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The 11+1 Balls Problem

You have 12 balls. Eleven of them are the same weight but the twelfth is either lighter or heavier...you don't know which!

You have a pair of balancing scales on which you can weigh the balls against each other to compare weights.

With 3 weighing of the scales find which ball has a different weight to the others and whether it is heavier than the other.

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