1. Joined
    08 Oct '05
    Moves
    723
    23 Oct '05 18:57
    1
    1 1
    2 1
    1 2 1 1
    1 1 1 2 2 1


    The problem is to find the next line. I can give the next line but then you must give the one after that. Effectively the real challenge is to get the rule for generating lines.
  2. Standard memberroyalchicken
    CHAOS GHOST!!!
    Elsewhere
    Joined
    29 Nov '02
    Moves
    17317
    23 Oct '05 19:01
    Originally posted by Virak
    1
    1 1
    2 1
    1 2 1 1
    1 1 1 2 2 1


    The problem is to find the next line. I can give the next line but then you must give the one after that. Effectively the real challenge is to get the rule for generating lines.
    312211

    Hint: a 4 will never appear in this sequence.
  3. Standard membergaurav2711
    walking...
    ...back
    Joined
    21 Aug '05
    Moves
    27002
    23 Oct '05 19:53
    Originally posted by royalchicken
    312211

    Hint: a 4 will never appear in this sequence.
    i get a diffrnt answer....
    3312211
  4. Standard memberroyalchicken
    CHAOS GHOST!!!
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    Joined
    29 Nov '02
    Moves
    17317
    23 Oct '05 20:28
    Originally posted by gaurav2711
    i get a diffrnt answer....
    3312211
    "three ones, two twos, one one"

    Of course, there are uncountably many correct answers to this puzzle.
  5. Standard memberNemesio
    Ursulakantor
    Pittsburgh, PA
    Joined
    05 Mar '02
    Moves
    32455
    24 Oct '05 07:45
    Originally posted by royalchicken
    312211

    Hint: a 4 will never appear in this sequence.
    13112221
    1112213211
    312211131221
    1311223113112211
    11132122132113212221
    3113121122111312211312113211

    Gee whiz!

    Why is it that a four will never appear? I mean, how does one mathematically
    express/prove such a thing? (not that I disbelieve you!)

    Nemesio
  6. SubscriberAThousandYoung
    All My Soldiers...
    tinyurl.com/y9ls7wbl
    Joined
    23 Aug '04
    Moves
    24791
    24 Oct '05 08:24
    Originally posted by Nemesio
    13112221
    1112213211
    312211131221
    1311223113112211
    11132122132113212221
    3113121122111312211312113211

    Gee whiz!

    Why is it that a four will never appear? I mean, how does one mathematically
    express/prove such a thing? (not that I disbelieve you!)

    Nemesio
    That's a new Poser/Puzzle! It grew naturally out of the original one!
  7. Joined
    26 Apr '03
    Moves
    25837
    24 Oct '05 20:46
    if a line has a 4, then the previous line must contain the sequence nnnn

    this parses as either:
    ...n's, n n's, n...
    or ... n n's, n n's

    both of which are illegal
  8. Joined
    08 Oct '05
    Moves
    723
    24 Oct '05 21:26
    The really long string of lines is correct.
    Not going to expose the rule (publically) yet though. If anyone wants it then pm me.
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