SeeTen-Hat Variant (http://en.wikipedia.org/wiki/Prisoners_and_hats_puzzle#Ten-Hat_Solution).

On 2011-3-3 18:02, rajul jain wrote:
@naveen
but in this question don't know numbers of black and red hats like prison and hat puzzle

On Thu, Mar 3, 2011 at 3:25 PM, Naveen Kumar <[email protected] <mailto:[email protected]>> wrote:

    http://en.wikipedia.org/wiki/Prisoners_and_hats_puzzle

    On Thu, Mar 3, 2011 at 3:01 PM, amit kumar
    <[email protected] <mailto:[email protected]>> wrote:

        ya at least 10 can be easily freed


        On Thu, Mar 3, 2011 at 2:18 PM, Manish Pathak
        <[email protected] <mailto:[email protected]>> wrote:

            I think that the last person will tell the color of next
            front person of him, that means next person will sure that
            his hat color will be color ,telling by back person.
            thus person 19 ,17,15,13,11,9,7,5,3,1 th position will get
            free,and rest amy or may not be...

            if i am wrong ,tell me....



            On Thu, Mar 3, 2011 at 1:48 PM, freecoder
            <[email protected] <mailto:[email protected]>>
            wrote:

                You are one of 20 prisoners on death row with the
                execution date set
                for tomorrow.

                Your king is a ruthless man who likes to toy with his
                people's
                miseries. He comes to your cell today and tells you:

                “I’m gonna give you prisoners a chance to go free
                tomorrow. You will
                all stand in a row (queue) before the executioner and
                we will put a
                hat on your head, either a red or a black one. Of
                course you will not
                be able to see the color of your own hat; you will
                only be able to see
                the prisoners in front of you with their hats on; you
                will not be
                allowed to look back or communicate together in any
                way (talking,
                touching.....)

                (The prisoner in the back will be able to see the 19
                prisoners in
                front of him
                The one in front of him will be able to see 18…)

                Starting with the last person in the row, the one who
                can see
                everybody in front of him, he will be asked a simple
                question: WHAT IS
                THE COLOR OF YOUR HAT?

                He will be only allowed to answer “BLACK” or “RED”. If
                he says
                anything else you will ALL be executed immediately.

                If he guesses the right color of the hat on his head
                he is set free,
                otherwise he is put to death. And we move on to the
                one in front of
                him and ask him the same question and so on…

                Well, good luck tomorrow, HA HA HA HA HA HA!”

                Now since you all can communicate freely during the
                night, can you
                find a way to guarantee the freedom of some prisoners
                tomorrow? How
                many?

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--
            Thanks and Regards,

            ManishPathak **

            TimesJobs.com
            [email protected] <http://timesgroup.com>
            Mo.  9015687266


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-- Cheers
    Naveen Kumar
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