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hello everyone! Can some please help me with the diagram for this game?

Im almost certain what I got was completely wrong!! Thanks in advance.

Edit: the diagram below doesn't appear correctly when I post it, but here is what it says -

House 1: S/T
House 3: R
House 5: T
House 7: R/S

House 2: ___
House 4: R/T
House 6: S
House 8: T



R, S, T

Rules:

1)
R/R; S/S; T/T/.

2) S/
S

3) House 3 = R

4) House 6 = S

5) R --> RT or TR

Edit: Better diagram

House 1: S/T
House 3: R
House 5: T
House 7: R/S

House 2: ___
House 4: R/T
House 6: S
House 8: T

(the "---" are only so that the diagram can appear correctly on TLS)

S/T----R-----T----R/S
____ ____ ___ ___
1 -----3 ----5 ----7


----- R/T----S------T
___ ___ ____ ____
2-----4 -----6 -----8



Inferences:

If house 3 is R, house 5 must be T. This is because 1) adjacent houses are of different styles, so house 5 CANNOT be R, and 2) no split level house faces another split level house, so house 5 CANNOT be S. Thus, T must be house 5.

This also makes means that house 1 must be either S/T, house 4 must be either R/T and house 7 must be either R/S because adjacent houses are of different styles.

Lastly, house 8 must be T.

Why? Because house 8 cannot be S (for the same reason as stated above); it also cannot be R because this would leave no room for the rule (R --> RT or TR), so it must be T.

Hope this helps.

thanks man