The well-known puzzle is simple. Freeze the water in the jugs.
Take the ice from the jugs and put it into the barrel.
You will be able to tell which water came from which jug.
In my variant, the water is frozen in one bucket only, but not entirely so for it has a small lake with a fish in.
This block of ice is then removed from its bucket and placed in the barrel. The other bucket is then emptied into the barrel. The frozen block floats as an iceberg.
I catch the fish that is swimming in the main water and I catch the fish that is swimming in the iceberg lake.
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