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This is a Basic Linear Game.
The game features six foods added one at a time, and thus we have created a diagram with six spaces. Because no food can be added more than once, the variables are in a one-to-one relationship with the spaces:
The first two rules of this game are conditional, and Linear games that feature conditional rules often are slightly harder than games that feature only Not Law, block, and sequencing rules. A close examination of the first two rules yields some useful inferences:
- When Z is added first, L must be added before O. Thus, when Z is added first, L cannot be added sixth and O cannot be added second:
Note: The “ ” symbol means that the two events at the ends of the arrow cannot both occur.
From the first rule, we know that when M is added third, L must be added sixth. Thus, if M is added third, then L could not come before O, and therefore when M is third, Z cannot be first:
Clearly, when Z is added first, the number of solutions to the game is limited. These scenarios are tested in question #5 and will be discussed in more detail then.
The last rule also bears examination. The rule is sequential, but contains an element of uncertainty because you cannot determine the exact relative order of the variables. There are only two possible orders that result from the rule:
T M K
K M T
Regardless of the exact order, we can infer that M is never added first or last (this is shown on our diagram with Not Laws). Additionally, if M is added second, either T or K must be added first; if M is added fifth, either T or K must be added sixth.
Combining the third and fourth rules, we can infer that if M is added fourth, then T or K must be added sixth.
If we combine the first and last rule, we can infer that if M is added third, then either T or K must be added fourth.