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Posers and Puzzles

Posers and Puzzles

  1. 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 member royalchicken
    CHAOS GHOST!!!
    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 member gaurav2711
    walking...
    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 member royalchicken
    CHAOS GHOST!!!
    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 member Nemesio
    Ursulakantor
    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. Subscriber AThousandYoung
    It's about respect
    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. 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. 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.