• Knights-Knaves-Knarks puzzle

    From HenHanna@NewsGrouper@user4055@newsgrouper.org.invalid to rec.puzzles on Tue Oct 7 19:38:34 2025
    From Newsgroup: rec.puzzles


    I like submitting puzzles, but not if they're stupidly difficult.
    Anyone want a Knights-Knaves-Knarks puzzle which is fun and challenging?
    It is NOT ridiculously hard: a friend solved it in a quarter-hour. Cheers, James


    Maybe you can preface them with easy ones.


    Knights-Knaves-Knarks puzzle -----

    guesses as to what Knarks are...........

    their responses are Random
    OR their responses alternate between True and False
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From James Dow Allen@user4353@newsgrouper.org.invalid to rec.puzzles on Sat Oct 11 12:30:06 2025
    From Newsgroup: rec.puzzles


    HenHanna@NewsGrouper <user4055@newsgrouper.org.invalid> posted:

    I like submitting puzzles, but not if they're stupidly difficult.
    Anyone want a Knights-Knaves-Knarks puzzle which is fun and challenging? >>> It is NOT ridiculously hard: a friend solved it in a quarter-hour.
    Cheers, James

    Maybe you can preface them with easy ones.

    * Natives are each in exactly one of three tribes (Knights, Knaves, or Knarks) * Each native knows which tribe every other native is in.
    * Knights utter only true statements and they utter them two at a time.
    * Knaves utter only false statements, again two at a time.
    * Knarks utter sentences only in pairs with one (the 1st or 2nd) True,
    and the other sentence False.

    Here's an easy example.
    From their statements determine the tribes of Alice and Bob.

    Alice:
    "Bob is a Knark."
    "I am a Knight."

    Bob:
    "Alice is a Knark."
    "I am not a Knark."

    - - - - - - - - - - - -

    Just now I used Search and discovered that I'd posted several boring Knights-Knaves-Knarks puzzles 19 years ago. ::Gak!::

    https://newsgrouper.org/rec.puzzles/search/1157354169/1157354169

    The new one I have in mind is much nicer, I swear!

    Cheers,
    James
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Heathfield@rjh@cpax.org.uk to rec.puzzles on Mon Oct 13 11:00:04 2025
    From Newsgroup: rec.puzzles

    On 11/10/2025 13:30, James Dow Allen wrote:

    HenHanna@NewsGrouper <user4055@newsgrouper.org.invalid> posted:

    I like submitting puzzles, but not if they're stupidly difficult. >>>>> Anyone want a Knights-Knaves-Knarks puzzle which is fun and challenging? >>>>> It is NOT ridiculously hard: a friend solved it in a quarter-hour.
    Cheers, James

    Maybe you can preface them with easy ones.

    * Natives are each in exactly one of three tribes (Knights, Knaves, or Knarks)
    * Each native knows which tribe every other native is in.
    * Knights utter only true statements and they utter them two at a time.
    * Knaves utter only false statements, again two at a time.
    * Knarks utter sentences only in pairs with one (the 1st or 2nd) True,
    and the other sentence False.

    Here's an easy example.
    From their statements determine the tribes of Alice and Bob.

    Alice:
    "Bob is a Knark."
    "I am a Knight."

    Bob:
    "Alice is a Knark."
    "I am not a Knark."

    - - - - - - - - - - - -
    ..........This isn't a spoiler; yes, it is.
    ..........This isn't a spoiler; yes, it is
    ..........This isn't a spoiler; yes, it i
    ..........This isn't a spoiler; yes, it
    ..........This isn't a spoiler; yes, it
    ..........This isn't a spoiler; yes, i
    ..........This isn't a spoiler; yes,
    ..........This isn't a spoiler; yes,
    ..........This isn't a spoiler; yes
    ..........This isn't a spoiler; ye
    ..........This isn't a spoiler; y
    ..........This isn't a spoiler;
    ..........This isn't a spoiler;
    ..........This isn't a spoiler
    ..........This isn't a spoile
    ..........This isn't a spoil
    ..........This isn't a spoi
    ..........This isn't a spo
    ..........This isn't a sp
    ..........This isn't a s
    ..........This isn't a
    ..........This isn't a
    ..........This isn't
    ..........This isn't
    ..........This isn'
    ..........This isn
    ..........This is
    ..........This i
    ..........This
    ..........This
    ..........Thi
    ..........Th
    ..........T
    ..........
    .........
    ........
    .......
    ......
    .....
    ....
    ...
    ..
    .

    K(night)
    (Kna)V(e)
    (Kna)R(k)

    Alice:
    "Bob is a Knark."
    "I am a Knight."

    Bob:
    "Alice is a Knark."
    "I am not a Knark."

    If A = K: A1=T => B1=F, B2=F =>B = R => A != K
    If A = V: A1=F => B2=T, B1 = T => A != V (If Alice is a knave,
    Bob is not a knark, so his second statement is true, so he's not
    a knave, so all that's left for him is a knighthood, so Alice
    can't be a knave.)

    We have proved A!=K and A != V, => A=R.

    A2=F, => A1=T, => B = R.

    "Warrior for the side of right,
    I avow that I'm a Knight;
    On the cusp of light and dark,
    Half a cur is Bob the Knark." - Alice.
    --
    Richard Heathfield
    Email: rjh at cpax dot org dot uk
    "Usenet is a strange place" - dmr 29 July 1999
    Sig line 4 vacant - apply within
    --- Synchronet 3.21a-Linux NewsLink 1.2