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[OLD]The King and the Blacksmith


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This is a long one..


300 years ago there lived a king of ill heart and much pride. He had a daughter, whom he had promised to a rich neighbor, but she had a different plan: she fell in love with a plain lad, a blacksmith named Kecho. The lovers tried to run to the mountains but were caught.

Angered, the king decided to execute Kecho. However, to not appear as a cruel tyrant before his daughter and the people, and to SHOW the blacksmith as intellectually unworthy for marriage to royalty, he let Kecho decide his own execution based on his wits. The next day he had Kecho placed in a room with nine doors. Each door led to a single room. One of the rooms contained the princess while the rest of the rooms were either empty or contained a tiger. Above each door was a sign.


Here's a list of the signs:



Room I: The lady is in an odd-numbered room.


Room II: This room is empty.


Room III: Either sign on Room V is right or sign on Room VII is wrong.

Room IV: Sign on Room I is wrong.


Room V: Either sign on Room II or sign on Room IV is right.


Room VI: Sign on Room III is wrong.


Room VII: The lady is not in Room I.


Room VIII: This room has a tiger and Room IX is empty.


Room IX: This room has a tiger and sign on Room VI is wrong.


The king told Kecho, "The sign on the door of the room containing the princess is true; the signs on the doors of all the rooms containing the tigers are false; while those on the empty rooms can be either true or false."


The king even gave Kecho a hint and told him whether Room VIII was empty or not. If Kecho would be intelligent worthy, he should be able to find the princess. Kecho could then open doors until he finds the princess or a tiger and his death.


Behind which door is the princess?

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Okay, there's a flaw in this riddle.  

If there's a tiger in the room, the sign is wrong.  If the room is empty, the sign is either right or wrong.  If the lady is in the room, the sign is right.


Room VIII says: This room has a tiger and room IX is empty.  This room is empty because the room with a tiger is NOT going to say it has a tiger, because that would be right.  The sign is wrong because it says it has a tiger in it.

Room IX says: This room has a tiger and sign on room VI is wrong.  This room is empty based on the same theory as above.  However, if this room is empty, that makes the sign on room VIII right AND wrong.  It didn't say the sign could be both, it said it would be one or the other.

So, that's my answer to the riddle.  You can't figure it out because the signs contradict themselves.



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