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- Tue Jan 28, 2020 3:37 pm
#73606
Setup and Rule Diagram Explanation
This is an Advanced Linear, Underfunded, Unbalanced game.
Below is a basic diagram of the setup (scroll down within the picture to view the entire list of diagrammed rules). There are several points to note.
1. The linear component to the game is structured around the four consecutive weeks, which constitute the base.
2. In each week two paintings must be shown, one oil and one watercolor. Because the scenario and rules don't require a determination of which painting comes first in a given week, it is arbitrary which type of painting is placed on top and which on bottom in the diagram.
3. The game is underfunded. There are only 3 oil paintings, each of which must be shown at least once, meaning to fill the 4th week, one oil painting must be shown twice. The same is true of the watercolor paintings.
4. Since no painting can be shown in consecutive weeks, there are only a limited number of options for which weeks the paintings shown twice can be shown. They will be shown twice in weeks: 1 and 3, 2 and 4, or 1 and 4. While there isn't an efficient way to depict that in the setup (templates are not a productive option for this setup, because there are too many possible solutions), it is helpful to make the inference and keep an eye on it in any given solution.
5. Because Gold and Ping cannot be shown together, and because there must be at least one week in which H and S are shown, it cannot be the case that both Gold and Ping are shown twice (though one of them could be shown twice).
6. The final rule is a complicated "unless" form of conditional rule. Use the PowerScore "Unless Method" for diagramming unless statements. Step one is to make the "unless" clause the necessary condition. Here, "I is shown in week 1" is the necessary condition. Step two is to negate the remaining condition and then diagram it as the sufficient condition. The negation of "H cannot be shown earlier than the third week" is "H is shown earlier than the third week." In "if-then" terms the rule therefore means "If H is shown earlier than the third week (in week 1 or week 2), then I must be shown in the first week." Since I must be shown in the first week if this rule triggers, that means there is no possible scenario where H can be shown first (hence, the "Not Law" in the diagram). From the third rule, wherever H cannot be, S cannot be either, meaning we can also diagram a "Not Law" for S in week 1. Putting all the above information together, the basic takeaways from this rule are that H and S cannot be in week 1, and if H is shown in week 2, then I must be shown in week 1. The contrapositive is that if I is not shown in week 1, then H must be shown in week 3 or week 4.
This is an Advanced Linear, Underfunded, Unbalanced game.
Below is a basic diagram of the setup (scroll down within the picture to view the entire list of diagrammed rules). There are several points to note.
1. The linear component to the game is structured around the four consecutive weeks, which constitute the base.
2. In each week two paintings must be shown, one oil and one watercolor. Because the scenario and rules don't require a determination of which painting comes first in a given week, it is arbitrary which type of painting is placed on top and which on bottom in the diagram.
3. The game is underfunded. There are only 3 oil paintings, each of which must be shown at least once, meaning to fill the 4th week, one oil painting must be shown twice. The same is true of the watercolor paintings.
4. Since no painting can be shown in consecutive weeks, there are only a limited number of options for which weeks the paintings shown twice can be shown. They will be shown twice in weeks: 1 and 3, 2 and 4, or 1 and 4. While there isn't an efficient way to depict that in the setup (templates are not a productive option for this setup, because there are too many possible solutions), it is helpful to make the inference and keep an eye on it in any given solution.
5. Because Gold and Ping cannot be shown together, and because there must be at least one week in which H and S are shown, it cannot be the case that both Gold and Ping are shown twice (though one of them could be shown twice).
6. The final rule is a complicated "unless" form of conditional rule. Use the PowerScore "Unless Method" for diagramming unless statements. Step one is to make the "unless" clause the necessary condition. Here, "I is shown in week 1" is the necessary condition. Step two is to negate the remaining condition and then diagram it as the sufficient condition. The negation of "H cannot be shown earlier than the third week" is "H is shown earlier than the third week." In "if-then" terms the rule therefore means "If H is shown earlier than the third week (in week 1 or week 2), then I must be shown in the first week." Since I must be shown in the first week if this rule triggers, that means there is no possible scenario where H can be shown first (hence, the "Not Law" in the diagram). From the third rule, wherever H cannot be, S cannot be either, meaning we can also diagram a "Not Law" for S in week 1. Putting all the above information together, the basic takeaways from this rule are that H and S cannot be in week 1, and if H is shown in week 2, then I must be shown in week 1. The contrapositive is that if I is not shown in week 1, then H must be shown in week 3 or week 4.
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R inference. We know that G is an oil painting, which means that it must be shown with a watercolor painting. G cannot be shown with P because of the not-law. G cannot be shown with S because S requires oil painting H. Therefore, any time that G is shown in a given week, the watercolor that is shown must be R.