- PowerScore Staff
- Posts: 8314
- Joined: Feb 02, 2011
This is a Basic Linear: Balanced Game.
The game should be set up as follows:
This game is perfectly Balanced, with 7 variables each filling one of 7 slots. An analysis of the variables reveals that S is a random, and this is indicated by the “*” notation. The first inference that can be made comes from the linkage of M and P. Since P must be delivered first or seventh, and exactly one package is delivered between P and M, it follows that M must be delivered third or fifth. Therefore, M cannot be delivered first, second, fourth, sixth or seventh. Since the earliest M can be delivered is third, that affects the delivery of T, and it can be inferred that T cannot be delivered first, second, or third.
Two other Not Laws also bear further examination. First, S cannot be delivered third because it sets off the following chain: M would be delivered fifth and P would be delivered seventh; in turn L and O have to be delivered second and fourth, with L being delivered second; this causes a problem since there is no room for N, which must be delivered after L. Second, O cannot be delivered fifth because of the problems it causes: M would have to be delivered third and P would have to be delivered first; since O and L must be separated by one package, L would have to be delivered seventh, and that is impossible since L must be delivered ahead of N.
Additionally, since the MP split-block is reduced to exactly two spacing options, one approach to setting up the game involves drawing out the two options, which are labeled #1 and #2 below:
In option #1, we can link rules and apply the M T rule, which yields the inference that T must be sixth when P is seventh and M is fifth. At this point, it should be apparent that you will have to keep an eye on L, N, and O since they are linked together. In general, the variables L, M, and P are the most powerful since each appears in two separate rules.