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#1
03-15-2007, 11:12 PM
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Unoriginal lastchance POG Championship entry (good one though)
A king decides to give 100 of his prisoners a test. If they pass, they can go free. Otherwise, the king will execute all of them. The test goes as follows: the prisoners stand in a line, all facing forward. The king puts either a black or a white hat on each prisoner. The prisoners can only see the colors of the hats in front of them. Then, in any order they want, each one guesses the color of the hat on their head. Other than that, the prisoners can not speak. To pass, no more than 1 of them may guess incorrectly. If they have time to make their strategy beforehand, how can they be assured that they will survive? 
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#3
03-15-2007, 11:53 PM
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Re: Unoriginal lastchance POG Championship entry (good one though)
answer in white: <font color="white"> REMOVE THE SPACE BETWEEN THE SLASHES http:/ /forumserver.twoplustwo.com/showflat.php?Cat=0&Board=puzzles&Number=60 36890&Searchpage=1&Main=6036277&Words= modulo&topic=&Search=true#Post6036890 </font>
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#4
03-15-2007, 11:59 PM
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Re: Unoriginal lastchance POG Championship entry (good one though)
<font color="white">The last person (#100) says the color of the person in front of him (#99). #99 now knows the color of his own hat. If #98 has the same color as him, then #99 says that color immediately. If #98 has the other color, then #99 waits a certain length of time before saying the color of his hat. Based on whether or not he waits, everyone will know the color of #98's hat. He can look at #97's hat and do the same thing. Repeat until finished.</font>
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#5
03-16-2007, 12:08 AM
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Re: Unoriginal lastchance POG Championship entry (good one though)
le sigh
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