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Old 2022-12-05, 09:26   #1
tgan
 
Jul 2015

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Default December 2022

https://research.ibm.com/haifa/ponde...ember2022.html
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Old 2022-12-05, 21:05   #2
uau
 
Jan 2017

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The problem statement is missing a condition that all the letters in the words must be from the given 12.
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Old 2022-12-06, 13:49   #3
Dieter
 
Oct 2017

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„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“
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Old 2022-12-07, 15:57   #4
dg211
 
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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).
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Old 2022-12-07, 16:03   #5
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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".
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Old 2022-12-07, 16:49   #6
petrw1
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Quote:
Originally Posted by dg211 View Post
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.
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Old 2022-12-07, 17:45   #7
Dieter
 
Oct 2017

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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?
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Old 2022-12-07, 18:02   #8
dg211
 
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Quote:
Originally Posted by petrw1 View Post
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.
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Old 2022-12-07, 18:10   #9
dg211
 
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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.
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Old 2022-12-07, 19:27   #10
Dieter
 
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Quote:
Originally Posted by dg211 View Post
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.
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Old 2022-12-16, 01:03   #11
raresaturn
 
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Somewhat similar to the 'Song In A Box' puzzle I created
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