you are given 5 coins and a balance scale. The coins look alike but one is counterfeit and either heavier ….?

you are given 5 coins and a balance scale. The coins look alike but one is counterfeit and either heavier or lighter than the others. Find the counterfeit coin using just 3 weighings on the scale, and tell if it is heavier or lighter than the others. Be sure to show all possibilities after each weighing.

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