Tuesday 7 June 2016

word - As easy as Three, Two, One... How fast can you go from Five to Four?


You have to reach Four from Five in the minimum number of tries with the following rules.



  • You are only allowed to change one letter at a time.

  • You have to keep the word length the same.

  • At each step of the way, you must have a legitimate English word. Thus, something like going from "FIVE" to "FOVE" is not a valid step, but from "BEAN" to "BEEN" would be.


For example: How do you go from $LAND$ to $SANE$?


Answer: $LAND$ $\rightarrow$ $SAND$ (1) $\rightarrow$ $SANE$ (2). Done in 2 steps, all real words.




Answer



Just signed up to share some of the solutions (3 of them) I was able to come up with in 6 steps:



1) FIVE $\rightarrow$ FAVE $\rightarrow$ FARE $\rightarrow$ FART $\rightarrow$ FAUT $\rightarrow$ FAUR $\rightarrow$ FOUR
2) FIVE $\rightarrow$ FAVE $\rightarrow$ FACE $\rightarrow$ FACT $\rightarrow$ FAUT $\rightarrow$ FAUR $\rightarrow$ FOUR
3) FIVE $\rightarrow$ DIVE $\rightarrow$ DOVE $\rightarrow$ DORE $\rightarrow$ DORR $\rightarrow$ DOUR $\rightarrow$ FOUR



OH MAN! After a lot of searching I was able to do it in 5 steps (5 solutions):



1) .. FIVE $\rightarrow$ FIRE $\rightarrow$ ... FORE .... $\rightarrow$ FORD $\rightarrow$ FOUD $\rightarrow$ FOUR

2,3) FIVE $\rightarrow$ FINE $\rightarrow$ FIND/FONE $\rightarrow$ FOND $\rightarrow$ FOUD $\rightarrow$ FOUR
4,5) FIVE $\rightarrow$ FINE $\rightarrow$ FINS/FONE $\rightarrow$ FONS $\rightarrow$ FOUS $\rightarrow$ FOUR



I confirmed the words on Anagrammer.


EDIT: although all words are accepted on Anagrammer, someone pointed out in the comments that two of the words used in the 6-step solutions should be considered French. I agree with that, so I am not sure about the correctness of those answers. However, the 5-step solutions use only english words.


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