SOLUTION IF #4 IS EITHER HEAVY OR LIGHT

 

Here is solution if Unique Weight was number 4 and Light

1st weigh
Place 1 2 3 and 4 on Left side and Place 5 6 7 8 on Right side
Left side may be Light OR Right side may be Heavy
So Unique weight is either 1 2 3 or 4 is Light OR 5 6 7 or 8 is Heavy

2nd weigh
Place 1 2 and 6 on Left and Place 3 4 and 5 on Right
Left side may contain a Heavy OR Right side may contain a Light
Cannot be 1 or 2 as Heavy or 5 as Light- see earlier results in Weigh #1
Must be Unique weight is 3 or 4 or 6

3rd weigh
Place 3 on Left Place 4 on Right Is it 3 Heavy ? or 4 Light?
Cant be 3 Heavy so it is 4 Light

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Now here is the Solution if the number 4 you selected is Heavy instead of Light

1st weigh
Place 1 2 3 and 4 on Left side Place 5 6 7 and 8 on Right side
Left side is Heavy OR Right side is Light
So Unique weight is either 1 2 3 or 4 is Heavy OR 5 6 7 or 8 is light

2nd weigh
Place 1 2 and 6 on Left and Place 3 4 and 5 on Right
Left side is Light OR Right side is Heavy
So unique is either 1 2 or 6 is Light OR 3 or 4 or 5 is Heavy
Canít be 1 or 2 or 5 (see earlier weigh results)
Must be 6 being Low OR 3 or 4 being Heavy

3rd weigh
Place 3 on Left and Place 4 on Right
Left side is Light OR Right side is Heavy
Can it be 3 as Light? NO
It was a possible Heavy in weigh#2 so It is 4 as Heavy
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