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 Dave Killoran
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#26556
Setup and Rule Diagram Explanation

This is a Basic Linear: Balanced game.

The initial scenario for the game places eight compositions in order, creating a Basic Linear game:

PT32-Oct 2000 LGE-G3_srd1.png

The first rule creates an unusual block that places T ahead of F or behind R:

PT32-Oct 2000 LGE-G3_srd2.png

This block could also be diagrammed as:

PT32-Oct 2000 LGE-G3_srd3.png

Note that this rule is unusual in that it links T to two separate variables, and those two variables are independent of each other. Because of the uncertain nature of this block, no Not Laws can be drawn.

The second rule creates a rotating RF split-block, with at least two compositions between R and F:

PT32-Oct 2000 LGE-G3_srd4.png

Jumping ahead, the sixth rule is similar to the second rule:

PT32-Oct 2000 LGE-G3_srd5.png

The presence of the words “at least” at the start of the second and sixth rules make this game a bit more difficult than would otherwise be expected. The split-blocks diagrammed above have the “min” designation in order to indicate that the designated split is the minimum required by the rule. For example, R and F must be separated by at least two spaces, but they could be separated by three or more spaces. Because of the uncertainty in these two rules, a large number of the questions are Local.

According to the third rule, O is first or fifth, and according to the fourth rule H or L is performed eighth:

PT32-Oct 2000 LGE-G3_srd6.png

Finally, the fifth rule states that P is performed at some time before S, creating a basic sequence:

PT32-Oct 2000 LGE-G3_srd7.png

Accordingly, S cannot be performed first, and P cannot be performed seventh (the last available open spot), leading to the final diagram for the game:

PT32-Oct 2000 LGE-G3_srd8.png

Note that O is also linked to S through the last rule. If O is fifth, then S must be second (and P must be first), or S must be third, or S must be seventh (it cannot be eighth due to the fourth rule).

The key to the game is to fit all of the blocks together. You must constantly be on the watch for scenarios where not all the blocks can fit together.
 cindyhylee87
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#36009
Hi,

The explanation says that if O is the fifth,then S must be the second and P must be the first. However, I can not get this definite inference through the set-up.

Thanks,
Cindy
 Adam Tyson
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#36010
Read that one a little more carefully, Cindy - the explanation says that if O is 5th then S must be 2nd OR 3rd OR 7th. If we put S 2nd then P is 1st because P is always before S, but S could also be 3rd or 7th.

Careful reading is crucial on this test! Keep at it!
 cindyhylee87
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#36047
Hi Adam,

I just overlooked it. Thanks!

Cindy
 rydesh
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#37439
Hi,

Would it be reasonable to diagram rule 6 as 2 not blocks? such as (S/O) and (O/S)
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 Jonathan Evans
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#37480
Rydesh,

Absolutely. That's a perfectly valid way to symbolize this rule. Great observation! In effect, this rule creates two not blocks. Well done!
 aaholt
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#40127
How do we know H/L are 7/8?
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 Dave Killoran
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#40128
aaholt wrote:How do we know H/L are 7/8?
The diagram only shows H/L as 8th, and that is the result of the fourth rule, which reads: "The eighth composition performed is either L or H."

Thanks!
 mlouidor
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#42539
Hi, I'm having a lot of trouble with my setup on Game #5 of Lesson 3's Logic Games Lesson. Any pointers?
 Claire Horan
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#42576
Hi Mlouidor,

If you are having trouble diagramming this game, it may be that you are not making the best use of the "at least" rules.

One of the rules states: "At least two compositions are performed either after F or before R, or after R and before F."

This rule can be diagrammed with a block:

          min
F/R ___ ___ R/F

The other "at least" rule can be diagrammed with this block:

          min
O/S ___ S/O

Writing the blocks this way will help you visualize superimposing them on the diagram. Let us know if you have any more specific questions!

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