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logical deduction – Thriller Horse Race (Logic)


The ultimate positions of every horse are

1st: Abbey (Lane 8, House 20)
2nd: Broley (Lane 4, House 18)
third: Cammy (Lane 2, House 15)
4th: Horsey (Lane 6, House 14)
fifth: Emmy (Lane 1, House 10)
sixth: Fogey (Lane 7, House 9)
seventh: Grumpy (Lane 3, House 5)
sixth: Denny (Lane 5, House 2)
Final arrangement of the horses

Rationalization:

Clues 1, 3, 4, and 5 mix to provide us the spacings:
D _ _ G _ _ _ F _ _ _ _ H C
Clue 2 tells us that now we have one other group:
B _ A

From clue 12, since we all know that the horse 13 forward of Denny is Cammy, the horse to the fitting of Cammy is Grumpy.
From clue 8, since Grumpy is to the fitting of Cammy, Cammy have to be 5 areas behind the horse in first. Subsequently, Cammy is in house 15. This additionally offers us the areas for Denny, Grumpy, Fogey, and Horsey.
From clue 14, we all know there’s a horse 4 areas forward of Emmy. This implies Emmy can’t be in first, so Abbey needs to be first, with Broley in house 18.
Emmy is proscribed to areas 4 behind one other horse, at this level house 1, 10, or 11. From clue 11, there’s a horse 7 forward of final place, so Emmy can’t be final. That places Emmy in house 10 or 11, and Denny in final place.

At this level, the order and house for everybody (besides Emmy, with potential places indicated in lowercase) is finalized.
_ D _ _ G _ _ _ F e e _ _ H C _ _ B _ A

Now to work on the rows.
From clue 6, Abbey is on to the fitting of Fogey.
From clue 7, Broley is on to the left of Denny, and from clue 9, Denny is to the left of Horsey
From clue 8, Grumpy is to the fitting of Cammy, and from clue 10, Cammy is to the fitting of Emmy
This provides us the three groupings F A, B D H, and E C G
From clue 14 we both have H _ A (if Emmy is in house 10) or C _ A (if Emmy is in house 11). Since we won’t reconcile C _ A with the present groupings of rows, we now know that Emmy is in house 10, and now we have two groupings of horses left-to-right: B D H F A and E C G.
The ultimate bit is from clue 13 – We do not even must parse your complete clue, simply observe that it tells us there is a horse to the left of Broley (the one horse 16 areas forward of every other horse).
This provides us the ultimate order in rows, from left to proper, of
E C G B D H F A
Mixed with the ultimate spacing for every horse offers us all the pieces we want for the ultimate row, house, and rank of every horse.

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