pm 
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Vinny Gambini
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I just completed this game, albeit after far too long and after looking over this thread. The phrasing of the question and constraints, as well as their similarities to 3D games, caused me to take far too long on diagramming.

Are there any surefire ways to identify this problem and understand the proper way to diagram it (i.e M,T,W,TH,F on bottom cookies on top), while avoiding time consuming confusion from the start?


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 Post subject: Re: E42, S1, G3 - A bakery makes exactly three kinds of cookie
 Post Posted: Tue Aug 31, 2010 11:20 am 
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I hesitate to say "without exception," though it seems that way, but suffice it to say that the vast majority of the time, when there is any kind of order suggested (like days of the week or times of day, or numbered slots), that order should form the "base" of your diagram.

Either you'll be ordering things explicitly, or assigning various things to different days, which is essentially the same mechanism.

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