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  3. TWCP OTD (The Who Cares Puzzle Of The Day) - 24th of January, 2017

TWCP OTD (The Who Cares Puzzle Of The Day) - 24th of January, 2017

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  • OriginalGriffO OriginalGriff

    Kornfeld Eliyahu Peter wrote:

    which is the most frequent digit in the list of numbers form 1 to 1000?

    Assuming that those are spelling errors:

    2 it the least frequent, with only one instance.
    0 is the most frequent, with three instances.
    Poor old 1 has only two instances in the collection {1, 2, 1000}

    Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

    Kornfeld Eliyahu PeterK Offline
    Kornfeld Eliyahu PeterK Offline
    Kornfeld Eliyahu Peter
    wrote on last edited by
    #22

    Remember! I'm not only writing bad English, but also reading that way...

    Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

    "It never ceases to amaze me that a spacecraft launched in 1977 can be fixed remotely from Earth." ― Brian Cox

    1 Reply Last reply
    0
    • R realJSOP

      Real programmers start counting with 0, and logically speaking, a list of 1000 numbers would only go to 999. Using my logic: Most instances = 1 through 9 (all tied) Least instances = 0 If you did it wrong (as stated by the original message), 1 would be first (by just one instance), and 0 would still be the least used. Actual results: 1-1000 0 = 300 1 = 300 2 = 300 3 = 300 4 = 300 5 = 300 6 = 300 7 = 300 8 = 300 9 = 189 0-999 0 = 190 1 = 300 2 = 300 3 = 300 4 = 300 5 = 300 6 = 300 7 = 300 8 = 300 9 = 297

      ".45 ACP - because shooting twice is just silly" - JSOP, 2010
      -----
      You can never have too much ammo - unless you're swimming, or on fire. - JSOP, 2010
      -----
      When you pry the gun from my cold dead hands, be careful - the barrel will be very hot. - JSOP, 2013

      M Offline
      M Offline
      Mark_Wallace
      wrote on last edited by
      #23

      That's taking digits into account, though, but, numerically, eleven isn't one twice, for example; it's eleven (which becomes obvious with any base other than 10). Either zero or one would have to be the absolute top, in real-world usage: 0. Unlike any other number, any amount of zeroes = zero, so finance, decimal fractions, etc, will rack up huge amounts of the non-existent buggers. 1. Everything (that grokels use) starts from 1, so it is therefore highly used because it's always there, even if [2 ... 99] aren't.  And, language-wise, expressions like "Oh, just one more thing..." are used a gajillion times more often than "Oh, just [2 ... 99] more things...". Someone must have done a study on this! It's way more interesting and useful than a huge amount of "research" I hear about. (i.e. it's a tiny bit useful and interesting)

      I wanna be a eunuchs developer! Pass me a bread knife!

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      • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

        THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

        Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

        M Offline
        M Offline
        Mark_Wallace
        wrote on last edited by
        #24

        Damn! I glanced at your OP too quickly, obviously, and completely misread it. Why do pressures of work always have to get in the way of really useful stuff, like talking bollocks in the Lounge!?!

        I wanna be a eunuchs developer! Pass me a bread knife!

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        • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

          THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

          Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

          M Offline
          M Offline
          Munchies_Matt
          wrote on last edited by
          #25

          1

          T 1 Reply Last reply
          0
          • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

            THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

            Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

            Mike HankeyM Offline
            Mike HankeyM Offline
            Mike Hankey
            wrote on last edited by
            #26

            13 being the less frequent because I don;t like it and my girlfriend says it makes her butt look big.

            New version: WinHeist Version 2.2.2 Beta
            I told my psychiatrist that I was hearing voices in my head. He said you don't have a psychiatrist!

            P 1 Reply Last reply
            0
            • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

              THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

              Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

              T Offline
              T Offline
              TonyManso
              wrote on last edited by
              #27

              Being as this is the "Who Cares Puzzle Of The Day", wouldn't the best answer be... "WHO CARES?" Just saying. :doh:

              1 Reply Last reply
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              • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

                Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                Richard DeemingR Offline
                Richard DeemingR Offline
                Richard Deeming
                wrote on last edited by
                #28

                Sod it - my brain is too knackered to work this out. Time to cheat! :D

                Enumerable.Range(1, 1000)
                .SelectMany(i => i.ToString())
                .GroupBy(d => d, (Digit, items) => new { Digit, Count = items.Count() })
                .Dump();

                Digit | Count

                1 | 301
                2 | 300
                3 | 300
                4 | 300
                5 | 300
                6 | 300
                7 | 300
                8 | 300
                9 | 300
                0 | 192


                "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

                1 Reply Last reply
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                • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                  THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

                  Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                  T Offline
                  T Offline
                  TheGreatAndPowerfulOz
                  wrote on last edited by
                  #29

                  0 is the least used 1 is the most used

                  #SupportHeForShe Government can give you nothing but what it takes from somebody else. A government big enough to give you everything you want is big enough to take everything you've got, including your freedom.-Ezra Taft Benson You must accept 1 of 2 basic premises: Either we are alone in the universe or we are not alone. Either way, the implications are staggering!-Wernher von Braun

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                  0
                  • M Munchies_Matt

                    1

                    T Offline
                    T Offline
                    TheGreatAndPowerfulOz
                    wrote on last edited by
                    #30

                    0

                    #SupportHeForShe Government can give you nothing but what it takes from somebody else. A government big enough to give you everything you want is big enough to take everything you've got, including your freedom.-Ezra Taft Benson You must accept 1 of 2 basic premises: Either we are alone in the universe or we are not alone. Either way, the implications are staggering!-Wernher von Braun

                    1 Reply Last reply
                    0
                    • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                      THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

                      Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                      I Offline
                      I Offline
                      imzhangqin
                      wrote on last edited by
                      #31

                      000 001 ... 009 010 011 ... 019 ... 990 001 ... 999 so, from 000 ~ 999, all digit are equal. But, remove leading '0', '0' is least frequent. Adding 1000, so, 1 is most frequent.

                      1 Reply Last reply
                      0
                      • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                        THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

                        Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                        I Offline
                        I Offline
                        imzhangqin
                        wrote on last edited by
                        #32

                        000 001 ... 009 010 011 ... 019 ... 990 001 ... 999 so, from 000 ~ 999, all digit are equal. But, remove leading '0', '0' is least frequent. Adding 1000, so, 1 is most frequent.

                        1 Reply Last reply
                        0
                        • Mike HankeyM Mike Hankey

                          13 being the less frequent because I don;t like it and my girlfriend says it makes her butt look big.

                          New version: WinHeist Version 2.2.2 Beta
                          I told my psychiatrist that I was hearing voices in my head. He said you don't have a psychiatrist!

                          P Offline
                          P Offline
                          PIEBALDconsult
                          wrote on last edited by
                          #33

                          If not that, then what?

                          Mike HankeyM 1 Reply Last reply
                          0
                          • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                            THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

                            Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                            P Offline
                            P Offline
                            PIEBALDconsult
                            wrote on last edited by
                            #34

                            1
                            10
                            11
                            100
                            101
                            110
                            111
                            1000

                            0 == 8 1 == 13

                            1 Reply Last reply
                            0
                            • P PIEBALDconsult

                              If not that, then what?

                              Mike HankeyM Offline
                              Mike HankeyM Offline
                              Mike Hankey
                              wrote on last edited by
                              #35

                              11s Ok but 12 is better. Oh you mean her butt...that's a touchy subject! :)

                              New version: WinHeist Version 2.2.2 Beta
                              I told my psychiatrist that I was hearing voices in my head. He said you don't have a psychiatrist!

                              1 Reply Last reply
                              0
                              • M Marc Clifton

                                Well, you've got 1-9, where all digits except 0 appear once. Then you've got 10-19, where 1 occurs 11 times, every other digit, including 0 now, once. Then you've got 20-29, where 2 occurs 11 times, etc. by 90-99, we have all digits in count except 0 which lags by 10 (every digit occurs twice in each set of 10 except 0 which occurs once, so you've got 10 sets, so 0 lags by 10. (every other digit in the set x0-x9 occurs 11 times). 100 - 109 - Now 0 makes up for a lost digit, but loses out again in the 1n0-1n9 (where 10 > n > 0) Ultimately, at 1000, 0 should still be the least frequent digit, and 1 gets a head start on everyone else. I think I thought that through properly, but my brain is still fried mapping XML to bizarre property fields in strange class relationships that someone else wrote and where all the rules are embedded in the business logic for creating said entity containers. :sigh: Marc

                                V.A.P.O.R.ware - Visual Assisted Programming / Organizational Representation Learning to code with python is like learning to swim with those little arm floaties. It gives you undeserved confidence and will eventually drown you. - DangerBunny Artificial intelligence is the only remedy for natural stupidity. - CDP1802

                                U Offline
                                U Offline
                                User 12831244
                                wrote on last edited by
                                #36

                                Yep, same thinking I had. Looks solid to me :-)

                                1 Reply Last reply
                                0
                                • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                                  THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

                                  Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                                  U Offline
                                  U Offline
                                  User 12831244
                                  wrote on last edited by
                                  #37

                                  Consider these by the length of the number we have 4 groups. 1-9 10-99 100-999 1000-1000 In the first three groups we only need to consider the first digit, the remaining digits will have an identical number of every digit 0-9, as they cover the complete range. In the final group there is only one number, so it is trivial. Group 1 adds 1 of 1-9. Group 2 adds 10 of 1-9. Group 3 adds 100 of 1-9. Group 4 adds 1 of 1 and 3 of 0. This makes 1 the most common (by 1) and 0 the least common.

                                  Kornfeld Eliyahu PeterK 1 Reply Last reply
                                  0
                                  • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                                    THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

                                    Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                                    U Offline
                                    U Offline
                                    User 12831244
                                    wrote on last edited by
                                    #38

                                    Ooh, I worked this out the easy way: count them... 14 1s and 9 0s. Easy!

                                    Kornfeld Eliyahu PeterK 1 Reply Last reply
                                    0
                                    • U User 12831244

                                      Consider these by the length of the number we have 4 groups. 1-9 10-99 100-999 1000-1000 In the first three groups we only need to consider the first digit, the remaining digits will have an identical number of every digit 0-9, as they cover the complete range. In the final group there is only one number, so it is trivial. Group 1 adds 1 of 1-9. Group 2 adds 10 of 1-9. Group 3 adds 100 of 1-9. Group 4 adds 1 of 1 and 3 of 0. This makes 1 the most common (by 1) and 0 the least common.

                                      Kornfeld Eliyahu PeterK Offline
                                      Kornfeld Eliyahu PeterK Offline
                                      Kornfeld Eliyahu Peter
                                      wrote on last edited by
                                      #39

                                      Is fascinating how one can get the right answer even from the wrong reasoning...

                                      Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                                      "It never ceases to amaze me that a spacecraft launched in 1977 can be fixed remotely from Earth." ― Brian Cox

                                      1 Reply Last reply
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                                      • U User 12831244

                                        Ooh, I worked this out the easy way: count them... 14 1s and 9 0s. Easy!

                                        Kornfeld Eliyahu PeterK Offline
                                        Kornfeld Eliyahu PeterK Offline
                                        Kornfeld Eliyahu Peter
                                        wrote on last edited by
                                        #40

                                        In the range of 1-99 there are 20 1s alone!!!

                                        Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                                        "It never ceases to amaze me that a spacecraft launched in 1977 can be fixed remotely from Earth." ― Brian Cox

                                        U 1 Reply Last reply
                                        0
                                        • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                                          THE MOST AND LESS FREQUENT DIGITS IN THE NUMBERS FROM 1 TO 1000 It is not about writing code - but it is possible - but some nice logical explanation... So which is the most frequent digit in the list of numbers form 1 to 1000? And the less frequent? Why? And even Google is our friend - it would be nice to not to tell him about it...

                                          Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                                          C Offline
                                          C Offline
                                          Chris C B
                                          wrote on last edited by
                                          #41

                                          Looks to me that everybody is wrong. There are clearly more zeros than ones. Each byte is packed with leading zeros. The ones are big-time losers. QED. :laugh:

                                          Kornfeld Eliyahu PeterK 1 Reply Last reply
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