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Comment Partial answer to twelve marbles (Score 1) 1965

12 marbles, 1 balance scale, 3 chances to use the scale.
One marble is different in weight (lighter or heavier).
How do you find which one?

(more clues to answer below)

3 places to put the marbles,
Balance Scale [left side, right side] , and on the table.

3 states for the balance Scale: left side goes up, left side goes down, no movement.

The full answer is very elegant.
Very fun to write down.
Then more questions come up, like: how many trials are necessary for 13 balls? 16? 30? any random number?

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