An algebraic riddle ... the king has an ongoing deal for anyone in the kingdom. He has 9 coins, one of them is lighter than the rest. However, you are not allowed to touch the coins to weigh them. The king gives you a two pan balance. If you figure out the fake coin in one try you get the kingdom, in 2 tries you'll be second in command, in 3 tries you'll be sent to jail, four or more you'll die. How do you find the fake coin?

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An algebraic riddle ... the king has an ongoing deal for anyone in the kingdom. He has 9 coins, one of them is lighter than the rest. However, you are not allowed to touch the coins to weigh them. The king gives you a two pan balance. If you figure out the fake coin in one try you get the kingdom, in 2 tries you'll be second in command, in 3 tries you'll be sent to jail, four or more you'll die. How do you find the fake coin?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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