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The king's crown is encrusted with three types of gemstones: diamonds, emeralds, and sapphires.
The number of diamonds is more than twice the number of emeralds.
The number of sapphires is less than half the number of emeralds.
What's the fewest possible number of gems encrusted on the king's crown?
How much is this crown worth, anyway?
The king's crown has at least 11 gems.
If there are only one or two emeralds, they won't fulfill the condition for the sapphires, so there have to be at least three emeralds for there to be one sapphire. And if there are at least three emeralds, there must be seven diamonds.
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