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 One Native, Two Roads (Posted on 2006-05-22)
You are lost once again in the land of Knights, Knaves, and Liars, and once again you find yourself at a fork in the road. You know that one path will lead you to a safe return home, while the other will lead you to your own gruesome demise. (You really need to find a better vacation spot next year!)

Standing at the fork is a native, who might be either a Knight (who always tells the truth), a Knave (who alternates between true and false statements), or a Liar (who always lies). You have no way of knowing which he is. Worse yet, you realize that if he is a knave, you don't know if he will tell you the truth first, and then lie, or lie first and then tell the truth, etc.

What is the fewest number of questions you have to ask to find out which is the safe road, and what are they?

 See The Solution Submitted by tomarken Rating: 3.8333 (6 votes)

 Subject Author Date ONE QUESTION Andre 2010-05-28 18:58:30 answer K Sengupta 2007-05-09 13:27:02 re: 3 to 5 questions, depending on who you figure out first liz 2006-06-09 09:48:16 3 to 5 questions, depending on who you figure out first liz 2006-06-09 09:27:09 3 Questions Dax Fuiten 2006-05-29 00:11:03 Just a guess Salil 2006-05-28 01:56:58 The safe road Gina Ernyey 2006-05-26 14:15:54 re(4): The jury isn't in. (re: question and solution) Dej Mar 2006-05-25 01:56:54 re(3): The jury isn't in. (re: question and solution) Venkat 2006-05-25 00:34:35 re(2): The jury isn't in. (re: question and solution) Dej Mar 2006-05-25 00:28:03 re: The jury isn't in. (re: question and solution) Venkat 2006-05-24 23:44:13 The jury isn't in. (re: question and solution) Dej Mar 2006-05-24 08:26:24 re: My solution Vernon Lewis 2006-05-23 07:17:33 single question Robby Goetschalckx 2006-05-23 03:36:33 My solution Caleb 2006-05-23 02:59:55 answer Rachael 2006-05-23 02:05:08 re: What I would do Josh 2006-05-23 01:25:18 Home Sweet Home Dej Mar 2006-05-23 00:57:41 re: What I would do MathManiac 2006-05-22 23:18:28 What I would do Vernon Lewis 2006-05-22 17:09:17 2 questions Patrick 2006-05-22 15:18:09

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