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    A little Problem...

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    • daleD Offline
      dale
      last edited by

      OK now if you model and render the eight balls and seven rabbits, the price of the rabbits will go up,(because thats going to take a while, and time is money) and the weight of the balls will vary based on the visual weight they are allotted, now things are different! (oh render engine of your choice by the way ๐Ÿ˜„ )

      Just monkeying around....like Monsanto

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      • pilouP Offline
        pilou
        last edited by

        @ Jeff
        Number's 3 answer is good but explanation seems lack of precision and sybilline for external visitor ๐Ÿ˜„
        What about object number 1,2,3,4,5,6,7,8,9,10,11,12? ๐Ÿ˜ฎ
        Does is it less or more heavy or current? ๐Ÿ˜‰

        Frenchy Pilou
        Is beautiful that please without concept!
        My Little site :)

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        • jeff hammondJ Offline
          jeff hammond
          last edited by

          @unknownuser said:

          @ Jeff
          Number's 3 answer is good but explanation seems lack of precision and sybilline for external visitor ๐Ÿ˜„
          What about object number 1,2,3,4,5,6,7,8,9,10,11,12? ๐Ÿ˜ฎ
          Does is it less or more heavy or current? ๐Ÿ˜‰

          haha..
          i'm definitely not the best at explaining myself.. if i tried to explain using object numbers, it would get a lot more confusing i think ๐Ÿ˜„

          but here goes an example.. let's say the heavier object is #9

          place objects 1-6 on one side then objects 7-12 on the other.. 7-12 will weigh more so that eliminates objects 1-6

          place 7,8, & 9 on one side then 10, 11, & 12 on the other.. 7-9 will weigh more so that eliminates 10-12..

          place 7 on one side and 8 on the other... they weigh the same so that means 9 is the oddball.

          [EDIT] and then as Anssi said, in real life, you know you're going to test #9 against some of the other objects so the real world answer is at least 4 if not more ๐Ÿ˜„

          dotdotdot

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          • jeff hammondJ Offline
            jeff hammond
            last edited by

            @unknownuser said:

            You can't say first 9 is heavy!

            ha
            well i did that for sake of explanation..

            regardless, i can figure out the answer in about 5 seconds but i could sit here all day long trying to explain how ๐Ÿ˜„
            it's a fault of mine..

            dotdotdot

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            • pilouP Offline
              pilou
              last edited by

              @ Jeff : yes but...no ๐Ÿ’š

              You can't say first 9 is heavy!

              You must make first all combinaisons and then say for this combinaison 9 is heavy !
              So draw first all the tree !

              Here your proposition ๐Ÿ˜„


              Jeff.jpg

              Frenchy Pilou
              Is beautiful that please without concept!
              My Little site :)

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              • pilouP Offline
                pilou
                last edited by

                ๐Ÿ˜„
                If i take you 11 oranges and one false your explanation don't work ๐Ÿ˜†
                Only with a 1/24 hasard ๐Ÿ˜†

                Frenchy Pilou
                Is beautiful that please without concept!
                My Little site :)

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                • jeff hammondJ Offline
                  jeff hammond
                  last edited by

                  really? the way i see it, you can always find the the heavy one in 3 tries.. you mind showing the 1 out of 24 when it wouldn't work?

                  further, using a different starting technique using 12 objects (5vs5), it's possible to find the oddball in 2 tries.. sometimes (17% chance of doing it 2)

                  let's say the heavier object is #11..

                  place 1,2,3,4,5 on one side and 6,7,8,9,10 on the other.. they weigh the same so that eliminates 1-10

                  place #11 on one side and #12 on the other..

                  11 weighs more so you've found it in 2 weighings.

                  dotdotdot

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                  • R Offline
                    remus
                    last edited by

                    Annsi, sorry, typo. 2 is the right answer to the original question ๐Ÿ‘

                    Ive got another one for you.

                    http://upload.wikimedia.org/wikipedia/commons/0/07/Tower_of_Hanoi.jpeg

                    (This problem is an extended case of the above problem.)

                    The aim is to transfer all the discs from one pole to another without placing a larger disc on a smaller disc at any point.

                    The rules for moving the discs:
                    -you can only move 1 at a time,
                    -a move consists of moving one disc from one pole to another without changing the position of any other discs;
                    -a disc must always be placed on a larger disc or directly on the base.

                    If i can move the discs at a rate of 10 a minute, how long would it take me to complete a puzzle with 64 discs?

                    For additional cool points, can you prove your answer? and how does adding a 4th pillar effect the solution?

                    http://remusrendering.wordpress.com/

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                    • jeff hammondJ Offline
                      jeff hammond
                      last edited by

                      @remus said:

                      If i can move the discs at a rate of 10 a minute, how long would it take me to complete a puzzle with 64 discs?

                      wait, you didn't mention what the finished puzzle should be.. do you mean start with the picture and move the stack to a different pole following your guidelines?

                      [edit1]oh wait.. 3 poles, all 64 discs are off the poles, then build one stack on one pole?

                      [edit2] ok, i think i got it now ๐Ÿ˜ณ.. start with a stack of 64 discs on one pole then transfer them to another pole ?

                      dotdotdot

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                      • pilouP Offline
                        pilou
                        last edited by

                        @Jeff
                        Of course yes, it's just the methodology ๐Ÿ˜‰
                        In the real world you will be obliged to make all combinaisons first till find a solution and say this is the false object! ๐Ÿ˜‰
                        Try it in the real world and you will see that i am right โ˜€

                        Frenchy Pilou
                        Is beautiful that please without concept!
                        My Little site :)

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                        • R Offline
                          remus
                          last edited by

                          @unknownuser said:

                          wait, you didn't mention what the finished puzzle should be.. do you mean start with the picture and move the stack to a different pole following your guidelines?

                          Thats it, the aim is to move all the discs to another pole following the rules, so for 2 discs the solution would look like this:
                          hanoi1.jpg
                          hanoi2.jpg
                          hanoi3.jpg
                          hanoi4.jpg

                          http://remusrendering.wordpress.com/

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                          • E Offline
                            Ecuadorian
                            last edited by

                            @remus said:

                            -a disc must always be placed on a larger disc.

                            ...or directly on the base.

                            -Miguel Lescano
                            Subscribe to my house plans YouTube channel! (30K+ subs)

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                            • R Offline
                              remus
                              last edited by

                              Updated ๐Ÿ˜„

                              http://remusrendering.wordpress.com/

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                              • pilouP Offline
                                pilou
                                last edited by

                                That is more interresting ๐Ÿ’š
                                You can win 2 millions $ for make a "little" puzzle ๐Ÿ˜„
                                But now make speedy answer : 31 12 2009 end first step of the game! โ—

                                http://idolina.free.fr/images/ludique/logo Eternity.jpg

                                Frenchy Pilou
                                Is beautiful that please without concept!
                                My Little site :)

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                                • jeff hammondJ Offline
                                  jeff hammond
                                  last edited by

                                  can i just answer 'it's going to take forever' ?
                                  that is a huge huge number that i don't really know how to write ๐Ÿ˜„

                                  i did find a method to obtain the answer though

                                  basically,
                                  2disc = 3 moves
                                  3disc = 7
                                  4disc = 15
                                  5disc = 31
                                  6disc = 63
                                  etc..

                                  following that sequence, 7discs = 127 then 8 = 255
                                  i'll try to get it better than that though.

                                  dotdotdot

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                                  • R Offline
                                    remus
                                    last edited by

                                    Good start jeff ๐Ÿ‘ Youve got what we in the business call a recursive solution i.e. you can find n+1 if you know n.

                                    The general solution should be fairly easy to find from there.

                                    http://remusrendering.wordpress.com/

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                                    • R Offline
                                      remus
                                      last edited by

                                      Your a factor of 100 out, you can make 10 moves a minute whereas i guess you took a move takes 10 minutes. Otherwise correct though ๐Ÿ‘

                                      http://remusrendering.wordpress.com/

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                                      • jeff hammondJ Offline
                                        jeff hammond
                                        last edited by

                                        well, here's the answer i'm going to go with but this stuff is over my head.. i like the practical everyday logic puzzles much better ๐Ÿ˜„

                                        184,467,440,737,095,516,150 minutes

                                        [edit] hmm.. maybe that's 10 minutes too long? i guess you don't have to wait 10 minutes before making the very first move.

                                        [edit2] oops agian.. i figured it as if you make one move every 10 minutes instead of 10 per minute..
                                        so maybe it's more like
                                        1,844,674,407,370,955,161 minutes...and 30seconds

                                        dotdotdot

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                                        • jeff hammondJ Offline
                                          jeff hammond
                                          last edited by

                                          @remus said:

                                          Your a factor of 100 out, you can make 10 moves a minute whereas i guess you took a move takes 10 minutes. Otherwise correct though ๐Ÿ‘

                                          right.. i update my post as you were posting yours.

                                          ok, i'm gonna go eat ice cream now ๐Ÿ˜„

                                          dotdotdot

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                                          • R Offline
                                            remus
                                            last edited by

                                            Very sensible ๐Ÿ‘

                                            http://remusrendering.wordpress.com/

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