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  3. All But One Shall Die!

All But One Shall Die!

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  • N Nagy Vilmos

    Genghis Kahn, being in a good mood decides to spare one life of his 1,000 captives. He has them stand in a circle and runs a sword through every second man. If the first man is #1 [amongst Kahn's many crimes was a love for VB], which man will be left alive?

    speramus in juniperus

    P Offline
    P Offline
    Pete OHanlon
    wrote on last edited by
    #2

    Well, unless Genghis Kahn decides to stand in the circle, he should be fine.

    1 Reply Last reply
    0
    • N Nagy Vilmos

      Genghis Kahn, being in a good mood decides to spare one life of his 1,000 captives. He has them stand in a circle and runs a sword through every second man. If the first man is #1 [amongst Kahn's many crimes was a love for VB], which man will be left alive?

      speramus in juniperus

      L Offline
      L Offline
      Lost User
      wrote on last edited by
      #3

      The last one standing.

      Bastard Programmer from Hell :suss: If you can't read my code, try converting it here[^]

      P 1 Reply Last reply
      0
      • N Nagy Vilmos

        Genghis Kahn, being in a good mood decides to spare one life of his 1,000 captives. He has them stand in a circle and runs a sword through every second man. If the first man is #1 [amongst Kahn's many crimes was a love for VB], which man will be left alive?

        speramus in juniperus

        A Offline
        A Offline
        Abhinav S
        wrote on last edited by
        #4

        The first man will be left standing.

        Apps - Color Analyzer | Arctic | XKCD | Sound Meter | Speed Dial

        N 1 Reply Last reply
        0
        • L Lost User

          The last one standing.

          Bastard Programmer from Hell :suss: If you can't read my code, try converting it here[^]

          P Offline
          P Offline
          Pete OHanlon
          wrote on last edited by
          #5

          Doesn't that discriminate against people in wheelchairs?

          L 1 Reply Last reply
          0
          • N Nagy Vilmos

            Genghis Kahn, being in a good mood decides to spare one life of his 1,000 captives. He has them stand in a circle and runs a sword through every second man. If the first man is #1 [amongst Kahn's many crimes was a love for VB], which man will be left alive?

            speramus in juniperus

            L Offline
            L Offline
            Lost User
            wrote on last edited by
            #6

            Khaaaaaaaan!

            The language is JavaScript. that of Mordor, which I will not utter here
            I hold an A-7 computer expert classification, Commodore. I'm well acquainted with Dr. Daystrom's theories and discoveries. The basic design of all our ship's computers are JavaScript.

            OriginalGriffO Richard DeemingR 2 Replies Last reply
            0
            • A Abhinav S

              The first man will be left standing.

              Apps - Color Analyzer | Arctic | XKCD | Sound Meter | Speed Dial

              N Offline
              N Offline
              Nagy Vilmos
              wrote on last edited by
              #7

              He will be first down in the fourth time around...

              speramus in juniperus

              A 1 Reply Last reply
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              • N Nagy Vilmos

                He will be first down in the fourth time around...

                speramus in juniperus

                A Offline
                A Offline
                Abhinav S
                wrote on last edited by
                #8

                Delving a little deeper... 1,3,5,7....99 1,5,9,13......97 1,9,17,25,33,41,49,57,65,73,81,89,97 9,25,41,57,73,89 9,41,73, 9,73 73 73 survives!

                Apps - Color Analyzer | Arctic | XKCD | Sound Meter | Speed Dial

                N 1 Reply Last reply
                0
                • A Abhinav S

                  Delving a little deeper... 1,3,5,7....99 1,5,9,13......97 1,9,17,25,33,41,49,57,65,73,81,89,97 9,25,41,57,73,89 9,41,73, 9,73 73 73 survives!

                  Apps - Color Analyzer | Arctic | XKCD | Sound Meter | Speed Dial

                  N Offline
                  N Offline
                  Nagy Vilmos
                  wrote on last edited by
                  #9

                  You're in the right area [not]. If it was 100, then 73 would survive but there were 1,000. [clue] For smaller cases:

                  Prisoners 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
                  Survivor 1 1 3 1 3 5 7 1 3 5 7 9 11 13 15 1 3 5 7 9

                  There is a formula here... [fixed]

                  speramus in juniperus

                  Richard DeemingR 1 Reply Last reply
                  0
                  • L Lost User

                    Khaaaaaaaan!

                    The language is JavaScript. that of Mordor, which I will not utter here
                    I hold an A-7 computer expert classification, Commodore. I'm well acquainted with Dr. Daystrom's theories and discoveries. The basic design of all our ship's computers are JavaScript.

                    OriginalGriffO Offline
                    OriginalGriffO Offline
                    OriginalGriff
                    wrote on last edited by
                    #10

                    "...to the last I grapple with thee; from hell's heart I stab at thee; for hate's sake I spit my last breath at thee." Don't think Ahab was too happy really... :laugh:

                    "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
                    "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

                    J 1 Reply Last reply
                    0
                    • L Lost User

                      Khaaaaaaaan!

                      The language is JavaScript. that of Mordor, which I will not utter here
                      I hold an A-7 computer expert classification, Commodore. I'm well acquainted with Dr. Daystrom's theories and discoveries. The basic design of all our ship's computers are JavaScript.

                      Richard DeemingR Offline
                      Richard DeemingR Offline
                      Richard Deeming
                      wrote on last edited by
                      #11

                      http://khanaas.com/kirk/vilmos/[^] :-D


                      "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                      "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

                      N 1 Reply Last reply
                      0
                      • N Nagy Vilmos

                        You're in the right area [not]. If it was 100, then 73 would survive but there were 1,000. [clue] For smaller cases:

                        Prisoners 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
                        Survivor 1 1 3 1 3 5 7 1 3 5 7 9 11 13 15 1 3 5 7 9

                        There is a formula here... [fixed]

                        speramus in juniperus

                        Richard DeemingR Offline
                        Richard DeemingR Offline
                        Richard Deeming
                        wrote on last edited by
                        #12

                        Are you sure your clue is right? For example, with 14 prisoners, how can #15 be the survivor? :confused:


                        "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                        "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

                        N 1 Reply Last reply
                        0
                        • Richard DeemingR Richard Deeming

                          http://khanaas.com/kirk/vilmos/[^] :-D


                          "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                          N Offline
                          N Offline
                          Nagy Vilmos
                          wrote on last edited by
                          #13

                          I'll see you and raise![^]

                          speramus in juniperus

                          1 Reply Last reply
                          0
                          • P Pete OHanlon

                            Doesn't that discriminate against people in wheelchairs?

                            L Offline
                            L Offline
                            Lost User
                            wrote on last edited by
                            #14

                            Pete O'Hanlon wrote:

                            Doesn't that discriminate against people in wheelchairs?

                            Not more than your average daily scrum :)

                            Bastard Programmer from Hell :suss: If you can't read my code, try converting it here[^]

                            1 Reply Last reply
                            0
                            • Richard DeemingR Richard Deeming

                              Are you sure your clue is right? For example, with 14 prisoners, how can #15 be the survivor? :confused:


                              "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                              N Offline
                              N Offline
                              Nagy Vilmos
                              wrote on last edited by
                              #15

                              Small mistyping, I fix...

                              speramus in juniperus

                              Richard DeemingR 1 Reply Last reply
                              0
                              • N Nagy Vilmos

                                Small mistyping, I fix...

                                speramus in juniperus

                                Richard DeemingR Offline
                                Richard DeemingR Offline
                                Richard Deeming
                                wrote on last edited by
                                #16

                                Brain's not working properly today - I can see the pattern, but I can't see the formula. Is the answer #977?


                                "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                                "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

                                N 1 Reply Last reply
                                0
                                • Richard DeemingR Richard Deeming

                                  Brain's not working properly today - I can see the pattern, but I can't see the formula. Is the answer #977?


                                  "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                                  N Offline
                                  N Offline
                                  Nagy Vilmos
                                  wrote on last edited by
                                  #17

                                  Well done! For the number of prisoners P find N, the highest power of 2 less than or equal to P. The survivor S, is: S = (P-N) * 2 + 1

                                  speramus in juniperus

                                  Richard DeemingR 1 Reply Last reply
                                  0
                                  • N Nagy Vilmos

                                    Well done! For the number of prisoners P find N, the highest power of 2 less than or equal to P. The survivor S, is: S = (P-N) * 2 + 1

                                    speramus in juniperus

                                    Richard DeemingR Offline
                                    Richard DeemingR Offline
                                    Richard Deeming
                                    wrote on last edited by
                                    #18

                                    Ah! That's what I did. I was expecting a more mathematical formula than that. :)


                                    "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                                    "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

                                    E 1 Reply Last reply
                                    0
                                    • Richard DeemingR Richard Deeming

                                      Ah! That's what I did. I was expecting a more mathematical formula than that. :)


                                      "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                                      E Offline
                                      E Offline
                                      ednrg
                                      wrote on last edited by
                                      #19

                                      This is nasty and sloppy, but it figures it out to be 505. Where did I got wrong (other than write some horrific code :laugh: )?

                                      class Program
                                      {
                                          static List captures = new List();
                                      
                                          static void Main(string\[\] args)
                                          {
                                              PopulateCaptures();
                                              int survivor = FindLastOne();
                                      
                                              Console.WriteLine("The last one is: {0}", survivor);
                                      
                                              Console.Write("\\n\\nHit any key to continue...");
                                              Console.ReadKey();
                                          }
                                      
                                          static void PopulateCaptures()
                                          {
                                              for (int i = 1; i <= 1000; i++)
                                                  captures.Add(i);
                                          }
                                      
                                          static int FindLastOne(int startingPosition = 0)
                                          {
                                              int retVal = -1;
                                      
                                              List dead = new List();
                                      
                                              if (captures.Count == 1)
                                              {
                                                  retVal = captures\[0\];
                                                  return retVal;
                                              }
                                      
                                              if (startingPosition == 0)
                                                  startingPosition = 2;
                                      
                                              if (startingPosition == 1)
                                                  captures.RemoveAt(0);
                                      
                                              for (int i = 1; i <= captures.Count; i++)
                                              {
                                                  if (i % 2 == 0)
                                                  {
                                                      dead.Add(captures\[i - 1\]);
                                                  }
                                              }
                                      
                                              foreach (int i in dead)
                                              {
                                                  captures.Remove(i);
                                              }
                                      
                                              if (captures.Count % 2 != 0)
                                                  startingPosition = 1;
                                      
                                              if (captures.Count == 1)
                                                  retVal = captures\[0\];
                                              else
                                                  retVal = FindLastOne(startingPosition);
                                      
                                              return retVal;
                                          }
                                      }
                                      
                                      Richard DeemingR 1 Reply Last reply
                                      0
                                      • E ednrg

                                        This is nasty and sloppy, but it figures it out to be 505. Where did I got wrong (other than write some horrific code :laugh: )?

                                        class Program
                                        {
                                            static List captures = new List();
                                        
                                            static void Main(string\[\] args)
                                            {
                                                PopulateCaptures();
                                                int survivor = FindLastOne();
                                        
                                                Console.WriteLine("The last one is: {0}", survivor);
                                        
                                                Console.Write("\\n\\nHit any key to continue...");
                                                Console.ReadKey();
                                            }
                                        
                                            static void PopulateCaptures()
                                            {
                                                for (int i = 1; i <= 1000; i++)
                                                    captures.Add(i);
                                            }
                                        
                                            static int FindLastOne(int startingPosition = 0)
                                            {
                                                int retVal = -1;
                                        
                                                List dead = new List();
                                        
                                                if (captures.Count == 1)
                                                {
                                                    retVal = captures\[0\];
                                                    return retVal;
                                                }
                                        
                                                if (startingPosition == 0)
                                                    startingPosition = 2;
                                        
                                                if (startingPosition == 1)
                                                    captures.RemoveAt(0);
                                        
                                                for (int i = 1; i <= captures.Count; i++)
                                                {
                                                    if (i % 2 == 0)
                                                    {
                                                        dead.Add(captures\[i - 1\]);
                                                    }
                                                }
                                        
                                                foreach (int i in dead)
                                                {
                                                    captures.Remove(i);
                                                }
                                        
                                                if (captures.Count % 2 != 0)
                                                    startingPosition = 1;
                                        
                                                if (captures.Count == 1)
                                                    retVal = captures\[0\];
                                                else
                                                    retVal = FindLastOne(startingPosition);
                                        
                                                return retVal;
                                            }
                                        }
                                        
                                        Richard DeemingR Offline
                                        Richard DeemingR Offline
                                        Richard Deeming
                                        wrote on last edited by
                                        #20

                                        Try this:

                                        int index = 1;
                                        var prisoners = Enumerable.Range(1, 1000).ToList();
                                        while (prisoners.Count != 1)
                                        {
                                        while (index < prisoners.Count)
                                        {
                                        prisoners.RemoveAt(index);

                                            // We've killed a prisoner, so the rest of the list has moved up one place.
                                            // Therefore, we only need to move to the next place to skip the next prisoner.
                                            index++;
                                        }
                                        
                                        if (index == prisoners.Count + 1)
                                        {
                                            // We killed the last one in the list; start the next round with the second in the list:
                                            index = 1;
                                        }
                                        else
                                        {
                                            // We killed the second to last; start the next round with the first:
                                            index = 0;
                                        }
                                        

                                        }

                                        Console.WriteLine(prisoners[0]);


                                        "These people looked deep within my soul and assigned me a number based on the order in which I joined." - Homer

                                        "These people looked deep within my soul and assigned me a number based on the order in which I joined" - Homer

                                        E 1 Reply Last reply
                                        0
                                        • OriginalGriffO OriginalGriff

                                          "...to the last I grapple with thee; from hell's heart I stab at thee; for hate's sake I spit my last breath at thee." Don't think Ahab was too happy really... :laugh:

                                          J Offline
                                          J Offline
                                          JMK89
                                          wrote on last edited by
                                          #21

                                          OriginalGriff wrote:

                                          "...to the last I grapple with thee; from hell's heart I stab at thee; for hate's sake I spit my last breath at thee."

                                          That quote always reminds me of the Simpsons!

                                          OriginalGriffO 1 Reply Last reply
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