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 2022-12-05, 09:26 #1 tgan   Jul 2015 1001102 Posts December 2022
 2022-12-05, 21:05 #2 uau   Jan 2017 5×31 Posts The problem statement is missing a condition that all the letters in the words must be from the given 12.
 2022-12-06, 13:49 #3 Dieter   Oct 2017 8B16 Posts DEC 2022 „Find a box that has only a single two-word solution.“ Does that mean: „ There is no other two- word solution“ or „There are no other solutions at all, for example such with 5 words with three letters or so“
 2022-12-07, 15:57 #4 dg211   Jun 2016 348 Posts I also wasn't sure if it was supposed to mean "there is exactly one solution, and it is exactly two words long" or "the number of two-word solutions is one, but there may be solutions of other lengths". I don't see a minimum word length in the puzzle description either (but the NYT puzzle seems to have minimum length 3). All the single letters are considered valid words in the provided dictionary, so I think technically you could just do the same letter repeated a bunch of times. For example, I think ['u', 'u', 'u', ... 'unclot', 'throwback'] would technically be valid for the example given. (In my reading of the rules that doesn't violate the rule about consecutive letters coming from different sides, because they are separate words, and the first letter of one word is the same as the previous word).
 2022-12-07, 16:03 #5 dg211   Jun 2016 22×7 Posts Given the number of 2 letter words in the dictionary which would allow you to create an unlimited number of solutions of the form 'ab', 'ba', 'ab' ... I'm leaning towards it being necessary to interpret the question as "there is only one 2-word solution, but there may be solutions of other lengths".
2022-12-07, 16:49   #6
petrw1
1976 Toyota Corona years forever!

"Wayne"
Nov 2006

122358 Posts

Quote:
 Originally Posted by dg211 Given the number of 2 letter words in the dictionary which would allow you to create an unlimited number of solutions of the form 'ab', 'ba', 'ab' ... I'm leaning towards it being necessary to interpret the question as "there is only one 2-word solution, but there may be solutions of other lengths".
Rule #4 covers that; unless you can find a solution with one 2-letter word and one 12 letter word.
4. All the letters in the square must appear in the sequence of words in the solution.

 2022-12-07, 17:45 #7 Dieter   Oct 2017 139 Posts December Ponder This But we have to know, if the 3-letter-rule of the NYT is valid for us, because we could find a box with exactly one two-word solution, if a word must have at least 3 letters, but more such solutions, if words with two letters are allowed. Formulated otherwise: if we find a box with two two-word solutions, the first one with two words à 8 letters and the second one with one 2-letter word and one 12 letter word: is that a solution?
2022-12-07, 18:02   #8
dg211

Jun 2016

22×7 Posts

Quote:
 Originally Posted by petrw1 Rule #4 covers that; unless you can find a solution with one 2-letter word and one 12 letter word. 4. All the letters in the square must appear in the sequence of words in the solution.
I just meant that you could always pad your solution with extra 2 letter words e.g. ['unclot', 'throwback'] couldn't be the only solution of any length, because 'un' and 'nu' are both in the dictionary, so you could do ['un', 'nu', 'unclot', 'throwback']. There are so many 2 letter words in that dictionary that my gut instinct is that it would be extremely hard to find a solution with the interpretation that there can be no solutions other than the single, length 2 solution.

 2022-12-07, 18:10 #9 dg211   Jun 2016 111002 Posts The fact that the question asks you to "Find a box that has only a single two-word solution." with no comma between "single" and "two-word" also suggests to me that it's reasonable to take it as meaning there can be multiple solutions, but only one that is 2 words long.
2022-12-07, 19:27   #10
Dieter

Oct 2017

139 Posts

Quote:
 Originally Posted by dg211 The fact that the question asks you to "Find a box that has only a single two-word solution." with no comma between "single" and "two-word" also suggests to me that it's reasonable to take it as meaning there can be multiple solutions, but only one that is 2 words long.
Ok, but what is a word? Can 2 letters be a word? See #7.

 2022-12-16, 01:03 #11 raresaturn     Jul 2021 3810 Posts Somewhat similar to the 'Song In A Box' puzzle I created Attached Thumbnails

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