## June 2007, Game 2, Setup

### Transcript

A game to aim to is a hybrid game. It's a hybrid between ordering and a floating grouping game. Because in one sense if we look at the setup, we see that we have three films that we have to put on three different days, which suggests ordering. But also we're allowed to have more than one film a day. We have to have at least one film a day.

We could have more than one film a day. So we're building groups of one to three movies, and those groups are in an order, Thursday, Friday and Saturday. Since they say that each film is shown at least once we know we're gonna have to see a G and H and L when we could see more than one just not more than one on the same day.

So that's gonna suggest a modified version of a ordering sketch. Normally, when you make an ordering sketch, you're just gonna write Thursday, Friday, Saturday, and put one space above them. But here we need to leave room for up to three things on a day. Now the rules for this game are all really similar, and the most important thing to notice about them is that they're all talking about the film that is going to be shown last.

No film is shown after Harvest on Thursday, says rule one. On Friday, you have to show either G or L, but you can't show anything after it. And the same for the rule three, on Saturday you have either G or H but no film after it. So we're gonna need to invent a new symbol to indicate the last film on a day. It's not something that we normally have to keep track of.

Normally, we only have one thing per day. So the way I handle this is to draw a line to indicate the end of the day, and then to put the space that's right up next to that to say that's the last space on that day. So by rule one, we're gonna put H on that Thursday, by rule two, we're gonna put either G or L, and by rule three, we're gonna put either G or H on to Saturday.

Now there's an additional component to those last two rules. We're told that we also can't show both of the films on those days. The first rule which is just about H doesn't have that as part of it. So all that means is we need to add a little note to ourselves. No GL and no GH. In logic the squiggle means not.

So now when you get to the rules, you need to decide, do you have enough to go on or do you need to make some deductions before you hit the questions? Here there aren't really any deductions or inferences that we can make. The closest thing is maybe we should put a note here we have G, H and L and each of them we have to use at least one time. So one or more each, but that's pretty much all we can say.

We know now that we can't have nine films total, because there were originally three films and you could show them up to three times, 3 x 3 is 9. But now we've been told on Friday and Saturday you can't have two of them together. So the maximum we could get on Friday would be H and either G or L. The maximum would be on Saturday would be L and either G or H.

And then Thursday could still have everybody as long as G and L are in front of H, who's the last one. If you look over the questions, you can see that a lot of them are ifs and the more ifs you have, the less you're going to need a lot in your setup originally. So put a box around it and then move on to the game.

Then if you're following the recommended question order, you're gonna start with question six, which is one of those global questions that asks you for a complete possible outcome of the game. You'll skip seven, head on to eight, nine, and ten because they are local questions that provide you with rules, they let you play through the game a little bit. And then you go back to seven having played through the game, and maybe you'll be able to use some of your previous work there on that question.