- 15,751
- 8,943
This is an update to the survey I announced three moths ago here. As of now I have found paths to 7240 words or 55.8% of the total. So far, all but two subgroups of words can be solved with my 4-word initial filter
CARED BEWIG LUMPY KNOTS
with no more than a total of 7 guesses. Both subgroups are highly degenerate.
The first group has 12 members:
BARED CARED DARED EARED FARED HARED OARED PARED RARED SARED TARED WARED
I consider this an "accidental degeneracy" in that one of the four words in the filter belongs to the group the members which differ by only the first letter. This means branching out to a special set of filters conditional to the first guess of CARED returning _ ARED. The conditional filter provides solutions to all 12 members with no more than 6 guesses.
The second group is a subgroup of 76 words matching the pattern _ E _ TS. My initial 4-word filter reduces their number to 11:
FESTS FETTS HEFTS HESTS JESTS SETTS SEXTS TESTS TEXTS VESTS ZESTS
After substantial exploring, I was able to find filters that provide paths to solving all but 2 words in seven guesses or fewer. The two outliers are JESTS and TESTS which are doubly-degenerate after the 6th guess. This means that if either one is the target word, the solver has to get lucky and guess right in a 50-50 situation but there is no guaranteed path in no more than 7. In the frequency table on the right the 2 scores of 7.5 correspond to these two words.
I will keep plugging away. It's been fun so far and I have learned quite a few new words.
N.B. I googled HEST and I found that, according to Merriam-Webster, it is an archaic form that means bidding or precept. I then clicked the link "How do you use HEST in a sentence?" and was taken to the following AI-generated gem:
"Amy Hest gently and expertly explores these themes in The Summer We Found the Baby.”
(sigh!)
CARED BEWIG LUMPY KNOTS
with no more than a total of 7 guesses. Both subgroups are highly degenerate.
The first group has 12 members:
BARED CARED DARED EARED FARED HARED OARED PARED RARED SARED TARED WARED
I consider this an "accidental degeneracy" in that one of the four words in the filter belongs to the group the members which differ by only the first letter. This means branching out to a special set of filters conditional to the first guess of CARED returning _ ARED. The conditional filter provides solutions to all 12 members with no more than 6 guesses.
The second group is a subgroup of 76 words matching the pattern _ E _ TS. My initial 4-word filter reduces their number to 11:
FESTS FETTS HEFTS HESTS JESTS SETTS SEXTS TESTS TEXTS VESTS ZESTS
I will keep plugging away. It's been fun so far and I have learned quite a few new words.
N.B. I googled HEST and I found that, according to Merriam-Webster, it is an archaic form that means bidding or precept. I then clicked the link "How do you use HEST in a sentence?" and was taken to the following AI-generated gem:
"Amy Hest gently and expertly explores these themes in The Summer We Found the Baby.”
(sigh!)