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Smart Trams (Posted on 2012-04-26) Difficulty: 4 of 5
This is a variation of Elite Etile.

Consider all possible valid English words having at least 3 letters and at most 13 letters that satisfy the following conditions:
  • Each word ends with a letter that immediately follows the letter that the word begins with. (For example, if a word begins with c it must end in d), and:
  • Reversing the letters we obtain another valid English word, and:
  • None of the words can be proper nouns, acronyms or abbreviations, and:
  • None of the words can be hyphenated like A-bomb, X-ray etc.
What is the longest word that satisfies all the given conditions? What are the respective first word and the last word appearing alphabetically? Does there exist any valid English word having more than 13 letters that satisfies all the conditions?

No Solution Yet Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): The two letter word(s?) | Comment 8 of 10 |
(In reply to re: The two letter word(s?) by Dej Mar)

Yeah I know, 3 letters.  But the two letter words felt left out and it's not like the 13 letter maximum was ever even approached.

I questioned the letter limit when this was in the queue, since it seemed arbitrary.

  Posted by Jer on 2012-04-27 22:23:35

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